3.) Write an equation of a line that has a negative slope and goes through the y-axis at -5.

Answers

Answer 1

Answer:

y = -x -5

Step-by-step explanation:

The -x (i.e., multiplication of x by -1) gives the line a slope of -1. The -5 translates the line down to cross the y-axis at -5.


Related Questions

which quadratic equation equivalent to (x+2)^2+5(x+2)-6=0

Answers

Answer:

[tex]\large\boxed{u^2+5u-6=0,\ where\ u=(x+2)}[/tex]

Step-by-step explanation:

[tex](x+2)^2+5(x+2)-6=0\\\\\text{Substitute}\ (x+2)=u:\\\\\underbrace{(x+2)}_{u}^{}^2+5\underbrace{(x+2)}_{u}-6=0\\\\u^2+5u-6=0[/tex]

Answer:

The answer is C

Step-by-step explanation:

What is 40percent of 50

Answers

Answer:

20

Step-by-step explanation:

25=50% so minus 5

Answer:

20

Step-by-step explanation:

Multiply 50 by 0.4

Solve for x in the equation x squared + 14 x + 17 = negative 96. x = negative 7 plus-or-minus 4 StartRoot 6 EndRoot i x = –7 ± 8i x = 7 plus-or-minus 4 StartRoot 6 EndRoot i x = 7 ± 8i

Answers

Answer:

[tex]x=-7\pm8i[/tex]

Step-by-step explanation:

we have

[tex]x^{2} +14x+17=-96[/tex]

Equate to zero

[tex]x^{2} +14x+17+96=0[/tex]

[tex]x^{2} +14x+113=0[/tex]

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2} +14x+113=0[/tex]

so

[tex]a=1\\b=14\\c=113[/tex]

substitute in the formula

[tex]x=\frac{-14\pm\sqrt{14^{2}-4(1)(113)}} {2(1)}[/tex]

[tex]x=\frac{-14\pm\sqrt{-256}} {2}[/tex]

Remember that

[tex]i=\sqrt{-1}[/tex]

so

[tex]x=\frac{-14\pm16i} {2}[/tex]

[tex]x=-7\pm8i[/tex]

Answer:

its b on edge

Step-by-step explanation:

How many edges does this figure have?

Answers

Answer:

please show the figure

Step-by-step explanation:

Which figure lol looool

Select 3 expressions that have a sum or difference of 3 /4 .

A . 1/2 + 2/4

B . 11/12 − 1/6

C. 3/5 + 3/20

D . 7/8 − 1/2

E . 2/3 + 1/12

Answers

Answer:

The Three expressions that have a sum or difference of 3 /4 .

B . 11/12 − 1/6

C. 3/5 + 3/20

E . 2/3 + 1/12

Step-by-step explanation:

The Three expressions that have a sum or difference of 3 /4 .

are

B . 11/12 − 1/6

[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{1\times 2}{6\times 2}\\\\\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{2}{12}=\dfrac{11-2}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{3}{4}[/tex]

C. 3/5 + 3/20

[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3\times 4}{5\times 4}+\dfrac{3}{20}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{12}{20}+\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3}{4}[/tex]

E . 2/3 + 1/12

[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{2\times 4}{3\times 4}+\dfrac{1}{12}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{8+1}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{3}{4}[/tex]

Final answer:

Expressions B (11/12 − 1/6), C (3/5 + 3/20), and E (2/3 + 1/12) each simplify to a sum or difference of 3/4 after finding a common denominator and simplifying the fractions.

Explanation:

To find 3 expressions that have a sum or difference of 3/4, let's evaluate each option given:

A. 1/2 + 2/4 simplifies to 1/2 + 1/2, which equals 2/2 or 1. This does not equal 3/4.B. 11/12 − 1/6 can be calculated by finding a common denominator, which would be 12. So, 1/6 is equivalent to 2/12. Thus, 11/12 − 2/12 equals 9/12, which simplifies to 3/4.C. 3/5 + 3/20 requires us to find a common denominator, which would be 20. So, 3/5 is equivalent to 12/20. Thus, 12/20 + 3/20 equals 15/20, which simplifies to 3/4.D. 7/8 − 1/2 requires a common denominator, which would be 8. So, 1/2 is equivalent to 4/8. Thus, 7/8 − 4/8 equals 3/8. This does not equal 3/4.E. 2/3 + 1/12 requires a common denominator, which would be 12. So, 2/3 is equivalent to 8/12. Thus, 8/12 + 1/12 equals 9/12, which simplifies to 3/4.

Therefore, the three expressions that have a sum or difference of 3/4 are B, C, and E.

while swimming in the pool, you attempt to swim the whole length of the pool without getting a breath. you are able to do it 3 out 5 times you attempt. if you attempted to do it 10 times, how many did you make it?​

Answers

Answer:

30 out of 50 times.

Step-by-step explanation:

1 attempt represents 3 out of 5 times.

10 attempts equals 1 attempt x 10.

Multiply numbers 3 and 5 by 10.

3 x 10 = 30

5 x 10 = 50.

Therefore, your solution is 30 / 50 times.

Using the probability of the initial success rate (60%), if you attempt to swim across the pool without taking a breath 10 times, you are expected to succeed 6 out of 10 times.

The question you're asking involves a simple concept in mathematics known as probability. The event of you being able to swim across the pool without taking a breath has so far occurred with a probability of 3 successes out of 5 attempts, or a 60% success rate. This is essentially an application of a ratio - you have succeeded 3 times for every 5 attempts you made. We can apply this ratio to predict outcomes over a larger number of trials.

If you were to attempt to swim across the pool without taking a breath 10 times and maintain the same success rate of 60%, you would be expected to make it 6 times out of 10 (since 60% of 10 is 6). Here's the breakdown:

Calculate the success rate from the initial trials: 3/5 = 60%

Apply that success rate to a larger number of trials: 60% of 10 = 6

Note that real-life scenarios might deviate slightly due to variability, but based on the given probability, we predict 6 successful swims across the pool in 10 attempts.1

What is the sale price if there is a 60% discount and the original price is $750?

Answers

Answer:

17

Step-by-step explanation:

50

Solve the proportion below.
54\x=9\7
x=
a. 36
b. 52
c. 63
d. 42​

Answers

Answer:

Hi it’s c63

Step-by-step explanation:

Beacause 60+3=63

Answer:

x=42

Step-by-step explanation:

The jones family is taking a trip from seattle to san diego CA over the course of 3 days. They plan on traveling 200 miles more on the second day than they will on the first day. They will travel 75 miles less on the third day than they will on the first day. The total distance of the trip is 1058 miles. How many miles will they travel each day?

Answers

Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.

It is given that on day 2 , Jones family travel for 200 miles more than day 1 and on day 3 for 75 miles less than day 1.

We have to find out distance travelled on each day of trip if total distance of trip is 1058 miles.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the questions ;

Jones family has a trip of 3 days.

Let's assume they travel distance of x miles on first day.

Distance they will travel on second day = x + 200 miles

Distance they will travel on third day = x - 75 miles

Total distance of trip = 1058 miles

i.e.,

x + (x + 200) + (x - 75) = 1058 miles

3x + 125 = 1058

3x = 1058 - 125

3x = 933

x = 311 miles

So , they travel for a distance of 311 miles on day 1.

&

On day 2 ;

= 311 + 200

= 511 miles

&

on day 3 ;

= 311 - 75

= 236 miles

Thus , Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.

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How to solve c/-9+6=14

Answers

Answer:

c/9+6=14

9c=14-6

9c=8

c=8:9

c=1.125

Step-by-step explanation:

After solving this c/(-9+6) = 14 equation we get c = -42. To solve the equation c/(-9+6) = 14, we first simplify the expression inside the parentheses. (-9 + 6) equals -3.  

Therefore, the equation becomes c/(-3) = 14. To isolate the variable c, we multiply both sides of the equation by -3. This gives us c = 14 * (-3), which simplifies to c = -42.

Hence, the solution to the equation is c = -42. Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions and be cautious when dealing with negative signs in equations.

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How do you do inverse operation on a fraction ( y/3 ) = -6

Answers

[tex]\frac{-1}{18}[/tex]

Solution:

Given expression is [tex]\frac{y}{3}=-6[/tex]

To find the inverse of y.

⇒ [tex]\frac{y}{3}=-6[/tex]

Do cross multiplication.

⇒ y = –6 × 3

⇒ y = –18

Inverse of y means reverse the function.

We know that inverse of y is [tex]\frac{1}{y}[/tex].

⇒ [tex]\frac{1}{y}= \frac{-1}{18}[/tex]

Hence, inverse of y is [tex]\frac{-1}{18}.[/tex]

Help please time limit...Amanda is choosing between two exercise routines.
In Routine #1, she does only running, 15.5 burning calories per minute.
In Routine #2, she burns 22 calories walking. She then runs at a rate that burns 12.75 calories per minute.
For what amounts of time spent running will Routine #1 burn more calories than Routine #2?
Use t for the number of minutes spent running, and solve your inequality for ..

Answers

Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.

Step-by-step explanation:

Routine # 1;

Calories burned in running = 15.5 per minute

Let,

t be the minutes spent running.

T = total calories burned

T = 15.5t

Routine # 2;

Calories burned while walking = 22 calories

Calories burned while running = 12.75 per minute

T = 12.75t + 22

For burning more calories in Routine 1;

Routine 1 > Routine 2

[tex]15.5t>12.75t+22\\15.5t-12.75t>22\\2.75t>22\\[/tex]

Dividing both sides by 2.75

[tex]\frac{2.75t}{2.75}>\frac{22}{2.75}\\t>8[/tex]

Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.

Keywords: linear inequality, division

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I need help with this question

Answers

The answer is
Yoo
Hahahahaha

how do you represent x<-9/4 on a number line

Answers

Explanation:

Find -9/4 = -2 1/4 on the number line. Put an open circle at that point.

Shade the number line to the left of there, representing all values less than -9/4. The dot at -9/4 is open because it is not included in the graph.

Find y if y = -7x -6 and x=5

Answers

Answer: -41

Step-by-step explanation:

-7 × 5 = -35

-35 - 6 = -41

Answer:

-41

Step-by-step explanation:

if a=(-2 -4) and b=(-8 4) what is the length of AB

Answers

Use the distance formula Sqrt ( (x2-x1)^2 +(y2-y1)^2)

Distance = sqrt ( (-8 - -2)^2 +(4- -4)^2)

Distance = sqrt(-6^2 + 8^2)

Distance = sqrt ( 36 + 64)

Distance = sqrt(100)

Distance = 10

The length is 10

Answer: 10 units

Step-by-step explanation: took test hope this helps

(2,7); m = -4
What is the equation in point-slope form

Answers

Answer:

where m is the slope and b is your y intercept

your equation is y = 2/7(x) - 12

Step-by-step explanation:

Evaluate: x/y for x= 3/10 and y= 4/5

A. 7/50
B. 7/15
C. 3/8
D. 12/50

Answers

C. 3/8 i think.......

Answer: 7/15

Step-by-step explanation:

A text message plan coasts $7 per month pluse $0.46 per text. Find the monthly cost for x text messages.

Answers

p = 7 + 0.46x is the monthly cost for x text messages

Solution:

Given that, A text message plan costs $7 per month plus $0.46 per text

To find: Monthly cost for "x" text messages'

Let "x" be the number of text messages in a month

From given information,

text message plan cost per month = $ 7

Cost for 1 text = $ 0.46

Let "p" be the Monthly cost for "x" text messages

Then, we get,

p = text message plan cost per month + (Cost for 1 text)(number of text messages in a month)

[tex]p = 7 + 0.46x[/tex]

Thus the monthly cost for x text messages is found

A pickup truck carrying 1000 identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what is the weight of each brick?

Answers

Answer:

0.515

Step-by-step explanation:

10 to the 3rd power is 10^3 = 1000 bricks.

The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755-6240 = 515 pounds of bricks

Pounds per brick:

515 / 1000 = .515 pounds per brick.

Compute the perimeter of the figure given below. All angles are right angles.

Answers

Answer:

44

Step-by-step explanation:

10 + 12 + 4 + 4 + 6 + 8 = 44

The perimeter of the figure is 26 inches.

The perimeter of the figure is the total length of all the sides. To calculate the perimeter, we simply add up the lengths of all the sides:

Perimeter = 6in + 4in + 4in + 12in

Perimeter = 26in

Therefore, the perimeter of the figure is 26 inches.

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19. A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

a. Write and solve an absolute value inequality to represent this situation
b. A life guard measures the chlorine level in the pool and finds it is 1.0ppm. Should he add more chlorine? Explain.

Answers

Final answer:

To ensure safe chlorine levels in the pool, the inequality |Cl - 3.25| ≤ 1.75 must be met, representing levels between 1.50 ppm and 5.00 ppm. The lifeguard found the level at 1.0 ppm, which is below the safe range, so more chlorine needs to be added.

Explanation:

Absolute Value Inequality for Chlorine Levels:

The county government specifies that a safe level of chlorine is within 1.75 ppm of 3.25 ppm. We can express this using an absolute value inequality to represent the acceptable range for the chlorine levels: |Cl - 3.25| ≤ 1.75. This represents that the chlorine level (Cl) can be at most 1.75 ppm above or below 3.25 ppm.

To solve this inequality, we consider both the upper and lower bounds:

Cl - 3.25 ≤ 1.75, which simplifies to Cl ≤ 5.00 ppm (upper bound)Cl - 3.25 ≥ -1.75, which simplifies to Cl ≥ 1.50 ppm (lower bound)

Therefore, the chlorine level must be between 1.50 ppm and 5.00 ppm.

Analysis of the Chlorine Level Measurement:

As the lifeguard measures the chlorine level in the pool at 1.0 ppm, it falls below the acceptable range established by the inequality. Consequently, the lifeguard should add more chlorine to bring the concentration up to within the safe range, specifically, at least to the minimum safe level of 1.50 ppm.

A square table has an area of "2116" square inches. A tablecloth hang 3 inches over each end of the table, What is the area of the part of the tablecloth that hangs over the table?

Answers

The area of the part of the tablecloth that hangs over the table is 285 square inches

Step-by-step explanation:

In order to find the area of table cloth that hangs over the table, we have to find the area of table and the total area of table cloth.

Given

Area of table = [tex]A_t = 2116\ in^2[/tex]

To find the side of the square

[tex]A_t = s^2\\s^2 = 2116[/tex]

Taking Square root on both sides

[tex]\sqrt{s^2} = \sqrt{2116}\\s = 46\ inches[/tex]

When the table cloth is hanged, 3 inches are left to hang over this means that the side will now be: 46+3 = 49 inches

The area of table cloth = [tex]A_c = 49*49 = 2401\ in^2[/tex]

The area of table cloth that will be hung over the table is:

[tex]A_c-A_t\\= 2401-2116\\= 285\ in^2[/tex]

Hence,

The area of the part of the tablecloth that hangs over the table is 285 square inches

Keywords: Square, side

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The ratio of the number of flowers in basket A to the number of fliers in basket B is 5:2. If there are 40 flowers in basket B

Answers

Answer:

there would be 100 flowers in basket a

Step-by-step explanation:

for the second part of the ratio to be 40 you have to multiply the 2 by 20. to find out how many would be in basket a you do the same thing to the other side of the ratio and multiply 5 by 20 which gives you 100


Meredith lives 24 blocks from her friends house if she travels on block every minute how many minutes will it take her to reach her friends house show how you calculate each answer

Answers

Meredinth takes 24 minutes to reach her friend house

Solution:

Given that, Meredith lives 24 blocks from her friends house

She travels one block every minute

To find: time taken by Meredith to reach friend house

From given,

Number of blocks between Meredith house and her friedn house = 24

She travels one block every minute

Thus she takes 1 minute for 1 block

One block = 1 minute

So, for 24 blocks, we have to multiply by 24

[tex]24\ block = 1 \times 24\ minute\\\\24\ block = 24\ minute[/tex]

Thus Meredinth takes 24 minutes to reach her friend house

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.

y

=



2

x

2

+

113

x



497

y=−2x

2

+113x−497

Answers

The company should sell each widget for $28.25, to the nearest cent.

To maximize profit, we need to find the vertex of the parabola represented by the profit equation y = -2x^2 + 113x - 497. Since the coefficient of x^2 is negative, the parabola opens downwards, and the vertex represents the maximum point. The x-coordinate of the vertex of a parabola in the form of y = ax^2 + bx + c can be found using the formula -b/2a.

For the equation y = -2x^2 + 113x - 497, a = -2 and b = 113. Plugging these values into the formula gives us: x = -113 / (2 × -2) = -113 / -4 = 28.25. Therefore, to maximize profit, the company should sell each widget for $28.25, to the nearest cent.

which of the statements is true for the two equations below?
Equation A: 6+3x=3x-3
Equation B: 2(4x-1)=8x-2
A.Equation A has no solution and Equation B has an infinite number of solutions.
B.Equation A has an infinite number of solutions and Equation B has no solution.
C.Equation A and Equation B have an infinite number of solutions.
D. Equation A and Equation B have no solution.

Answers

Equation A:

6 + 3x = 3x - 3    

This equation has no solution, no matter what number you plug into the equation, it will never = each other

[if you tried simplifying more]

9 + 3x = 3x         (added 3 on both sides, then subtracted 3x on both sides)

9 = 0

Equation B:

2(4x - 1) = 8x - 2      Distribute/multiply 2 into (4x - 1)

(2)4x - (2)1 = 8x - 2

8x - 2 = 8x - 2      

This will have an infinite number of solutions because whatever number you plugged in, they would always = each other since they are the same on both sides of the equation

[simplified]

8x = 8x       (add 2 on both sides, then divide 8 on both sides)

x = x

Your answer is A

Final answer:

Equation A has no solution and Equation B has an infinite number of solutions.

Explanation:

The correct answer is D. Equation A and Equation B have no solution. Let's analyze each equation:

For Equation A, we can combine like terms and simplify it to:
6 + 3x = 3x - 3
6 = -3

Since 6 is not equal to -3, Equation A has no solution.

For Equation B, we distribute 2 to the terms inside the parentheses:
2(4x - 1) = 8x - 2
8x - 2 = 8x - 2

Both sides of the equation have the same expression, so Equation B is an identity. It means that for any value of x, both sides will always be equal. Therefore, Equation B has an infinite number of solutions.

Hence, the correct answer is D. Equation A and Equation B have no solution.

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What is the scale factor?

Answers

Answer:

the scale factor is by what multiplier has a shape been increased by in size

Given: WZ is perpendicular to VY, WZ bisects VY, VZ = 2x+2, and ZY = 3x-4

What is VY?

18
28
14
6

Answers

Answer:

  28

Step-by-step explanation:

  VZ = ZY

  2x +2 = 3x -4

  6 = x . . . . . . . . add 4-2x to both sides

  VZ = 2x +2 = 2(6) +2 = 14

Now we can find VY.

  VY = VZ + ZY = 14 + 14 . . . . . . VY is the total of the two halves

VY = 28

a principal that will amout to 150000 for 8 years at 9/1/2 %​

Answers

The principal amount is 85227.27 and the interest is 64772.73.

Solution:

Given:

Amount (A)= 150000

Number of years (n)= 8

Rate of interest (r)= [tex]9\frac{1}{2}\%=\frac{19}{2}\%[/tex]

To find: The principal (P)

We know that the principal is the sum of amount and interest. That is, [tex]\bold{P+I=A}[/tex]

This can be written as [tex]\bold{I=A-P \rightarrow(1)}[/tex]

The formula of simple interest is [tex]\bold{I=\frac{Pnr}{100} \rightarrow(2)}[/tex]

On equating (1) and (2) we get,

[tex]\Rightarrow\bold{A-P=\frac{Pnr}{100}}[/tex]

On substituting the values we get,

[tex]\Rightarrow\bold{150000-P=\frac{P\times8\times19}{100\times2}}[/tex]

On solving we get,

[tex]\bold{\Rightarrow 150000-P=0.76P}[/tex]

On grouping the like terms together we get,

[tex]\bold{\Rightarrow 150000=0.76P+P}[/tex]

[tex]\bold{\Rightarrow 150000=1.76P}[/tex]

[tex]\bold{\Rightarrow P=\frac{150000}{1.76}}[/tex]

[tex]\bold{\Rightarrow P=85227.2727\approx85227.27}[/tex]

If principal is 85227.27, then the interest will be [tex]\bold{I=150000-85227.27\rightarrow64772.73}[/tex]

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