Find the output, b, when the input, a, is 6.

B = -1 - 7a

B=

Answer:

[tex]\large\boxed{f(x)=x^2+16x+60}[/tex]

Step-by-step explanation:

The factored form of a quadratic function:

[tex]f(x)=ax^2+bx+c=a(x-x_1)(x-x_2)[/tex]

x₁, x₂ - the zeros

We have x₁ = -10 and x₂ = -6.

Substitute:

[tex]f(x)=(x-(-10))(x-(-6))=(x+10)(x+6)[/tex]

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex]f(x)=(x)(x)+(x)(6)+(10)(x)+(10)(6)\\\\f(x)=x^2+6x+10x+60\\\\f(x)=x^2+16x+60[/tex]

Answer:

Its A on edge

Step-by-step explanation:

The width of the rectangle is 4 cm, found by dividing the area of the square (36 cm^2) by the length of the rectangle (9 cm).

To solve the problem we need to first understand two main concepts; the area of a square and the area of a rectangle. The area of a square can be found by squaring the length of one of its sides, which can be described with the formula A = a^2 where a is the side length of the square. Since the perimeter of the square is 24 cm, each side is 24 cm / 4 = 6 cm. Therefore, the area of the square is 6 cm * 6 cm = 36 cm^2.

The area of a rectangle is calculated by the formula A = length * width. We are given that the length is 9 cm and that the area of the rectangle is equal to that of the square, which we found to be 36 cm^2. To find the width, we divide the area by the length: 36 cm^2 / 9 cm = 4 cm. Thus, the width of the rectangle is 4 cm.

It’s your pay after taxes and other expenses.

Answer:Net pay is the amount of pay remaining for issuance to an employee after deductions have been taken from the individual's gross pay. This is the amount paid to each employee on payday.

Step-by-step explanation:

hope it helps!

Answer:

The dog will catch the cat at  33.33 sec

Step-by-step explanation:

Let

x------> distance the cat runs before being caught by the dog,

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

so

equate the time

x/24=(200+x)/30

30x=24(200+x)

30x=4,800+24x

30x-24x=4,800

x=4,800/6=800 m

t=d/v=800/24=33.33 sec

or

t=(800+200)/30=1,000/30=33.33 sec

Answer:

3.(703)

Step-by-step explanation:

Answer:

$1,497.05

Step-by-step explanation:

Brett had 2 hrs OT his first week which would be (40 hr × 18.95 )+ (18.95 ×3) add the total to (36×18.95).

Part a: decaying;

Part b: decays 11% each year( 100-89=11);

Part c:the initial value of the scooter ( money spent to buy the scooter)

The value of Mikayla's scooter, modeled by the exponential decay function f(x)=13500x0.89^x, is decaying at a rate of 11% per year. The initial cost of the scooter was $13,500.

The function f(x)=13500×0.89^x is an example of an exponential decay function because the base (0.89) is less than 1. So, the value of Mikayla's scooter is decaying.

Part a: The value of the scooter is decaying because the base of the exponential function is less than 1.

Part b: The rate of decay is 11% per year. This comes from the fact that 1 - 0.89 = 0.11 or 11%, signifying the percentage decrease each year.

Part c: 13500 represents the initial value of the scooter. This is how much the scooter was worth when it was first purchased by Mikayla.

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The equation would be h = 25 + m

^^^The reason this is the equation is because the amount of time it takes to do the homework is the 25 min of reading AND the m of completing math problems

Insert 20 in for m and solve for h

h = 20 + 25

h = 45

Insert 25 in for m and solve for h

h = 25 + 25

h = 50

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

24

Step-by-step explanation:

132 pupils are represented by 11 parts of the ratio

Dividing 132 by 11 gives the value of one part of the ratio

132 ÷ 11 = 12 ← value of 1 part of the ratio, hence

2 parts = 2 × 12 = 24 ← number of teachers on trip

Answer:

24

Step-by-step:

132/11 (132 divide by 11)

=12

12*2 (12multiply by 2)

=24

Answer:

8:16 p.m.

Step-by-step explanation:

You have to find LCM(a,b), where a=48 seconds and b=95 seconds (2 minutes 15 seconds).

1.

[tex]48=2\cdot 24=2\cdot 2\cdot 12=2\cdot 2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 2\cdot 3=2^4\cdot 3.[/tex]

2.

[tex]95=5\cdot 19.[/tex]

3.

[tex]LCM(48,95)=2^4\cdot 3\cdot 5\cdot 19=4560\text{ seconds }=76\text{ minutes }=1\text{ hour }16 \text{ minutes. }[/tex]

If they rang together at 7 p.m, then the next time that the timers will ring together will be after 1 hour 16 minutes that is 8:16 p.m.

Answer:

8:16 p.m.

Step-by-step explanation:

You have to find LCM(a,b), where a=48 seconds and b=95 seconds (2 minutes 15 seconds).

1.

2.

3.

If they rang together at 7 p.m, then the next time that the timers will ring together will be after 1 hour 16 minutes that is 8:16 p.m.

Answer:

A and C

Step-by-step explanation:

This question is on probability.

In the first option A, when a coin is tossed, two outcomes are obtained, a head or a tail. Angel to mop can be represented by heads and Isaiah to mow can be represented by tail.In this case, a 50% chance is observed.

In the third option, putting each person's name on a separate piece of paper in a bag has two outcomes to be obtained. The probability of picking a person name is 50%. You can pick a paper with Angel's name or Isaiah's name.The picked name will mow the lawn.

In the second option B, when a coin is flipped twice, we obtain 4 outcomes; HH,HT,TH,TT. If either toss is tail, TT, then Angel mows the lawn.However, there are 3 other outcomes that could occur which will make Isaiah to mow the lawn.In this case it will be unfair because the probability for Angle to mow, P(A)=1/4 where as that for Isaiah to mow P(I)=3/4

In the last option D, the probability of rolling a cube with a number 1 or 6 is 1/6. This is the same for geting a 2,3,4,or 5.Angel will mow if the number is 1 or 6 where as  Isaiah will mow if the number is 2,3,4 or 5. This is unfair to Isaiah because geting any number holds a probability of 1/6, while Angels waits for 2 numbers, he waits for 4 numbers.

Answer: Option 1 and 3

Step-by-step explanation:

A fair decision is when both of them have the same probability of winning and losing, in this case, because we have two possible results, we need to find an experiment with a 50/50 chance.

The coin in option 1 is a good option, 50% of the time it will end in tails and 50% of the time it will come up with heads, so this will be a fair decision.

option 3 also works, because we have two pieces of paper, if you draw one, the probability of drawing a specific one is 1/2 (the specific result divide by the total number of possible results) and this is equivalent to 0.5 or 50%.

The other two options have probabilities that are not equal, for example in the fourth option, Angel mows the lawn when the number is 1 or 6, we have 2 out of 6 results where he mows the lawn, this is p = 2/6 = 1/3

then the probability of Isaiah of mowing the lawn is p = 4/6 = 2/3, wich is bigger.

Answer:

$381.25

Step-by-step explanation:

15.25*25=381.25

$381.25

you have to multiply $15.25 by 25

Alternate interior angles I believe

The answer is:

To graph a piecewise function, we need to graph each of the function that compounds the principal function (piecewise function) for the given values of the domain.

So,

For the first function, we have:

[tex]f(x)=y=3x-5\\\\y=3x-5[/tex]

We have that it's a positive slope line with y-intercept at -5, so, calculating the x-intercept we have by making y equal to 0, we have:

[tex]y=3x-5[/tex]

[tex]0=3x-5[/tex]

[tex]x=\frac{5}{3}=1.67[/tex]

Also, we have the domain for the function:

[tex]y=3x-5\leq -1[/tex]

Which domain is coming from the negative infinite to -1:

Domain: (-∞, -1]

Hence, we have that the function has a positive slope, intercepts the y-axis at (0,-5) and the x-axis at (1.67,0), also, it exists from -∞ to -1.

- For the second function, we have:

[tex]f(x)=y=-2x+3\\\\y=-2x+3[/tex]

We have that it's a negative slope line with y-intercept at 3, so, calculating the x-intercept we have by making y equal to 0, we have:

[tex]y=-2x+3[/tex]

[tex]0=-2x+3[/tex]

[tex]x=\frac{3}{2}[/tex]

Also, we have the domain for the function:

[tex]-2x+3, -1<x<4[/tex]

Which domain is coming from the negative infinite to -1:

Domain: (-1,4)

Hence, we have that the function has a negative slope, intercepts the y-axis at (0,3) and the x-axis at (1.5,0), also, it exists from (-1 to 4)

- For the third function, we have:

[tex]y=2[/tex]

We have that it's a horizontal line, existing from 4.

The domain for the function will be:

[tex]2,x\geq 4[/tex]

or:

Domain: [4,∞)

- Graphing:

First function: Green line

Second function:  Black line

Third function: Red line

Note: I have attached two pictures for better understanding, in the first picture we can see the functions that compound the piecewise function without the domain conditions, in the second picture we can see the functions with the domain conditions given by the piecewise function.

Have a nice day!

344676 I hope that helps

Answer:

Franchise has 11 quarters and 16 dimes.

Step-by-step explanation:

Let d represent number of dimes and q represent number of quarters.

We have been given that the number of dimes is five more than the number of quarters. We can represent this information in an equation as:

[tex]d=q+5...(1)[/tex]

We are also told that Francine has $4.35 in dimes and quarters. We can represent this information in an equation as:

[tex]0.10d+0.25q=4.35...(2)[/tex]

Now, we will substitution method to solve linear equations. Upon substituting equation (1) in equation (2), we will get:

[tex]0.10(q+5)+0.25q=4.35[/tex]

[tex]0.10q+0.50+0.25q=4.35[/tex]

[tex]0.35q+0.50=4.35[/tex]

[tex]0.35q+0.50-0.50=4.35-0.50[/tex]

[tex]0.35q=3.85[/tex]

[tex]\frac{0.35q}{0.35}=\frac{3.85}{0.35}[/tex]

[tex]q=11[/tex]

Therefore, Franchise has 11 quarters.

Upon substituting [tex]q=11[/tex] in equation (1), we will get:

[tex]d=11+5[/tex]

[tex]d=16[/tex]

Therefore, Franchise has 16 dimes.

Answer:

Cross Multiply.

Step-by-step explanation:

Multiply the denominator (3) of one side and the numerator (n).

Then, multiply the numerator (2) of on side and the denominator (4) of the other.

3n = 8

You divide both sides by 3 to have n be by itself, equaling ~2.6 or 8/3.

Answer:

Emily has a 1 in 9 chance of rolling an odd number for all 3 rolls

Step-by-step explanation:

If there are three odd numbers, you’d simply multiply one sixth three times. One sixth because the dice has six sides and three times because there are three possibilities of getting an odd number

Answer:

12 feet

Step-by-step explanation:

The length of the ladder is 13 ft

The base of the ladder is 5 ft away from the wall

The height(h) the ladder reaches from the bottom of the wall is:

Applying the Pythagorean theorem;

h = [tex]\sqrt{13^2 - 5^2}[/tex] = 12 ft

a) 240 cows

b)80 cows

c) 8 days

Answer:

1) 240 cows.

2) 80 cows.

3) 8 days.

Step-by-step explanation:

1) To find the number of cows that could be fed for 4 days, you need to substitute [tex]x=4[/tex] into the equation, then:

[tex]y=\frac{960}{x}\\\\y=\frac{960}{4}\\\\y=240[/tex]

2) To find the number of cows that could be fed for 12 days, you need to substitute [tex]x=12[/tex] into the equation, then:

[tex]y=\frac{960}{x}\\\\y=\frac{960}{12}\\\\y=80[/tex]

3) Farmer Bill has two feed his 85 cows and 35 cows of his neighbors, then the total number of cows he needs to feed is:

 [tex]y=85+35\\y=120[/tex]

Substitute this value into the equation and solve for "x" to find the number of days he could feed them:

[tex]120=\frac{960}{x}\\\\120x=960\\\\x=\frac{960}{120}\\\\x=8[/tex]

4/10 or 2/5

Hope this helps!

Great Question!

First, 0.4 Is The Same Thing As 0.4/1

Next, Do 0.4/1 Multiplied By 10 And That Equals 4/10.

Finally, Simplify 2/5

In Conclusion, 0.4 Converted To A Fraction Is 2/5

Answer:

-13

Step-by-step explanation:

a^2 + 3ab - b^2?

Plug in a=3 and b= -2

a^2 + 3ab - b^2

=  (3)^2 + 3(3)(-2) - (-2)^2

= 9 - 18 - 4

= -13

Value of expression [tex]a^{2} +3ab-b^{2}[/tex] is -13.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

Given

[tex]a =3 \ and \ b= -2[/tex]

Value of expression [tex]a^{2} +3ab-b^{2}[/tex]

= [tex]3^{2} +3 \times 3 \times (-2 )- (-2)^{2}[/tex]

= [tex]9-18-4[/tex]

= [tex]-13[/tex]

Value of expression [tex]a^{2} +3ab-b^{2}[/tex] is -13.

Find out more information about expression here

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:) Hope this helps you to your question

Answer: 6

Remember: 0.3 repeated = [tex]\frac{1}{3}[/tex]

[tex]3 \frac{2}{3} + 2 \frac{1}{3} = 5\frac{3}{3}\\\\5\frac{3}{3} = 6[/tex]

Answer:

6

Step-by-step explanation:

2.333... = 7/3

3 and 2/3 = 11/3

7/3 + 11/3 = 18/3 = 6

The answer for this math equation is x = 40 or just 40

Step-by-step explanation: You just need to solve this problem in the normal algebraic equation format, applying the rules too.

2x + 20 = 100

2x + 20 - 20 = 100 - 20

2x = 80

2x/2 = 80/2

x = 40

Step 1: Bring 20 to the right side of the equation by subtracting 20 to both sides (subtraction is the opposite of addition and will cancel 20 from the left side and bring it over to the right)

2x + (20 - 20) = 100 - 20

2x + 0 = 80

2x = 80

Step 2: To isolate x divide 2 to both sides (division is the opposite of multiplication and will cancel 2 from the left side and bring it over to the right)

2x ÷ 2 = 80 ÷ 2

x = 40

Check (plug in 40 for x and solve it like normal):

2(40) + 20 = 100

80 + 20 = 100

100 = 100 --------------------------------------> Correct!

Hope this helped!

~Just a girl in love with Shawn Mendes

[tex]340 \times \frac{14}{100} = 47.6[/tex]

To find the amount budgeted for tithe on a weekly salary of $340 with a 14% allowance for tithe, multiply the salary by the percentage. The amount budgeted for tithe is $47.60.

To find the amount budgeted for tithe on a weekly salary of $340 with a 14% allowance for tithe, multiply the salary by the percentage. First, convert 14% to decimal form by dividing it by 100: 14% / 100 = 0.14. Then, calculate the amount by multiplying $340 by 0.14: $340 * 0.14 = $47.60.

nearest cent so so 32.86 but since its money and 32.86 times 7 is 230.02 it should be rounded down so the answer will be 32.85

Answer:

height is 5 units

Step-by-step explanation:

We are required to determine the height of a triangle that has an area of 30 square units and a base measuring 12 units.

The formula for the area of a triangle is given as;

[tex]Area=\frac{1}{2}*base*height[/tex]

We plug in the given values and solve for the height;

[tex]30=\frac{1}{2}*12*height\\\\30=6*height\\height=5[/tex]

Answer:

5 units^2

Step-by-step explanation:

Answer:

Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.

Answer:

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6

Answer:

The corresponding sides are in proportion. so they are similar triangles.

The similarity statement is: Triangle ALB ~ Triangle EBR

Similarity statement:

Triangle ALB ~ Triangle EBR

Justification:

Two triangles are similar if they have the same shape, but different sizes. This means that the corresponding angles of the two triangles are equal, and the corresponding sides are proportional.

In the given image, we can see that the two triangles have the same shape. The corresponding angles are also equal:

Angle ALB = Angle EBR

Angle LAB = Angle EBE

Angle BAL = Angle BRE

To show that the corresponding sides are proportional, we can calculate the ratios of the corresponding sides:

AL/EB = 13/5 = 2.6

AB/ER = 15/36 = 5/12 = 0.417

BL/BR = 12/39 = 4/13 = 0.308

We can see that the ratios of the corresponding sides are all equal to 2.6. This means that the corresponding sides are proportional, and therefore the two triangles are similar.

Therefore, the similarity statement is: Triangle ALB ~ Triangle EBR

For such more question on Triangle

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Answer: Apple Juice

Step-by-step explanation: Right of the bat we know 40 out of 80 is 50%. This is already less then the 68% we are given, so therefore it can't be mango jelly. 0.475 would be made into a percent of 47.5%. We know that the fraction would be 475 over 1000, so we need to move the decimal point once to the left for each number, giving us the percent above. 68% is greater than 47.5, making Apple juice the winned

Apple juice good luck

Answer:

A = True

B = False

C = true

Step-by-step explanation: