Given f(x)= 10-2x, fins f(7)

29.99 + 1.60 = 31.59

31.59 - 10 = 21.59

25 - 21.59 = 3.41

Tonya’s change she will receive will be $3.41

I hope this helps.

Tonya should receive $3.41 in change from the cashier after using a $10 coupon and paying $25.

Tonya's change:

Sorry, but is there a picture or anything to see the parking lot? Also what do you need?

Answer:

Step-by-step explanation:

which graph?

-8=-2^3 so the answer is -2.

-8 to the 1/3 power is -2

Answer:

8y(z - 2x)

Step-by-step explanation:

The two given terms have the following factors in common:  8 and y.

Thus, the product in question is 8y(z - 2x).

Real Answer:

8y(z - 2x)

Thank you  altavistard they helped me!

Answer:

The answer is (-7/2,0).

Answer:  [tex]\bold{x=\{0,-\dfrac{7}{2}\}}[/tex]

Step-by-step explanation:

[tex](x+2)(2x+3)=6\\\\\text{Expand:}\\2x^2+3x+4x+6=6\\\\\text{Simplify (add like terms):}\\2x^2+7x+6=0\\\\\text{Subtract 6 from both sides:}\\2x^2+7x=0\\\\\text{Factor out the common term:}\\x(2x+7)=0\\\\\text{Apply the Zero Product Property:}\\\boxed{x=0}\qquad 2x+7=0\\\\.\qquad \qquad 2x=-7\\\\.\qquad \qquad \boxed{x=-\dfrac{7}{2}}[/tex]

Answer:

9 bags

Step-by-step explanation:

22 - 13 = 9

Since there is two carts and we know that in one of them (bigger one) is 13 bags and that we know there is in sum of two 22 bags, we will need to subract sum of bags from two carts by bags from bigger cart to get amount of bags in small cart (in which one we finding that there will be 9 bags).

The smaller cart contains 9 bags.

It is given that two carts have 22 bags of groceries between them.

Also given that the larger one has 13 bags in it .

Therefore to find the bags in the smaller cart is =

(22 - 13) = 9 bags.

Therefore the smaller cart contains 9 bags.

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Answer:

x > -1

Step-by-step explanation:

Simplify x – 3 > -4 by adding 3 to both sides:

x > -1

This matches the 2nd answer choice.

The solution of the given expression x - 3 > -4 will be x > -1 thus, option (A) is correct.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

x - 3 > -4

Add 3 on both sides of the above inequality,

x - 3 + 3 > -4 + 3

x > -1

Hence "The solution of the given expression x - 3 > -4 will be x > -1".

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Answer:

Segment CR.

Step-by-step explanation:

We have been given an image of a triangle. We are asked to find the segment that is altitude to segment AB.

We know that the altitude of triangle is the perpendicular drawn from a vertex of triangle to opposite side.

We can see that vertex opposite to segment AB is [tex]\angle ACB[/tex]. We can see that there are two lines drawn from vertex C that are segment CR and CN.

We have been given that points L, M and N are midpoints for our given triangle. We know that segment that is midpoint of triangle is known as median of triangle, therefore, CN is not a correct choice.

We can see that segment CR is perpendicular to segment AB, therefore, option B is the correct choice.

Answer: CR

hope this helps have a nice day

Answer:

option A

output  = constant / input

Step-by-step explanation:

Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.

Equation to describe relationship of inverse variation between input and output will be as following

 to remove this sign of proportionality

 where k is a constant

Answer:

EDGE 2020:

Step-by-step explanation:

It's A: (0,80) and D: (15,10)

The next part is B: -14,3

trust me

The points you need to calculate are the average rate of change from the beginning of the slide (0, 80) and (15, 10).Options A and D are correct.

The length of the line segment connecting two places is the distance between them. The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)=(0, 80)

(x₂, y₂)=(15, 10)

The distance between the two points on the x-axis is found as;

d = 15 -0 feet

d = 15 feet

The points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet will be (0, 80) and (15, 10)

Hence, options A and D are correct.

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Answer:

Part A: Up 9

Part B: Up 6

Step-by-step explanation:

Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.

Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:

A vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.

answer is b because you can see that it breaks the cycle

The answer is circle, because the shape is a cylinder. Cylinders have a circle on the bottom.

Answer:

The axis of symmetry is [tex]x=1[/tex]

Step-by-step explanation:

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

In this problem we have a vertical parabola open upward

The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola

so

[tex]x=\frac{5-3}{2}=1[/tex]

therefore

The axis of symmetry is [tex]x=1[/tex]

Answer: (-6, 4)

Step-by-step explanation:

You can use the Elimination method:

- Multiply the the first equation by -3 and the second one by 5.

- Add both equations.

- Solve for y:

[tex]\left \{ {{(-3)(5x+4y=-14(-3)} \atop {5(3x+6y)=6(5)}} \right.\\\\\left \{ {{-15x-12y=42} \atop {15x+30y=30}} \right.\\-------\\18y=72\\y=4[/tex]

- Susbtittute y=4 into any of the original equations and solve for x:

[tex]3x+6(4)=6\\3x=6-24\\3x=-18\\x=-6[/tex]

Then the ordered pair is:

(-6, 4)

Answer:

(-6, 4)

Step-by-step explanation:

We are given the following two equations and we are to solve them:

[tex]5x+4y=-14[/tex] --- (1)

[tex]3x+6y=6[/tex] --- (2)

Using the substitution method:

From equation (2):

[tex] 3 x = 6 - 6 y \\\\ x = \frac { 6 - 6 y } { 3 } \\ \\ x = 2 - 2 y [/tex]

Substituting this value of x in equation (1) to get:

[tex] 5 ( 2 - 2 y ) + 4 y = -14 \\\\ 10 - 10 y + 4 y = -14 \\\\ 1 0 + 14 = 6 y \\\\ y = \frac { 24 } { 6 } \\ \\ y = 4 [/tex]

Putting this value of y in equation (2) to find the value of x:

[tex] 3 x + 6 ( 4 ) = 6 \\\\ 3x + 24 = 6 \\\\ 3x = 6 - 24 \\\\ x = \frac { -18 } { 3 } \\\\ x = -6 [/tex]

Therefore, (-6, 4) is the solution to the given system of equations.

Answer:

1,887

Step-by-step explanation:

i added all the calories i believe it is the answer unless there are more steps

Answer:

900

Step-by-step explanation:

If 40% per month = 300. Multiply 300 by 3.

Answer:

823 pounds of trash. ( approx )

Step-by-step explanation:

Since, the exponential growth function is,

[tex]A=P(1+r)^t[/tex]

Where,

P = initial value,

r = growth rate per period,

t = number of periods,

Here, P = 300 pounds, r = 40% = 0.4, t = 3 months,

Thus, the quantity of trash after 3 months,

[tex]A=300(1+0.4)^3=300(1.4)^3 = 823.2\approx 823\text{ pounds}[/tex]

Answer:

Option B. The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=-2x-5[/tex] ----> equation A

[tex]-2x+4y=12[/tex] -----> equation B

we know that

To graph the lines, find the intercepts

Remember that

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Equation A

[tex]y=-2x-5[/tex]

For [tex]x=0, y=-5[/tex] ----> y-intercept

For [tex]y=0, x=-2.5[/tex] ----> x-intercept

Equation B

[tex]-2x+4y=12[/tex]

For [tex]x=0, y=3[/tex] ----> y-intercept

For [tex]y=0, x=-6[/tex] ----> x-intercept

Plot the intercepts to graphs the lines

see the attached figure

Answer:

YESSSSSS

Step-by-step explanation:

i myself skipped pre-algebra and let me tell you it was the best decision ever. pre-algebra is by far the easiest and probably the most useless math course followed by geometry/trigonometry.

Yes

I would because it is a great opportunity to be ahead for when you get in 9th grade

Answer:

15x

Step-by-step explanation:

9x+5x-1÷(x+1)

9x+5x-1÷1x

15x

Answer:

x=  nπ/3

Step-by-step explanation:

We are given that: [tex]\sqrt{3}*tan(3x) = 0[/tex]

Divide both sides by [tex]\sqrt{3}[/tex]

=> [tex]\frac{\sqrt{3}*tan(3x)}{\sqrt{3}} = \frac{0}{\sqrt{3}}[/tex]

=> tan(3x) = 0

we know that arctan(0) = nπ

Therefore,

3x = nπ

or

x=  nπ/3 (where n belongs to positive and negative integers)

Answer:

amplitude:  3; midline is y = 2

Step-by-step explanation:

Note that the range of this function is [-1, 5], values that are 6 units apart.  The amplitude is half that, or 3 units.

The midline is the horiz. line halfway between -1 and +5.:  y = 3.

These values correspond to the last (fourth) answer choice.

The amplitude and midline of a periodic function can be determined from the function's equation. The amplitude is the absolute value of the coefficient attached to the sine or cosine, and the midline (or vertical shift) is the constant added or subtracted in the function.

From the equation of a periodic function, we can determine the amplitude and midline. The amplitude is the absolute value of the coefficient of the function while the midline (or the vertical shift) can be found as the constant added or subtracted in the equation.

Let's consider your periodic function as y = A sin(kx) + D. Here, |A| is the amplitude and D is the midline of the function. However, the function itself is not provided in your question.

For instance, in the function y=0.2 m sin(6.28 m¯¹x − 1.57 s¯¹t), the amplitude, wave number, and angular frequency can be read directly. The amplitude here is 0.2 m (the multiplier of the sine term). It and doesn't seem to be any shifts up or down, so the midline is y = 0 (the x-axis).

So, you can find the amplitude and midline of a periodic function from the equation itself, however, you need the specific equation of your function to do that.

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Answer:

2.2

Step-by-step explanation

(guess and check)

2.2 x 4 = 8.8

2.2 x 8.8 x 8 = 160

The width of the prism is approximately 2.2 feet.

Let's assume that the width of the prism is x feet. Since the length of the prism is four times the width, the length can be represented as 4x feet. Given that the height is 8 feet, we can use the formula for the volume of a rectangular prism: Volume = Length x Width x Height. Plugging in the given values, we get the equation 160 = 4x * x * 8. By solving this equation, we find that the width of the prism is approximately 2.2 feet (when rounded to the nearest tenth).

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Answer:

The graphs of the equations are parallel lines.

Step-by-step explanation:

Parallel lines have no solution, not infinitely many solutions. When graphed, infinitely many solutions will appear as the same line.

Answer:

The graphs of the equations are parallel lines.

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{z=-60}}[/tex]

Step-by-step explanation:

Switch Sides

[tex]\bold{2+\frac{z}{-6}=12}[/tex]

Subtract 2 From Both Sides

[tex]\bold{2+\frac{z}{-6}-2=12-2}[/tex]

Simplify

[tex]\bold{\frac{z}{-6}=10}[/tex]

Multiply Both Sides By -6

[tex]\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}[/tex]

Simplify

[tex]\bold{z=-60}[/tex]

The value of z is -60

see the image

[tex]\[ n = 12 + 24 \][/tex] equation represents the total number of cookies Jesse.

Let's denote the total number of cookies Jesse bakes as [tex]\(n\)[/tex].

From the given information:

The total number of cookies he bakes is the sum of the cookies he leaves at home and the cookies he brings to school. We can represent this situation using an equation:

Total number of cookies baked [tex](\(n\))[/tex] = Cookies left at home + Cookies brought to school

[tex]\[ n = 12 + 24 \][/tex]

This equation represents the total number of cookies Jesse bakes [tex](\(n\))[/tex] as the sum of the cookies left at home (12 cookies) and the cookies brought to school (24 cookies).

Answer:

A) Vol_10_cubes  = 2*(5^4) inch^3

B) Area_10_cubes = (2^2)*3*(5^3)  inch^2

Step-by-step explanation:

A)The volume of a cube, as all sides are equal:

Vol_cube = (side)^3

side = 5 inches

Vol_cube  = 5^3 inch^3

Since we have 10 cubes

10 = 2*5

Vol_10_cubes  = 2*(5^4) inch^3

B) A cube has six faces, each with area equal to its squared side

Area_cube = 6*(side)^2

Area_cube = 6*(5)^2  inch^2

Area_10_cubes = 2*5*6*(5)^2  inch^2

Area_10_cubes = (2^2)*3*(5)^3  inch^2

The total volume of Han's cubes is given by the expression 10 × 5³ cubic inches, and the total surface area can be expressed as 10 × 6 × 5² square inches.

The question asks for the calculation of volume and surface area of cubes with a given side length.

Volume Calculation

To find the volume of a single cube, we use the formula V = s³, where s is the length of a side of the cube. Because each side of the cube is 5 inches, the volume of one cube is V = 5³ inches³, which equals 125 cubic inches. Now, Han has 10 cubes, so the total volume is 10 times the volume of one cube, which can be expressed as:

Total Volume = 10 × 5³ inches³

Surface Area Calculation

The surface area of a single cube is found using the formula SA = 6s², since there are six sides to a cube. With a side length of 5 inches, the surface area of one cube is SA = 6 × 5² square inches, which equals 150 square inches. For 10 cubes, the total surface area is 10 times the surface area of one cube, which can be expressed as:

Total Surface Area = 10 × 6 × 5² square inches

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

The length of the ladder is 39 feet.

Let's denote the length of the ladder as x. According to the problem, the distance from the ground to the top of the ladder is 3 feetless than the length of the ladder. So, the height from the ground to the top of the ladder is x - 3 feet. The distance from the bottom of the ladder to the building is given as 15 feet. We can set up a right triangle where the ladder is the hypotenuse and solve for x using the Pythagorean Theorem:

x^2 = (x - 3)^2 + 15^2

Expanding and simplifying, we get:

x^2 = x^2 - 6x + 9 + 225

Combining like terms, we have:

0 = -6x + 234

Now, let's solve for x:

6x = 234

x = 39

Therefore, the length of the ladder is 39 feet.

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