Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).



x
f(x) = 2.5x − 10.5
g(x) = 64(0.5x)
2


3


4


5


6

Answer: Yes.

Step-by-step explanation:

Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.

In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:

= 180° - (98° + 35°)

= 180° - 133°

= 47°

Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:

= 180° - (35° + 47°)

= 180° - 82°

= 98°

The triangle is congruent as they all have same angles

Answer:

yes because of ASA or AAS

Step-by-step explanation

got it right

Answer:

9.42

Step-by-step explanation:

Answer:

$17.50

Step-by-step explanation:

If the shoes are discounted at 10%, the price would be 90% of the original price

Discounted price = 0.9 x 120 = 108

Tax increases the price of the good. so, the discounted price would increase by 8%

1.08 x 108 =116.64

If Jordan pays 15% as a down payment, he would pay :

0.15 x 116.64 = 17.496

Answer:

1432.57cm²

Step-by-step explanation:

Answer:

Domain: (-7, 4]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:

Interval Notation: (-7, 4]

Inequality Notation: -7 < x ≤ 4

Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12

20 x 12 is 140

Answer: 44.4

Step-by-step explanation:

We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.  

First, let use the ratio for sine [tex]\frac{opp}{hypo\\}[/tex] which equal to [tex]\frac{7}{10}[/tex]

then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. ([tex]sin^{-1}[/tex](7/10) which gives us 44.4

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Arrange equation variable for elimination

[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]

so

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

[tex]-[/tex]

[tex]\underline{y-4x=9}[/tex]

[tex]7x=-14[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]

Solve 7x = -14 for x

[tex]7x=-14[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]

Simplify

[tex]x = -2[/tex]

For y - 4x = 9 plug in x = 2

[tex]y-4\left(-2\right)=9[/tex]

[tex]y+4\cdot \:2=9[/tex]

[tex]y+8=9[/tex]

Subtract 8 from both sides

[tex]y+8-8=9-8[/tex]

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Answer:

3.3507/ 3.35 (round off)

Step-by-step explanation:

Hope it helps :)

Answer:

-4+3x/2

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Step-by-step explanation:

9514 1404 393

Answer:

  3 1/4

Step-by-step explanation:

  [tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]

Answer:

15^3

Step-by-step explanation:

Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:

15^4 / 15 = 15^3

Answer:

7x=7

Step-by-step explanation:

Answer:

[tex](g\circ f)(-1)=36[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]

And we want to find:

[tex](g\circ f)(-1)[/tex]

This is equivalent to:

[tex]=g(f(-1))[/tex]

So, evaluating f(-1) first, we acquire:

[tex]f(-1)=-(-1)+5=6[/tex]

Then by substitution:

[tex]=g(6)[/tex]

So:

[tex]=(6)^2=36[/tex]

Therefore:

[tex](g\circ f)(-1)=36[/tex]

Your answer is indeed correct.

Answer:

please refer to the above attachment.

Answer:

810

Step-by-step explanation:

54x15=810.

hope this helps

Step-by-step explanation:

54 x 15 = 810

all you have to multiply

Answer:

w+7=-2

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (2,-6)[/tex]

[tex](x_3,y_3) = (-4,12)[/tex]

The equation can then be solved using linear interpolation as follows:

[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]

This gives:

[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]

[tex]\frac{y-12}{x+4} = -3[/tex]

Multiply both sides by x + 4

[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]

[tex]y - 12 = -3 *(x + 4)[/tex]

Open bracket

[tex]y - 12 = -3x -12[/tex]

Add 12 to both sides

[tex]y - 12+12 = -3x -12+12[/tex]

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

Answer:2/10, 3/15, 4/20,

Step-by-step explanation:

Answer:

2/10,3/15,4/20

Step-by-step explanation:

i hope it was helpful

Answer:

0.62 cents per pound

Step-by-step explanation:

2.48/4

to find price per pound which is the unit price

2.48/4=0.62

brainliest appreciated

Answer:

[tex]x^4+x^2-12[/tex]

Step-by-step explanation:

We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:

[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]

Expanding this, we get:

[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].

Answer:

12

Step-by-step explanation

c

Step-by-step explanation:

because th x value of 9 will determine rhe shape of s

Answer:

Susan should have 75¢ left.

Step-by-step explanation:

Taking away $5.00 from $10.00 makes $5.00. 5.00-2.50=2.50 and 2.50-1.75=.75

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)

Answer:

He would need to work for 18 hours.

Step-by-step explanation:

115÷5=23 (dollars)

414÷23=18 (hours)

Answer:

18 hours because Juan makes $23 an hours and if you divide the $414 by 23 you get 18 so he needs to work 18 hours to get $414

Step-by-step explanation:

Answer:

$13.95

Step-by-step explanation:

Total Amount to spend on gifts = $30

Number of gifts to purchase = 3

Amount spent on gift A = $9 1/4

Amount spent on gift B = $6 4/5

Amount left to spend on gift C:

Total amount - (gift A + gift B)

$30 - ($9 1/4 + 6 4/5)

$30 - (37/4 + 34/5)

$30 - (185 - 136) / 20

$30 - 321 / 20

30 - 16.05

$13.95