So this isn’t a test I just want to make sure I’m writing this correctly.

I have written 2x-18=-2y+12
Then I added 18 is that correct so far.

Answer:

A: 33.5

B: 24.5

Step-by-step explanation:

Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.

Step-by-step explanation:

Answer:

[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Step-by-step explanation:

[tex]f(x)=3x^2 + 2x + 4[/tex]

[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]

[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Answer:

f(2) = 20

f(a+h) = 3a²+6ah+3h²+2a+2h+4

Step-by-step explanation:

f(x) = [tex]3x^2+2x+4[/tex]

A) Putting x =2

=> f(2) = 3(2)²+2(2)+4

=> f(2) = 12+4+4

=> f(2) = 20

B) Putting x = a+h

=> f(a+h) = 3(a+h)²+2(a+h)+4

=> f(a+h) = 3a²+6ah+3h²+2a+2h+4

Answer:

108/9 = 12

Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12

Answer:

the answer for this question is (y-5)/4=x

Answer:

y= -3/4

Step-by-step explanation:

The y-intercept of the line perpendicular to the line  [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1

The equation of a line in point-slope form passing through the points

[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Given that,

The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point

(-3, -3).

Let us assume that the slope of perpendicular lines is m₁ and m₂.

Hence,

[tex]m_1 \times m_2 = - 1[/tex]

Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]

The equation of perpendicular line is,

[tex]y = \frac{-3}{4} x + 5[/tex]

Slope = [tex]\frac{-3}{4}[/tex]

Hence, the slope of the line is,

[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]

[tex]m = \frac{4}{3}[/tex]

Since, the line includes the point (-3, -3).

Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

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

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

Multiply by 3 on both sides,

⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]

⇒ [tex]3y + 9 = 4x + 12\\[/tex]

⇒ [tex]3y = 4x + 3[/tex]

⇒ [tex]y = \frac{4}{3} x + 1[/tex]

So, the y-intercept is, 1

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Answer:

I think that the ADA (Americans with Disabilities Act) has explicit regulations on slopes and ramps so that people with disabilities can go about their daily life easier, and to guarantee the safety and wellbeing of the disabled. If, for instance, a wheelchair ramp were too steep, there would be a danger of the wheelchair rolling down too quickly, or the person falling backward on their way up.

Answer:

i think it is -9x/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since 20% is taken off, 100%-20% or 80% remains.

80% of $65 is 0.80�$65 or $52.  That's the price without tax.  

The tax on $52 is 0.06�$52 or $3.12,

$52 + $3.12 = $55.12

Answer:

d

Step-by-step explanation:

Answer:

B. Spread

Step-by-step explanation:

Answer:

One leg - 15 inches

Second leg - 36 inches.

Step-by-step explanation:

One leg - x inches.

Second leg - (x + 21) inches.

Hypotenuse - 39 inches.

Using Pythagorean theorem

x² + (x + 21)² = 39²

x² + x² + 2*21x  + 21² = 39²

2x² + 42x - 39² + 21² = 0

2x² + 42x - 1080 = 0

x² + 21x - 540 = 0

(x - 15)(x + 36) = 0

x = 15, x = - 36

We can use only positive value.

One leg - x inches = 15 inches

Second leg - (x + 21) inches = 15+21=36 inches.

Answer:

No, it is not.

Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

   6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

Answer:

It will take santana 630 minutes or 10.5 hours to complete the 21 miles.

Step-by-step explanation:

Answer:

28%

Step-by-step explanation:

Given that

The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-

Remaining of large pieces of mail were catalogs

= 100% - 22%

= 78%

Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog

[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]

[tex]= \frac{2,808}{10,000}\times 100[/tex]

= 28.08%

or

28%

Answer:

28%

Step-by-step explanation:

Answer:

  (7x +6y)(49x^2 -42xy +36y^2)

Step-by-step explanation:

The factoring of the sum of cubes is a special form:

  a³ +b³ = (a +b)(a² -ab +b²)

We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.

From our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...

  343x³ +216y³ = (7x)³ +(6y)³

Our factoring pattern above can be used with ...

Substituting these values, we have ...

  343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)

  343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)

Answer:  8

Step-by-step explanation:

there is no table

Answer:

730.61664

Step-by-step explanation:

area equals πr2=π·15.252≈730.61664

Answer:

829.15625 units squared

Step-by-step explanation:

The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.

Answer:

s = 5/4 pi

Step-by-step explanation:

A = 25π cm2

Theta = pi/4

A = pi r^2 = 25 pi

Divide each side by pi

r^2 = 25

Taking the square root of each side

sqrt(r^2) = sqrt(25)

r = 5

The arc length is

s = r  * theta where theta is in radians

s = 5 * pi/4

s = 5/4 pi

Answer:

G. 78

Step-by-step explanation:

Blue to red=11:2

Red to purple=2:7

Total crayons =120

Total ratio

=11+2+7

=20

Blue=11

Red=2

Purple=7

Purple crayons

=Ratio of purple /Total ratio× Total crayons

=7/20×120

=42

If all the purple crayons were removed

=Total crayons - purple crayons

=120-42

=78

Answer:

y < 1 - (3x)/4

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y < 1 − 3 x /4

the graph is partially shaded. the shade crosses through (0,1) and (1,0).  I hope you can figure that out :)

Answer:

The second choice. m < 4 = 85 degrees.

Step-by-step explanation:

m < 4 = 180 - m < 1

= 180 - 95

= 85 degrees.

The measure of angle 4 is 85 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that measure of Angle 1 is 95 degrees.

Therefore, we can see that  angle 4 and Angle 1 makes linear pair so.

Angle 4 = 180 - Angle 1

= 180 - 95

= 85 degrees.

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Answer:

[tex]18641.50 \: cm^2\\154.06 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]484=\pi d[/tex]

[tex]\frac{484}{\pi } =d[/tex]

[tex]d=154.06198[/tex]

[tex]A=\pi r^2[/tex]

[tex]\pi (\frac{d}{2}) ^2[/tex]

[tex]\pi (\frac{154.06198}{2}) ^2[/tex]

[tex]A=18641.49898[/tex]

Answer:

The area of the circle is approximately 18641.5 because you need to round to the nearest place value. The diameter of the circle is approximately 154.06.

Step-by-step explanation:

Area=πr2

Circumference=2πr

Solving for Area

Area= C²/4 π = 484²/4·π ≈ 18641.50017

———————————————————————————

Circumference =2πr

Diameter= πr

Solving for Diameter

Diameter= C/π = 484/π≈ 154.06198

Answer:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:

or

Step-by-step explanation:

In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:

Having this, you can make the equation taking into account the proportion:

This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:

How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.

Answer:

b = 2.5 r

or

b = 5r/2

Answer:

the answer is-

Step-by-step explanation:

b added to 12 times x.

the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc

Answer:

the answer would be c the

third option

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Step-by-step explanation:

Ratio Red to Black is 1:1

Therefore, Red and Black has 25 cards respectively

If 10B cards are removed, then 25-10=15B cards left

Current ratio Red to Black is 25:15 and simplest form is 5:3

Answer & Step-by-step explanation:

The equation for slope-intercept form is y=mx+b

In order to solve this problem, we can just solve the equation to find y.

y - 6 = 5(x - 2)

Distribute 5 to (x - 2)

y - 6 = 5x - 10

Add 6 to both sides of the equation.

y = 5x - 4

So, the slope of the line is 5.

The required slope of the line m = 5

What is the slope of the line represented by the equation y-6 = 5(x - 2)

line, is curve showing the shortest distance between 2 points.

Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5

Thus, The required slope of the line m = 5

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Answer:

[tex]x=10\\x=-10[/tex]

Step-by-step explanation:

[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]

[tex]x=10\\x=-10[/tex]

Answer:

[tex]x=\pm 10[/tex]

Step-by-step explanation:

[tex]\mid x \mid -13=-3[/tex]

Add 13 to both sides:

[tex]\mid x \mid=10[/tex]

[tex]x=\pm 10[/tex]

Hope this helps!

Answer:

A.

Step-by-step explanation:

[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]

Answer:

A

Step-by-step explanation:

Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared