What equivalent fractions do you see represented in the picture? Type them and explain how you know they are equivalent type it in!

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:

the answer is A)1,432.75.

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:

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:

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 & 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:

50%

is the probability of this question

Answer:

25%

Step-by-step explanation:

We have 4 choices when flipping two coins, HH, HT, TH and TT where H and T are heads and tails respectively. The only option where both coins will not land on heads is TT so the probability is 1/4 = 25%.

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

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:

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.

Step-by-step explanation:

first change it to fraction

1/6

use long division method to simplify

you will get

0.66666666666

leave your answer in 2 place decimal

0.167

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:

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:

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

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:

(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.

Answer:  8

Step-by-step explanation:

there is no table

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:

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:

Biology- Biography, Mortal-Mortify, Percent-Century, Revise-Adviser, dialogue-monologue.

Step-by-step explanation:

Bio

Mor or Mort

Cent

Vise

Logue

Are all the different latin roots present here.

Answer:

1) biology- biography

2) revise-adviser

3) mortal-mortify

4) percent- century

5) dialogue-monologue.

Step-by-step explanation:

1) Bio-Bio

2) vise-viser

3) mor-mor

4) cen-cen

5) logue-logue

are all matching words.

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: 15

Step-by-step explanation:

If two points are together, then you subtract the numbers to get the distance

19 - 4 = 15

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:

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:

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

Answer:

the 3 one is 4+5=9876

Step-by-step explanation:

Answer:

B. Spread

Step-by-step explanation:

Answer:

Picking and replacing

Step-by-step explanation:

theres only a 33% chance to get blue

Answer:

LOOk at the PicTure !!

Step-by-step explanation: