A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?

Answer:

c²=a²+b².

Step-by-step explanation:

28²=17²+b² 766=289+b². -b²=289-766. b²=√475

Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

To find :-

Solution :-

8+x = 14

x = 14-8 (Signs change when transferred to opposite side)

x = 6

Answer:

volume is 20^3 inches i hope i helped

(mark brainliest)

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]

Answer:

65%

Step-by-step explanation:

We need to divide to solve this :)

13/20 = 0.65

Now we multiply :)

0.65 x 100 = 65%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

D. 65%

Step-by-step explanation:

the Number of red marbles is 13

The total number of marbles is 13 + 7 = 20

Then

the percentage of red marbles is :

[tex]\frac{13}{20} \times 100[/tex]

[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]

Answer: 12 gallons.

Step-by-step explanation: It takes 4 cups to make 1 quart.  It takes 4 quarts to make a gallon.  If you do the calculations, it takes 16 cups in total to make 1 gallon.  By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.

Let me know if this is right! :)

Answer:

Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve

Answer:

y=1/4x+3

Step-by-step explanation:

You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.

45-12=33

then divide 33 by 9: 33÷9=3.66666666 repeating forever. you can round up to 3.7.

Answer:

Step-by-step explanation:

This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.

36 liters.

36 km/3 Liters = x / 36             multiply both sides by 36

36*36 / 3 =  x

1296/3 = x

x = 432 km

So on 36 L he can go 432 km

3 liters

Given as 36 km

48 liters

36km/3 liters = x / 48 liters         Multiply both sides by 48

48*36/3 = x

576 km = x

So on 48 liters, he can go 576 km

132 liters

36 km/ 3 liters = x/132

x = 1564 km

On 132 liters Pat can go 1564 km

Answer:

2-31 your welcome answer is B.

Answer:

[tex](2c+a+3b)(2c-a-3b)[/tex]

Step-by-step explanation:

Given expression:  [tex]4c^2-a^2-6ab-9b^2[/tex]

Factor [tex]-a^2-6ab-9b^2[/tex]

[tex]\implies -(a^2+6ab+9b^2)[/tex]

[tex]\implies -(a+3b)(a+3b)[/tex]

[tex]\implies -(a+3b)^2[/tex]

Factor [tex]4c^2[/tex]

[tex]\implies(2c)(2c)[/tex]

[tex]\implies (2c)^2[/tex]

Therefore,

[tex](2c)^2-(a+3b)^2[/tex]

Difference of Two Squares: [tex]x^2-y^2=(x+y)(x-y)[/tex]

[tex]x^2=(2c)^2\implies x=2c[/tex]

[tex]y^2=(a+3b)^2 \implies y=a+3b[/tex]

Therefore,

[tex]\implies (2c + a + 3b)(2c - (a + 3b))[/tex]

[tex]\implies (2c+a+3b)(2c-a-3b)[/tex]

Answer:

(2c - a + 3b)(2c + a + 3b)

Step-by-step explanation:

4c² - a² - 6ab - 9b²

= 4c² - (a² + 6ab + 9b²) ← the terms in the parenthesiis are a perfect square )

= 4c² - (a + 3b)² ← this is a difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

= (2c)² - (a + 3b)²

= (2c - (a + 3b) )(2c + (a + 3b) )

= (2c - a - 3b)(2c + a + 3b)

The LSRL is the Least Squares Regression Line of the new engine design performance

This is the equation of the Least Squares Regression Line.

From the calculation summary, we have the following parameters:

So, the LSRL is:

y = 11.6559 + 3.47812x

Where y represents the predicted volume and x represents the weight.

In (a), we have:

y = 11.6559 + 3.47812x

Substitute 100 for x

y = 11.6559 + 3.47812 * 100

Evaluate

y = 359.4679

Hence, the predicted top speed when the weight is 100 tons is 359.4679

Read more about Least Squares Regression Line at:

https://brainly.com/question/24848242

Answer:

^EKF and^HKI

Step-by-step explanation:

100x³²

..................

Answer:

10 x 0.007 = 0.07

Step-by-step explanation:

im not sure if thats what you meant

Answer:

600in³

Step-by-step explanation:

the equation for volume is:

V=s*3

(s is a varible which means LengthxHeightxWidth)

step 1

V= (10")(5")(12")

then it equals your answer

up above is the answer.

Hope it help you out.

Don't forget to label.

Answer:

Angle u is 52

Step-by-step explanation:

I only know this

52 because internal angle of triangle is 180 subtract 90 and 38 from 180 and you will get 52

Answer:

the answer is 56in2

Step-by-step explanation:

[tex]b = 14in \\ h = 8in \\ area \: of \: triangle = \frac{1}{2} b \times h \\ = \frac{1}{2} \times 14 \times 8 \\ = 56inches[/tex]

Answer:

Step-by-step explanation:

The angle formed by two secants is half the difference of intercepted arcs.

Correct choice is B

Let that be m

option B

Answer: Degenerate

Step-by-step explanation:

This conic section (intersecting lines) is a degenerate

The conic section is degenerate.

The correct option is (e).

Any curve produced by the intersection of a plane and a right circular cone.

As, the given figure shows a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.

Hence, the conic section is degenerate.

Learn more about conic here:

https://brainly.com/question/26909560

#SPJ2

Answer:

D. x>5

Step-by-step explanation:

[tex]3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5[/tex]

A graph that shows a function must pass the vertical line test

The true statement is (b) No; the graph fails the vertical line test.

For a graph to show a function, the graph must pass the vertical line test

The given graph do not pass the vertical line test;

This is so because, a line drawn from the x-axis would touch the graph at at least two different points

Hence, the true statement is (b) No; the graph fails the vertical line test.

Read more about the vertical line tests at:

https://brainly.com/question/1821791

Answer:

5x(squared)-4x+1

2x(squared)+11xy+14

7x(squared)+7xy+3x-17

Step-by-step explanation:

Answer:

iam thinking the answer is ""-262,5ft""

The height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.

The height is a vertical distance between two points. It is given that A model rocket is launched 25 feet from you. When the rocket is at height h, the distance d between you and the rocket is given by d = 625 + h² where h and d are measured in feet.

The height will be calculated by forming the two equations from the given data in the question.

25  =  625  +  h²

100  =  4  (  625   +  h² )

100  =  ( 2500   +  4h²  )

By solving both the equations:

100  -  25  =  2500  -  625  +  4h²   -   h²

3h²   =  1800

h   =   √600

h   =   24.49 feet

Therefore the height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.

To know more about height follow

https://brainly.com/question/1739912

#SPJ2

Look at the diagram for the answer

Hope that helps!

Answer:

[tex]3z {}^{3} \times 12[/tex]

[tex]36z {}^{3} [/tex]

Answer: 4n-7

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{19695}{x - 15605} = 100[/tex]

[tex]19695 = 100(x - 15605)[/tex]

[tex]19695 = 100x - 1560500[/tex]

[tex]19695 + 1560500 = 100x[/tex]

[tex]15801 95 = 100x[/tex]

[tex] \frac{1580195}{100} = x[/tex]

[tex]x = 15801.95[/tex]