PLEASE HELP!!!


1. Which is a factor of x^2+5x-24

a. (x+4)

b. (x-4)

c. (x+3)

d. (x-3)


2. Which is a factor of x^2+2x-15

a. (x-3)

b. (x+3)

c. (x+15)

d. (x-5)


3. Which is a factor of n^2+3n-54
a. n+6
b. n^2+9
c. n-9
d. n+9

Answer:

u = [tex]{\boxed{\sf{\: 3 \:}}}[/tex]⁰

Step-by-step explanation:

So, according to the question :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{Sum \: of \: all \: angles = {180}^{\circ}}}}\\\\ \qquad{\longrightarrow{\sf{{74}^{\circ} + {52}^{\circ} + 18u = {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{{126}^{\circ} + 18u = {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u = {180}^{\circ} - {126}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u = {54}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{u = \dfrac{54}{8}}}}\\\\\qquad{\longrightarrow{\sf{u = {3}^{\circ}}}}\\\\ \qquad\star{\underline{\boxed{\frak{\pink{u = {3}^{\circ}}}}}}\end{gathered}[/tex]

Hence, the value of u is 3⁰.

[tex]\rule{300}{2.5}[/tex]

Answer:

the second one  

Step-by-step explanation:

Answer:

q = 5/18

Step-by-step explanation:

q + 5/9 = 5/6

Subtract 5/9 from each side

q + 5/9 - 5/9 = 5/6 - 5/9

q = 5/6 - 5/9

Get a common denominator of 18

q = 5/6 *3/3 - 5/9 *2/2

q = 15/18 - 10/18

q = 5/18

Answer:

hope this helps you a lot

have a great day

Hi!

If you divide something into two pieces, each piece is a half.

Therefore each child gets [tex]\frac{1}{2}[/tex] of the cheese.

Answer:

$0.18

Step-by-step explanation:

we need to set up two simultaneous equations

using variables, pencils = p and erasers = e

3 pencils and 2 erasers, the cost is $0.76

3p + 2e = $0.76

2 pencils and 4 erasers, the cost is $1.04.

2p + 4e = $1.04

we now have

3p + 2e = $0.76

2p + 4e = $1.04

to make the number of erasers the same, multiply the first equation by 2 to give 4e

2(3p + 2e = $0.76)

6p + 4e = $1.52

now we have the same number of erasers for both equations

6p + 4e = $1.52

2p + 4e = $1.04

subtract across: 6p - 2p = 4p, 4e - 4e = 0, $1.52 - $1.04 = $0.48

we are left with 4p = $0.48

divide both sides by 4

p = $0.12

1 pencil = $0.12

go back to the start of both equations and use one of them to find 1 eraser. I'll use 3p + 2e = $0.76

input $0.12 in p

3($0.12) + 2e = $0.76

$0.36 + 2e = $0.76

subtract $0.36 on both sides

2e = $0.76 - $0.36

2e = $0.40

divide 2 on both sides

e = $0.20

1 eraser = $0.20

How much more does 1 eraser cost than 1 pencil?

we now know 1 pencil = $0.12 and 1 eraser = $0.20

find the difference between them

$0.20 - $0.12 = $0.18

final answer= $0.18

Answer:

Step-by-step explanation:

Given expression:

Solve to get the power:

Your answer is D.

Answer:

90 km per hour

Step-by-step explanation:

divide total distance by number of hours traveled :)

Answer:

ok I will

Step-by-step explanation:

Answer:

[A]

29, 27, 25, 23, 21.......

term #1 = 31-2 = 29

term #2 = 31-4 = 27

term #3 = 31-6 = 25

term #4 = 31-8 = 23

term #5 = 31-10 = 21

...

tern #n = 31-2nStep-by-step explanation:

[B]

The answer to this question is very simple 120.

You can even do it systematically.

Take a=114, d = a2 - a1 = 116 - 114 =2

So now you get, a1= 114, d = 2

Now you want the 4th term so,

a4 = a + (n-1)d

a4 = 114 + 3 (2)

a4 = 114 +6 = 120

Answer:

(11,11)

Step-by-step explanation:

Moving 5 units to the right means add 5 to x

Moving 4 units up means add 4 to y

(6+5, 7+4)

(11,11)

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{llll} A.3\\\\ \log_{\frac{1}{2}}\left( \frac{1}{8} \right)=3\implies \left( \cfrac{1}{2} \right)^3=\cfrac{1}{8}~ \end{array} \hfill \begin{array}{llll} B.4\\\\ 3^{-4}=\cfrac{1}{81}\implies \log_3\left( \frac{1}{81} \right)=-4 \end{array}[/tex]

Answer:

C=83º

Step-by-step explanation:

It’s the same from the other side.

Answer: c=83 d=97

Step-by-step explanation: corrosponding angles are equal and angles on a straight line add to 180 so 180-83=97

Answer:

Mean: 11.6

Median: 14

Mode: 18

Range: 17

Step-by-step explanation:

Mean: add all of the numbers and divide by how many numbers there are

Median: Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Mode: the number that occurs the most

Range: Subtract the minimum data value from the maximum data value to find the data range. In this case, the datarange is 18−1=17

Answer:

29,540

Step-by-step explanation:

28,000 x 5.5%=1540

28,000+1540=29,540

She will pay 29,540 in state income tax.

Answer:

2x-32

Step-by-step explanation:

You would distribute the 4.

Answer:

Step-by-step explanation:  So amount Earned per hour is 9.25

h = time

and 7.5=amount he spent / money made=9.25h-7.5  !

HOPE IT HELPS!!

Answer:

y= 1/2x -7

Step-by-step explanation:

Find the y-intercept. It is where the line crosses "y" which is -7

Next find the rise and the run for "x"

Rise - 1

Run - 2

Then put them in slope intercept form

y=1/2x -7

90 - 53.45 = 36.55

36.55 / 7.31 = 5 pounds of coffee

Step-by-step explanation:

Convert the given value in cm into feet and inches.

Use the unit rates:

Convert:

or

Answer:

Equation will be y = 5x + c

Step-by-step explanation:

For point (5, 1)

1 = 5(5) + c

Or, c = - 24

So, y = 5x - 24

Answer: The width is 9 units and the length is 20 units

Step-by-step explanation:

Perimeter is length + length + width + width, (P = 2l + 2w)

76 = 2(w+20) + 2w

76 = 2w + 40 + 2w

76 = 4w + 40

Subtract 40 on both sides

36 = 4w

Divide both sides by 4

9 = w

That means the length is 29 and the width is 9. To check out work, add 29+29+9+9 to get 76. Our answer is correct.

Answer:

13

Step-by-step explanation:

the difference is -5

the 49th term is 13

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: [tex]SA=2\pi rh+2\pi r^2[/tex]

Volume: [tex]V=\pi r^2h[/tex]

Therefore, the height of a cylinder given its volume would be [tex]h=\frac{V}{\pi r^2}[/tex], thus:

[tex]SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2[/tex]

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

[tex]\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r[/tex]

[tex]0=-\frac{800}{r^2}+4\pi r[/tex]

[tex]0=800\pi+4\pi r^3[/tex]

[tex]-800\pi=4\pi r^3[/tex]

[tex]-200=r^3[/tex]

[tex]r\approx5.848[/tex]

If [tex]0If [tex]r>5.848[/tex], then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is [tex]r=5.848cm[/tex], making the minimum height [tex]h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm[/tex].

In conclusion, the 2nd option is correct.

Answer:

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

We need slope

Take 2 points

[tex]\\ \tt\hookrightarrow m=\dfrac{-0.8+0.4}{2-1}[/tex]

[tex]\\ \tt\hookrightarrow m=\dfrac{-0.4}{1}=-0.4[/tex]

Answer:

49.6

Step-by-step explanation:

Answer:

19/50 as a decimal is 0.38.

Step-by-step explanation: