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Yanka [14]
3 years ago
5

The expression below is the factorization of what trinomial?(5x + 4)(2x - 5)

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0

Answer: 10x^2-17x-20

Step-by-step explanation:

You might be interested in
poll finds that 54% of the 600 people polled favor the incumbent. Shortly after the poll is taken, it is disclosed that he had a
Paha777 [63]

Answer: A. z = -2.57

Step-by-step explanation:

Let p be the population proportion of people polled favor the incumbent.

As per given , we have

H_0: p=0.54\\\ H_a: p

Sample size : n= 1030

sample proportion :  \hat{p}=0.50

Test statistic for proportion : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.50-0.54}{\sqrt{\dfrac{0.54(1-0.54)}{1030}}}\\\\= \dfrac{-0.04}{\sqrt{\dfrac{0.2484}{1030}}}\\\\=\dfrac{-0.04}{0.015529488}\approx-2.57

Hence, the  test statistic is z = -2.57 .

Thus , the correct answer is A. z = -2.57 .

7 0
3 years ago
Find the volume of the cylinder below (using 3.14 for p).
Gnoma [55]
<h3>Answer:  803.1  m^3</h3>

==========================================================

Work Shown:

d = 8.4 is the diameter

r = d/2 = 8.4/2 = 4.2 is the radius

h = 14.5 is the height

V = pi*r^2*h = volume of cylinder

V = pi*(4.2)^2*14.5

V = pi*255.78

V = 255.78pi = exact volume in terms of pi

V = 255.78*3.14

V = 803.1492

V = 803.1  ... round to one decimal place

The units for the volume are in cubic meters which we can abbreviate as "m^3"

7 0
3 years ago
Yolanda is filling her bathtub. The table shows the number of gallons of water in the bathtub at different times since she start
Gelneren [198K]

Answer:

K= 16.5 gallons per minute

Step-by-step explanation:

Time t (minutes) Water g (gallons)

For t= 1, g= 16.50,

for t= 1.5 ,g= 24.75

For t= 2,g= 33

Let the function be

Gallons g= k(time t)

Where k is the constant of proportionality

16.5= k(1)for when t= 1

24.75= k(1.5) ..for when t= 1.5

Solving gives

8.25=k(0.5)

8.25/0.5= k.

16.5 = k

K= 16.5 gallons per minute

4 0
3 years ago
What is the area of the triangle formed from (0,-1), (0.4), and (4,-1)?
Rufina [12.5K]

Answer:

10 squared units

Step-by-step explanation:

This triangle is pretty easy since it creates a right triangle.  So the base length and height length are pretty easy to identify.

The area of a triangle is .5*base*height.

The base length after drawing the points is a horizontal so just count it or do 4-0=4.

The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.

So the area of the triangle is .5*4*5=.5(20)=10 units squared.

Now if you didn't fill like drawing it and you knew how to find the determinant.

You just compute

.5 times det|  0   -1     1  |

                   |  0   4      1  |

                   |   4  -1      1  |

.5[  0 det| 4     1  |          -   -1 det|  0   1 |          +    1 det | 0   4 |      ]

              |  -1    1  |                        |  4   1 |                         |  4  -1 |

.5[ 0                           - -1(0-4)                      +   1(0-16)]

.5[  0                         -4                               -16]

.5[-20]

-10

And if you get a negative just take the absolute value of it giving you 10.  

3 0
3 years ago
My daughter really docent understand this an di can't help her so if someone els could that would be great.
joja [24]

Answer:

B, D, F, and H

Step-by-step explanation:

You substitute in each of the numbers for x and see if it equals one of the values in the range. {-37, -25, -13, -1}

A)  -6(1)+11=-5 NO

B)  -6(2)+11=-1 YES

C)  -6(3)+11=-7 NO

D)  -6(4)+11=-13 YES

E)  -6(5)+11=-19 NO

F)  -6(6)+11=-25 YES

G)  -6(7)+11=-31 NO

H)  -6(8)+11=-37 YES

So the ones to select are B, D, F, and H.

5 0
2 years ago
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