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gladu [14]
3 years ago
10

Which of the following quotients are equivalent to 1.5​? Select all that apply. A. 9/6 B. -3/-2 C. -9/6 D. 3/2 E. 9/-6 F. -3/2

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0
A, B, and D bc when you divide the rest of them they give you -1.5.
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See the ​attached file.
Masja [62]

f(x) = 4x - x^2

1)

f(4) = 4(4) - 4^2 = 16 - 16 = 0

f(-4) = 4(-4) - (-4)^2 = -16 - 16 = -32

f(4) - f(-4) = 0 - (-32) = 32

2)

f(3/2) = 4(3/2) - (3/2)^2

f(3/2) = 6 - 9/4 = 15/4

√f(3/2) = √(15/4) = √15 / 2

3)

f(x + h) = 4(x + h) - (x + h)^2

= 4x + 4h -(x^2 + 2xh + h^2)

= 4x + 4h -x^2 - 2xh - h^2

f(x - h) = 4(x - h) - (x - h)^2

= 4x - 4h -(x^2 - 2xh + h^2)

= 4x - 4h -x^2 + 2xh - h^2

So

[f(x + h) -f(x - h) ] / 2h

= [4x + 4h -x^2 - 2xh - h^2 - ( 4x - 4h -x^2 + 2xh - h^2 )] / 2h

=( 4x + 4h -x^2 - 2xh - h^2 - 4x + 4h + x^2 - 2xh + h^2 ) / 2h

= (8h - 4xh) / 2h

= 2h(4 -2x) / 2h

= 4 - 2x

Answer: [f(x + h) -f(x - h) ] / 2h = 4 - 2x

3 0
2 years ago
Where do young tigers swim
docker41 [41]
Tigers are the largest of the big cat family and the largest species can reach over 3 metres (11 feet) in length! They come from South and East Asia. Tigers are one of only two species of big cat to swim, and they often spend their days in rivers and lakes in order to keep cool. They do most of their hunting at night.

3 0
3 years ago
Read 2 more answers
PLEASE HELP!! I am very confused. WILL GIVE BRAINLY!!!!
erastovalidia [21]

Answer:

x=80, y=15

Step-by-step explanation:

The angle on the opposite side of 100 will be equal to x

We know it is 180-100 so x=80

We know 6y=90

therfore y = 90/6 which equals 15

so y=15 and x=80

8 0
2 years ago
Read 2 more answers
Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line
Vanyuwa [196]

Answer:

3x-5y=-20

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\

y=\frac{3}{5}x -\frac{7}{5}

The slope is m=\frac{3}{5}.

2y-9x=8 has the same y-intercept as the line. Let's convert.

2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}

y=\frac{8}{2}+\frac{9x}{2}  \\y=4+\frac{9}{2}x

The y-intercept is 4.

We take m=\frac{3}{5} and b=4 and substitute into y=mx+b.

y=\frac{3}{5}x+4

We now convert to standard form.

-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

-5(-\frac{3}{5}x+y=4)\\3x-5y=-20



3 0
3 years ago
At​ most, how many one sixth 1 6​-inch-long pieces of string can you cut from a two thirds 2 3​-inch-long piece of​ string?
bija089 [108]
2\3 23-1\6 16
2\3-1\6=5\6
23-16=7
7 5\6
4 0
3 years ago
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