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2 years ago

Question 6 (2 points)

Mathematics

1 answer:

nirvana33 [79]2 years ago

6 0

Answer:

Step-by-step explanation:

Ratio = 3 : 2

Length =3x

Width = 2x

Perimeter = 50 inches

2*(length + width ) = 50

2* (3x + 2x ) = 50

2* 5x = 50

10x = 50

x = 50/10

x = 5

Length = 3*5 = 15 inches

Width = 2*5 = 10 inches

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Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.

tino4ka555 [31]

Answer:

4 $x^{2}$ -16x+8

Step-by-step explanation:

4(x - 2)(x - 2) - 8 = 4( $x^{2}$ - 4x + 4) - 8 = 4 $x^{2}$ - 16x + 16 - 8 = 4 $x^{2}$ - 16x + 8.

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2 years ago

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

scoray [572]

Answer: 12

Step-by-step explanation:

You can multiply by 12 because to get rid of the fractions all terms should be divided by the LCM (ie the smallest multiple that is exactly divisible by 2, 4 and 3)

Multiples of 3 = 3, 6, 9, 12

Multiples of 4 = 4, 8, 12, 16

Multiples of 2 = 2, 4, 6, 8, 10, 12

Therefore the fractions should be multiplied by 12

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2 years ago

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Please help me out with this!!

galina1969 [7]

Answer:

see explanation

Step-by-step explanation:

Given

x + $\frac{1}{2}$ ≤ - 3 or x - 3 > - 2

Solve the left and right inequalities separately, that is

x + $\frac{1}{2}$ ≤ - 3 ( isolate x by subtracting $\frac{1}{2}$ from both sides )

x ≤ - 3 - $\frac{1}{2}$ , that is

x ≤ - $\frac{6}{2}$ - $\frac{1}{2}$ , thus

x ≤ - $\frac{7}{2}$

x - 3 > - 2 ( isolate x by adding 3 to both sides )

x > 1

Solution is

x ≤ - $\frac{7}{2}$ or x > 1

7 0

2 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

CAN SOMEONE PLEASE HELP ME???

Varvara68 [4.7K]

Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

m=(y2-y1)/(x2-x1)

=(-1-7)/(-3-1)

=-8/-4

5 0

2 years ago