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3 years ago

What is (x − 3)(x − 5) = 35

Mathematics

1 answer:

JulijaS [17]3 years ago

6 0

Answer:

x=10 x=-2

Step-by-step explanation:

(x − 3)(x − 5) = 35

FOIL

x^2 -5x-3x+15 = 35

Combine like terms

x^2 -8x+15 = 35

Subtract 35 from each side

x^2 -8x+15-35 = 35-35

x^2 -8x-20 =0

Factor

What 2 numbers multiply to -20 and add to -8

-10*2 = -20

-10 +2 = -8

(x-10)(x+2) =0

Using the zero product property

x-10 =0 x+2 = 0

x=10 x=-2

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It takes 65 inches of ribbon to make a bow and wrap a ribbon around the box. The bow takes 30 inches of ribbon. The width of the

damaskus [11]

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3 0

3 years ago

Read 2 more answers

The heights of 20-year-old females are normally distributed with a mean of 64 inches

Oduvanchick [21]

Answer:

1.5

Step-by-step explanation:

Applying,

Z = (x-μ)/σ................. Equation 1

Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.

From the question,

Given: x = 67 inches, μ = 64 inches, σ = 2 inches.

Substitute these values into equation 1

Z = (67-64)/2

Z = 3/2

Z = 1.5

6 0

3 years ago

Please answer and explain thanksss

Ostrovityanka [42]

Answer:

81000000

Step-by-step explanation:

bracket one

3^2 = 9

9^2 = 81

bracket two

10^3 = 1000

1000^2 = 1000000

81 × 1000000 = 81,000,000

im not very good at explaining but ive tried to break it into parts just to make it a bit simpler to understand :)

4 0

3 years ago

I can’t figure this out

RSB [31]

Answer:

$\large{60^o\to\dfrac{19\pi}{3}\\\\288^o\to\dfrac{18\pi}{5}\\\\315^o\to\dfrac{23\pi}{4}\\\\80^o\to\dfrac{22\pi}{9}}$

Step-by-step explanation:

$\text{The formula of conversion of degrees to radians:}\ \dfrac{\theta \pi}{180}\\\\360^o=2\pi\\\\60^o=\dfrac{60\pi}{180}=\dfrac{\pi}{3}\qquad\dfrac{19\pi}{3}=6\pi+\dfrac{\pi}{3}=\dfrac{\pi}{3}\\\\288^o=\dfrac{288\pi}{180}=\dfrac{8\pi}{5}\qquad\dfrac{18\pi}{5}=2\pi+\dfrac{8\pi}{5}=\dfrac{8\pi}{5}\\\\315^o=\dfrac{315\pi}{180}=\dfrac{7\pi}{4}\qquad\dfrac{23\pi}{4}=4\pi+\dfrac{7\pi}{4}=\dfrac{7\pi}{4}\\\\80^o=\dfrac{80\pi}{180}=\dfrac{4\pi}{9}\qquad\dfrac{22\pi}{9}=2\pi+\dfrac{4\pi}{9}=\dfrac{4\pi}{9}$