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3 years ago

Use the distributive property to evaluate 4(2x-1) when x=6 .

Mathematics

1 answer:

vichka [17]3 years ago

8 0

Answer:

Step-by-step explanation:

The distributive property: <em>a(b + c) = ab + ac</em>

4(2x - 1) = (4)(2x) + (4)(-1) = 8x - 4

Put x = 6 to the expression:

8(6) - 4 = 48 - 4 = 44

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Can somebody help me extra points<br> Complete the statement below about the two figures.

Katena32 [7]

Answer:

NOT CONGRUENT - DIFFERENT

Step-by-step explanation:

For triangles to be congruent the angles have to be the same, in other words, any transformation would work, but a completely different triangle would not.

6 0

3 years ago

For each level of precision, find the required sample size to estimate the mean starting salary for a new CPA with 95 percent co

Rzqust [24]

Answer:

(a) Margin of error ( E) = $2,000 , n = 54

(b) Margin of error ( E) = $1,000 , n = 216

(c) Margin of error ( E) = $500 , n= 864

Step-by-step explanation:

Given -

Standard deviation $\sigma$ = $7,500

$\alpha$ = 1 - confidence interval = 1 - .95 = .05

$Z_{\frac{\alpha}{2}}$ = $Z_{\frac{.05}{2}}$ = 1.96

let sample size is n

(a) Margin of error ( E) = $2,000

Margin of error ( E) = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

E = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$E^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{2000^{2}} \times 7500^{2}$

n = 54.0225

n = 54 ( approximately)

(b) Margin of error ( E) = $1,000

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

1000 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$1000^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{1000^{2}} \times 7500^{2}$

n = 216

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

500 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$500^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{500^{2}} \times 7500^{2}$

n = 864

7 0

4 years ago

Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundr

Dovator [93]

Step-by-step explanation:

3 pairs of flip flops = 14.95 x 3 = 44.85

Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78

After adding tax = 91.78 + 7.34 = 99.12

Mrs B spent 99.12 altogether

Budget = 100

Then money left = 100 - 99.12 = 0.88

8 0

3 years ago

Which expression is equivalent to 2x-2(20-3x)+12

Darina [25.2K]

Answer:

-7x-48

Step-by-step explanation:

2x-3(20-3x)+12

2x-60-9x+12 (distribute)

-7x-48

hope this helps

brainliest?

6 0

3 years ago

Solve:<br><br> (15/x)+(9x-7)/(x+2)=9

hram777 [196]

Answer:x=3

Step-by-step explanation:

D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

(9*x-7)/(x+2)+15/x = 9 // - 9

(9*x-7)/(x+2)+15/x-9 = 0

(x*(9*x-7))/(x*(x+2))+(15*(x+2))/(x*(x+2))+(-9*x*(x+2))/(x*(x+2)) = 0

x*(9*x-7)+15*(x+2)-9*x*(x+2) = 0

9*x^2-9*x^2+8*x-18*x+30 = 0

30-10*x = 0

(30-10*x)/(x*(x+2)) = 0

(30-10*x)/(x*(x+2)) = 0 // * x*(x+2)

30-10*x = 0

30-10*x = 0 // - 30

-10*x = -30 // : -10

x = -30/(-10)

x = 3

3 0

3 years ago