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blondinia [14]
2 years ago
11

Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square

Mathematics
1 answer:
siniylev [52]2 years ago
4 0

Answer:

x={-sqrt(103/7)+4, sqrt(103/7) +4}

Step-by-step explanation:

Subtract 7x from both sides: 7x^2-56x=-9

Divide both sides by 7: x^2-8x=-9/7

Solve for a (2ax=-8x): -4

Plug a back in: -9/7+(-4)^2=103/7

Complete the square: (x-4)^2=103/7

Therefore, x={-sqrt(103/7)+4, sqrt(103/7) +4}

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In an article in Marketing Science, Silk and Berndt investigate the output of advertising agencies. They describe ad agency outp
fredd [130]

Answer: (7.27%, 7.55%)

Step-by-step explanation:

As per given , we have

Sample size : n= 392

Sample mean : \overline{x}=7.41\%

\sigma=1.43\%

Critical two-tailed z-value for 95% confidence = z_{\alpha/2}=1.96

Required confidence interval would be :

7.41\%\pm (1.96)\dfrac{1.43\%}{\sqrt{392}}\\\\=7.41\%\pm 0.14\%\\\\=(7.27\%, 7.55\%)

Hence, the required 95% confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies : (7.27%, 7.55%)

7 0
3 years ago
What is the value of the expression shown below?
eduard

Answer:

7

Step-by-step explanation:

6+((((9-1)/4*((1/2)^4))

6 0
2 years ago
Julian calculates the volume of a rectangular prism with the dimensions 3/4ft by 4 feet by 1/2 ft. His work is shown here.
lbvjy [14]

Answer:

He multiplied the denominators incorrectly

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

V=LWH

we have

L=3/4 ft

W=5/1 ft

H=1/2

substitute

V=(3/4)(5/1)(1/2)= 3x5x1=    15

                           ₋₋₋₋₋₋₋₋    ₋₋₋₋ ft³

                           4x1x2=    8

                       

therefore

He multiplied the denominators incorrectly

7 0
2 years ago
The larger angle measures?<br> The smaller angle measures?
ludmilkaskok [199]

Answer:

Larger angle: 104 degrees

Smaller angle: 76 degrees

Step-by-step explanation:

(9x+5) + (6x+10) = 180

x = 11

5 0
2 years ago
Find the volume of a half sphere with a radius of 10
Ugo [173]
The volume of a sphere is calculated like so:
v = 4*pi*r^3/3
so half sphere will have half that volume:
v = (<span>4*pi*r^3/3)(1/2)
</span>v = <span>4*pi*r^3/6
</span>plug in the data:
v = <span>4*pi*(10)^3/6
</span>v = 2094.4
that is the volume of the half sphere
7 0
3 years ago
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