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3 years ago

If a = b + 2, then (b - a)⁴ = ?

1 answer:

8 0

Use substitution.

anywhere you see "a" , than you would plug in b + 2 in for it so....

(b - (b + 2)^4

now take the negative sign and distribute it "+"

so b - b is 0, than 0 - (-2) is -2.

so what is (-2)^4 ????? it would become positive 16

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If your current examination mean is 97.2 and you receive a 99 on the next examination, what effect will this have?

mr Goodwill [35]

If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.

Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.

To find the average, sum all the values in the set. Then divide the total by the number of values.

We have the current examination mean, xold = 97.2

Now, we receive, x = 99 on the next examination, the new mean will be:

xnew = (xold + x)/N

xnew = (97.2+99)/2

xnew = 196.2/2

xnew = 98.1

The new average is 98.1

98.1 > 97.2

So if you score 99 on your next exam, your average will increase.

Learn more about mean here

brainly.com/question/1136789

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3 0

1 year ago

Read 2 more answers

If f(x)= x+7 and g(x)= 1/x-13

Natasha2012 [34]

1. x = y - 7
2. g = x12

4 0

3 years ago

Write a fact with the same sum as 7+5

kaheart [24]

7+5=12 so it can be one of these 8+4=12, 9+3=12, 10+2=12, and 11+1=12.

5 0

3 years ago

Johanna carves a square block of wood that has on one side an area of 872 square inches. to the nearest integer, what is the len

BARSIC [14]

Let n be one side of the square wood block. Then:
n²=872
n=√872=approx. 30" per side
☺☺☺☺

8 0

3 years ago

2 sin^2 (x) -5 sin (x) -3=0

andreyandreev [35.5K]

we have that

$2sin^{2} x-5sin x-3=0$

I. Rewrite the equation by substituting the expression u in for sin x.

$2u^{2} -5u-3=0$

II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.

$2u^{2} -5u-3=0$ is equal to

using a graph calculator-----> see the attached figure

$(u-3)*(2u+1)=0$

III. Use the zero product property to solve the quadratic equation.

$(u-3)*(2u+1)=0$

(u-3)=0--------------> u=3

(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5

IV. Rewrite your solutions to Part III by replacing u with sin x.

sin x=3--------> is not the solution (sin x can not be greater than 1)

sin x=-0.50------>is the solution

V. Solve the remaining equations for x, giving all solutions to the equation.

sin x=-0.50

if the sine is negative

then

x belong to the III or IV quadrant

we know that

sin 30°=0.50

the solution for the III quadrant is

x=180°+30°-------> x=210°

the solution for the IV quadrant is

x=360°-30°------> x=330°

5 0

3 years ago