What is 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 in exponential noation

Answers

Answer 1

Answer:

Answer: $7^8$

This is the same as writing 7^8 when using a keyboard.

The exponent 8 refers to how many copies of the base "7" that are multiplied.

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Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?A.right 1 unit
B.left 1 unit
C.right 2 units
D.left 2 units

Answers

The vertex of f(x) = x^2 is (0,0)

The vertex of g(x) = x^2 + 2x + 1 = 0 is (-1,0)

Then, translating the f(x) one unit to the left will map (0,0) onto (-1,0).

Answer B: left 1 unit.

Answer: left 1 unit

Step-by-step explanation:

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Emily is three years older than twice her sister mary’s age. the sum of their ages is less than 30. let x represent mary's age. which inequality represents mary’s possible age? responses •0

Answers

x < 9

Step-by-step explanation:

Let's use the information given to create an inequality for Mary's age (represented as x):

↪ Emily is three years older than twice Mary's age, so Emily's age is 2x + 3.

↪ The sum of their ages is less than 30, so we can write an inequality:

x (Mary's age) + 2x + 3 (Emily's age) < 30

Now, We can simplify the inequality:

3x + 3 < 30

Subtract 3 from both sides of the inequality:

3x < 27

Now, divide both sides by 3 to isolate x:

x < 9

So, Mary's possible age (represented by x) is less than 9. The inequality that represents Mary's possible age is: x < 9.

In the function f (x)=(x-2)^2+4, the minimum value occurs when x is... (a) -2(b) 2
(c) -4
(d) 4

Answers

Hello,

y=a(x-h)²+k has the vertex (h,k)
If a>0 it is a minimum
if a<0 it is a maximum

Here h=2 and k=4

The minimum is 2
Answer B.

A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? Show work pls