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Rzqust [24]
3 years ago
10

The question is in the picture.

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

Answer:

1. 3sqrt(2)

Choice C

2. 2sqrt(3)

Choice D

Step-by-step explanation:

1.  sqrt(x+3)

sqrt(15+3)

sqrt(18)

sqrt(9*2)

sqrt(9)sqrt(2)

3sqrt(2)

Choice C


2.  6/sqrt(x)

6/sqrt(3)

no radicals in the denominator, multiply by 1 in the form of the radical

6/sqrt(3) * sqrt(3)/sqrt(3)

6sqrt(3)/ (sqrt(3)*sqrt(3))

6sqrt(3)/3

2sqrt(3)

Choice D


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Is 1+4(3x-10)-12x equivalent to -9 ?
vodka [1.7K]

Answer:

Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:

1 + 12x - 40 -12x

= 1 - 40

= -39

8 0
3 years ago
NEED HELP NOW!!!!
Dovator [93]

Answer:

f(x) = -3x --->#6

f(x) = |x-1|+3 --->#5

f(x) = √(x+3) --->#3

1/2x² --->#1

f(x) = (x+1)²-3 --->#4

4|x|--->#2

Step-by-step explanation:

Recall for transformations:

  • Adding a number outside the function moves it up
  • Subtracting a number outside the function moves it down
  • Adding inside the function moves it to the left
  • Subtracting inside the function moves it to the right
  • Multiplying to the function by a number less than 1 compresses
  • Multiplying to a function by a number greater than 1 stretched it
  • Multiplying by a negative flips the graph

f(x) = -3x

This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.

f(x) = |x-1|+3

Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.

f(x) = √(x+3)

Addition inside the function shifts it to the left 3. This is #3

1/2x²

Multiplication by 1/2 which is less than 1 compresses it. This is #1.

f(x) = (x+1)²-3

Addition inside the function shifts the function to the left once. This is #4.

4|x|

Multiplying by 4, a number greater than 1, stretches it. This is #2.


5 0
3 years ago
Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 o
zhenek [66]

Answer:

The p-value would be 0.0939

Step-by-step explanation:

We can set a standard t-test for the Null Hypothesis that H_0: 18.2\geq 17

The test statistic then takes the form

t=\frac{18.2-17}{3.9/\sqrt{15}}=1.317

with this value we then can calculate the probability that is left to the right of this value P(X>1.317). From theory we know that t follows a standard normal distribution. Then P(X>1.317)=0.0939 which is smaller than the p-value set by Breyers of 0.10

3 0
3 years ago
Convert the percent to a decimal<br> 24 1/2%
Ann [662]

Answer:

0.245

Step-by-step explanation:

24/1/2%=24.5%

=0.245

8 0
3 years ago
What is the solution to the equation 3/m+3-m/3-m=m^2+9/m^2-9
Bas_tet [7]

Answer:

  no solution

Step-by-step explanation:

If we subtract the left side of the equation, we get ...

  \dfrac{m^2+9}{m^2-9}-\dfrac{3}{m+3}+\dfrac{3}{3-m}=0\\\\\dfrac{m^2+9-3(m-3)-3(m+3)}{(m-3)(m+3)}=0\\\\\dfrac{m^2-6m+9}{(m-3)(m+3)}=0=\dfrac{(m-3)^2}{(m-3)(m+3)}\\\\\dfrac{m-3}{m+3}=0\quad\text{m$\ne$3}

This equation will equal zero only if m=3, which is disallowed because it makes the denominator zero. Thus, there is no solution.

7 0
3 years ago
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