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Vladimir [108]
3 years ago
12

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x+4)2−1 ?

Mathematics
1 answer:
spayn [35]3 years ago
6 0
A horizontal translation 4 units to the left
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Which of the following expressions shows how to rewrite 4 - 5 using the addtive inverse and displays the expression correctly on
Evgesh-ka [11]

Answer: 4 - 5 = 4 + (-5) = -1

Step-by-step explanation:  You have to make the 5 into a negative number using parenthesis and do the math.

5 0
3 years ago
Read 2 more answers
Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.
Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or)  part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

#SPJ4

4 0
1 year ago
Add or subtract (m^2-m+3)+(m-1)?
uysha [10]
First You would rewrite the equation:
M^2-m+3+m-1
Second: rewrite equation to Combine like terms
M^2-m+m+3-1
Answer:
M^2+2
4 0
2 years ago
Read 2 more answers
7 1/4 × 2²+(8 1/2-2)÷3<br>giving brainliest
lawyer [7]

Answer:

187/6

Step-by-step explanation:

Simplify the following:

(7 + 1/4) 2^2 + (8 + 1/2 - 2)/3

2^2 = 4:

(7 + 1/4) 4 + (8 + 1/2 - 2)/3

Put 7 + 1/4 over the common denominator 4. 7 + 1/4 = (4×7)/4 + 1/4:

(4×7)/4 + 1/4 4 + (8 + 1/2 - 2)/3

4×7 = 28:

(28/4 + 1/4) 4 + (8 + 1/2 - 2)/3

28/4 + 1/4 = (28 + 1)/4:

(28 + 1)/4×4 + (8 + 1/2 - 2)/3

28 + 1 = 29:

29/4×4 + (8 + 1/2 - 2)/3

29/4×4 = (29×4)/4:

(29×4)/4 + (8 + 1/2 - 2)/3

(29×4)/4 = 4/4×29 = 29:

29 + (8 + 1/2 - 2)/3

Put 8 + 1/2 - 2 over the common denominator 2. 8 + 1/2 - 2 = (2×8)/2 + 1/2 + (2 (-2))/2:

29 + ((2×8)/2 + 1/2 + (2 (-2))/2)/3

2×8 = 16:

29 + (16/2 + 1/2 + (2 (-2))/2)/3

2 (-2) = -4:

29 + (16/2 + 1/2 + (-4)/2)/3

16/2 + 1/2 - 4/2 = (16 + 1 - 4)/2:

29 + ((16 + 1 - 4)/2)/3

16 + 1 = 17:

29 + ((17 - 4)/2)/3

| 1 | 7

- | | 4

| 1 | 3:

29 + (13/2)/3

13/2×1/3 = 13/(2×3):

29 + 13/(2×3)

2×3 = 6:

29 + 13/6

Put 29 + 13/6 over the common denominator 6. 29 + 13/6 = (6×29)/6 + 13/6:

(6×29)/6 + 13/6

6×29 = 174:

174/6 + 13/6

174/6 + 13/6 = (174 + 13)/6:

(174 + 13)/6

| 1 | 7 | 4

+ | | 1 | 3

| 1 | 8 | 7:

Answer: 187/6

3 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through (3,-4) and (-2,6)
Phoenix [80]

Answer:

slope = -2

Step-by-step explanation:

Slope formula: \frac{y2-y1}{x2-x1}

Given points:

(3 -4) = (x1, y1)

(-2, 6) = (x2, y2)

To find the slope, input the given points into the slope formula:

\frac{6-(-4)}{-2-3}

Solve:

6 - (-4) = 6 + 4 = 10

-2 -3 = -5

Simplify:

\frac{10}{-5}=\frac{2}{-1}=-2

The slope is -2.

5 0
3 years ago
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