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Sunny_sXe [5.5K]
2 years ago
5

Select any equations that have the same solution set as:

Mathematics
1 answer:
aliya0001 [1]2 years ago
8 0

Answer: 6+4x=26, 4x=20

Step-by-step explanation: 6+4x=20 is the initial equation but completely multiplied by two, so you can know without solving that it is equivalent.

If you solve the equation, 2x+3=13 (subtract 3 from both sides)

2x=10 (divide both sides by 2)

x equals 5.

if you plug in 5 as x to 4x=20, you get 20=20, which is a true statement, so this choice is also correct. You could also solve to prove x equals 5 in this equation as well. Divide 20 by 4 and you get x=5.

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A line passes through (-2,7) and had a slope of -1
balu736 [363]

Answer:

y=-x+5 if parallel and perpendicular

if needed in point slope form : y-7 = -1(x+2)

Step-by-step explanation:

4 0
3 years ago
Question 16 (5 points)
dimulka [17.4K]

Answer:

D. x=-3/2.

Step-by-step explanation:

4x÷2x=-3

2x=-3

x=-3/2

4 0
3 years ago
Helen is a secretary and earns $10.82 per hour she worked 38 hours last week , what is her straight-time pay?
NikAS [45]

Answer:

Answer is : $411.16

Step-by-step explanation:

How much she earns per hour which is $10.82 times by the total hours she have worked 38h then you get the answer which is $411.16

$10.82 X 38 hours = $411.16 total

3 0
3 years ago
How many ounces of 15% alcohol solution must be mixed with 11 ounces of a 20% alcohol solution to make 16% alcohol solution
Elena-2011 [213]

Answer:

44 ounces

Step-by-step explanation:

Begin by setting up your equation in the following format:

(Percent)(Amount) + (Percent)(Amount) = (Percent)(Amount + Amount)

In this case, your equation should look like this:

(0.15)(x) + (0.20)(11) = (0.16)(x + 11)

where x stands for the number of ounces of the 15% alcohol solution needed.

Next, we can begin simplifying to solve for x. Your work should look similar to this:

(0.15)(x) + (0.20)(11) = (0.16)(x + 11)

0.15x + 2.2 = (0.16)(x + 11)

~ Multiply both sides by 100 to eliminate all of the decimals ~

15x + 220 = 16(x + 11)

15x + 220 = 16x + 176

15x = 16x - 44

-x = -44

x = 44

This means that 44 ounces of 15% solution must be mixed with 20% solution to make 16% solution

~Hope this Helps!~

7 0
3 years ago
Find the linear approximation of the function g(x) = 3 1 + x at a = 0. g(x) ≈ Correct: Your answer is correct. Use it to approxi
EleoNora [17]

Answer:

3.296x+3

2.835

3.330

Step-by-step explanation:

g(x) = 3^{1+x}

Let the linear approximation be L(x) at a = 0. This is given by

L(x) = g(a) + g'(a)(x-a)

g'(x) is the derivative of g(x). To find this, we use the form

If f(x) = a^x, then f'(x) =a^x\ln a

By doing this and applying chain rule for the power (which is a function of x), we have

g'(x) = 3^{1+x}\ln 3

Then

g'(0) = 3^{1+0}\ln 3 = 3.296

Also g(0) = 3^{1+0} = 3

Hence L(x) = 3+(x-0)\times3.296 = 3.296x + 3

For 3^{0.95}, 1+x = 0.95 and x=-0.05

Using this in L(x),

3^{0.95} = 3.296(-0.05) + 3 = 2.835

For 3^{1.1}, 1+x = 1.1 and x=0.1

Using this in L(x),

3^{1.1} = 3.296(0.1) + 3 = 3.330

7 0
4 years ago
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