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Kisachek [45]
3 years ago
8

Ryan earns x dollars every seven days. Write an expression for how much Ryan earns in one day. Ryan’s spouse Lee is paid twice a

s much as Ryan. Write an expression for how much Lee earns in one day. Write an expression for their combined daily earnings.
Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

Step-by-step explanation:

R=x/7 let's say R is what Ryan earned, and so he earns x dollars every seven days

L=2(R)

L=2(x/7)Let's say L is what Lee earned, she earned twice as much as Ryan so 2(x/7)

Total=2(x/7)+x/7

Total=3(x/7)   the total earnings is the sum of x/7 and 2x/7 is 3x/7

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What is the solution set for -4x+10>5 x+55
maw [93]

Answer: x<-5

Step-by-step explanation:

Isolate the variable then divide both sides

4 0
3 years ago
What value of k will make this expression equal to 0? <br><br> b • 3.8 • 2.72 • (k – 4)
g100num [7]

4-4=0

anything x 0=0

your answer is 4

Hope this helps!

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3 years ago
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Lucy is on her way home in her car. Her drive is 18 miles long. She has finished one-third of the drive so far. How far has she
aksik [14]

Answer:

6 miles

Step-by-step explanation:

1/3 of 18 is 6 since 18 / 3 is 6

4 0
3 years ago
Read 2 more answers
15. Rewrite the given functions in
Lisa [10]

15. The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17. The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Step-by-step explanation:

Any quadratic function has:

1. A vertex form form f(x) = a(x - h)² + k, where (h , k) are the

   coordinates of its vertex point

2. A standard form g(x) = ax² + bx + c, where a , b , c are constant and

   a is the coefficient of x², b is the coefficient of x and c is the

    y-intercept

3. the x-coordinate of the vertex point h = \frac{-b}{2a} and

    k = f(h)

15.

∵ f(x) = x² + 8x - 10

∴ a = 1 and b = 8

∵ h = \frac{-b}{2a}

∴ h = \frac{-8}{2(1)}=-4

∴ h = -4

∵ k = f(h)

∴ k = f(-4)

- Substitute x by -4 in f(x)

∴ k = (-4)² + 8(-4) - 10

∴ k = 16 - 32 - 10

∴ k = -26

∴ f(x) = (x - -4)² + (-26)

∴ f(x) = (x + 4)² - 26

The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17.

∵ g(x) = (x + 3)² - 4

- Lets solve the power 2 of the bracket:

 (1st + 2nd)² = (1st)(1st) + 2(1st)(2nd) + (2nd)(2nd)

∵ (x + 3)² = (x)(x) + 2(x)(3) + (3)(3)

∴ (x + 3)² = x² + 6x + 9

∴ (x + 3)² - 4 = (x² + 6x + 9) - 4

∵ 9 - 4 = 5

∴ (x + 3)² - 4 = x² + 6x + 5

The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Learn more:

You can learn more about the vertex form of quadratic function in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
Solve for x.<br><br> Help please
MAVERICK [17]
X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
4 0
3 years ago
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