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Elanso [62]
2 years ago
12

A salesperson earns a commission of $308 for selling $ 2200 in merchandise. Find the commission rate.

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0

Answer:$247

Step-by-step explanation

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Choose the inequality that illustrates this problem. Basil wants to buy his mother a gift and a gift bag. He bought her a pretty
VikaD [51]
He can only spend $4 on the bag
8 0
2 years ago
A submarine begins at -212 feet below sea level. If
enyata [817]

Answer:

Step-by-step explanation:

Ending depth = -287

Starting d<u>epth= -212</u>

Difference =      -75 feet

The submarine plans on dropping 15 feet a minute.

Time = displacement / time = -75/-15 = 5 minutes.

Answer: D

4 0
3 years ago
Which function in vertex form is equivalent to f(x) = x2 + x +1? f(x) = (x + one-quarter) squared + three-quarters f(x) = (x + o
a_sh-v [17]

The function in vertex form is f(x)=(x+\frac{1}{2})^{2}+\frac{3}{4} ⇒ 3rd answer

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

  • a is the coefficient of x²
  • (h , k) are the coordinates of the vertex point
  • h=\frac{-b}{2a} , wher b is the coefficient of x
  • k = f(h), that means value f(x) when x = h

∵ f(x) = x² + x + 1

∴ a = 1 , b = 1

∵ h=\frac{-b}{2a}

- Substitute the values of a and b to find h

∴ h=\frac{-1}{2(1)}

∴ h=\frac{-1}{2}

Substitute the value of x in f(x) by the value of h to find k

∵ f( \frac{-1}{2} ) = (\frac{-1}{2})^{2}+\frac{-1}{2}+1

∴ f( \frac{-1}{2} ) = \frac{1}{4}-\frac{1}{2}+1

∴ f( \frac{-1}{2} ) = \frac{3}{4}

- k is the value of f(x) when x = h

∵ h = \frac{-1}{2}

∴ k = f( \frac{-1}{2} )

∴ k = \frac{3}{4}

Substitute the values of a, h and k in the vertex form

∵ f(x) = a(x - h)² + k

∵ a = 1 , h=\frac{-1}{2} , k=\frac{3}{4}

∴ f(x)=1(x-\frac{-1}{2})^{2}+\frac{3}{4}

∴ f(x)=(x+\frac{1}{2})^{2}+\frac{3}{4}

The function in vertex form is f(x)=(x+\frac{1}{2})^{2}+\frac{3}{4}

Learn more:

You can learn more about the quadratic functions in brainly.com/question/9390381

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
50 Points!! Paul graphs the line of the equation y = 2 x + 6. Stuart graphs a line with the same x -intercept and a y -intercept
Ivanshal [37]

Paul       y = 2x+6

x intercept when y=0

0 = 2x+6

-6 = 2x

divide by 2

x=-3


Stuart     y = mx+2    (y intercept is 2)

one of the points is (-3,0)  the same x intercept)

             0 = m(-3) +2

subtract 2 from each side

-2 = -3m

divide by -3

2/3 =m

 y = 2/3 x+2


Paul       y = 2x+6

Stuart     y = 2/3 x+2  


The slope of Paul's line is greater than Stuart's line.  


8 0
3 years ago
4. Five times the sum of 3 times a number and -5
Tema [17]

Answer:

5(3x-5)

Step-by-step explanation:

This might be wrong!

8 0
3 years ago
Read 2 more answers
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