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jeka94
2 years ago
14

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g

if g(x) = f(x) − 11?
Mathematics
1 answer:
bogdanovich [222]2 years ago
4 0

Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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The ratio of men to women working for a company is 2 to 3 . If there are 120 employees total, how many women work for the compan
gtnhenbr [62]
I think the answer is 20
3 0
3 years ago
A newspaper carrier has $5.40 in change. He has six more quarters than dimes but five times as many nickles as quarters. How man
BigorU [14]
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents

Add the number of each coin and set it equal to the total in cents.


x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents

x + (x + 6) + (5 * x) + (5 * 6)= 540

x + (x + 6) + 5x + 30= 540
combine like terms

7x + 36= 540
subtract 36 from both sides

7x= 504
divide both sides by 7

x= 72 dimes

x + 6= 78 quarters

5(x + 6)= 390 nickels


CHECK
72 + 78 + 390= 540
540= 540


ANSWER: There are 72 dimes, 78 quarters and 390 nickels.

Hope this helps! :)
5 0
2 years ago
Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45%
Juli2301 [7.4K]

Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

<em>Let x = the total number of seedlings</em>

<em />15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580

Hence, three boys plant 580 seedlings altogether.

7 0
2 years ago
I really need help quick
Natali [406]

Answer:

\sf x=2+\sqrt{6},\:x=2-\sqrt{6}

Explanation:

\sf y = x^2 -4x

given that y = 2

\sf x^2 -4x = 2

\sf x^2 -4x -2 = 0

using quadratic formula:

\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}  \    \ \ when  \   ax^2 + bx + c = 0

\rightarrow \sf x_{1,\:2}=\dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \left(-2\right)}}{2\cdot \:1}

\rightarrow \sf x_1=\dfrac{-\left(-4\right)+2\sqrt{6}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{6}}{2\cdot \:1}

\rightarrow \sf x=2+\sqrt{6},\:x=2-\sqrt{6}

in decimals:

\rightarrow \sf x=4.45 , \ -0.45

5 0
2 years ago
26)A $45.00 purchase in Iowa totals $47.70 with tax and a $35.00 purchase in tennessee totals$37.70 with tax which state has a g
babunello [35]
First, 47.7-45 to get price increase by tax for I which is 2.7. next divide 2.7 by 45 and multiply that by 100 to get a sales tax of 6%. Next 37.7-35 is once again 2.7. divide 2.7/35 and multiply times 100 to get a sales tax of 7.7 for T. T=7.7% and I=6% so since 7.7>6, therefore Tennessee has a greater sales tax then Iowa
6 0
3 years ago
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