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tangare [24]
3 years ago
5

Help please show work

Mathematics
2 answers:
Artyom0805 [142]3 years ago
6 0
D is the correct answer I think
lapo4ka [179]3 years ago
5 0
I’m pretty sure it’s D !
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Rewrite 4/5 and 7/9 so they have a common denominator
sveticcg [70]

Answer:

36/45 and 35/45

Step-by-step explanation:

5 and 9's least common denominator is 45 and to get to that you need to multiply both top and bottom of how to get to 45. How I got to 45 the easiest way is to keep multiplying both numbers until the reach the same product. In this case for 4/5, you multiply it by 9 for top and bottom. And for 7/9, it would be multiplying by 5 for top and bottom which will get you both of the answers. Hopefully this answers your question.

7 0
3 years ago
The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city
Tresset [83]

The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

8 0
3 years ago
Moving at its top speed a sloth would take 20 hours to go 3 miles on land. What’s that in miles per hour
olchik [2.2K]

Answer:

.15 mph

Step-by-step explanation:

3 miles/ 20 hours or 3/20

6 0
3 years ago
Read 2 more answers
A teacher plans to buy air fresheners that cost $3.50 each. If the teacher can spend no more than $10 on the air fresheners and
iris [78.8K]

Answer:

Step-by-step explanation:

We need to create an equation to represent how many air fresheners the teacher can buy.

Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.

x = number of air fresheners

($10 + $3) / $3.50 = x        can be written as $13/$3.50 = x

We add $10 and $3 because that gives us the total amount she has to spend.

We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.

In this case.

$13/$3.50 = x

3.71 = x   BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.

8 0
3 years ago
Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2)
MrMuchimi

Answer:

y = -2x + 2

General Formulas and Concepts

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-1, 4)

y-intercept (0, 2)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{2-4}{0+1}
  2. Subtract/Add:               m=\frac{-2}{1}
  3. Divide:                          m=-2

<u>Step 3: Write linear equation</u>

y = -2x + 2

4 0
3 years ago
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