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s2008m [1.1K]
3 years ago
14

9. Khalid drove 66 miles on 3 gallons of gasoline. Which is the number of miles he could drive on 12 gallons of gasoline?

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

264 miles

Step-by-step explanation:

Find the unit rate (mpg):

 66 miles

----------------- = 22 mpg

 3 gallons

On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles

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Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

The formula to calculate the slope is the following:

m=\frac{y_2-y_1}{x_2-x_1}

The points are (-6, -9/2) and (4,3), replacing:

m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}

The equation is:

y=\frac{3}{4}x

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

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8 months ago
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Nady [450]

Answer:

77.98

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Step-by-step explanation:

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3 years ago
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The photo below shows -

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Given f(x) = log2x, which of the functions below represents g(x) resulting from reflecting the graph of f(x) in the x-axis and s
enot [183]

Answer:

g(x) = log(2x+2)

Step-by-step explanation:

<em>The question has missing options ; However, the question is still solvable</em>

Given

f(x) = log2x

Direction = 2 units left

Required

Shift the function by 2 units in the x axis

The general format of shifting a function along the x axis (by the left) is as follows

g(x) = log(ax+c)

Where c represents the direction;

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Since f(x) = log2x, then

g(x) = log(2x+2)

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2 years ago
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100 POINTS! MUST HAVE CORRECT ANSWER AND EXPLAIN YOUR WORK!
leonid [27]

Answer:


Step-by-step explanation:

we have to find the dot product here.

From the formula of dot product of vectors,

we know-

if  X=<a,b,c>   and    Y=<d,e,f>

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Here, we get

v=<2 , -8 , -8>

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So,  

v . w= -12

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3 years ago
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