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2 years ago

Question 1(Multiple Choice Worth 1 points)

Mathematics

2 answers:

Bas_tet [7]2 years ago

6 0

Answer:

y = −4x

hope this helps

lubasha [3.4K]2 years ago

5 0

If you can't tell "by inspection" or by computing the change in y (-16) divided by the change in x (4) as -4, then you can always check to see which of the equations predicts the proper value for y.

1) (1/4)*(-4) = -1, not 16
2) 4*(-4) = -16, not 16
3) (-1/4)*(-4) = 1, not 16
4) -4*(-4) = 16 . . . . as required

The 4th selection is appropriate.

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Nonamiya [84]

Combine the terms by multiplying into a single fraction.

$\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }$

Find the common denominator.

$\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14 }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14 }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14 }$

Combine the multiplied terms into a single fraction

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14 }$

Find the common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4} }$

Combine fractions with the lowest common denominator.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4} }$

Multiply the numbers.

$\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4} }$

Eliminate the denominators of the fractions.

$\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4} }$

Cancel the multiplied terms that are in the denominator.

$\bf{2(5x-14)=3x+56}$

To distribute.

$\bf{10x-28=3x+56 }$

Add 28 to both sides.

$\bf{10x-28+28=3x+56+28 }$

Simplify

$\bf{10x=3x+84 }$

Subtract 3x from both sides.

$\bf{10x-3x=3x+84-3x }$

Simplify

$\bf{7x=84 }$

Divide both sides by the same factor.

$\bf{x=\dfrac{84}{7} }$

Simplify

$\bf{x=12 \ \ \ === > \ \ \ Answer}$

↓

<h3>Verification</h3>

Let x=12.

$\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3\times12}{4}+14 }$
$\bf{30-7=\dfrac{36}{4}+14 }$
$\bf{30-7=9+14 }$
$\bf{23=9+14 }$
$\bf{23=23}$

Checked ✅

3 0

2 years ago

Steve has 2 \frac{1}{2 }

Jobisdone [24]

Noo........................b

3 0

2 years ago

Read 2 more answers

According to the graph, what is the value of the constant in the equation

wolverine [178]

The question is missing the graph. So, it is attached below.

Answer:

(D) 3.2

Step-by-step explanation:

Given:

A graph of height versus width.

The equation given is:

Height = constant × Width

Rewriting in terms of 'constant'. This gives,

$\textrm{Constant}=\frac{Height}{Width}$ ------------- (1)

The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.

The four points plotted on the line are:

$(x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4)\ and\ (3, 9.6)$ .

Now, any point will satisfy equation (1).

Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,

$\textrm{Constant}=\frac{Height}{Width}\\\\\textrm{Constant}=\frac{1.6}{0.5}=3.2$

Also, we observe that for all the remaining points,

$\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2$ .

Hence, the value of the constant is 3.2.

Option (D) is correct.

4 0

3 years ago

Is the value of 6 in 26.495 is 10 times as much of the value of the 6 in 17.64

Burka [1]

Dear Pleaseanswerback, the value of 6 in 26.495 is greater than the 6 in 17.64 because the 6 in 26.495 is 6, and the 6 in 17.64 is 0.6. 6 is greater than 0.6 so the value of 6 in 26.495 is greater.

6 0

3 years ago

Read 2 more answers

6) The scatter plot below shows the temperatures (y), in degrees Fahrenheit (°F), that were recorded at different altitudes (x),

prohojiy [21]

Answer:

y = − (7 /2) x + 60 equation could represent the line of best fit for the temperatures, in degrees Fahrenheit, based on the altitudes, in thousands of feet

Step-by-step explanation:

Given:

A plot for temperature and altitude

(Refer the attachment) .......FOR GRAPH

To Find:

Correct relationship between them

Solution:

By using given relationship as we can conclude.

1)y=-5x+70:

Put y=0 then

5x=70

x=70/5

x=14

This value dont corresponds when y=0 in graph

2) y=-10x+70

put y=0 then

10x=70

x=7

This value dont corresponds when y=0 in graph very less than original value.

3)y=-(7/2)x+60

put y=0 then

(7/2)x=60

7x=120

x=120/7

x=17.14

This value corresponds when y=0 in graph

4)y=-(9/2)x+60

Put y=0 then

(9/2)x=60

9x=120

x=120/9

x=13.33

This value dont corresponds when y=0 in graph which much less than original value.

7 0

3 years ago