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3 years ago

Find the difference: (6y^3 + 17y − 3) − (4y^3 − 11y + 9)

Mathematics

1 answer:

tamaranim1 [39]3 years ago

6 0

(6y³ + 17y - 3) - (4y³ - 11y + 9) =
6y³ + 17y - 3 - 4y³ + 11y - 9 =
2y³ + 28y - 12

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Check picture to see question (no guessing)

iVinArrow [24]

The answer is D. y=2/3x

If you take the coordinates of each points of the line, (-3, -2) and (3, 2) and use the formula to find the slope, then putting it into formula of a line, you get

$y= \frac{2}{3}x$

5 0

3 years ago

2c +3 = 3c - 4 Help me please

VashaNatasha [74]

Hey there!

Solve the equation:

Answer :

c = 7 ✅

Explanation

2c + 3 = 3c - 4

>> Subtract 3 from both sides :

2c + 3 - 3 = 3c - 4 - 3

2c = 3c - 7

>> Substrat 3c from both sides :

2c - 3c = 3c - 7 - 3c

-c = -7

>> Divide each side by -1 :

-c / -1 = -7 / -1

c = 7

Let's verify:

2c + 3 ⇔ 2(7) + 3 ⇔ 14 + 3 ⇔ 17

3c - 4 ⇔ 3(7) - 4 ⇔ 21 - 4 ⇔ 17

Therefore, your answer is c = 7 .

Mor about equation :

brainly.com/question/27353929

Have a good day :)

6 0

2 years ago

Read 2 more answers

The measures of two complementary angles are m angle 1 = (10x+7) and m angle 2=(9x-12) find the measures of both angles

USPshnik [31]

Answer:

m<1 = 57°

m<2 = 33°

Step-by-step explanation:

To find the numerical measure of both angles, let's come up with an equation to determine the value of x.

Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.

Equation we can generate from this, is as follows:

(10x + 7)° + (9x - 12)° = 90°

Solve for x

10x + 7 + 9x - 12 = 90

Combine like terms

19x - 5 = 90

Add 5 to both sides

19x = 90 + 5 (addition property not equality)

19x = 95

Divide both sides by 19

x = 5

m<1 = (10x +7)°

Replace x with 5

m<1 = 10(5) + 7 = 50 + 7 = 57°

m<2 = (9x - 12)

Replace x with 5

m<2 = 9(5) - 12 = 45 - 12 = 33°

5 0

3 years ago

5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicle

ziro4ka [17]

Answer:

The answer is "99.82% and 86.99%".

Step-by-step explanation:

In point a:

$=P(X < 45)\\\\= P(Z < \frac{45-29.09}{5.46}) \\\\=P(Z < 2.9139)\\\\=0.9982\\\\=99.82\%$

In point b:

$=P(X >17)\\\\= P(Z > \frac{17-22.37}{4.77}) \\\\=P(Z > -1.1258)\\\\=0.8699\\\\=86.99\% \\\\$

5 0

3 years ago

Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago