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3 years ago

Find the value of x that makes the equation true 3(-2 + 1 ) + 5 = 3x -4 - 5x

Mathematics

1 answer:

miv72 [106K]3 years ago

6 0

Answer:

$x = - 3$

Step-by-step explanation:

Reason

$3( - 2 + 1) + 5 = 3x - 4 - 5x \\ open \: the \: bracket \: at \: the \: lhs \\ - 6 + 3 + 5 = 3x - 4 - 5x \\ 2 = 3x - 4 - 5x \\ collect \: like \: terms \\ 2 + 4 = 3x - 5x \\ 6 = - 2x \\ 2x = - 6 \\ divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3$

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Eli drove 856 miles on 29.4 gallons of gas what was his gas mileage rounded to the nearest mpg?

vekshin1

Answer: 29 miles per gallon.

Reasoning: 856 miles/29.4 gallons = 29.1156462585 (rounded to the nearest mile = 29)

Hope this helped!

5 0

3 years ago

Read 2 more answers

the table below shows the function of f determine the value of f(3) that will lead to an average rate of change of 19 over the i

3241004551 [841]

ANSWER

$f(3) = - 25$

EXPLANATION

We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].

The average rate of change of f(x) over the interval [a,b]:

$= \frac{f(b) - f(a)}{b - a}$

If the average rate of change over the interval [3, 5] is 19, then;

$\frac{f(5) - f(3)}{5 - 3} = 19$

From the to table f(5)=13

$\frac{13 - f(3)}{2} = 19$

$13 - f(3) = 19 \times 2$

$13 - f(3) = 38$

$- f(3) = 38 - 13$

$- f(3) = 25$

$f(3) = - 25$

7 0

3 years ago

Given: AB || CD

jarptica [38.1K]

First, find slope of point A and B using slope formula:
y2-y1 = 7-0 = -7
x2-x1 3-8 5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=-7(x-3) (I used point B here)
5
y=-7x +56 so the y-intercept is 56. Hurray! Part 1 down!
 5 5 5

Now to answer part 2. Since AB ll CD, they have the same slope: -7
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
y-y1=m(x-x1)
y-5=-7(x-5)
 5
y=-7x + 12 Yay! That's the answer to part 2; the equation of line CD
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3 0

3 years ago

Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find

antiseptic1488 [7]

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2 x0= (-2+4)/2=1

y0=(yA+yC)/2 y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2 1= (1+xD)/2 xD=1

y0= (yB+yD)/2 2= (0+yD)/2 yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

6 0

2 years ago

Dante has 27 coins that are all dimes and quarters. The value of the coins is $4.35. How many dimes and how many quarters does D

vivado [14]

He has 11 quarters and 16 dimes
25*11 is 275 + 170 is 435.

8 0

3 years ago

Read 2 more answers