All categories

3 years ago

How to do: 4(x+7)=2(x+7)

Mathematics

2 answers:

ioda3 years ago

8 0

In this question, you're solving for x.

Solve for x:

4(x+7) = 2(x+7)

<em>use distributive property</em>

4x + 28 = 2x + 14

<em>subtract 2x from both sides</em>

2x + 28 = 14

<em>subtract 28 from both sides</em>

2x = -14

<em>divide both sides by 2</em>

x = -7

andre [41]3 years ago

3 0

4(x+7) becomes 4x+28 you multipli the 4 in parentheses ans 2(x+7) becomes 2x+14

4x+28=2x+14 you move the x termes to the left and other numbers to the right look:

4x-2x=14-28 when you change the sides always change the sign +or-
2x=-14
2x/2=-14/2
X=-7

You might be interested in

Sarah says that 26 divided by 8 equals 14 divided 4 because both are "3 R2. show her mistake using decimal division

mezya [45]

26/8=3.25
14/4=3.5
You must show your work.

8 0

3 years ago

I NEED HELP!!!

andrey2020 [161]

Answer:

<h2>B. The amount of fuel used was lowest at speeds around 60km/h.</h2>

Step-by-step explanation:

The decreasing part is from (20,13) to (60,6), which gives an average rate of

$r=\frac{6-13}{60-20}=-\frac{7}{40}=-0.175$

Then, we have an increasing part from (60,6) to (120,10), which gives an average rate of

$r=\frac{10-6}{120-60}=\frac{4}{60}=0.067$

Basically, at 60 km/h the fuel used was 6 liters per 100 kilometers. Notice that the other velocities make the car to use more liters per kilometers.

Therefore, the amount of fuel used was lowest at speeds around 60 km/h.

6 0

3 years ago

What is a developing nation?

SCORPION-xisa [38]

Answer:

C.) (I think you meant to put c here) State with little or no economy

Step-by-step explanation:

This one was very confusing because I was beginning to think the answer could possibly be D as well. However, based on background knowledge of many developing countries in the previous century and also the present, many nations are still classified as developing despite the states being into conflict. Therefore revealing the states don't have to be working together in order to build an economy in order to be classified as a developing nation.

Now without a doubt, I do recall that a developing nation has little to no economy. That statement surely is more accurate due to it providing a fact rather than a hypothesis.

6 0

3 years ago

Read 2 more answers

Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).

ioda

Answer:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}. We perform synthetic division using the given -7 as divisor:

-7 / 4 11 -104 105

-28 119 -105

-----------------------------------

4 -17 15 0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x). The coefficients of the quotient (above) are {4, -17, 15}. Let's try factoring the corresponding polynomial again using synthetic division. Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5 / 4 -17 15

20 15

-------------------------

4 3 30 No, the remainder is 30 and so 5 is not a

root of this quadratic. Try the divisor 3 instead:

3 / 4 -17 15

12 -15

---------------------------

4 -5 0 Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5). Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.

8 0

3 years ago

10. Polygon WXYZ has vertices W(-1.5, 1.5),

vovikov84 [41]

Answer:

See explanation

Step-by-step explanation:

Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).

Find the slopes of all sides:

$WX:\ \dfrac{1.5-1.5}{6-(-1.5)}=\dfrac{0}{7.5}=0$ - horizontal line

$XY:\ \dfrac{-4.5-1.5}{6-6}=\dfrac{-6}{0}$ - slope undefined, so the line is vertical

$YZ:\ \dfrac{-4.5-(-4.5)}{-1.5-6}=\dfrac{0}{-7.5}=0$ - horizontal line

$ZW:\ \dfrac{1.5-(-4.5)}{-1.5-(-1.5)}=\dfrac{6}{0}$ - slope undefined, so the line is vertical

Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle

6 0

3 years ago