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Ivahew [28]
3 years ago
13

Subtract. (7x2 + 6) - (2x-5)

Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer: 7x2−2x+11

Step-by-step explanation:

Distribute the Negative Sign:

7x2+6+−1(2x−5)

7x2+6+−1(2x)+(−1)(−5)

7x2+6+−2x+5

Combine Like Terms:

7x2+6+−2x+5

(7x2)+(−2x)+(6+5)

7x2+−2x+11

Annette [7]3 years ago
4 0

Answer:

25-2x

Step-by-step explanation:

(7x2+6)-(2x_5)

(14+6)-2x+5

20_2x+5

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What do algebraic expressions and numeric expressions have in common
siniylev [52]

<u>Answer</u>:

  • A numerical expression is an expression made up only of numbers and operations but an expression written with a variable in it, is called a variable expression. Both a numerical expression and a variable expression can include powers.

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5 0
2 years ago
Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5
Gennadij [26K]

Answer:

Points J and K could be located at:

J(2,2)

K(6,2)

Step-by-step explanation:

Consider the vertices have a x and y coordinate:

A: x coordinate=-7  y coordinate=-2

B: x coordinate=1  y coordinate=-2

C: x coordinate=1  y coordinate=-8

D: x coordinate=-7  y coordinate=-8

G: x coordinate=2  y coordinate=5

H: x coordinate=6  y coordinate=5

Then it is possible to calculate the distance between the x and y coordinates:

x coordinate of Vertices AB:

x coordinate of B- x coordinate of A=1-(-7)=8

The distance between A and B is 8

y coordinate of Vertices AC:

y coordinate of A- y coordinate of C=-2-(-8)=6

The distance between A and C is 6

Then we know that the side AB of Rectangle ABCD measures 8 and the side AC, measures 6.

Repeat the analysis  with Rectangle GHJK. In this case, is only possible to calculate the distance with x coordinate.

x coordinate of Vertices GH:

x coordinate of H- x coordinate of G=6-(2)=4

The distance between G and H is 4

We can see that the distance in x of the Rectangle ABCD is 8, and the distance in x of the Rectangle GHJK is 4, it means that <em>the measure of ABCD is twice GHJK.</em>

Then, if the distance in y coordinate of Vertices AC is 6, we could say that the distance in<em> y coordinate of Vertices GJ is 3.</em>

<em />

Points J and K could be located at:

J(2,2)

K(6,2)

3 0
3 years ago
Use the definition of a derivative to find f’(x).
tatyana61 [14]

Answer:

f'(x) = -\frac{9}{x^2}

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x)  = $\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $  \hspace{0.2cm}

        = $\lim_{h\to 0} \frac{\frac{9}{x+h}  - \frac{9}{x} }{h}  =  \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} =  \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)}  =  $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$

7 0
3 years ago
PLEASE HELP ME, I HAVE BEEN WAITING FOR A DAAYY!! How old am i if 400 reduced by 3 times my age is 244?
Vlad1618 [11]

Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

4 0
2 years ago
in recent years 17.7% of households watched the finals of a popular reality series. There are 110.2 million households in the Un
prisoha [69]
17.7%            x
-------- = -----------------
100%     110,200,000

If 110.2 million households equals 100%, then you just cross multiply to solve for what households are 17.7% - which is 19,505,400.
6 0
3 years ago
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