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2 years ago

3x - 51y + 24 and 3(x- 17y + 8)

Mathematics

1 answer:

dlinn [17]2 years ago

3 0

Answer:

They are equal if that’s what you’re asking

Step-by-step explanation:

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Please help Which expression is equal to...?

Margarita [4]

Answer:

the last one $-\sqrt{5}$

Step-by-step explanation:

3 0

3 years ago

Is it possible for two numbers to have a difference of 8 and a sum of 1?

topjm [15]

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = $\frac{-7}{2}$

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

7 0

3 years ago

Two equations are given below:

ch4aika [34]

Rewrite the equations;
m+4n=8
m-n=-2

Eliminating m gives;
5n=10
n=2
Replacing for n in the first equation;
m+4(2)=8
m=8
Answer;
(0, 2)

6 0

3 years ago

I need help on #10. very confused

RideAnS [48]

Step-by-step explanation:

$\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}$

$\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)$

$\:\:\:\:\: \displaystyle= 2x$

3 0

2 years ago

One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic cen

aliya0001 [1]

Answer:

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions $V(r)= \pi r^{3}$ and $C(V)=3.2V$ , where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

$C(V(r))=3.2(\pi r^{3} )$

Therefore, the right answer is the last choice.

8 0

3 years ago