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3 years ago

Simplify. –7 + 2(x – 3) A. x - 10 B. x - 13 C. 2x - 10 D. 2x - 13

2 answers:

7 0

$-7+2(x-3)\\use\ distributive\ property:a(b+c)=ab+ac\\\\-7+2(x)+2(-3)=-7+2x-6\\use\ commutative\ property:a+b=b+a\\\\2x+(-7)+(-6)=\boxed{2x-13}\to\boxed{D}$

butalik [34]3 years ago

6 0

$-7 + 2(x -3) =-7+2x-6=2x-13$

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Help please!!!

katovenus [111]

Answer:

x = $\frac{7+\sqrt{47}\times i }{4}$

Step-by-step explanation:

<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>

x + 2y = 6 ---------------(1)

y - 5 = $(x-2)^{2}$ ---------------(2)

y = $(x-2)^{2}$ + 5 ---------------(3)

Substitute (3) in (1) ,

x + 2( $(x-2)^{2}$ + 5 ) = 6

$(a + b)^{2}$ = $a^{2} + 2ab + b^{2}$

x + 2( $x^{2} - 4x + 4$ + 5 ) = 6

$2x^{2} - 7x + 12=0$ --------------(4)

The roots of the quadratic equation $ax^{2} +bx+c$ is

x = $\frac{(-b) + \sqrt{(-b)^{2}-4 \times ac } }{2 \times a}$ -----------(5)

According to equation (5),solution of (4) is

x = $\frac{7 + \sqrt{(-7)^{2}-4 \times 24 } }{2 \times 2}$

x = $\frac{7+\sqrt{49-96}}{4}$

x = $\frac{7+\sqrt{47}\times i }{4}$

4 0

3 years ago

The new pool cover is 35 feet long and 13 feet wide with the overhang.

earnstyle [38]

Answer:

455

Step-by-step explanation:

multiply the width by the length

3 0

3 years ago

HELP! WILL MARK BRAINLIEST WITH A EXPLANATION!!!!please & thank u

mamaluj [8]

Answer:

The answer is A

Step-by-step explanation:

8 0

3 years ago

Determine the number of solutions the system has. 2x = 2y -6 y = -x-1

guapka [62]

Answer:

(-2,-3) / one solution

Step-by-step explanation:

If you find my answer helpful, please consider marking it Brainliest

And if you still have any questions about the way I solved it, don't hesitate to ask me in the comments

5 0

3 years ago

Tracy recieves payments of $X at the end of each year for n years. The present value of her annuity is 493. Gary receives paymen

vladimir1956 [14]

Answer:

v = 1/(1+i)

PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493

PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748

PV(G)/PV(T) = 2748/493

{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493

3[1-v^(2n)]/(1-v^n) = 2748/493

Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)

3(1 + v^n) = 2748/493

1 + v^n = 2748/1479

v^n = 1269/1479 ~ 0.858

Step-by-step explanation:

6 0

3 years ago