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3 years ago

-8x^2-3x+5+2x^2+7x-5

1 answer:

8 0

-6x^2+4x

my reasoning:
eliminate the opposites (5 & -5)
collect the like terms (-8x^2 & + 2x^2)
collect the like terms again (-3x &+7x)

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PLEASEE HELPP

stiv31 [10]

Answer:

Step-by-step explanation:

From the given table, we have:

$y_{2}=4x^2$

⇒ $a=4(1)^2$

⇒ $a=4$

$y_{3}=4^x$

⇒ $b=4^1$

⇒ $b=4$

$y_{1}=4x$

⇒ $c=4(2)$

⇒ $c=8$

$y_{3}=4^x$

⇒ $d=4^2$

⇒ $d=16$

$y_{1}=4x$

⇒ $e=4(3)$

⇒ $e=12$

$y_{2}=4x^2$

⇒ $f=4(3)^2$

⇒ $f=36$ and

$y_{3}=4^x$

⇒ $g=4^3$

⇒ $g=64$

Therefore, the value of a,b,c,d,e,f and g is 4,4,8,16,12,36 and 64 respectively.

3 0

3 years ago

Read 2 more answers

Teresa has 53 buttons. Teresa wants to make 12 puppets how many more buttons will she need

Svetllana [295]

Answer:41

Step-by-step explanation:

3 0

3 years ago

Please help? solve for variable and simplify each expression

natka813 [3]

$11.\\3d-2(8d-9)=-2d-4\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\3d+(-2)(8d)+(-2)(-9)=-2d-4\\\\3d-16d+18=-2d-4\qquad\text{combine like terms}\\\\(3d-16d)+18=-2d-4\qquad\text{subtract 18 from both sides}\\\\-13d=-2d-22\qquad\text{add 2d to both sides}\\\\-11d=-22\qquad\text{divide both sides by (-11)}\\\\\boxed{d=2}$

$13.\\3x-6=2+4(x-2)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\3x-6=2+(4)(x)+(4)(-2)\\\\3x-6=2+4x-8\qquad\text{combine like terms}\\\\3x-6=4x+(2-8)\\\\3x-6=4x-6\qquad\text{add 6 to both sides}\\\\3x=4x\qquad\text{subtract 3x from both sides}\\\\\boxed{x=0}$

$15.\\2(x-3)=3(2x+2)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\(2)(x)+(2)(-3)=(3)(2x)+(3)(2)\\\\2x-6=6x+6\qquad\text{add 6 to both sides}\\\\2x=6x+12\qquad\text{subtract 6x from both sides}\\\\-4x=12\qquad\text{divide both sides by (-4)}\\\\\boxed{x=-3}$

$17.\\3b+4-12b+6+2b\qquad\text{combine like terms}\\\\=(3b-12b+2b)+(4+6)\\\\=\boxed{-7b+10}$

$19.\\\dfrac{2^3}{2^3}=\dfrac{8}{8}=\boxed{1}$

7 0

4 years ago

Find the amount in the bank after 7 years if interest is compounded quarterly?

qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0

3 years ago

What is the value of x? A. 142 B. 152 C. 76 D. 71

Nadusha1986 [10]

Answer:

x has a value of 71, making D the correct answer.

Step-by-step explanation:

Because this is an isosceles triangle, we know that the bottom two angles are equal. We also know that the sum of the angles inside a triangle will always come to 180°. With that in mind, we can simply subtract 38° from 180° and divide by two to get the correct answer.

$x = (180 - 38) / 2\\= 142 / 2\\= 71$

So the correct answer is D, 71 degrees.

8 0

3 years ago