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skelet666 [1.2K]

3 years ago

10

Which choice could be the equation of a line parallel to the line represented by this equation?

1 answer:

aliina [53]3 years ago

5 0

Answer: B) y=3/2x+4

Let’s start by turning this into slope-intercept form, or y=mx+b form

3x-2y=6

*subtract 3x on both sides*

-2y=-3x+6

*divide all numbers by -2, in order to get y alone*

y=3/2x-3

When an equation is parallel to another, it has the same slope but different y intercept. So, our new equation will also have a slope of 3/2.

Our current equation is: y=3/2x+b

We do not know what b is, but the question is only asking for possible choices. “B” could be any number, meaning that a possible answer choice could be b)y=3/2x+4.

Hope this helps if you need any more help comment below :)

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Use the remainder theorem to find the remainder for (x ^5 + 32) divided by (x+2) and state whether or not the binomial is a fact

marta [7]

$x+2$ is a factor of $x^5+32$ because (by the remainder theorem) the remainder upon dividing $x^5+32$ by $x+2$ is $(-2)^5+32=0$ .

There's also the sum of fifth powers formula,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)$

3 0

3 years ago

Read 2 more answers

Lupe and her friends spend $20 on hot dogs and popcorn at a

vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0

3 years ago

Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

4 0

4 years ago

Jeff likes to grow zucchini. He has made a graph of the total number of zucchini his garden has produced this season, which can

Veseljchak [2.6K]

Answer:

The answer is A. 10

Step-by-step explanation:

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4 years ago

100 POINTS BRNLST! Solve the system of equations using the substitution method.

Komok [63]

Answer:

y= 2x-1/2 is x=.5 y + .25

2x-3y=4 is x = 1.5y + 2

Step-by-step explanation:

pretty sure thats it

7 0

3 years ago