What is the remainder of (x 3 - 6x 2 -9x + 3) ÷ (x - 3)?a.

b.

c.

d. –51?

Answers

Answer 1

Answer: answer = -51...............

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Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supples to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks fr $5.60 and spoons for $5.40. Last April Molly's custom kitchen supples spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20 . How many forks and how many spoons did they make?

Answers

let the no of forks be x and no of spoon be y
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
solving for x and y, we get
multiplying eqn 1 by 5.6 and equation 2 by 1.7 we get
9.52x + 7.28y = 212.24
9.52x + 9.18y = 250.24
subsrtracting eqns we get
7.28y - 9.18y = 212.24 - 250.24
1.9y = 38
y = 20
x = (37.9 -1.3*20)/1.7
= 7

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.
The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.
The vertex is (–1, 2), the domain is all real numbers, and the range is y ≤ 2.

Answers

$f(x)=3(x-1)^2+2\ It's\ a\ quadratic\ function\n\ntherefore\ Domain:\boxed{D:x\in\mathbb{R}\ all\ real\ numbers}\n\nvertex:\nthe\ vertex\ form:\ y=a(x-h)^2+k\nwhere\ (h;\ k)h\ and\ k\ are\ the\ x\ and\ y\ coordinates\ of\ the\ vertex\n\boxed{vertex:(1;\ 2)}$
$range:\na=3 \ \textgreater \ 0\ therefore\ the\ parabola\ ope ns\ upward\nso\nrange\ is\ [vertex\ (y);\ infinity)\nrange:\boxed{y\geq2\y\in[2;\ \infty)}\n\nYour\ answer:\n\boxed{The\ vertex\ (1;\ 2);\ domain\ is\ all\ real\ number\ (x\in\mathbb{R});\ range\ y\geq2}$

$f(x)=3(x-1)^(2)+2 \n \n f(x)=a(x-p)^(2)+q \n \n W=(p,q) \n \n W=(1,2) \n \n D: x \in R \n \n a \ \textgreater \ 0 \n \n Range: y \in [2,+\infty)$

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"Associate with people who are likely to improve you."

ANSWER ALL (a-d) FOR 24 POINTS - EASYa. Write an expression for the perimeter a playground using the formula for perimeter.

b. The width of a playground is 20 yards more than six times the length. Write an expression for the perimeter using this information.

c. Write an equation using the expression from parts a and b. Solve the equation for L.

d. If the playground's width is 32 yards, what is the length?

Answers

Part a.

The perimeter formula is: P = 2w + 2L

Your answer for part A is P = 2w + 2L

Part b.

They tell us in part b, that:
w = 6L + 20

Substitute that into what we got for part a.

P = 2(6L + 20) + 2L
P = 12L + 40 + 2L
P = 14L + 40

Your answer for partb is P = 14L + 40

Part c.

So we take what we got from part b, and solve for L.

P = 14L + 40
14L = P - 40

$L = \boxed{(P-40)/(14)}$

That is your answer for part 3 ^

part d.

Plug in w = 32 into what we first got in part b.

w = 6L + 20
32 = 6L + 20
6L = 12

L = 2

Your answer for part d is L = 2

:D

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x? Choose 3 answers: Choose 3 answers: (Choice A) A y=9xy=9xy, equals, 9, x (Choice B) B 2y=18x2y=18x2, y, equals, 18, x (Choice C) C (Choice D) D xxx yyy 333 \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction 666 \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction 999 111 (Choice E) E xxx yyy 222 181818 444 272727 666 363636

Answers

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

$y=(27)/(3)x\ny=9x$

The constant of proportionality between y and x is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

The Proportional relationships y = 9x, 2y = 18x, and y = (1/3)x have the same constant of proportionality as the equation 3y = 27x.

The equation 3y = 27x represents a proportional relationship between y and x with a constant of proportionality of 9. To determine which relationships have the same constant of proportionality, we can compare the ratios of y to x in the given options.

A) y = 9x: The ratio of y to x is 9, which is the same as the constant of proportionality in the original equation. So, this option has the same constant of proportionality.

B) 2y = 18x: Dividing both sides of the equation by 2, we get y = 9x, which has the same constant of proportionality. Therefore, this option also has the same constant of proportionality.

D) y = (1/3)x: The ratio of y to x is 1/3, which is different from the constant of proportionality in the original equation. Therefore, this option does not have the same constant of proportionality.

So, the correct answers are A) y = 9x, B) 2y = 18x, and D) y = (1/3)x.

For more such questions on Proportional relationships, click on:

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Find -x + 10 less than 0.

0
-x + 10
x - 10

Answers

$-x + 10 \ \textless \ 0$

Transposing the inequation gives:
$-x \ \textless \ -10$

Since we want to get rid of the negatives on both sides, we must flip the sign:
$x \ \textgreater \ 10$

If you transpose the equation to make RHS be 0:
$x - 10 \ \textgreater \ 0$
That seems to satisfy x - 10 (could be wrong though...)

But I'm not exactly clear on what you want as the options above don't seem to give that much context :I

Answer:

x - 10

Step-by-step explanation:

Apples lose 85% of their weight while drying. What weight of fresh apples do you need to pick in order to get 10.5 lb of dried apples?