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Alex73 [517]
3 years ago
12

Write an equation for the function

Mathematics
1 answer:
Mila [183]3 years ago
8 0

Answer:

  m(u) = -0.25(u +2)² +1    or    -0.25u² -u

Step-by-step explanation:

The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.

The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.

Our equation will be of the form ...

  m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)

For this graph, the equation is ...

  m(u) = -0.25(u +2)² +1

or, simplifying, we get ...

  m(u) = -0.25u² -u

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Rebeca spent $32.55 for a photo album and three identical candles. The photo album cost $17.50 and the sales tax was $1.55. How
Marina86 [1]

Answer: $4.50 per candle

Step-by-step explanation:

$32.55 - $17.50 - $1.55 = $13.50 for all the candles

To find the price of a single candle we divide our answer by 3

13.50/3 = $4.50

3 0
3 years ago
Hello, I really struggle with math and I was wondering if you could help me with the following problem please? It will be much a
xz_007 [3.2K]

Answer:

x=7

Step-by-step explanation:

Simplifying

3x + 2(4 + 6x) = 113

3x + (4 * 2 + 6x * 2) = 113

3x + (8 + 12x) = 113

Reorder the terms:

8 + 3x + 12x = 113

Combine like terms: 3x + 12x = 15x

8 + 15x = 113

Solving

8 + 15x = 113

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 15x = 113 + -8

Combine like terms: 8 + -8 = 0

0 + 15x = 113 + -8

15x = 113 + -8

Combine like terms: 113 + -8 = 105

15x = 105

Divide each side by '15'.

x = 7

Simplifying

x = 7

5 0
2 years ago
Read 2 more answers
Someone help me please!
andriy [413]

Answer:

To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.

5 0
3 years ago
Solve the equation: <br><br> -4(m+6)=-8<br><br><br> m=-10<br><br> m=-4<br><br> m=3.5<br><br> m=26
Harrizon [31]
M = -4 for this one...............
8 0
3 years ago
Read 2 more answers
Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.
DENIUS [597]

We have that    the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6. is

m=\infty

From the question we are told

Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.

Where Standard form of Equation is

y=mx+c

Generally the equation for the Slope  is mathematically given as

m=\frac{y_2-y_1}{x_2-x_1}

Therefore

m=\frac{-7-1}{-6-(-6)}\\\\ m= \infty

Therefore

The slope of this line is

m=\infty

For more information on this visit

brainly.com/question/23366835

7 0
2 years ago
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