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4 years ago

Find a statement that is equivalent to the absolute value equation |9x−9|=7.

Mathematics

1 answer:

Olegator [25]4 years ago

8 0

Answer:9x-9=7 or 9x-9=-7

Step-by-step explanation:

An absolute value is the distance from zero, therefore the answer can not be negative. In this case, 9x-9=7 and 9x-9=-7 both work, because 7 and -7 are the same distance from zero.

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54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They

Assoli18 [71]

Answer:

Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:

For this one, you want to convert this into simultaneous equations.

If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.

From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.

Dividing both sides by 4 isolates d, leaving d=$11.

We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.

From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.

**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!

All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass

2d+3o=43 6d+3o=87

6d+3o=87

- - -

2d+3o=43

= = =

4d =44

÷4 ÷4

d =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7

3 0

3 years ago

There are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2 pounds. This wou

saveliy_v [14]

(6 2/3) / (1 1/2) =
(20/3) / (3/2) =
20/3 * 2/3 =
40/9 =
4 4/9.........this would fill 4 4/9 containers

4 0

3 years ago

A consumer magazine rates televisions by identifying two levels of price, ﬁve levels of repair frequency, three levels of featur

sergejj [24]

multiply (2)(5)(3)(2) = number of different levels possible

6 0

3 years ago

Factorise 3x square - 48x

Likurg_2 [28]

The answer would be 3x(x-16)

6 0

3 years ago

A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the

olga_2 [115]

Answer:

y = $\frac{x^2}{20}$

The focus of the solar oven's reflector is (0,a)

Step-by-step explanation:

The missing figure( i.e diagram) from the question is attached below:

Now ; given that :

The focus of the sun's rays is at a point L = 5 inches away from the vertex of the reflector. Also the distance of the parabolic curve be a= L = 5

So the equation for a cross section of the oven's reflector with its focus on the

positive y axis and its vertex at the origin is expressed as:

x² = 4 L y

x² = 4 (5) y

x² = 20 y

y = $\frac{x^2}{20}$

The focus of the solar oven's reflector is (0,a)

7 0

3 years ago