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3 years ago

I WILL GIVE BRAINIEST!

Mathematics

1 answer:

Novay_Z [31]3 years ago

3 0

Range is the value of y
f(x)=-x²+5
when x=-1, f(x)=-(-1)²+5=4
when x=2, f(x)=-(2)²+5=1
so 1<y≤4
the second piece: f(x)=2x-3
when x=2, f(x)=2(2)-3=1
when x=5, f(x)=2(5)-3=7
so 1≤y<7

union of the two parts of y: 1≤y<7
[1,7) is the answer.

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Solve the equation. 9 = – x + 8

lord [1]

Answer:

x = - 1

Step-by-step explanation:

Given

9 = - x + 8 ( subtract 8 from both sides )

1 = - x ( multiply both sides by - 1 )

- 1 = x ⇒ x = - 1

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3 years ago

Points for free for everyonee

Pachacha [2.7K]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount rece

Luba_88 [7]

Answer:

36 pencils

$Cost = 0.2$

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is $\frac{x}{180}$

$Selling\ Price = Cost + Profit$

$Selling\ Price = \frac{x}{180} + 2$

Since all but 6 items were sold, the total selling price is:

$Total = (x - 6)(\frac{x}{180} + 2)$

This amount can be used to buy 30 more items.

So, we have:

$(x - 6)(\frac{x}{180} + 2) = x + 30$

Multiply both sides by 180

$180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)$

$(x - 6)(x + 360) = 180x + 5400$

Expand brackets

$x\² + 360x - 6x - 2160 = 180x + 5400$

$x\² + 354x - 2160 = 180x + 5400$

Equate to 0

$x\² + 354x - 180x - 2160 - 5400 = 0$

$x\² + 174x - 7560 = 0$

Expand

$x\² + 210x - 36x - 7560 = 0$

$x(x + 210) - 36(x + 210) = 0$

$(x - 36)(x + 210) = 0$

$x - 36 = 0$ or $x + 210 = 0$

$x = 36$ or $x = -210$

<em>Since, number of items can't be negative, we have to discard x = -210.</em>

Hence:

$x = 36$

<em>We can then conclude that, Mr. Javier purchased 36 pencils</em>

Recall that

$Cost = \frac{x}{180}$

$Cost = \frac{36}{180}$

$Cost = 0.2$

5 0

4 years ago

Six more than five times a number (x) is at least twenty one

Blizzard [7]

5x + 6 greater than or equal to 21

greater than or equal to has the sign that looks like a backwards L with a line underneath

6 0

3 years ago

164 cm equals how many meters

Tju [1.3M]

Well, since there is 100 Centimeters in a meter than it would 1.64 meters OR 1 meter and 64 centimeters

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3 years ago