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MissTica
3 years ago
6

Function “p” is in the form y=ax^2 + C. If the values of “a” and “c” are both less than 0, which graph could represent “p”?

Mathematics
2 answers:
kati45 [8]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.

sergeinik [125]3 years ago
7 0

Answer:

B. Graph B

<u>--------------------</u>

hope it helps...

have a great day!!!

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A group of friends wants to go to the amusement park. They have no more than $165
Oksi-84 [34.3K]

Answer:

17.75x + 5.25 \leq 165

x \leq 9

Step-by-step explanation:

The total cost can be represented by 17.75x + 5.25, where x is the number of people.

They can only spend a maximum of $165, so a less than or equal sign has to be used.

The inequality will be 17.75x + 5.25 \leq 165

Now, solve for x:

17.75x + 5.25 \leq 165

17.75x \leq 159.75

x \leq 9

So, x \leq 9 is the answer, meaning 9 people or less can go to the amusement park.

3 0
2 years ago
At age 16, Estelle weighed 110lbs.
Cloud [144]

Answer:

Her weight is increase by 18 lbs over past five years and the slope is 3.6 lbs per year.

Step-by-step explanation:

Given information: Estelle weight is

At age 16 =  110 lbs

At age 21 = 128 ibs

Increase in her weight over the past 5 years is the difference of weight at age 21 and at age 16.

Increase in her weight over the past 5 years = 128 - 110 = 18

Her weight is increase by 18 lbs over past five years.

Let x=age and y=weight, then the weight function passes through the points (16,110) and (21,128).

If a line passes through two points (x_1,y_1) and (x_2,y_2),  then the slope of the line is

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

Using the above formula we get

m=\frac{128-110}{21-16}

m=\frac{18}{5}

m=3.6

Therefore the slope is 3.6 lbs per year.

7 0
3 years ago
How many solutions 4.5z = 4.5z – 6.25 + 6.25
valkas [14]

Answer:

no solution

Step-by-step explanation:

There is no solution.

4 0
3 years ago
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Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Step-by-step explanation:

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Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm

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