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4 years ago

(a): FInd the coordinates of the vertex

Mathematics

1 answer:

forsale [732]4 years ago

4 0

A. The vertex of a curve is where the curve is at its highest or lowest, depending on whether the line opens up or down. Since this is a curve that opens up, the vertex is where the curve is at its highest. In this case, the vertex is (-3,-1).

B. The x-intercepts are the points on the graph where the curve crosses the x-axis, while the y-intercepts are the points on the graph where the curve crosses the y-axis. In this case, the x-intercepts are (-4,0) and (-2,0) and the y-intercept is (0,8).

C. The axis of symmetry is the vertical line that splits the curve evenly. In this case, the axis of symmetry is x = -3

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the weight of a cylindrical can varies jointly with the height of the can and the square of the cans radius. A 4-inch high can w

Bess [88]

With the information given we have:
$W=k.h.r^2$
Where W is the weight, k is the proportionality constant and r is the radius of the can's radus. Remember that the weight varies jointly so this key word means that you need to multiply the mentiones parameters by a proportionality constant k.
We simply need to reorganize the expression and isolate k for the frst answer:
$k=\frac{W}{h.r^2}$
Replacing by all the appropiate values we get:
$k=\frac{16}{(1.5)^2.4}\approx1.78$
For the second part knowing k we have:
$W=\frac{16\times 4.5\times 2^2}{(1.5)^2\times 4}=32 ounces$

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4 years ago

Find 3 consecutive numbers that equal 45

tatyana61 [14]

Answer:

14,15,16

Step-by-step explanation:

Let x be the first number

Consecutive means in a row

x+1 is the second number

x+2 is the third number

x+ x+1 + x+2 = 45

Combine like terms

3x+3 = 45

Subtract 3 from each side

3x+3-3=45-3

3x = 42

Divide each side by 3

3x/3 = 42/3

x =14

The first number is 14

The second number is 14+1 = 15

The third number is 14+2 =16

7 0

3 years ago

Read 2 more answers

How does writing equivalent equations help you solve a system of equations?

Alexus [3.1K]

Writing equivalent equations help you solve system of equations because it sets it up for being broken down part by part.

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3 years ago

Elaine wants to buy a couch for $899.99 if she pays $69.75 in sales tax what is the sales tax percent explain steps

tigry1 [53]

Answer:

the sales tax percent is therefore: 7.75%

Step-by-step explanation:

The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.

Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:

69.75 = x * 899.99

solving for x we get:

x = 69.75 / 899.99

x = 0.0775

this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:

the sales tax percent is therefore: 7.75%

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4 years ago

What are the factors of 16

sergey [27]

1,2,4,8,16 Them are the answers for the factors

8 0

3 years ago