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kap26 [50]
3 years ago
10

For a quadratic function, which characteristics of its graph is equivalent to the zero of the function? a) y-intercept b) maximu

m point c) minimum point d) x-intercept​

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

Answer:

d) x-intercept

Step-by-step explanation:

The zeros of a function are the values of x that make y = 0.

Thus, they are the points where the graph crosses the x-axis, that is, the x-intercepts.

a) is wrong. the y-intercept is simply the value of y when x = 0.

b) and c) are wrong. A quadratic can have only one maximum or one minimum; it can't have both. And they are not zeros except in the special case of y = ±ax².

The diagram below is the graph of y = x² + 3x - 46. It shows the zeros at x = -23 and x = 20. The minimum and the y-intercept are not zeros of the function.

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Please help ASAP thanks
hjlf

Answer:

x = 2.5 inches. Or

x = 5/2

Step-by-step explanation:

Length: 7 + 2x

Width: 5 + 2x

Note that you have to add x at each end of the picture and onto each part of the width.

The entire area is 120 square inches.

Formula

L*W = Area

(2x + 7)(2x + 5) = 120

Solution

4x^2 + 10x + 14x + 35 = 120                Subtract 120 from both sides. Add xs

4x^2 + 24x + 35 - 120 = 0

4x^2 + 24x - 85 = 0                             Factor

(2x + 17)(2x - 5)

2x + 17 has no meaning. It will give -  8.5 which is not possible.

2x - 5 =0

2x = 5                                                  Divide by 2

x = 5/2

x = 2.5

Note: I don't know which one the computer is looking for.

8 0
3 years ago
Read 2 more answers
Find the surface area of the pyramid shown to the nearest whole number.
Snezhnost [94]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Surface area of a pyramid =

area of base + area of triangular faces

Since it's a square based pyramid

It's surface area is

area of base + 4( area of one triangular face)

Since the square has equal sides

<u>For square base </u>

Area of a square = l²

where l is the length

From the question l = 5

So we have

Area of square base = 5² = 25ft²

<u>For one of the triangular face</u>

Area of a triangle = ½ × base × height

base = 5

height = 6

Area = ½ × 5 × 6 = 15ft²

So the surface area of the pyramid is

25 + 4(15)

= 25 + 60

We have the final answer as

<h3>Surface area = 85 ft²</h3>

Hope this helps you

7 0
3 years ago
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be
STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

10x^2-19x+6

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

10x^2-19x+6=0

10x^2-15x-4x+6=0

5x(2x-3)-2(2x-3)=0

(5x-2)(2x-3)=0

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0
4 years ago
Please Help!!
Irina18 [472]

Answer:

A.

Step-by-step explanation:

8 0
3 years ago
Find the interquartile range of 17, 23, 8, 5, 9, 16, 22, 11, 13, 15, 17, 18
Yuri [45]
8.25 

Hope I helped! ( Smiles )
4 0
3 years ago
Read 2 more answers
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