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1 year ago

Which quadratic function has a y-intercept of 4?

Mathematics

2 answers:

Kaylis [27]1 year ago

5 0

Answer:

X is the answer so ez lolololol is the first thing

8090 [49]1 year ago

3 0

Answer:

This tells us that the vertex is at (−2, 9) and the equation of the axis of symmetry is x = −2. To find the x-intercepts, we put y = 0 to obtain

(x + 2)2 − 9 = 0

(x + 2)2 = 9

x + 2 = 3 or x + 2 = −3

x = 1 or x = −5.

Step-by-step explanation:

Image result for Which quadratic function has a y-intercept of 4? y=x2−2x+4 y=x2+2x+9 y=−x2+3x y=x2+13x+12

The standard form of a quadratic equation is written as y=ax2+bx+c, where x and y are variables and a, b, and c are known constants. To find the y-intercept from a quadratic equation, substitute 0 as the value for x and solve. The y-intercept is always equal to the value of c in the equation.

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A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?

Travka [436]

Answer:

$area=\frac{85}{4}feet^{2}$

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

$perimeter=18\frac{1}{2}\\\\length=5$

$2(length+width)=perimeter$

Substitute,

$2(5+width)=18\frac{1}{2}$

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

$2(5+width)=\frac{37}{2}$

Inverse operations,

$2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}$

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

$length=5\\\\width = \frac{17}{4}$

$length*width=area$

Substitute,

$5*\frac{17}{4}\\\\=\frac{85}{4}$

$area=\frac{85}{4}feet^{2}$

4 0

3 years ago

The difference of two numbers is more than 12,and one of the numbers is 3

klio [65]

X+y = 12
x-y = 3
x = 3+y

Substitute it in 1st equation,
3+y+y=12
2y = 9
y = 4.5

Substitute it in 1st eq.,
x = 12-4.5 = 7.5

So, the two numbers are 7.5 & 4.5

Hope this helps!

6 0

2 years ago

Insert commas to show periods according to Indian as well as International place value system of 2349812

Nata [24]

Answer:

23,49,812

Step-by-step explanation:

3 0

3 years ago

Please show your work I will mark you Brainiest

Talja [164]

Answer:

1. 7

2. 5/8

3. 5

4. 20

Step-by-step explanation:

There is one burger that weighs 3/8 pounds, four that weigh 1/2 pound, and two that weigh 3/4 pounds. The difference between the heaviest and the lightest is 3/4-1/8=5/8. The total combined weight is 5 pounds. 5/ 1/4= 5*4=20. Hope this helps!

5 0

3 years ago

Read 2 more answers

Help ill give brainlest pls

Setler [38]

I the answer To You Problem Is C

6 0

2 years ago