which statement must be true

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

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Answer:

mark brainlyest and I will

The value 250 represents the predicted value of antique in year 2014.

Given Expression,

[tex]250\times(1.12)^{t}[/tex]

Here [tex]t[/tex] represents the no. of years since 2014.

Now clearly 250 shows here the predicted price of the antique in year 2014 and [tex](1.12)^t[/tex] shows how much percent the product is increasing over the year.

Hence the value 250 represents the predicted value of antique in year 2014.

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Answer:

4.4 ft

Step-by-step explanation:

The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is

[tex]a^2+b^2=c^2[/tex]

Let's sustitute these for the values we have in our problem (measured in feet)

[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]

19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.

Answer:

The area of the shaded region is [tex]18\ \text{units}^2[/tex].

Step-by-step explanation:

On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

b is base and h is height

From this figure, each box is a square of side 1 unit say.

Its height will be 4 units and its base is 9 units

So,

[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]

So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].

Answer:

If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.

Mark as brainliest please I need a few more :D

Step-by-step explanation:

Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!

Answer: Your eyelids are doing it’s thing.

Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.

Answer:

is C=64

Step-by-step explanation:

Answer:

c=64

Step-by-step explanation:

I took the test

Answer:

batch 1

3 cups cashews

batch 2

2/6 or 1/3 cups (simplified) of pistachios

batch 3

1 1/3 cups of almonds

2 cups of cashews

Answer:

None of those are right, the answer is about 602.32 m2

Step-by-step explanation:

Answer:

you need 3000000 bees

Step-by-step explanation:

1kg=1000000mg.

1000000x3=3000000

hope this helps, have a good day :)

Kind of need a picture to help answer the question.

Answer:

3^5 = 243 square feet

Step-by-step explanation:

Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:

1. Multiply powers:

A = 3² * 3³

2. Expand each power:

A = (3*3) * (3*3*3)

3. Simplify:

[tex]A = 3^5[/tex]

The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.

The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

The complete sentences are actually the way to solve the question and can be completed as mentioned below:

A rectangle with a length of 3 cubed feet and a width of 3 squared feet.

Find the area.

1. Multiply powers: Area = 3² · 3³

2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)

3. Simplify: Area = [tex]\bold{3^5}[/tex]

The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.

Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

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Answer:

8

Step-by-step explanation:

2 x 2 = 4 x 2 = 8

Answer:

$60

Step-by-step explanation:

SI = (PRT)/100

SI = Simple Interest

P = Principal

R = Rate ( in decimal form)

T = Time

SI = (1200 x .5 x 1)/100

SI = 6000 / 100

SI = 60

Answer:

c

Step-by-step explanation:

(24 - 15) x 4 - 3 x 2

9 x 4 - 3 x 2

36 - 6

30

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

Answer:

The answer is D, or 354 3/8 ft^2

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

Answer:

11.76

Step-by-step explanation:

We are given that,

Total number of students = 340

Students that prefer cheese pizza = 40

Students that prefer pepperoni pizza = 28

Thus, we get that,

The proportion of students that prefers cheese pizza =

i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%

Hence, 11.76% of the students prefer cheese pizza.

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

Answer:

[tex]Area=45\pi$ square inches[/tex]

Step-by-step explanation:

The radius, r of the expanding circle of oil is modeled by the function:

[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.

When s=5

Area of a circle[tex]=\pi r^2[/tex]

Therefore, area of the oil spill when s=5 seconds is:

[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]

The area of the spill when s=5 seconds is 45pi square inches.

Step-by-step explanation:

35 + 3 = 5 x 14

38 = 70

False

Answer:

false

Step-by-step explanation:

(5×7)+3

(35)+3

38

5×(2×7)

5×(14)

70

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18

Answer:

180cm^3

Step-by-step explanation:

Answer:  An infinite number

We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like.  They'll all have the same shape but different sizes.

Answer:

1

Step-by-step explanation:

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

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Answer:

The product of 21 and 18

Step-by-step explanation:

When you multiply the word is product

The product of 21 and 18

Answer:

the answer is H

Step-by-step explanation: