Which is an example of a quadratic function whose graph opens downward and has its vertex at (0, 1)?

A. y = −x^2 + 1
B. y = x^2 + x − 1
C. y = x^2 + 4x + 1
D. y = x^2 − 1

Answer:

The coordinates of P is (-1,5.5)

Step-by-step explanation:

Here, we want to find the coordinates of the point that divides the segment into the ratio 1 to 3

To do this, we are going to use the section formula

We have this as;

(x,y) = (nx1 + mx2)/m+ n, (ny1 + my2)/m + n

where m = 1 , n = 3

(x1,y1) = (-3,4)

(x2,y2) = (5,10)

Substituting these values, we have;

(x,y) = (3(-3) + 1(5)/4 , (3(4) + 1(10)/4

(x,y) = (-9+ 5)/4 , (12 + 10)/4

(x,y) = (-1, 5.5)

Answer:

Um what’s this language?

Step-by-step explanation:

Answer:

74.5

Step-by-step explanation:

Answer: The answer is 74.5

Step-by-step explanation:

Hope this helped! :)

Answer:

Y= -1/3x+5

Step-by-step explanation:

the first box is the slope and the second box is the y intercept

Answer:

image pls see <3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6 is the smallest so the first one would be c because it is the smallest

Answer:

it would be c because it is plotted correctly

What are the options???

Answer: Erica has 2m-3 dollars

Step-by-step explanation:

Amount of dollars Yanyiah has = m dollars =$m

Erica has 2 times as many dollars as Yanyiah minus 3 dollars, can be expressed as =(2m-3)dollars,

We can therefore say Erica has 2m-3 dollars.

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597

#SPJ2

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

Answer:

6log_4(x) - 4log_4(y)

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

The scenario does not match the expression, the expression is 4 - 16 so it would be 16 fewer than 4 songs

Answer:

36 miles

Step-by-step explanation:

The area of a rectangle = Length × Width

One dimension = 6 miles

Area = 216 square miles

Hence, the other dimension = 216 square miles/6 miles

= 36 miles

The unknown dimensions is 36 miles

Answer:

6

Step-by-step explanation:

105 is a composite number (not prime).  If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7.  This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.

The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.

That's a permutation problem, and it can be answered easily by thinking this way:  given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.

3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number.  Here they are:

357, 375, 537, 573, 735, 753

Answer:

the ratio used was 1:19

Step-by-step explanation:

let a be the action figure version

let r be the real iron man

let's list out the important things.

a = 4''

r = 6'4''

one foot has 12 inches

convert r into inches:

6 × 12 = 72           (6 feet in r)

       r = 76''          (72 + 4)

r = 76''

a = 4''

ratio is 4:76

simplify

4:76

2:38

1:19

the ratio they used is 1:19

good luck,

-cheesetoasty

Answer:

point b is plotted incorrectly

Step-by-step explanation:

Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?

A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.

I hope this helped!

~flipohrama

Answer:

y = 4x-2

Step-by-step explanation:

y = mx+b

y = 4x+b

y = 4x-2

Answer:

2.25

Step-by-step explanation:

Answer:

0 pints ≤ J ≤ 4 pints

Where J is the amount of juice that Carl bought.

Step-by-step explanation:

Here we need to learn how to use the inequality symbols.

Let's define each one of them:

A < B   (A is strictly smaller than B)

A > B  (A is strictly greater than B)

A ≤ B (A is smaller than or equal to B)

A ≥ B  (A is greater than or equal to B)

A ≠ B  (A is different than B)

Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.

Then the total amount of mil that he buys is 4 times one pint, this is:

4*1 pint = 4 pints

He has 4 pints of milk.

And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:

J < 4 pints

This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)

If we want to be more correct, we should write:

0 pints ≤ J ≤ 4 pints

Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)

Answer:

PLEASE MARK ME AS BRAINLIEST

Thus the area of shaded region is 301.5 cm^2.

"The collection of all points equidistant from a fixed point in a plane is called a circle".

For the given situation,

The radius of the inner circle be r = 8 cm and

the radius of the outer circle be R = 16 cm

The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]

Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]

⇒[tex]200.96[/tex]

≈[tex]201[/tex]

Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]

⇒[tex]803.84[/tex]

≈[tex]804[/tex]

The shaded region replicates the semicircle. So,

Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]

⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]

⇒[tex]402-100.5[/tex]

⇒[tex]301.5 cm^{2}[/tex]

Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]

Learn more about circles here

https://brainly.com/question/1297097

#SPJ2