The vertex of a quadratic equation is given at (−2, 1), and the quadratic is concave up. How can the range and domain be described?

Question options:

Domain: [1, ∞)
Range: (−∞, ∞)

Domain: (−∞, ∞)
Range: [1, ∞)

Domain: [−2, ∞)
Range: (−∞, ∞)

Domain: (−∞, ∞)
Range: [−2, ∞)

Answers

Answer 1
Answer:
First answer
Explanation:
Just as a reminder, domain is the x values that would give a defined answer for y, and range is the possible values y could get.
The domain of every polynomial is (-infinity, infinity), because there isn’t any value that could make it undefined.
Since this is an upward opening parabola, it’s vertex is its minimum point, which is 1. That means the range would be [1, infinity).
This means the answer is:
Domain: [1, infinity)
Range: ( -infinity, infinity)
I hope this helped.

Related Questions

Here is a list of ingredients: 260g of butter, 500g of sugar, 650g of flour, 425g of rice to make 20 biscuits. Michael has 2kg of each ingredient. Work out the greatest number of biscuits that he can make.​

Answers

Answer: 61 Biscuits

Step-by-step explanation: 13g of butter per biscuit, 25g sugar per biscuit, 32.5g flour per biscuit, 21.25g rice per biscuit

By taking the amount of flour per biscuit (the largest ingredient) and dividing 2000 by it you get 61 which is the most amount of biscuits he can make with his ingredients.

what is (3-8y)x(-2.5)

Answers

Answer:

20xy−7.5x

Step-by-step explanation:

Which value for x makes the equation x -4.21 = 6.047 true? A. x = 10.68 C. X = 10.247 B. x = 10.257 D. x = 1.837​

Answers

Answer:

C. X = 10.247

Step-by-step explanation:

X -4.21 = 6.047

just you will add 4.21 to both sides of the equation

X -4.21 + 4.21 = 6.047 + 4.21

X = 10.247

Answer: the answer is B.

I need help wit the answer

Answers

Answer:

Triangle STU is not similar to Triangle VWU

Step-by-step explanation:

For two triangles to be similar, they both should have the same angle measures. To find out if they have the same angle measures, we have to solve for the unknown angles. Remember, a triangle is worth 180°.

Triangle STU:

x + 90 + 42 = 180x + 132 = 180x = 48

Triangle VWU:

x + 58 + 90 = 180x + 148 = 180x = 32

As you can see, the angles don't have the same angle measures. Thus, they are not similar.

Answer is B I believe !

Simplify
7x+[x-(5+x)]

a) 7x-5
b)8x-5
c)9x-5​

Answers

Answer:

It would be a which is 7x-5

The first step of a staircase that leads to an outdoor deck is above a concrete slab. The height, h, in centimeters of the n step of
the staircase above the ground can be represented by the function h (n) = 25n+ 3. Which of the following is a correct
interpretation of the function? (1 point)
A. The concrete slab is 25 cm tall
B. The height of each step is 3 cm.
C. The first step is 25 cm tall, and the subsequent steps are 3 cm tall
D. The concrete slab is 3 cm tall.

Answers

Answer: D

Step-by-step explanation:

Answer:

The correct answer is B. The concrete slab is 3 cm tall.  

What is The difference of 3 and a number X

Answers

Answer:

"the difference of" means to subtract

Therefore, "the difference of 3 and a number" would be:

3-x

Step-by-step explanation:

The required number is 63 and its 20% will be 12.6.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

The difference between 3 and the number x of that number is -60.

According to the question, the algebraic form will be as:

⇒ 3 - x = -60

⇒ x = 60 + 3

Apply the addition operation,

⇒ x = 63

So the required number is 63

20% of the number = (20/100) × 63

20% of the number = (0.20) × 63

20% of the number is 12.6.

Therefore, the required number is 63 and its 20% will be 12.6.

Learn more about the number system here:

brainly.com/question/21751836

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The question seems to be incomplete the correct question would be:

The difference between 3 and the number x of that number is -60. What is 20% of that number?

Simplify the expression:

3(2 + 3v)

HELPPP

Answers

Answer:

[tex]\boxed{\sf{6+9v}}[/tex]

Step-by-step explanation:

We only need to use a distributive property to solve this.

Distributive property:

⇒ A(B+C)=AB+AC

3(2+3v)

Multiply.

[tex]\sf{3(2+3v)}[/tex]

[tex]\sf{3*2=6}[/tex]

[tex]\sf{3*3=9}[/tex]

Rewrite the problem.

6+9v

Therefore, the correct answer is 6+9v.

I hope this helps you! Let me know if my answer is wrong or not.

Solve for x in the equation x ^ 2 + 2x + 1 = 17

O x = - 1 plus/minus sqrt(13)

O x = - 2 plus/minus 2 * sqrt(5)

O x = - 1 plus/minus sqrt(17)

O x = - 1 plus/minus sqrt(15)

Answers

Answer:

[tex]x=-1+\sqrt{17},\:x=-1-\sqrt{17}[/tex]

Step-by-step explanation:

[tex]x ^ 2 + 2x + 1 = 17[/tex]

[tex]\mathrm{Subtract\:}17\mathrm{\:from\:both\:sides}[/tex]

[tex]x^2+2x+1-17=17-17[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x^2+2x-16=0[/tex]

[tex]\mathrm{Solve\;with\;Quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}[/tex]

[tex]\sqrt{2^2-4 \cdot1\cdot(-16)} =\sqrt[2]{17}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:2\sqrt{17}}{2\cdot \:1}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-2+2\sqrt{17}}{2\cdot \:1},\:x_2=\frac{-2-2\sqrt{17}}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=-1+\sqrt{17},\:x=-1-\sqrt{17}[/tex]

Hence, Answer is [C] [tex]x=-1+\sqrt{17},\:x=-1-\sqrt{17}[/tex]

~Lenvy~

Answer:C

Step-by-step explanation:

Solving a Two-Step Matrix Equation
Solve the equation:

Answers

Answer:

[tex]\boxed {x_{1} = 3}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

Step-by-step explanation:

Solve the following equation:

[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right] + \left[\begin{array}{ccc}1\\2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:

-First equation:

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Second equation:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

-Choose one of the two following equations, which I choose the first one, then you solve for [tex]x_{1}[/tex] by isolating

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]3x_{1} + 2x_{2} + 1 - 1 = 2 - 1[/tex]

[tex]3x_{1} + 2x_{2} = 1[/tex]

-Subtract [tex]2x_{2}[/tex] to both sides:

[tex]3x_{1} + 2x_{2} - 2x_{2} = -2x_{2} + 1[/tex]

[tex]3x_{1} = -2x_{2} + 1[/tex]

-Divide both sides by [tex]3[/tex]:

[tex]3x_{1} = -2x_{2} + 1[/tex]

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

-Multiply [tex]-2x_{2} + 1[/tex] by [tex]\frac{1}{3}[/tex]:

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

-Substitute [tex]-\frac{2x_{2} + 1}{3}[/tex] for [tex]x_{1}[/tex] in the second equation, which is [tex]5x_{1} + 5x_{2} + 2 = -3[/tex]:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

Multiply [tex]-\frac{2x_{2} + 1}{3}[/tex] by [tex]5[/tex]:

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

-Combine like terms:

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

[tex]\frac{5}{3}x_{2} + \frac{11}{3} = -3[/tex]

-Subtract [tex]\frac{11}{3}[/tex] to both sides:

[tex]\frac{5}{3}x_{2} + \frac{11}{3} - \frac{11}{3} = -3 - \frac{11}{3}[/tex]

[tex]\frac{5}{3}x_{2} = -\frac{20}{3}[/tex]

-Multiply both sides by [tex]\frac{5}{3}[/tex]:

[tex]\frac{\frac{5}{3}x_{2}}{\frac{5}{3}} = \frac{-\frac{20}{3}}{\frac{5}{3}}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

-After you have the value of [tex]x_2[/tex], substitute for [tex]x_{2}[/tex] onto this equation, which is [tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]:

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

-Multiply [tex]-\frac{2}{3}[/tex] and [tex]-4[/tex]:

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

-Since both [tex]\frac{1}{3}[/tex] and [tex]\frac{8}{3}[/tex] have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

[tex]x_{1} = \frac{9}{3}[/tex]

[tex]\boxed {x_{1} = 3}[/tex]

I’m to lazy to do this right now anyone can give me an answer

Answers

Answer:

$75.50

Step-by-step explanation:

There are 4 times as many dogs as cats if the total number of dogs and cats is 25 how many dogs are there

Answers

Answer:

6 times as many dogs as cats

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

So we know that if we combine all of the dogs and cats, we get 25. We also know that there are 4 times more dogs than cats, so we can call cats x, and dogs 4x.

So 4x + x = 25

5x = 25

x=5

There are 5 cats. Now that we know the number of cats , we just need to multiply that by 4, which is 20 dogs.

what are the missing numbers?

Answers

1Q= 5
6Q = 30
14Q= 70

Answer:

5, 30, and 70

Step-by-step explanation:

Multiply by  number of quarters by 5 to get the number of nickels.

Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)? f(x) = −6(x 1)(x 5) f(x) = −6(x − 1)(x − 5) f(x) = −5(x 1)(x 5) f(x) = −5(x − 1)(x − 5).

Answers

Answer:

f(x) = −6(x+ 1)(x +5)

Step-by-step explanation:

x-intercepts at (−1, 0) and (−5, 0)

so the roots are -1 and -5 (where the graph intersects the x-axis)

this will give us that f(x) = (x- root1)(x-root2) = (x- -1)(x- -5) = (x+1)(x+5)

y-intercept at (0, −30) is telling us that when x= 0 the y = -30

y = a ( x+1)(x+5) , in general

y = a(0+1)(0+5), is the equation if x=0

-30 = a·1·5, we need y= -30 when x= 0

-30 = 5a , divide both sides of the equation by 5

-6 = a

The correct choice is :

f(x) = −6(x+ 1)(x +5)

f(x) = −6(x − 1)(x − 5)

f(x) = −5(x +1)(x +5)

f(x) = −5(x − 1)(x − 5).

Ingnd mxes 3 6 pounds of almonds with some raisins to make a trail mix She divides the trail mix into 12 equal portions Each portion weighs 0.7 of a pound How many pounds of raisins did she use to make the trail mix? Express the answer to the nearest tenth 2.9 4.8 5.1 7.2​

Answers

Answer:

The 12 portions weigh a total of 12*0.7 = 8.4 lbs

So, the almonds weigh 8.4 - 3.6 = 4.8 lbs

Answer:

4.8 pounds

Step-by-step explanation:

Let raisins weight be x

Then we get equation

(3.6 + x)/12 = 0.7

Solving for x

3.6 + x = 12*0.7x + 3.6 = 8.4x = 8.4 - 3.6x = 4.8 pounds

Option B is correct one

x+4y=12
Solving the equation for y

Answers

x+4y=12
4y=12x
xy=3 answer

m(x) =5
Find m(2)
I have no idea how to do this help me

Answers

Answer:

10

Step-by-step explanation:

All this is saying is when there is one x value it is equal to 5

so, applying that logic, 2 fives is equal to 2*5=10

so when x=2, it is equal to 10

Hope this helps you out!!!

if x = 5 then m(2)= 10

What is -1.4d = 0.7? Solve for d.

Answers

Answer:

d= -0.5

Step-by-step explanation:

hope it help :)

PLEASE HELP PLEASE HELP!!!!

Write a problem that would result in the expression: -12 + 6(3/4). Solve your problem and show your work.

Answers

Answer:

-18 and 3/4

Step-by-step explanation:

Find the constant of proportionality if y varies directly with x for the values below.
x = 2
y = 11​

Answers

Answer:

y=5.5x

Step-by-step explanation:

6. Triangle A is an isosceles triangle with two angles of measure x degrees and one
angle of measure y degrees

a. Find three combinations of x and y that make this sentence true

Answers

Answer:

Step-by-step explanation:

Besides 49 and 1, what is one factor of 49??????????????????????

Answers

Answer:

See below.

Step-by-step explanation:

The factors of 49 are 1, 7, and 49.

1 x 49 = 49

7 x 7 = 49

-hope it helps

Please help!!!!!! Thank you so much!!!!!

Answers

Answer:

104 degrees

Step-by-step explanation:

RS is a line, so it is 180 degrees.  PO is also a line and point O is touching line RS.  The acute measure is 76 degrees, as shown.  To find the other angle measure for SOP, subtract 76 from 180.  That gives 104 degrees, which is the measure of SOP.

100 points pls right answers only it’s for apex
An outlier point is added to a set of bivariate data. In what way must your analysis change with the addition of the outlier?
A. The sign of the regression coefficient will change from positive to
negative, or vice versa.
B. The value of the correlation coefficient will move closer to 0.
C. The regression constant will change dramatically.
D. All of the above.

Answers

Answer:

I already said b in the comment area so I'm just putting it here now

Step-by-step explanation:

(B) The value of the correlation coefficient will move closer to 0.

Bivariate data:Bivariate data in statistics refers to data on two variables, each of which has a value coupled with a value of the other variable. Normally, it would be interesting to look into any potential relationships between the two variables. The association can be investigated using sample statistics that can be utilized for inference, a tabular or graphical display, or both. The approach taken to look into the association would depend on how the variable was measured. Bivariate correlation or bivariate association are terms used to describe the links, which only involve two variables.

Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.

Know more about Data here:

https://brainly.com/question/19243813

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5x+10y=20
graph it using y=mx+b
show your work please​

Answers

Answer:

y=20-5x 10

Step-by-step explanation:

5x+10y=20y=mx+b10y=20-5xdivide by 10 both side10y=20-5x 10 = 10y=20-5x 10answer


Need help asap please

Answers

Answer:

A

Step-by-step explanation:

[tex] {16}^{2} = {14}^{2} + {x}^{2} [/tex]

[tex]256 - 196 = {x}^{2} [/tex]

[tex]x = \sqrt{60} = 2 \sqrt{15} [/tex]

Which is true of the models? Check all that apply. Both exact values are less than the approximate value. The percent errors are the same. The top model has a greater percent error. The bottom model has a greater percent error. The absolute error is the same for both.

Answers

Answer:

A C E

Both exact values are less than the approximate value.

The top model has a greater percent error.

The absolute error is the same for both.

Step-by-step explanation:

Answer:

Both exact values are less than the approximate value.

The top model has a greater percent error.

The absolute error is the same for both.

Step-by-step explanation:

PLEASE HELP! I’ll mark you as brainliest or whatever it’s called❤️

Answers

Answer:

45% of 280 is 126

126

Hope This Helps!

35% of 280 is 98. 100% of 280 is 280, therefore 35 percent of 280 equals 98

80% of 280 = 224

45% of 280 = 126

There are 6 options on the dessert menu at a restaurant. Akira and Paula like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.167
0.028
0.033
0.972

Answers

The probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert is; B: 0.028

What is the probability of selection?

We are told that;

There are 6 dessert options menu.

Now, Akira and Paula like all of the choices equally. Thus, probability of selecting any of the 6 menus will be; P(select 1 menu) = 1/6

Thus, probability that they select the preferred menu written in the question is; P(both select 1 menu) = 1/6 * 1/6 = 0.028

Read more about Probability at; https://brainly.com/question/251701

Question is in the picture:

Answers

Answer:

here

Step-by-step explanation:

For the first one shade 38 squares

For the second one shade 65 of the squares

#1 is 38%

#2 is 65%

Answer:shade 19 out of 50 bloxks

Step-by-step explanation:

it shows on page

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