find the vertex of y=-x²-4x+12

Answers

Answer 1
the vertex is (-2, 16)

Related Questions

jada made a four sided shape with two pairs of parallet lines four right angles

which two shapes could Jada have made ​

Answers

D is your answer I think

Step-by-step explanation:

D is your answer

can someone please help me figure this out? this is a summative and I'm failing for the year. it's algebra 1. ​

Answers

Part (a)

x = number of bass caughty = number of trout caught

x and y are nonnegative whole numbers.

3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds.  Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.

In short, we end up with the equation 3x+2y = 34

Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.

The second equation is 5x-2y = 14

------------

Answer:

3x+2y = 34

5x-2y = 14

Both equations are needed to form this particular system.

===================================================

Part (b)

We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).

===================================================

Part (c)

Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.

3x+5x becomes 8x2y + (-2y), aka 2y-2y, becomes 0y and the y terms go away34+14 simplifies to 48

After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.

Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y

3x+2y = 34

3(6)+2y = 34

18+2y = 34

2y = 34-18

2y = 16

y = 16/2

y = 8

So we can see that Pat caught 8 trout as well.

The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.

Solution: (x,y) = (6,8)

Interpretation: Pat caught 6 bass and 8 trout

Jenna is opening a clothing store. She plans to start by selling T-shirts. If it
costs her $7 for each shirt, $2 for ink per shirt, and $0.10 a bag, what is her
unit cost per shirt?
O A. $9.10
O B. $2.10
O c. $4.55
O D. $7.00

Answers

A)$9.10 $7.00+$2.00+$0.10=$9.10

Her unit cost per shirt is,

= $9.10

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Jenna's unit cost per shirt is, $9.10

Here, We have;

Cost for each shirt = $7

Cost for ink per shirt = $2

Cost of a bag = $0.10

Hence, Cost of T-shirt is,

= Cost for each shirt + Cost for ink per shirt + Cost for bag

= $7 + $2 + $0.10

= $9.10

Thus, Her unit cost per shirt is,

= $9.10

Learn more about the addition visit:

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Simon is playing a game with letter tiles.

Answers

Answer:

so what should I do

Step-by-step explanation:

hope it helps

Give the trigonometric ratio as a fraction:
Tan Z
X
24
26
Y
10
z

Answers

Answer:

your answer is B

Step-by-step explanation:

Answer:

24/ 10

Step-by-step explanation:

We know,

tan θ = opposite/adjacent

∴ tan Z =  24/ 10

how to represent -23/6 on number line​

Answers

Change the improper fraction to mix number
So -23/6 = -3 5/6
Make a number line with (on the left) -4, -3, -2 -1 , 0 , 1, 2, 3, 4
Then put a dot very close to -4 BUT not on -4

please help. The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

Answer:

(-4,0) (-5,0) and (1,0)

Step-by-step explanation:

I need help pls! Giving brainliest and extra points!

Answers

Answer:

y = 8x+6

Step-by-step explanation:

First find the slope since it is a linear function

m = (y2-y1)/(x2-x1)

    = (18-2)/(1 1/2 -  -1/2)

    =16 /  (1 1/2 +1/2)

    = 16/2

  = 8

The linear function is in the form

y = mx+b where m is the slope

y = 8x+b

Substitute the other point into the equation to determine b

10 = 8(1/2) +b

10 = 4+b

10-4 = b

6 = b

y = 8x+6

Ellie is running down the street at 10 m/s. She sees a double-tall latte on the road ahead of her and starts sprinting. After 5 seconds have passed, Ellie is running 15 m/s. Assuming she does not change directions, what was Ellie’s acceleration?

Answers

Answer:

2m/s²

Step-by-step explanation:

acceleration = change in velocity/time taken

a  = v-u/t

Given

v = 15m/s

u = 5m/s

time t = 5secs

Substitute

a = 15 - 5/5

a = 10/5

a = 2m/s²

Hence Ellie’s acceleration is 2m/s²

Given sin theta=1/3 and 0 < theta< π/2; find tan 2 theta.

Answers

Answer:

tan2θ = 4√2/7

Step-by-step explanation:

Given sin theta=1/3 and 0 < theta< π/+

Required

tan 2 theta

tan2 theta = 2tanθ/1-tan²θ

Get tan θ

sinθ = opp/hyp

adj = √3²-1²²

adj = √9-1

adj = √8

tanθ = opp/adj = 1/2√2

tan2 theta = 2(1/2√2/1-(1/2√2

tan2θ = 1/√2/1-1/8

tan2θ = 1/√2/7/8

tan2θ =  8/7√2

Rationalize

tan2θ = 8√2/14

tan2θ = 4√2/7

If two planes intersect then they intersect in exacly ___ lines

Answers

Parallel lines they intersect in parallel lines

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP I GIVE BRAIBEST

Answers

Answer:

[tex]speed = \frac{Distance}{time}[/tex]

York Canal

Distance = 5miles

Time = 15 minutes

[tex]speed = \frac{5}{15} = \frac{1}{3} miles\ per \ minute[/tex]

Stover Lake

Same speed  , S = 1/3 miles per minute

Time = 30minute

[tex]Distance = speed \times time = \frac{1}{3}\times 30 = 10 miles[/tex]

[tex]Distance_{York} = 5 miles\\\\Distance_{Stover} = 10 miles\\\\[/tex]

Clearly, Distance travelled in York in half the distance travelled in Stover

option. 3

Calculate the volume of a cube with side length of 7mm.

Answers

Answer:

[tex] {7}^{3} = 7 \times 7 \times 7 = 147 {m}^{3} \\ to \: calculate \: the \: volume \: of \: a \: cube \: we \: need \: to \: use \: this \: formula \\ {x}^{3} \\ x = side \: length[/tex]

hiii please help!! i'll give brainiest if you get it correct - find the volume.

Answers

Answer:

Step-by-step explanation:

volume=area of side triangle×distsnce between triangles

=1/2×20×8×5

=400 in³

Answer:

the answer would be 400

Step-by-step explanation:

20×8×5×.5

Multiply. Express your answer in simplest form. 3 1/2 x 1 2/5. Show work.

Answers

Answer:

4 9/10

Step-by-step explanation:

Help pls 40 points
Maths genius awakee!

Two experiments were carried out to find the relationship between the variables x and y. Both
experiments showed that the relationship between x and y is in accordance to 3(9^x) = 27^y and log2 y = 2 + log2 (x - 2). Find the value of x and y that satisfy both experiments.

Answers

Answer:

X=5/2 , y=2

Step-by-step explanation:

Sorry if I'm not correct

F4 ke?

x = 2.5
y = 2

Explanation:

3(9^x) = 27^y
3(3^2x) = 3^3y
3^(2x + 1) = 3^3y
2x + 1 = 3y
2x - 3y = -1, first equation

log2 y = 2 + log2 (x - 2)
log2 y = log2 (2^2) + log2 (x - 2)
log2 y = log2 (2^2 x [x - 2])
log2 y = log2 (4x - 8)
y = 4x - 8
8 = 4x - y
4x - y = 8, second equation

Multiply the second equation by 3
12x - 3y = 24, third equation

Subtract the first equation from the third, cancelling the positive and negative 3y
It results in:
2x - 12x = - 1 - 24
-10x = -25
x = 2.5

Substituting x = 2.5 in equation (1)
2(2.5) - 3y = -1
5 - 3y = -1
-3y = -6
y = 2

solve the inequality 14≥3x+2

Answers

Answer:

4 ≥ x

Step-by-step explanation:

14 ≥ 3x + 2

14 - 2 ≥ 3x

12 ≥ 3x

4 ≥ x

Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.

What is inequality?

In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Given:

14 ≥ 3x+2

Switch sides

3x+2 ≥ 14

Subtract 2 from both sides of the equation, we get

3x + 2 - 2 ≥ 14 - 2

Simplifying the above equation

3x ≥ 12

Divide both sides by 3, we get

3x/3 ≥ 12/3

x ≥ 4

Therefore, the value of x ≥ 4.

To learn more about inequality

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Devon writes a number pattern. He starts with 3 and follows the rule “multiply by
2." Which numbers could be in Devon's pattern

Answers

Answer:

3,6,12,24.48,96,192

Step-by-step explanation:

How do you do that problem i am having trouble

Answers

Answer:

The answer is A

Step-by-step explanation:

We can tell by finding out what each points coordinates are.

Its quite hard to describe how to do this on a phond yet you use the rule of

X coordinate first, then Y coordinate.

so (-5,5). -5 is the x coordinate

and 5 is the y coordinate.

Graphs can be quite difficult but for now, just remember x is across and y is up.

Good luck with future questions!

A car wash detailed 288 cars in 8 hours. At what rate did the car wash detail cars in cars per hour?
A.
34 cars per hour
B.
37 cars per hour
C.
36 cars per hour
D.
35 cars per hour

Answers

Answer:

a

Step-by-step explanation:

what is the answer to this problem?

Answers

Answer is c because if count the sides of how many spaces are there

60% of the students on the field trip love the museum. If 24 students love the museum, how many students went on the field trip?

Answers

Answer:

40

60% of 40 is 24

so the answer would be 40

Which of these is the cross section if the slice is made perpendicular to the base?

A. square
B. triangle
C. rectangle
D. rhombus


***(NO LINKS AND ANSWER SERIOUSLY)***​

Answers

Hi there!

[tex]\large\boxed{\text{ C. Rectangle}}[/tex]

If cross sections were made perpendicular to the base, they would assume the shape of the lateral sides.

Thus, the cross sections would be rectangles. The correction answer is C.

Please help me with this.

Answers

Answer:

maybr 6,9,0

Step-by-step explanation:

I need helppp pls I’m confused

Answers

Answer:

30 ft²

Step-by-step explanation:

Area of a paralleogram formula:

A = bh

A = (6)(2)

A = 12

Area of a rectangle:

A = bh

A = 6(3)

A = 18

Combined:

12 + 18

30

formula of slope , if angle is give​

Answers

Formula of a slope: y=mx+b.

Answer:

formula of slope if angle is given:

Tan (angle given)

Step-by-step explanation:

The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office.

Two box and whisker plots showing weights of cats and dogs on a number line from 0 to 100. The upper plot represents the dog weights. For this upper plot, the minimum number is 10, the maximum number is 95, the right side of the box is 70, the left side of the box is 35, and the bar in the box is at 50. The lower plot represents cat weights. For this lower plot, the minimum number is 1, the maximum number is 18, the right side of the box is 13, the left side of the box is 6, and the bar in the box is at 10.

How many more dogs than cats were over 10 pounds?

10

30

50

100

Answers

Answer:

100

Step-by-step explanation:

Find m p (8x+2)
q (10x-19)
r (16x-7)

Answers

Answer:

you have to add all the angles of a triangle so the value of m is 6

SOLVE 23 ASAP PLEASE!!

Answers

A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )

_________________________________

Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]

Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]

Slope = [ 3 ] ÷ [ 4 + 3 ]

Slope = 3 ÷ 7

Slope = 3/7

_________________________________

y - y(A) = Slope × ( x - x(A) )

y - 2 = 3/7 × ( x - ( - 3 ) )

y - 2 = 3/7 ( x + 3 )

y - 2 = 3/7 x + 9/7

y = 3/7 x + 9/7 + 2

y = 3/7 x + 9/7 + 14/7

y = 3/7 x + 23/7

How is 80.106 written in expanded form?
Pls answer !!

Answers

Answer:

B

Step-by-step explanation:

This is pretty self explanatory and easy..

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