Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

Answer:

The correct option is;

Angle Addition Postulate;

Step-by-step explanation:

The given two column proof can be presented as follows;

Statement                      [tex]{}[/tex]                          Reason

1. ∠PQR is a right angle      [tex]{}[/tex]                     Given

2. m∠PQR = 90°       [tex]{}[/tex]                                Definition of Right Angle

3. m∠PQS + m∠SQR = m∠PQR      [tex]{}[/tex]         Angle Addition Postulate

4. m∠PQS + m∠SQR = 90°      [tex]{}[/tex]                 Substitution property of equality

5. ∠PQS and ∠SQR are complementary Definition of complementary angles

Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;

m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;

m∠PQR = m∠PQS + m∠SQR = 90°.

Answer:

f(-2) = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 8x² + 5x - 2

x = -2

Step 2: Evaluate

Answer:

75 shots and 15.1%

Step-by-step explanation:

Answer:

y = 10x

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 10

y-intercept b = 0

Step 2: Write function

Plug in variables into the general form.

y = 10x + 0

y = 10x

Answer:

y = 10x

Step-by-step explanation:

Equation of a line: y = mx + b

y = 10x + 0 is also y = 10x

The events of picking marbles from the jar is independent

An event is independent if the occurrence of one event does not depend on another event.

For example, if you toss a coin and it lands on its head. You then flip another coin and it lands on its tail. These two events are independent. The face the second coin lands on do not depend on which face the first coin lands on. Also, the face that the first coin lands on does not depend on which face the second coin lands on.

In this question, after the first marble is picked, you do not return the first marble into the jar. Then you pick a second marble. The colour of the second marble does not depend on the colour of the first marble you picked. This means that the events are independent.

To learn more about independent events, please check: https://brainly.com/question/1393117?referrer=searchResults

Answer:

line CN is the altitude and AE is the median if i am correct

Step-by-step explanation:

Answer:Because both result in the equation 8x = 400 which simplifies to 50.

 Step-by-step explanation:

Answer:

50

Step-by-step explanation:

no need

Answer:

x = -2, y = -4

x = -1, y = -1

x = 0, y = 2

x = 1, y = 5

Step-by-step explanation:

Just apply the formula into the different values for x.

x = -2

y = 3(-2) + 2

  = -6 + 2

  = -4

x = -1

y = 3(-1) + 2

  = -3 + 2

  = -1

x = 0

y = 3(0) + 2

  = 0 + 2

  = 2

x = 1

y = 3(1) + 2

  = 3 + 2

  = 5

Answer:

C.

Step-by-step explanation:

Hope this helps.

Answer:

See attached graph, and answers.

Step-by-step explanation:

The inequalities are given as;

i) y>3x+10

ii) y<-3/4x -1

Graphing the inequalities gives the following result

The solution area is that which is shaded and the lines are broken lines not complete

From the graph the solution is:  { -2.9,1.2}

The point {8,10} is not a solution to the system. This is because it is not in the shaded area that represent the solution to the inequalities.

Answer:

$40

Step-by-step explanation:

The use of the word "mental math" means round to the nearest whole. By doing this you turn $12.98 into $13 and $1.02 into $1 which will give you $40 in total. This problem doesn't need to round as it is a simple problem. The true answer is $12.98 + $17.50 + $8.50 +$1.02= $40.

목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.

Answer:

depth = 6th + 2(number of years)

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

Explanation:

Look through the table to see when f(x) = g(x)

This happens when both are equal to 1, which is in the fourth row, or when x = -1.

In other words,

So f(-1) = g(-1)

We can then say the solution to f(x) = g(x) is x = -1.

Answer:

1250 Kilometers.

Step-by-step explanation:

Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.

Answer:

[tex]1250km[/tex]

Step-by-step explanation:

To find how far the plane can travel in [tex]1.5[/tex] hours, we need to first find the speed of the plane.

It is given that the plane can travel [tex]5000[/tex] kilometers in 6 hours, so the following equation can be written:

[tex]s = 5000km/6hours[/tex] ([tex]s[/tex] refers to the speed of the plane)

[tex]= 833\frac{1}{3}km/hour[/tex]

To find how far the plane travels in [tex]1.5[/tex] hours, we can multiply the distance it travels in 1 hour to [tex]1.5[/tex] hours:

Distance travelled [tex]= 833\frac{1}{3}\times 1.5[/tex]

[tex]=1250km[/tex]

Hope this helps :)

Answer:

Slope = 4.000/2.000 = 2.000

Slope = 2.000/2.000 = 1.000

Step-by-step explanation:

the first answer is for the first problem and the second answer is for the second problem. Hoped it helped i tried my best.

Answer:

32

Step-by-step explanation:

Factorize:

64= 2x2x2x2x2x2

160= 2x2x2x2x2x5

224=2x2x2x2x2x7

If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.

Hope this helps plz hit the crown :D

The greatest common factor of 64,160, and 224 will be 32.

The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.

Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.

Factorize number 64.

64 = 2x2x2x2x2x2

Factorize the number 160.

160 = 2x2x2x2x2x5

Factorize the number 224.

224 = 2x2x2x2x2x7

The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.

To know more about the greatest common factor follow

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Answer:

The value of x is -1 when h(x) = 0

Step-by-step explanation:

Given function is:

[tex]h(x) = 4x+4[/tex]

The function is a linear function with one input.

We have to solve for x when h(x) = 0 this means that we have to put h(x) = 0 and find the value of x.

So,

[tex]h(x) = 0\\4x+4 = 0[/tex]

Subtracting 4 from both sides

[tex]4x+4-4 = 0-4\\4x = -4[/tex]

Dividing both sides by 4

[tex]\\\frac{4x}{4} = \frac{-4}{4}\\x = -1[/tex]

Hence,

The value of x is -1 when h(x) = 0

Answer:

The pants from the local store would be $72.00

the pants from the online store would be $85.00

the difference in price is $13.00

therefore the pants from the local store would be cheaper

Step-by-step explanation:

IM NOT SURE IF THIS ANSWERS YOUR QUESTION PLEASE CLARIFY!!!!

Answer:

50°

Step-by-step explanation:

Sum of interior angle is equal to the sum of exterior angle

Answer:

The width of the rectangle is 20 inches.

Step-by-step explanation:

Since the ratio of length to width is 6:5, the width will be 5/6 of the length. To find 5/6 of 24, multiply 24/1 by 5/6 and simplify. (24/1 is the fraction form of 24 and makes solving the problem a little easier.)

— 24/1 * 5/6 = 120/6

— 120/6 = 20

The width of the rectangle is 20 inches.

Answer:

16x^2+24xy+9y^2

Step-by-step explanation:

16x^2+24xy+9y^2

Answer:

y = -7x + 30

Step-by-step explanation:

Answer:

b=

2

27

​

=13.500

Step-by-step explanation: