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What is the vertex of the parabola with the equation y=15x^2+2x−8?

Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

hope it helps :)

mark brainliest!!

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

Answer:

92 dollars each luv:)

Step-by-step explanation:

Answer:

a. $ 583

b. $ 30,316

Step-by-step explanation:

a). 0.11 * 5,300= $ 583 per week( commission )

b). In 2011, 52 weeks.

52* 583 =$ 30,316

Answer:

[tex]y=\frac{1}{2} x+4[/tex]

Step-by-step explanation:

so the last option

hope this helps!

Step-by-step explanation: 10 / х - 4 = 2 ; 6 - 5у = - 4, 5 ; 2у + 1 / 3 = 5 ; 6, 2 / 3у + 1 = 2.

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.

The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.

The steps required to construct the line are:

ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.

The construction to this question is attached to this answer for more clarifications.

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Answer:

Step-by-step explanation:

Mark the two points (-1,7) and (1,-1) on the graph.  Then draw a straight line between them.  To determine the equation that goes through these two points, we can use the two given points to find the slope of the line.  The standard form of a straight line equation is

y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x = 0).

Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x.  We can use the two points to calculate this:

       Rise (-1-(7) = -8   Run = (1 - (-1) = 2

The slope is therefore (-8/2) or -4.  

y = -4x + b

We can find b by entering either of the two points in y = -4x + b and solve for b.  I'll use (1,-1) since I have my 1's multiplication table memorized

y = -4x + b

-1 = -4(1) + b

b = 3

The straight line equation that connects the two points is

  y = -4x + 3

You can graph this equation (e.g., on DESMOS) to see how it intersects the points.  [Attached]

The coordinates of the y intercept are (0,3).

The coordinate of the y-intercept of the line is (0, 3)

The equation of a line in slope-intercept form is expressed as y = mx + b.

where:

Given the coordinate points (-1, 7) and (1, -1).

Get the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]

Get the y-intercept:

Recall that y = mx + b

Using the coordinate point (1, -1) and m = -4

-1 = -4(1) + b

-1 = -4 + b

b = -1 + 4

b = 3

The equation of the line is y = -4x + 3

The y-intercept occurs at the point where x = 0

y = -4(0) + 3

y = 0 + 3

y = 3

Hence the coordinate of the y-intercept of the line is (0, 3)

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Answer:

A

Step-by-step explanation:

To change a fraction to a percentage, multiply by 100%

[tex]\frac{30}{200}[/tex] × 100%

= 0.15 × 100%

= 15% → A

Answer:

   AC = 24

Step-by-step explanation:

DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...

  2·DE = AC

  2(2x -14) = 3x -15

  4x -28 = 3x -15 . . . . . eliminate parentheses

  x = 13 . . . . . . . . . . . . . add 28-3x to both sides

AC = 3x -15 = 3(13) -15

AC = 24

_____

Additional comment

DE = 2(13) -14 = 12, half the length of AC.

Answer:

-3

Step-by-step explanation:

Solution of the equation is y = -3.

What is the solution of the equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.

Given expression (3/4)y+1/4= 1+y.

simplify each term,

(3/4)y + 1/4 = 1+y

Move all terms not containing y to the right side of the equation,

(3/4)y - y = 1-1/4

(-1/4)y = 3/4

Since  both side of the expression has the same denominator, the numerators must be equal.

y = -3

Solution of the equation is y = -3.

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Answer:  Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.

Answer:

x = 10

Step-by-step explanation:

The value x is 10 units.

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.

Given that, segment DE is a midsegment of triangle ABC.

According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore, DE = 1/2 AB

5 = 1/2x

x = 5×2

x = 10

Hence, the value of x is 10 units.

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Answer:

The third answer is the correct one.

Answer:

Step-by-step explanation:

According to segment addition postulate we have:

We are given:

Then substitute values into the first equation:

Find the length of AB:

Answer:

Umbrella goes up when rain comes down.

Answer:

a. 5

Step-by-step explanation:

Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:

[tex]3*15 = 45[/tex]

Sophia has 45 total pieces of candy.

If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:

[tex]45[/tex] ÷ [tex]9=5[/tex]

Therefore, each party bag will have 5 pieces of candy in it.

Answer:

A. 5

Step-by-step explanation:

A, since you can follow these steps:

First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.

In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.

The result - from 3(15) - is 45 total pieces of candy.

Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).

So the result is 45/9, which then results in 5 pieces of candy for 9 guests.

I hope this helped a bunch! Tell me if you need any further assistance...

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Answer:

Step-by-step explanation:

y=−5/2x−11 so slope is -5/2

y-intercept means when x is zero, then what is y? the answer is -11. So the y-intercept is (0 , 11)

mark brainliest plz

Answer:

$756

Step-by-step explanation:

To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so

63%=.63

.63 x 1200

Answer:

∠ABC ≅ ∠DBE 

Step-by-step explanation:

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The triangle ΔABE is congruent to the triangle ΔACE. Then we have

AB = AC

∠BEA = ∠CEA

BE = CE

In triangles ΔDBE and ΔDCE, then we have

AB = AC                          (Given)

∠BEA = ∠CEA                 (Given)

DE = DE                           (Common sides)

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

More about the triangle link is given below.

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Answer:

1. 8

2. 4

3. 5

4. 8/125

5. 4/3

6. 6

7. 8

8. 2

Step-by-step explanation:

This is true believe me I checked each one :)

Answer:

3 2 /5 ×3

change 3 2 /5 into an improper fraction

then you will get 17 /5

after that you say 17/5 ×3/1

=(17×3)/ (5x1)

=51/5 (51÷5)

=10.2/ 10 1/5

[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]

[tex]10 \frac{1}{5} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

Answer:

32a-18

Step-by-step explanation:

add together the side lengths:

10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18

Answer:

32a-18

Step-by-step explanation:

you just sum it all together

Answer:

19

Step-by-step explanation:

31 + 49 = 80

80 - 61 = 19

The two friends have the shortest distance between them are Carrie and Nayla.

In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.

The first step is to determine the value of x:

20x + 7) + (5x + 50) + (5x + 3) = 180

Add similar terms togethers

30x + 60 = 180

Combine similar terms

30x = 180 - 60

30x = 120

x = 120 / 30

x = 4

The second step is to determine the value of each angle

Nayla = 20(4) + 7 = 87

Carrie = Second angle = 5(4) + 50 = 70

Maria = Third angle = 180 - (70 + 87) = 23

Nayla and Carrie live closest to each other

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Rabbitton: 34 / 8 = 4 1/4

Rabbit Ville: 48 / 14 = 3 3/7

Rabbitton has more rabbits per garden

Answer:

4.975 meters

Step-by-step explanation:

[tex]f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975[/tex]

4.975 meters

-Chetan K

Answer:

x = -4

Step-by-step explanation:

x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°

x + 63 + x + 125 = 180°

2x  + 188 = 180

2x = -8

x = -4

-Chetan K

Answer:

x=-4

Step-by-step explanation:

(x+125)+(x+63)=180

125+63=188

180-188= -8

-8/2= -4