Evaluate the expression.
(15 + 6) divided by 3

Answer:

1) (-3,-2)

2) x=-3

Step-by-step explanation:

1) The vertex of a parabola is the turning point that is the minimum or maximum of the graph, based on the shape of the parabola. In this case, the vertex is the minimum. By looking at the coordinate points, we can tell that the minimum value where the graph changes the direction is at (-3,-2).

2) The line of symmetry is the line on the graph that cuts the shape exactly in half. This means that if you were to fold the graph along this line, the two sides would be identical. All parabolas have a line of symmetry and it always matches the vertex. The equation for the line of symmetry will be x= whatever the x-value of the vertex is. So, for this graph, the line of symmetry is x=-3.

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]2x-1=x+4\\2x=x+5\\x=5\\\text{Check:}\\2(5)-1=5+4\\10-1=9\\9=9\\9\cdot 2 +7=18+7=25[/tex]

Answer:25 ft

Step-by-step explanation:

This triangle is an isosceles triangle (2 sides are congruent), we see this because is two angles of a triangle is congruent, then the two opposite sides are congruent.

From this information, we can say that 2x-1 = x+4

Add 1 on both sides to get 2x=x+5

Then minus x on both sides to get x=5

Next, plus x into the two equations separately.

1) 2 times 5-1

2 times 5 is 10

10-1=9

2) 5+4=9

Finally, add the sides together to get the answer.

9+9+7=25ft

Hope this helped!

[tex]\sqrt[3]{8x^3}\implies \sqrt[3]{2^3x^3}\implies \sqrt[3]{(2x)^3}\implies 2x~\hfill y=\stackrel{m}{2} x\stackrel{b}{+8} \\\\[-0.35em] ~\dotfill\\\\ \boxed{A}\qquad m = 2\\\\ \boxed{B}\qquad b = 8\\\\ \boxed{C}\qquad 0=2x+8\implies -8=2x\implies \stackrel{~\hfill y-intercept}{\cfrac{-8}{2}=x\implies -4=x}[/tex]

Answer:

[tex]1\frac{7}{30}[/tex]

Step-by-step explanation:

[tex]\frac{7}{10}+\frac{8}{15}\\ \\ \frac{21}{30}+\frac{16}{30}\\\\\frac{37}{30}\\\\1\frac{7}{30}[/tex]

I think its 1 7/30 not really suree tho

Step-by-step explanation:

Answer:

Option A and B

Step-by-step explanation:

change in pounds lifted per day?

Initial amount of pounds weighted on day 0

Answer:

☑ y-intercept

Step-by-step explanation:

» Considering the general linear equation:

[tex] \hookrightarrow \: { \tt{y = mx + c}}[/tex]

» Then back to our question, compare the both equations;

[tex]{ \tt{y ={ \green{ m}}x + { \green{c}} }}\\ \downarrow \\ { \tt{y = { \green{0.23}}x + { \green{225}}}}[/tex]

[ In some proportional equations, 225 can be an additional constant ]

Answer:

It can sometimes be difficult to divide fractions, such as 3/7 divided by 1/5. But it's no problem! We have displayed the answer below: 3/7 ÷ 1/5 = 2 1/7

Step-by-step explanation:

Answer:

» Assume it is a direct proportionality:

[tex]{ \rm{N \: \alpha \: \: S}}[/tex]

» Fomulate the equation:

[tex]{ \rm{N = kS}}[/tex]

» When N is 1, S is $1700 + 80

[tex]{ \rm{1 = k(1700 + 80)}} \\ { \tt{k = \frac{1}{1780} }}[/tex]

» Equation becomes:

[tex]{ \rm{N = \frac{S}{1780} }} \\ \\ { \boxed{ \rm{ \red{ \:S = 1780N }}}}[/tex]

»

Answer: You are right.

Step-by-step explanation: The amount of gas you have will only get you 115.2 Miles and the gas station is 116 miles away.

19.2 % 3 = 6.4

6.4 x 18 = 115.2

Answer:

your brother is wrong as you will be away from gas station by about 8 tenths of a mile short

Step-by-step explanation:

19.2÷3 = 6.4

6.4×18 = 115.2

Answer:

A)

Step-by-step explanation:

rise/run

down 5, left 3

Answer:

I think its 15% of a litre

Step-by-step explanation:

Answer:

15.5 miles per gallon

Step-by-step explanation:

31/2=15.5 so its 15.5 miles per gallon or 31 miles with 2 gallons

Answer:

10816288

Step-by-step explanation:

     7088

      1526  

   42528

   141760

3544000

7088000  

108116288

Answer:

I think its B 36° its an acute angle

Answer:

84

Step-by-step explanation:

∠ABE° = 90  - 30 = 60

∠BFC° = 180 - 144 = 36

60 + 36 = 96

∠BEF° = 180 - 96 = 84

Answer:

it would be 2 quarters

Step-by-step explanation:

because 25cents=8minutes and 8+8 is 16 one over 15

Time = Distance / speed

Time = 20 miles / 12mph

Time = 1 and 2/3 hours ( 1 hour and 40 minutes)

Answer:

[tex](\frac{-9}{2},\frac{11}{2})[/tex]

Step-by-step explanation:

you have to use the midpoint formula which is

[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

so you plug your numbers in

[tex](\frac{-12+3}{2},\frac{-3+-8}{2})[/tex]

Add the tops

[tex](\frac{-9}{2} ,\frac{-11}{2} )[/tex]

if possible simplify

and that is your answer

Answer:

F. 5±√15/3

Step-by-step explanation:

NONE OF THESE ANSWER CHOICES ARE CORRECT, F IS JUST THE CLOSEST ONE

Quadratic formula is x = (-b±√(b^2-4ac))/2a

in this case, a=3, b=(-10), and c=5

When you input those values into the equation, you get x = (-(-10)±√(-10^2-4(3)(5))/2(3)

When you solve that equation, you get

x = 5±√10/3

F is the closest option to that answer so I chose F

Please mark as brainliest ;)

Answer:

Show me a picture of what youre asking.

Step-by-step explanation:

we need a more in depth questiin

Answer:

112°

Step-by-step explanation:

angle wvu = wvz+zvu

= 62+50= 112

Answer:

The solution can be broken into 2 steps:

The first will be to have all variations with the first digit being 2. So the variations for the First digit x1 can be one only and that is 1. The variation for the second digit x2 can be either 3, 5, or 6 as 2 is already taken and 1 cannot be as the 5 digit number should be greater than 23000. The variation for the third digit can be the other 3 digits possible. So x3 is 3. The variation for the fourth digit can be the other 2 digits. Do x4 is 2. The variation of the fifth digit is left to be 1. So x5 is 1. So total combinations are 1*3*3*2*1=18.

The first digit can be 3, 5, or 6 as 1 is not allowed and 2 is taken. So x1 is 3. x2 is the other 4. x3 is 3. x4 is 2 and x1 is 1. So the combinations are 3*4*3*3*1=72.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

8 piece of cakes times 5 pieces per cake = 40 pieces for the total cakes

The variance of the score for younger women is 0.6875 while that of the older women is 1.4844.

From the complete question, the mean will be:

= (8 + 6 + 6 + 7 + 8 + 7 + 8 + 8) / 8

= 7.25

The variance will be:

= (8 - 7.25)² + (6 - 7.25)² + (6 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² - (8 - 7.25)² / 8

= 0.6875

The mean of the older women will be:

= (7 + 5 + 8 + 5 + 7 + 6 + 8 + 5) / 8

= 6.375

The variance will be gotten by subtracting the mean from each value and doing it exactly as above. This will be 1.4844.

Lastly, since the variance for younger women is less than that of the older women, the score for younger women is less consistent.

Learn more about variance on:

https://brainly.com/question/25639778

Answer:

30°

Step-by-step explanation:

The area of a triangle given sides a and b and angle C is:

area = (ab × sin C)/2

Here we are given sides a and c, and we are looking for angle B, so we have

area = ac × sin B

12 cm² = [(8 cm)(6 cm)(sin B)]/2

24 = 48sin B

sin B = 0.5

B = 30°

Answer:

You would get .0045

The decimal point would move 4 places to the left

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

Fp: frequency that the pitcher will throw exactly 4 pitches to a batter=15

Fa: frequency that the pitcher will throw any pitches to a batter=15+20+40+15+10=100

P=Fp/Fa=15/100=0.15

The probability that the pitcher will throw fewer than 3 pitches to a batter is 0.35

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

Thus the probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown.

Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule of the probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or

P(X = 2) = P(X = 1) + P(X = 2)

= 0.15 + 0.2

= 0.35

Hence, The probability that the pitcher will throw fewer than 3 pitches to a batter is 0.35

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

Step-by-step explanation:

to find the slope you do, [tex]m=y{2}-y{1}/x2-x1\\ m=16/-4\\ m=-4\\[/tex]The new equation is going to be y=-4x+b, to find b you plug one of the points you are given and solve for b. [tex]-6=-4(1)+b\\-6=-4+b\\-2=b[/tex]the you use the info and you should get y=mx+b, which in this case is y=-4x-2

Hope that helps for the other one.