Use the discriminant to determine the number of real solutions to the equation. −8m^2+2m=0

Answer:

a) First Average mean = 21

b) Current mean = 22

Step-by-step explanation:

Formula For mean =

Sum of Terms/ Number of terms

a)Sandy had test scores of 20, 25, 17, 22, and 21.

Number of terms = 5

Mean = (20 + 25 + 17 + 22 + 21)/5

= 105/5

= 21

b) On the next 3 test Sandy's score were 24, 24, and 23

To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.

Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8

Mean = 176/8

Mean = 22

Answer:

18

Step-by-step explanation:

30-60-90 triangles have a set of x values that you can plug your numbers into.

we know that the side length opposite to 30 is x

the side length opposite to 60 is xsqrt3

the side length opposite to 90 is 2x

from this we can gather that y=2x where x=9 therefore y=18

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

Answer:

the answer is $27.90

Step-by-step explanation:

if you do 15 times 2.79 you will get $41.85

then do 25 times 2.79 and you will get $69.75

then subtract 69.75 from 41.85 and your answer will be $27.90

i hope this helps this is the only way i could find the answer!

$29.4864 money will you save by driving your friend's car.

Given that, your car gets 15 miles per gallon and your friend's car averages 25 mpg.

You decide to go on a road trip to St. George Island, which is 361 miles away.

A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces. 1 US gallon = 231 cubic inches = 3.785411784 liters exactly.

Gallons needed for your car =361/15=24.06 gallons

Cost of 24.06 gallons of gas=24.06×2.79=$69.774

Gallons needed for friends car =361/25=14.44 gallons

Cost of 4.44 gallons of gas=14.44×2.79=$40.2876

Hence, while driving a friend's car you will save 69.774-40.2876=$29.4864

Therefore, $29.4864 money will you save by driving your friend's car.

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Answer:

see explanation

Step-by-step explanation:

Since the player was sold for less than what was paid then a loss is made.

loss = 3500 - 2500 = 1000

percent loss = [tex]\frac{loss}{cost}[/tex] × 100% , thus

percent loss = [tex]\frac{1000}{3500}[/tex] × 100% ≈ 28.6% ( to 1 dec. place )

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.359 = 359 thousandths

0.35 = 0.350 = 350 thousandths

1 = 1.000 = 1000 thousandths

Since 350 < 359 < 1000, then from least to greatest you get

0.35, 0.359, 1

Answer:

x = -2

Step-by-step explanation:

since y is common in both equations, you can equate them to be equal

-2x² - 4x + 5 = 2x² + 4x + 5

4x² + 8x = 0

factor out 4x

4x(x + 2) = 0

divide both sides by 4x

x + 2 = 0

x = -2

Answer:

B. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.

Step-by-step explanation:

The expression are two linear equation and can be solved simultaneously

[tex]x - 12y = 2------------------1[/tex]

[tex]-4x + 7y = 12----------------------2[/tex]

1. we need to multiply each term in eqn 1 by 4 and add it to the other

original equation(2).

[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\[/tex]

Adding both 3 and 2 we have

[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\\\[/tex]

2. once we have gotten the value of y

we then substitute it in any of the equations to solve for x

Answer:

$120

Step-by-step explanation:

According to the information in the statement and taking into account that the price for renting the limo is fixed, you can say that the cost of renting the limo for 12 people is equal to the cost of renting it for ten. Then, the cost for 12 people is 12 for the cost per person which is equal to 10 for the cost per person and you can express it as follow:

x is the cost per person when the limo is rented by 10 people.

12*(x-2)=10*x

You can solve for x:

12x-24=10x

12x-10x=24

2x=24

x=24/2

x=12

Now that you have the cost per person when the limo is rented by 10 people, you can multiply this value for 10 to find the cost of renting the limo for the evening:

12*10=120

The answer is that the limo cost $120 for the evening.

Answer:

Upper Right

Step-by-step explanation:

All of them have different dips, therefore the one facing in a different direction must be the odd one out.

Answer:

top right graph

Step-by-step explanation:

3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.

The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.

Answer: top right graph

Answer:

248.96.

Step-by-step explanation:

We write  it as:

(2 + 0.2)^7 = 2^7 + 7*2^6*0.2 + 7C2*2^5*(0.2)^2 + 7C3*2^4(*(0.2)^3

= 128 + 89.6 + 26.88 + 4.48

= 248.96.

Answer:

B. Yes; diagonals of a parallelogram bisect each other.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Answer: B. Yes; diagonals of a parallelogram bisect each other.

If AE=EC and BE=DE then quadrilateral ABCD is a parallelogram because  diagonals of parallelogram bisect each other.

A parallelogram is a 2 dimensional figure whose opposite sides are equal to each other and parallel to each other. Area of parallelogram is base*height.

To be parallelogram ΔAEB and ΔEDC should be congruent.

Angle AEB= Angle DEC

AE=EC

DE=EB

so both triangles are congruent by side, side, angle.

Similarly AE=EC , DE=EB and vertical angles AED= Vertical angle BEC.

Therefore triangle AED and BEC are congruent and that makes all their corresponding sides are also congruent.

And AB=DC.

Hence both pairs of opposite sides of a quadrilateral are congruent ,then the quadrilateral is a parallelogram.

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Answer:

Increase in profit = 531.52

Step-by-step explanation:

I'll take your word for it.

What you'd need to do for each kind of pizza and price, multiply the number sold and profit/loss for each, and add them up.

Calculations have been tabulated and shown in the attached diagram.

Answer

Increase in profit

= 2221.88 - 1690.36

= 531.52

Answer:

[tex] 6\sqrt{6} [/tex]

Step-by-step explanation:

[tex] \sqrt{12}\sqrt{18} = [/tex]

[tex] = \sqrt{12 \cdot 18} [/tex]

[tex] = \sqrt{4 \cdot 3 \cdot 9 \cdot 2} [/tex]

[tex] = \sqrt{36 \cdot 6} [/tex]

[tex] = \sqrt{36}\sqrt{6} [/tex]

[tex] = 6\sqrt{6} [/tex]

Following are the step by step solutions to the given expression:

Given:

[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]

To find:

solve=?

Solution:

[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]

[tex]\to \sqrt{2\times 2 \times 3} \times \sqrt{2\times 3 \times 3} \sqrt{2 \times 3 \times 5} \\\\ [/tex]

[tex]\to 2\sqrt{3} \times 3\sqrt{2} \sqrt{2 \times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \sqrt{2\times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \times \sqrt{2}\times \sqrt{3} \times \sqrt{5} \\\\ \to 6 \times 3 \times 2 \times \sqrt{5} \\\\ \to 36 \sqrt{5}[/tex]

Therefore, the final answer is "[tex]36\sqrt{5}[/tex]"

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Answer:

(-2y-6)(-3y-8)

= 6y²+16y+18y+48

= 6y²+ 34 y +48

Hope this helps

if u have question let me know in comments ^_^

Answer:

Here is your answer!!!

Step-by-step explanation:

-2y(-3y-8)-6(-3y-8)

6y^2+16y+18y+48

6y^2+34y+48

Answer:

x = (y + 26)/5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

y + 6 = 5(x - 4)

Step 2: Distribute

y + 6 = 5x - 20

Step 3: Isolate x

y + 26 = 5x

Step 4: Isolate variable x

(y + 26)/5 = x

Step 5: Rewrite

x = (y + 26)/5

Answer:

y = 5x - 26

Step-by-step explanation:

Since x is the independent variable, you have to solve for y.

y + 6 = 5(x-4)

Now distribute:

y + 6 = 5x - 20

subtract the 6 from both sides

y + 6 - 6 = 5x - 20 - 6

y = 5x - 26

Answer:

$38

Step-by-step explanation:

cost of ticket for adult = $22

cost of ticket for youngster = $16

______________________________

cost of ticket for John's mom = $22 as she is adult

cost of ticket for john = $16 as he is young , his age is less than 18 years

Total cost of ticket for John and his mother = $22 + $16 = $38

Answer:

14 hours and 20 minutes

Step-by-step explanation:

11 hours + 2 hours = 13 hours

40 minutes + 40 minutes = 1 hour and 20 minutes

Then you add the answers together

13 hours + 1 hour 20 minutes = 14 hours and 20 minutes

Hope this helps

Answer:

860min or 13:80=14:20=2:20

Step-by-step explanation:

1 hour=60min

2 hours=120min

So, we will add 120min to 40 min

120min+40min=160min

1hour=60min

11hour=660min

So we will add 660min to 40min

660min+40min=700min

160min+700min=860min

2:40

+11:40

13:80

Hope this helps ;) ❤❤❤

Answer:

10

Step-by-step explanation:

m + 2p

2 + 2(4)

= 2 + 8

= 10

Answer:

10

Step-by-step explanation:

m +2p;

let m = 2, and p = 4​

2+2*4

2+8

10

Answer:

572 7s are needed to be added together

Step-by-step explanation:

Basically, what we are asked here is the multiple of 7 which is closest to but above 4,000

Then, from this multiple , the number of 7s which are added together to give it is our answer.

By multiplication; 7 * 572 = 4,004

This is the closest multiple of 7 to 4000 which is also above it.

So the fewest number of 7s which we can add together is 572

Answer:

a) 148.52

Step-by-step explanation:

If sum of two angles is 180, then they are supplementary

Ratio = 10 : 47

Smaller angle = 10x

Larger angle = 47x

10x + 47x = 180

57x = 180

Divide  both sides by 57

x = 180/57

x = 3.16

Larger angle = 47x = 47 * 3.16 = 148.52

Answer:

The systems of equation satisfying the problem are

Y= 4x+9

Y= -3x-5

Y= 2x+5.

Y= 5x+11

Y= 3x+7

Y= -x-1

Step-by-step explanation:

From the graph in the figure

The point A ; x= -2,y=1

So the equations that will interest at point A are the equations that both pass through the point A.

To know the equations that pass through the point A we solve them simultaneously.

For

Y = 10x-1

Y= -3x-5

0= 13x +4

X= -4/13..... definitely not this one

For

Y= 4x+9

Y= -3x-5

0= 7x +14

-14= 7x

-2= x

Substituting the value of x into Y= 4x+9

Y= 4x+9

Y= 4(-2)+9

Y = -8+9

Y= 1

So it's definitely this one

Let's check to know if there is any more

Y = 2x+5

Y= x-1

0= x +6

Definitely not this one

For

Y= 2x+5.

Y= 5x+11

0 = 3x+6

-6= 3x

-2= x

Y= 2x+5.

Y=2(-2)+5

Y= 1

Definitely this one

For

Y= 3x+7

Y= -x-1

0 = 4x +8

-8= 4x

-2= x

Y= -x-1

Y= -(-2)-1

Y= +2-1

Y= 1

Definitely this one too

The correct options are system of equations shown by options (B)[tex]Y= 4x+9 \ and \ y = -3x-5[/tex]

(D) [tex]y= 2x+5 and \ y= 5x+11[/tex]

and (E) [tex]y= 3x+7 \ and\ y= -x-1[/tex].

Given, Coordinates of point A is (-2,1).

We have to find which systems of equations intersect at point A in this graph.

The system of equation which satisfy the point A(-2,1) will intersect at point A.

On putting the value of x=-2 and y= 1, in 1st pair

the equation doesn't satisfy.

similarly checking all the options, we find that the below system equations intersect at point A.

[tex]Y= 4x+9 \ and y = -3x-5 \\y= 2x+5 and \ y= 5x+11\\y= 3x+7 \ and y= -x-1[/tex]

Hence the correct options are system of equations shown by options (B), (D) and (E).

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Answer:

1

Step-by-step explanation:

It starts with number one, so one must be the initial value of the sequence.

1

 Step-by-step explanation:

Answer:

Weight of apples = 1.72 kg

Step-by-step explanation:

Given:

Total mass of sale = 8.6 kg

Pears weight = 4/5 of total weight

Find:

Weight of apples

Computation:

Weight of apples = [1 - 4/5]Total mass of sale

Weight of apples = [1/5]8.6

Weight of apples = 1.72 kg

Answer:

A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6

Step-by-step explanation:

A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.

When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x units is moved to the left.

To solve -8 - (-2) = -8 + 2

Given a A number line from negative 10 to 10 with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.

Answer:

C (3rd option)

Step-by-step explanation:

simplified the top one

Answer:

D. 2,-1

Step-by-step explanation:

When a line is reflected by y=x, the x and y switch.

Answer:

75 of the adult ones and 150 of the children ones.

Answer:

(1, 2)

Step-by-step explanation:

'Undo' the rule on the image to get the pre-image.

[tex](4,3)\rightarrow(4-3,3-1)\rightarrow\boxed{(1,2)}[/tex]

(1,2) would be the pre-image to (4,3).

To see if it's correct:

[tex](1,2)\rightarrow(1+3,2+1)\rightarrow(4,3)[/tex]

(1,2) should be correct.

Answer:

the correct answer is (1,2)

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!!

Your required answer is optionD.

checking,

The 1st sequences are,

5,8,11,14

here,

now, use formula,

(an = 2n+3) in the sequences,

a1 = 2×1+3=5 = matching

a2= 2×2+3=7 = not matched

a3= 2×3+3= 9 = not matched

a4= 2×4+3=11 = not matched.

For 2nd sequences

3,5,7,9

Use the formula of an term,

a1 = 2×1+3=5 = not matched

a2 =2×2+3=7not matched

a3 = 2×3+3=9= not matched.

For 3rd sequences,

1,3,5,7

a1=2×1+3=5= not matched

a2=2×2+3=7= not matched

a3=2×3+3=9= not matched

a4=2×4+3=11= not matched

Now, for 4th sequences,

5,79,11

a1=2×1+3=5= matching

a2=2×2+3=7= matching

a3= 2×3+3=9= matching

a4=2×4+4=11= matching

Therefore, the answer is option D.

Hope it helps..

Answer:

4 cm

Step-by-step explanation:

Volume of milk

LBH

L= 8, B= 5 and H =12

5×8×12=480

After rotation

L= 8, B=15 and H=x

V=LBH

480=8×15×x

480=120x

x=4cm

Answer:

The depth of the milk is 4cm when turned

Step-by-step explanation:

First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)

5x8x12=480 cm^3

The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same

When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.

8x15xh=480

120h=480

h=4

The depth of the milk is 4cm when turned