which of the following statements is true? A. 15-0=0 B. 0÷15=0 C. 15+0=0 D. 15÷0=0​

The solutions are:

[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]

Solution:

[tex]f(x) = x^2 - 6x + 21[/tex]

We have to find solutions when f(x) = 0

[tex]x^2 - 6x + 21 = 0[/tex]

Solve by quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-6,\:c=21\\\\x=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]

[tex]x = \frac{6 \pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}\\\\Simplify\\\\x = \frac{6 \pm \sqrt{36 - 84}}{2}\\\\x = \frac{6 \pm \sqrt{-48}}{2}\\\\x = \frac{6 \pm i \sqrt{48}}{2}\\\\simplify\\\\x = \frac{6 \pm 4\sqrt{3}i}{2}\\[/tex]

[tex]x = 3 \pm 2 \sqrt{3} i[/tex]

We have two solutions:

[tex]x = 3 + 2 \sqrt{3} i\\\\x = 3 - 2 \sqrt{3} i[/tex]

Thus the solutions are:

[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]

Answer:

24 square centimeters

Step-by-step explanation:

Parallelagram Area fromula is A=bh

which is Area equals base times hieght

You just plug in the infromation in the problem and solve

A=bh

A=4x6

A=24

The speed is the distance covered by an object at a particular time. The speed of bus B is 70 miles per hour.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given that Bus A can travel 125 miles in 3 hours. While Bus B can travel 85 more miles than bus A within the same time. Therefore, we can write,

Distance traveled by Bus B = 125 miles + 85 miles = 210 miles

Time is taken by Bus B = 3 hours

Now, the speed of the bus B can be written as,

Speed of Bus B = Distance Covered / Time taken

                          = 210 miles / 3 hours

                          = 70 miles per hour

Hence, the speed of bus B is 70 miles per hour.

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Answer:

I think it's $12.80 but I might be wrong.

Each person will have to contribute $6.40.

To find out how much money each person will have to contribute to get to the university and back, we can first find the total cost of the trip. The distance to the university and back is 2 times the distance to the university, which is 105 miles. So the total distance is 2 * 105 = 210 miles. Roberta's car can travel 8.2 miles per dollar of gasoline, so the total cost of the trip is 210 / 8.2 = 25.61 dollars. Since Roberta and three friends are splitting the cost evenly, each person will have to contribute 25.61 / 4 = 6.4025 dollars. Rounding to the nearest cent, each person will have to contribute $6.40.

option c {(0, -5), (2,9), (-3, -26)}  is correct  . All others doesn't satisfy the equation .

Step-by-step explanation:

We have , If y = 7x - 5, following set of ordered pairs {(0, -5), (2,9), (-3, -26)} . Let's check for this

(0, -5):

⇒ [tex]y = 7x-5[/tex]

⇒ [tex]y = 7(0)-5[/tex]

⇒ [tex]y =-5[/tex]

So , it's correct ordered pair .

(2,9):

⇒ [tex]y = 7x-5[/tex]

⇒ [tex]y = 7(2)-5[/tex]

⇒ [tex]y =9[/tex]

So , it's correct ordered pair .

(-3,-26):

⇒ [tex]y = 7x-5[/tex]

⇒ [tex]y = 7(-3)-5[/tex]

⇒ [tex]y =-26[/tex]

So , it's correct ordered pair .

Therefore, option c {(0, -5), (2,9), (-3, -26)}  is correct  . All others doesn't satisfy the equation .

Answer:

9 and 10

Step-by-step explanation:

Consider perfect squares on either side of 92, that is

81 < 92 < 100, thus

[tex]\sqrt{81}[/tex] < [tex]\sqrt{92}[/tex] < [tex]\sqrt{100}[/tex], that is

9 < [tex]\sqrt{92}[/tex] < 10

Final answer:

To find two consecutive whole numbers that the square root of 92 lies between, we calculate the square root of 92 to determine its approximate value, which falls between 9 and 10.

Explanation:

To find two consecutive whole numbers that √92 lies between, we need to calculate √92 to determine its approximate value. Since 92 is between 81 (9²) and 100 (10²), the square root of 92 lies between 9 and 10. Therefore, the consecutive whole numbers are 9 and 10.

Answer:

see attachment

Step-by-step explanation:

We want to sketch the graph of

[tex]y = {x}^{2} + 4x + 8[/tex]

We want to use tables so we choose some few points and plot.

When x=-6,

y=(-6)²+4(-6)+8=20

When x=-4,

y=(-4)²+4(-4)+8=8

When x=0,

y=(-2)²+4(-2)+8=4

When x=0,

y=(0)²+4(0)+8=8

When x=2,

y=(2)²+4(2)+8=20

The table and graph are shown in attachment.

Mariko caught 10 rockfish and 14 bluefish on her fishing trip.

Let's define the number of rockfish caught as x and the number of bluefish caught as y.

According to the given information, the average weight of each rockfish is 2.5lbs and the average weight of each bluefish is 8lbs.

We can form two equations based on the total weight of all the fish and the total number of fish caught:

We can solve this system of equations to find the values of x and y by either substitution or elimination method. Using the elimination method:

Multiplying Equation 1 by 2.5, we get 2.5x + 2.5y = 60

Subtracting this equation from Equation 2, we get 8y - 2.5y = 137 - 60

Simplifying, we have 5.5y = 77

Dividing both sides by 5.5, we get y = 14

Substituting this value back into Equation 1, we have x + 14 = 24

Simplifying, we get x = 10

Therefore, Mariko caught 10 rockfish and 14 bluefish.

The value of x is 13°.

Solution:

In triangle, sum of all the interior angles = 180°

m∠A + m∠B + m∠C = 180°

(3x)° + (4x – 1)° + 90° = 180°

3x° + 4x° – 1° + 90° = 180°

7x° + 89° = 180°

Subtract 89° from both sides of the equation, we get

7x° = 91°

Divide by 7 from both sides of the equation, we get

x° = 13°

The value of x is 13°.

Answer:

3(7) -15+8

21-15+8

6+8= 14

Answer:

The correct answer is A.

Answer:

The answer is 8 months

Step-by-step explanation:

The new computer tablet is $460. She paid $100 at the time so I subtracted $100 from $460, which equals to $360. The monthly payments are $45 a month, so I divided $360 by $45, which equals 8. It takes 8 more months to finish the payment.

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Answer:

8 payments

Step-by-step explanation:

460-100=360

45 x 8 = 360

Answer:

No.

Step-by-step explanation:

3/4 cannot be simplified. Neither can 7/8. Also, 3/4 as a decimal is 0.75, and 7/8 as a decimal is 0.875.

Answer:

No

Step-by-step explanation:

Is 3/4 less than 7/8? Is 3/4 smaller than 7/8? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/4 = 0.75

7/8 = 0.875

Then, we compare the two decimal numbers to get the answer.

0.75 is less than 0.875.

Therefore, 3/4 is less than 7/8 and the answer to the question "Is 3/4 less than 7/8?" is yes.

Answer:

18

Step-by-step explanation:

First you would have the divide 2 and 12 which is 6 then you would muplty 6 by 3 because you need to find how many fictional book which is 18

p. ls I am 99% sure this explanation is right

The number of fiction books is 18.

Ratio expresses the relationship between two values. It is the number of times that one value is contained within other value(s).

Number of books = (number of mystery books x sum of ratios) / ratio of mystery books

(12 x 5) / 2 = 30 books

number of fiction books = (ratio of fiction books / sum of ratios) x total number of books

3/5 x 30 = 18 books

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Answer:

1.8

Step-by-step explanation:

12/4 - 1.2

3 - 1.2 = 1.8

Answer:

90 calories in total

Step-by-step explanation:

We can solve this equation through the following steps:

Step One: Since we are told that a banana is 20 less calories than an orange, we can create the Let Statements:

Let x= the calories in a banana

Let x-20=the calories in an orange

Step Two: Create an equation

Since we are told "7 bananas have the same calories as 9 oranges" we translate"

7x=9(x-20) Distribute

7x=9x-180 Subtract 9x from both sides of the equation

7x-9x=-180 Simplify

-2x=180 Divide both sides by -2

x=90

∴There are 90 calories in a banana.

Answer:

B

Just multiply by 4 to isolate x; because 4 isn't negative, u keep the sign the same.

Answer:

Illegal Immigrant

Step-by-step explanation:

Spanish.

Answer:

y = -3/4x + 5

Step-by-step explanation:

Slope intercept form is y=mx + b

First, find the slope of the line. the points are (0,5) and (4,2), as marked. To find the slope, you do (y2-y1)/(x2-x1). Fill in the numbers and you get

(2-5)/(4-0). Simplify and you get -3/4 is the slope. Then, to find b, you have to fill in one coordinate pair and the slope into y=mx+b. So, I used (0,5).

5=(-3/4)(0) + b

Then you get 5=b by solving, and you fill in the slope and the y intercept in the slope intercept form equation. y = -3/4x +5. This is how you find the answer.

Answer:

0

Step-by-step explanation:

i/8=0

i=0*8

i=0

Reduce the expression by cancelling the common factors.

= 32/37

In decimal;

0.864

Answer:

3 and 8/12

Step-by-step explanation:

You subtract 3 5/12 from 7 1/12 to get 3 8/12

Answer:

1 and 8/12 or 1 and 2/3

Step-by-step explanation:

    7 1/12-3 5/12

    2 1/12-   5/12

    1 8/12

Answer:

59 sq ft

Step-by-step explanation:

Area of the entire shape is 13x5=65

but then you have to subtract for the missing portion

the area of that piece is 3x2=6

65-6=59

Answer:

The answer is that the team has to have 25 wins.

Step-by-step explanation:

since the ratio is 2 losses to 5 wins, if you divide 10 by 2, you get 5. Multiply 5 by 5, since it is the other side of the ration, and you'll get 25 wins.

25:10 = 5:2

Answer:25

Step-by-step explanation:

go to negative to and move left once and that'll give you 2 and 1 6ths then go to 1 and move right once cause 7 over 6 is 1 and 1 over 6

Answer: 8x+3x=12x+9

The number is -9.

Step-by-step explanation: Combine like terms.

11x=12x+9

Subtract 12x from the other side. 11x-12x= -1x

-1x+9

Divide by -1 to isolate x.

-1/-1 cancels out.

9/-1= -9

x=-9

Plug in -9 to check your answer if you want to double check.

32 + 5% = 1.6

The tax is $1.60

The final bill is $33.60

Answer: the answer is $33.60

Step-by-step explanation:

6 ( 3 - √-16) + √-64 ( 3- √-16)

18 - 6(-4)^2*1/2 + 3 × (-8)^2*1/2 - √1024

18 - 6 (-4) + 3× (-8) - 32

18 + 24 - 24 - 32

18 - 32

-14