If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Answer:

x= 9

Step-by-step explanation:

Move the terms -> -1=14x = -12x + 16

Find out the sum -> 2x=17+1

Divide both by the equation by two -> 2x=18 x=9

Final answer: x=9

100% - 70% = 30%

30% of what = £33.60?

Let p = original price

0.30p = 33.60

p = 33.60 ÷ 0.30

p = £112

Answer:

0.76

Step-by-step explanation:

19 divided by 25 is 0.76.

Answer:

The answer would be 4.376. the 6 is repeating

Step-by-step explanation:

You would add up the three jumping distances.

4.34ft+4.56+4.23=13.13

Then you would divide them by the total number of numbers there are.

13.13/3= your answer, which is 4.376

4.376 is the mean of the heights when Kevin jumped three high jumps 4.34 feet, 4.56 feet, and 4.23 feet.

Kevin jumped three high jumps of 4.34 feet, 4.56 feet, and 4.23 feet. We need to find the mean of the heights.

The mean is the average or the most common value in a collection of numbers

The formula for mean= Sum of data values/ Total number of data values.

The given three high jumps of kevin are 4.34 feet, 4.56 feet, and 4.23 feet.

We need to find the mean of his three heights.

From the formula of mean,

The three data values are 4.34 feet, 4.56 feet, and 4.23 feet.

Mean=Sum of data values/ Total number of data values.

=(4.34+4.56+4.23)/3

=13.13/3

=4.3766

Therefore mean of Kevins three high jumps 4.34 feet, 4.56 feet, and 4.23 feet is 4.3766.

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Answer:

C. 95.7.

Step-by-step explanation:

|95.7| is the absolute value of 95.7  which is 95.7.

Answer:

The answer is 95.7.

Step-by-step explanation:

In order to determine the answer, we have to know about absolute value function. The notation of this function is | | .

The absolute value function convert any sign into positive. For example, the absolute value of -89.8 is 89.8. The function does not change the number value, just change the sign of the number.

In this case, for 95.7:

[tex]|95.7|=95.7[/tex]

Finally, the answer is letter C. [tex]95.7[/tex]

Hey!

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We Know That:

1 inch = 40 miles

200 / 4 = 5

200mi. = 5 x 40mi. (5 x 1mi on scale)

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Solution:

40 / 4 = 10 (not to scale)

1 / 4 = 0.25 (error to scale)

If the scale is 0.25 then it's half way while rounding.

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Answer:

[tex]\large\boxed{B.~0.5~in.}[/tex]

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Hope This Helped! Good Luck!

Answer: Is not A. Its B.

Step-by-step explanation:

I chose A and it is wrong. I would choose B.

400 * 0.5 = 200

400 * 0.25 = 100

Answer:

Unfortunately, I can't see the picture. Can you please submit the picture once more?

The radius of circle is shown by the red segment.

The radius of a circle is the distance between the circle's centre and any point on its circumference. It is commonly represented by the letters 'R' or 'r'. This number is significant in practically all circle-related formulae. A circle's area and circumference are also measured in terms of radius.

The radius is the distance from the circle's centre to its perimeter. The diameter is always twice as large as the radius.

The point in the center is called as Center of Circle.

Now, the axis of symmetry pass through the center.

Here the red segment which starts from center and touches the boundary of circle is called as the radius of circle.

Thus, the red segment is radius.

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Answer:

You can mow 1/2 a lawn with a gallon of gasoline.

Step-by-step explanation:

Start by setting the amounts equal to each other.   .5*.25.

The .5 should become a 1, so multiply it to become the answer of 1. What you do on one side should be repeated on the other side also. So then multiply .25 by 2 to get .5

Answer:

The amount in Brooke's lunch account change by the end  of that week is $-20 or $20 decrease.

Step-by-step explanation:

Consider the provided information.

Each day Brooke buys lunch and withdrawn the same amount i.e $4.

The number of days are 5.

To calculate the change by the end  of that week, find the total amount withdrawn in 5 days.

To represent withdrawn use a negative sign.

[tex]5(-4)[/tex]

The product of the numbers will be a negative number as they have opposite sign.

[tex]5(-4)=-20[/tex]

Hence, the amount in Brooke's lunch account change by the end  of that week is $-20 or $20 decrease.

The amount in Brooke's lunch account change by $20.

Using the parameters given for our Calculation;

The total amount spent is ;

The change in the amount spent;

Now we have ;

The change in the lunch account by the end of the week is $20.

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Answer:

1.84 x10 to the power of 3

Step-by-step explanation:

there is 3 numbers to the right of the decimal making it to the power of three

keep all important numbers, removing the 0 and keeping everything else

i have done maths to this extent in a few months so i would double check

Answer:

1.84 x10 to the power of 3

Step-by-step explanation:

Answer:

c. (3, -5)

Step-by-step explanation:

{x + 3y = -12

{y = ⅓x - 6

x + 3[⅓x - 6] = -12

x + x - 18 = -12

2x - 18 = -12

+ 18 + 18

____________

2x = 6

__ _

2 2

x = 3 [Plug this back into both equations to get the y-coordinate of -5]; -5 = y

I am joyous to assist you anytime.

Answer:

24 bags, 20 bags and 24 bags

Step-by-step explanation:

Students made a bag of nut mix by using = [tex]\frac{1}{8}[/tex] pound

They bought nut mix = 3 pounds

they will be able to make number of nut mix bags = [tex]\frac{3}{\frac{1}{8} }[/tex]

                                                                      = [tex]\frac{3\times 8}{1}[/tex]

                                                                      = 24 bags

Students made a bag of cherries by using = [tex]\frac{1}{4}[/tex] pound

They bought cherries = 5 pounds

they will be able to make number of cherries bags = [tex]\frac{5}{\frac{1}{4} }[/tex]

                                                                      = [tex]\frac{5\times 4}{1}[/tex]

                                                                      = 20 bags

Students make a bag of dried fruit by using = [tex]\frac{1}{6}[/tex] pound

They bought dried fruit = 4 pounds

they will be able to make number of dried fruit bags = [tex]\frac{4}{\frac{1}{6} }[/tex]

                                                                      = [tex]\frac{4\times 6}{1}[/tex]

                                                                      = 24 bags

Students would be able to make 24 bags of nut mix, 20 bags of cherries and 24 bags of dried fruit.

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

An equation is an expression that shows the relationship between two or more variables and numbers.

For 3 pounds of nut mix:

Number of snack bag = 3 pounds / (1/8 pound) = 24 sacks

For 5 pounds of cherries:

Number of snack bag = 5 pounds / (1/4 pound) = 20 sacks

For 4 pounds of dried fruit:

Number of snack bag = 4 pounds / (1/6 pound) = 24 sacks

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

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Answer:

an inequality is basically two numbers compared between which is larger, smaller or equal.

Step-by-step explanation:

(x/-5)-1

one less = -1

quotient= division

Answer:

-45

Step-by-step explanation:

A loss of 45 yards means losing and it would be negative. Example if you ate 5 cookies is it negative or positive, which is negative cause your taking it away.

A loss of 45 yards in Mathematics is represented as -45. Negative integers are used to signify losses or decrease.

In Mathematics, when we're talking about a loss or decrease, we often refer to negative integers. In this case, a loss of 45 yards would be represented by the integer -45. Whenever you lose something or move in the reverse direction, negative integers are used to represent such situations. Thus, the integer describing a loss of 45 yards is -45.

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Answer:

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Step-by-step explanation:

Let

x -----> the price per ticket for adults

y -----> the price per ticket for students

z -----> the price per ticket for child between the ages of 3 and 8

we know that

The system of equations is

[tex]2x+y+z=15[/tex] ------> equation A

[tex]x=y+z[/tex] ------> equation B

[tex]x+4y+2z=23[/tex] -----> equation C

substitute equation B in equation A and solve for x

[tex]2x+(x)=15[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Substitute the value of x in equation B and equation C

[tex]5=y+z[/tex] -----> equation B

[tex]5+4y+2z=23[/tex]

[tex]4y+2z=18[/tex] -----> equation C

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (1,4)

so

z=1, y=4

therefore

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Answer:

22F

Step-by-step explanation:

Absolute value of -8 is 8. Therefor, that'll put you at 0. Then from 0 you want to get to 14, so you'll take the 14 and add 8 to it which will leave you with 22.

Answer:

A=22

Step-by-step explanation:

Look at picture in link provided

The value of a is 22 in the equation  1/2a = 11.

The given equation is 1/2a=11.

One by two times of a is equal to eleven.

We have to find the value of a where a is the variable.

1/2a=11

Apply cross multiplication:

a=11×2

When eleven is multiplied with 2, we get 22.

a=22

Hence, the value of a is 22.

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Answer:

x would be a variable. Did the instructions say x = 5 or some other number? If so, you can solve it.

The ratio 1:5 can be equivalent to the ratio 4:20. To see this, you can multiply both parts of the ratio 1:5 by 4, which gives you 4:20.

The ratio 1:5 can be equivalent to the ratio 4:20. To determine this, you need to find a common factor that you can use to scale up the ratio 1:5 to an equivalent ratio.

In this case, multiplying both parts of the ratio 1:5 by 4 gives you 4:20, which is equivalent.

So, the answer is 4:20.

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Answer:

7.8125

Step-by-step explanation:

6.25 x 1.25

The marked-up price is $7.81 if the amount is $6.25 and the rate in percentage is 25%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The amount = $6.25

The rate in percentage = 25%

The marked-up price = 6.25 + 25% of 6.25

The marked-up price = 6.25 + (25/100)6.25

The marked-up price = 6.25 + (0.25)6.25

The marked-up price = 6.25 + 1.56

The marked-up price = $7.81

Thus, the marked-up price is $7.81 if the amount is $6.25 and the rate in percentage is 25%.

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24.35°C is the answer

Final answer:

The temperature on Monday was 24.35°C.

Explanation:

To find the temperature on Monday, we need to subtract the change in temperature from the temperature on Sunday. The temperature on Monday was 32.6°C and the change in temperature was -8.25°C.

Therefore, the temperature on Monday was 32.6°C + (-8.25°C) = 24.35°C.

Answer:

the solution is 4.5

Step-by-step explanation:

Answer:

10 miles long i do believe

The distance from the mall to the park is approximately 12.2 miles to the nearest tenth of a mile.

To find the distance from the mall to the park, we can use the Pythagorean theorem since the path forms a right triangle. The legs of the triangle are the distances from the mall to the city center (2 miles east and 5 miles north) and from the park to the city center (5 miles west and 5 miles south).

Let's denote the distance from the mall to the park as d. Then, we can set up the equation:

[tex]\[ (2 + 5)^2 + (5 + 5)^2 = d^2 \][/tex]

Solving this equation:

[tex]\[ (7)^2 + (10)^2 = d^2 \]\[ 49 + 100 = d^2 \][/tex]

[tex]\[ 149 = d^2 \][/tex]

Now, we take the square root of both sides to find d:

[tex]\[ d = \sqrt{149} \][/tex]

Using a calculator, we find:

[tex]\[ d \approx 12.2 \][/tex]

Answer:

a.

[tex] \sqrt{ {5}^{4} } = {5}^{2} \\ \sqrt{ {7}^{2} } = 7 \\ {5}^{2} \times 7[/tex]

b.

[tex] \sqrt{ {2}^{6} } = {2}^{3} \\ \sqrt{ {11}^{10} } = {11}^{5 } \\ {2}^{3} \times {11}^{5} [/tex]

Answer:

x = 11, x = -11

Step-by-step explanation:

I know this is kind of late but the two previous answers were wrong.

We have x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might think that x = 11 but remember, x can be negative as well because you can square negative numbers. Basically, every real number has two square roots - a positive and a negative one. So, the answer isn't just x = 11, it's also x = -11 because (-11)² = 121 as well.

Answer:

x=11

Step-by-step explanation:

Answer:

- 16

Step-by-step explanation:

This is very tricky. Be careful how you do it.

The total of the six numbers is 6*41 = 246

The total of five numbers = 5*46 = 230

What have you you removed to make the number average go up with a smaller sample? The answer is a negative.

230 - 246 = - 16

Final answer:

Using similar triangles, the basketball hoop which is 10 ft high will cast a 5 ft long shadow.

Explanation:

To find out how much of a shadow the basketball hoop will cast, we can use the concept of similar triangles. Amanda, who is 5.5 ft tall, casts a shadow that is 2.75 ft long.

The basketball hoop is 10 ft high.

To find the length of the shadow cast by the hoop, we set up a proportion based on the heights and shadow lengths:

Height of Amanda / Shadow of Amanda = Height of Basketball Hoop / Shadow of Basketball Hoo

5.5 ft / 2.75 ft = 10 ft / X ft

Cross-multiply to solve for X (the shadow of the basketball hoop):

5.5 * X = 10 * 2.75

X = (10 * 2.75) / 5.5

X = 27.5 / 5.5

X = 5 ft

So, the basketball hoop will cast a shadow that is 5 ft long.

Use I = prt

1200 = 8000r(1)

1200/8000 = r

0.15 = r

15% = r