which equation has two real solutions?
a. x^2=-100
b. 5x^2=1
c. 6x^+17=11
d. 7(x^2+6)=42

Answers

Answer 1

Answer:

b

Step-by-step explanation:

5x^2 =1

x^2=1/5

x= root 1/5

x= -root5/5    x=root5/5

Answer 2

Answer:

[tex]B) 5x^2=1[/tex]

Step-by-step explanation:

Option B has two real solutions.

hope it helps...


Related Questions

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f(p)= -50p2 + 1600p - 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part 1 of 3 (a) The price that generates the maximum profit is S 16 Part 2 of 3 (b) The maximum profit is $ 1800 Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even:

Answers

The price that maximize the profit is $10 or $22.

What is maximum profit?

In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.

Given:

f(p) = -50p^2 + 1600p - 11000

Now to find velocity point

[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]

So for the price p = 16 that generates maximum profit.

Now

f(16) = -50(16)^2 + 1600(16) - 11000 = 1800

The maximum profit is 1800.

At breakeven, f(p) = 0

So,

[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]

So p = $10   or  p = $22

Hence, the price that maximize the profit is $10 or $22.

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A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy. 515x 285y

Answers

Answer:

515 x + 285 y = 11080

x + y = 30

Step-by-step explanation:

Someone please help me!!! I need it ASAP!

Answers

the last one is the correct answer!! nothing that is dilated can be congruent to another triangle.

8. Find the measure of E in the trapezoid.

Answers

The measure of x = 5, in the given diagram of a trapezoid.

What is trapezoid?

A trapezoid is a four-sided shape with one parallel pair of sides. It is essentially a two-dimensional shape or figure similar to a square, rectangle, or parallelogram. As a result, this shape, like other shapes, has a perimeter and an area.

When two parallel lines are intersected by a transversal, the pair of interior angles on the same side of the transversal are supplementary.

Therefore, ∠D + ∠E = 180°

17x - 10 + 21x = 180°

38x − 10 = 180°

38x = 180° + 10

38x = 190

x = 190/38

x = 5

Thus, The measure of x = 5, in the given diagram of a trapezoid.

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Triangle J K L. Side J K is 5 inches and side J L is 10 inches.
Which could be the length of Side K L?
4 in.
9 in.
16 in.
19 in.

Answers

Answer:

9 in.

Step-by-step explanation:

the sum of two sides in a triangle is always longer than the 3rd side. so 9 is the only answer that fits this condition.

can someone tell me what xy^2 would be if x=10 and y= -3? thanks!

Answers

If it is (xy)^2= 900 and if it is xy^2=90
Because: x=10 and y= -3
(10^2 * (-3)^2 )= 100 * 9= 900
or
x=10, y= -3
(10* (-3)^2)= 10*9=90

The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm².
The height of the open box is (x - 2) cm.

I have attached a pic
(I already did part (a) and (bi) and you may use the answers to help you do the (bii) question)

+ the answer for (bi) if you can’t see it, it is 4.28 and -6.78

This is the question:
b) (ii) Hence calculate the volume of the box, stating the units of your answer.

Answers

A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.

what is volume?

The area occupied within an object's three-dimensional bounds is referred to as its volume. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.

given

Calculate the box's volume and provide your answer in units.

Due to the fact that x = 4.28, the remaining sides are 2x + 5 = 2(4.28) + 5 = 13.56

and x - 2 = 4.28 -2 = 2.28.

We are aware that volume is calculated as follows: 13.56 (4.28) ( 2.28 )

=[tex]135.25cm^{3}[/tex]

A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.

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In a survey of 500 high school students, 108 have taken Trigonometry, 391 have taken Physics, and 58 have taken both. How many have taken either Trigonometry or Physics?

Answers

Answer:

109 took physics and 392 took Trigonometry

Step-by-step explanation:

28 = 4/5x - 8 what value of x makes the equation true?

Answers

Answer:

1.6285

Step-by-step explanation:

28 = 4/5x-8

Cross multiply

140x-224=4

140x =224+4

140x = 228

x = 228/140

x = 1.6285

f(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros​

Answers

Answer:

f(x) = -1/2x² + 3/2x - 2

f(0) = (-1/2 × 0²) + (3/2 × 0) - 2

f(0) = 0 + 0 - 2

f(0) = -2

THANK YOU!!( ◜‿◝ )♡

sort these from least to greatest
0
1
1/2
8/9
49/100
11/10
1/13

Answers

The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

What is a fraction?

A fraction can be defined as the part of a whole number, variable or element.

There are several types of fractions, some of which includes;

Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractions

From the information given, we have the fractions;

0, 1, 1/2, 8/9, 49/100, 11/10, 1/13

To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;

1/2 = 0.5

8/9 = 0.89

49/100 = 0.49

11/10 = 1.1

1/13 = 0. 08

However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

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The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards, how much fencing does the city need to surround the park?

Answers

The length of the fencing that the city needs to surround the park will be 380.50 yards.

What is the area and perimeter of the rectangle?

Assume L is the length and W is the width. Then the area is given as,

A = L × W

And the perimeter is given as,

P = 2(L + W)

The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards. Then the length of the rectangular park is calculated as,

8925 = L × 84

L = 106.25 years

Then the length of the fencing that the city needs to surround the park will be given as,

P = 2(106.25 + 84)

P = 2 × 190.25

P = 380.5 yards

The length of the fencing that the city needs to surround the park will be 380.50 yards.

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f (x) = -5x + 4
Graph of the function and find the domain and the range

Answers

Answer:

Range and Domain= all real numbers

positive infinity to negative infinity

Step-by-step explanation:

2x < 18
Is it a solution?
9 yes or no
5 yes or no
12 yes or no
8 yes or no
answer yes or no for EACH one
HELP

Answers

Answer:

9 is yes.

5 is no

12 is no

8 is no

Art Show Attendance Day Attendance Sunday 54 Monday 29 Tuesday 22 Wednesday 28 Thursday 12 Friday 15 Saturday ? What does the attendance need to be on Saturday to have an average attendance for the week of 30 people per day?

Answers

Answer:

50

Step-by-step explanation:

mean = sum of observations / number of observations

sum of observations = 30 x 7 = 210

saturdays attendance = 210 - (54 + 29 + 22 + 28 + 12 + 15) = 50

MY Last question and I'm done....
b) Suppose that you increase the height of this cylinder by 10 cm.
By how much does the volume increase?

Answers

Answer:

785.4

Step-by-step explanation:

1335.18-549.78 = 785.4

Answer:

785.4

Step-by-step explanation:

The volume of the original is 549.77871cm^2

The volume after the height increase is 1335.17688cm^2

1335.17688 - 549.77871 = 785.39817

I don't know how much to round it to but I'll go tenths ig

785.4

The radius of a giant beach ball is 18 inches. What is its surface area?

Answers

Answer:

4071.5 in^2

Step-by-step explanation:

The surface area of a sphere of radius r is A = 4πr²

In this case, with r = 18 in, A = 4π(18 in)² = 4071.5 in²

How do you do log 10 on a calculator?

Answers

To calculate log 10 on a calculator, you will typically use the "log" button. Depending on the type of calculator, you may need to enter the number 10 first, then hit the "log" button.

For example, if using a standard scientific calculator, you would enter 10, then hit the "log" button. On some calculators, you may need to hit the "10x" button first before hitting the "log" button.  On some graphing calculators, you may need to use the "log base" button. When using this button, you would enter 10 as the base and the number you are trying to calculate the log of.

In some cases, you may need to use the "ln" (natural log) button instead of the "log" button. In this case, you would need to use the conversion formula of "ln x = 2.303 log 10 x" to get the desired number.  Finally, some calculators may have an "antilog" button. This button will calculate the inverse of the logarithm or the power of 10 of a given number. To use this button, you would enter the number, then press the antilog button.

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Suppose that $x$ is directly proportional to $y$. Let $x_1, x_2$ be two values of $x$ such that $\frac{x_1}{x_2} = 4$. Let their corresponding values be
$y_1$, $y_2$ respectively. If at least one of $y_1, y_2$ is nonzero, find $\frac{y_2}{y_1}$.

Answers

If at least one of $y_1, y_2$ is nonzero, then $\frac{y_2}{y_1}$ = $\frac{1}{4}$

If x is directly proportional to y, we can write this as x = ky for some constant k.

Since $\frac{x_1}{x_2} = 4$, we can write it as $x_1 = 4x_2$.

Now, substituting the value of $x_1$ in equation x = ky gives

$4x_2 = ky_1$.

Also, since x = ky, we can write $x_2 = ky_2$.

Now, we can substitute the value of $x_2$ in the equation $4x_2 = ky_1$

So, $4ky_2=ky_1$, which gives $\frac{y_2}{y_1} = \frac{1}{4}$

Therefore, $\frac{y_2}{y_1}$ = $\frac{1}{4}$ when x is directly proportional to y and $\frac{x_1}{x_2} = 4$.

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4 x 9 1/2
four times 9 and a half

Answers

Answer:

38

Step-by-step explanation:

4*9 1/2=38

Hand written explanation:

4*9=36

4*1/2=4/2=2

36+2=38

Answer:

the answer is actually 38 that is the correct answer for this particular question it's saved 4 * 9 and a half and the answer is 38

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Angle C is 58 degrees

if you are looking for the missing angle then C=58*

if you are looking for the missing sides then you might need to ask someone else

Determine two numbers that have a
square root between 326 and 327, are
divisible by 100, and are a multiple of 6.

Answers

It divides by three. According to the law of divisibility for three, a number is fully divisible by three if its digit sum is likewise divisible by three.

What is divisibility test?

The divisibility rule is a clear and useful method for determining if an integer is divisible by a given set of divisors without actually doing division, sometimes simply looking at the integer's digits. The divisibility test allows you to rapidly determine if a given integer can be divided by a specified divisor without actually doing the division process. The quotient must be an integer and the remainder must be zero when dividing two numbers precisely.

here  

add all the numbers,

326 = 3+2+6 = 11

so it is not divisible by 3

327 = 3+ 2 + 7 = 12

so it is divisible by 3

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PLZ HELP I WILL MARK BRAINLYIST!!!!!!!Explain the difference between a dot plot and a histogram. When would you use each graph?

Answers

Answer:

Histograms subdivide data into intervals (bins), and use rectangles (usually columns) to show the frequency (count) of observations in each interval. ... Dot plots include ALL values from the data set, with one dot for each occurrence of an observed value from the set.

Step-by-step explanation:

histogram-Analyzing whether a process can meet the customer's requirements. Analyzing what the output from a supplier's process looks like. Seeing whether a process change has occurred from one time period to another. Determining whether the outputs of two or more processes are different.

Dot plots are used for continuous, quantitative, univariate data. Data points may be labelled if there are few of them. Dot plots are one of the simplest statistical plots, and are suitable for small to moderate sized data sets. They are useful for highlighting clusters and gaps, as well as outliers.

What is the value of tan θ?

Answers

The value of tan 1 is  45 degree.

tangent is the trigonometric ratio.

we can find out the value of tangent by taking opposite side of the theta angle divided by the adjacent side of the theta angle.

tan Q = perpendicular of triangle /base of triangle.

sine theta divided by cos theta gives the value of tan theta.

tan Q = sin Q/ cos Q.

some formula of the tan Q are as follows,

1- tan Q = sin Q/cos Q

2- tan Q= 1 /cot Q

3-tan^2 Q =sec^2 Q -1

4- tan(90 - Q)=cot Q

5- tan (Q+π)=tan Q

6- tan (π-Q)=-tan Q

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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After
11
11
11
11
months, he weighed
140
140
140
140
kilograms. He gained weight at a rate of
5.5
5.5
5.5
5, point, 5
kilograms per month.
Let
y
y
y
y
represent the sumo wrestler's weight (in kilograms) after
x
x
x
x
months.
Complete the equation for the relationship between the weight and number of months.

Answers

The equation of line is given by y = 13.45x - 7.95 where the slope of the line is m = 13.45 and y is the weight in kilograms , x is the number of months

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The weight in kilograms = y

The number of months = x

Let the first point be represented as P = P ( 11 , 140 )

Let the second point be represented as Q = Q ( 1 , 5.5 )

Now , the slope of the line is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 140 - 5.5 ) / ( 11 - 1 )

Slope m = 134.5 / 10

Slope m = 13.45

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 140 = 13.45 ( x - 11 )

On simplifying the equation , we get

y - 140 = 13.45x - 147.95

Adding 140 on both sides of the equation , we get

y = 13.45x - 7.95

when x = 11 months

y = 13.45 ( 11 ) - 7.95

y = 147.95 - 7.95

y = 140 kilograms

Therefore , the value of A is y = 13.45x - 7.95

Hence , the equation is y = 13.45x - 7.95

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Which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6

Answers

y < 4/5x - 1/5 ,y > -4/5x + 1/5, y < 2x + 6, y > 2x + 6 are all in slope-intercept form

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.

so the given equation are also in the form of slope intercept form

y < 4/5x - 1/5

y > -4/5x + 1/5

y < 2x + 6

y > 2x + 6

are all in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.

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please help quickly +25pts
X, Y, and Z are collinear. Y is between X and Z.

XY = 12 and XZ = 14

YZ = ___ units

Answers

The value of YZ = 2 units.

What are collinear points?

The Latin words "col" and "linear" are combined to form the word "colinear." "Col" stands for "together," and "Linear" is a line. Collinear points are hence points that are situated along a single line. Numerous instances of collinearity can be observed in daily life, such as a line of pupils standing together.

Given X, Y, and Z are collinear. Y is between X and Z.

so XY + YZ = XZ

given XY = 12 units and XZ = 14 units

XY + YZ = XZ

12 + YZ = 14

YZ = 14 - 12

YZ = 2 units

Hence measure of YZ is 2 units.

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In the number 9.13 what is the value of the digit 3, written as a fraction?
3

Answers

Answer:

potato paste recipe for the same recipe as it has made

Step-by-step explanation:

French fry

Which graph shows the point K (6,9)?

Answers

Answer:

D. shows (6,9)

Step-by-step explanation:

(6,9)

x. y

x=6, y=9

Select all graphs that represents a function

Answers

The bottom one

That should be correct!!!
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