15x^2 + x - 2 = (? -1) (? + 2)

3x, 5x

x, 15x

5x, 3x

15x, x

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

When the given fractions are ordered from the least fraction to the greatest fraction, the results would be:

The best way to order fractions in a list, from their least to their greatest is by converting them to decimals. This allows you to see which fractions are larger than the other.

The fractions in their decimal forms are:

- 4 5:

= -4 ÷ 5

= -0.80

- 3 / 7:

= -3 ÷ 7

= 0.43

2 / 3:

= 2 ÷ 3

= 0.67

1 / 4:

= 1 ÷ 4

= 0.25

The order would be:

-0.8, - 0.43, 0.25, 0.67

In their fraction forms this is:

= - 4/5, - 3 / 7, 1 / 4, 2 / 3

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Answer:

3/4.

Step-by-step explanation:

Convert both of the mixed numbers into improper fractions.

2 5/12 becomes 29/12, 1 8/12 becomes 20/12.

From there, subtract 20/12 from 29/12 and you get 9/12.

Simplify 9/12 to get 3/4.

Your answer is 3/4.

I hope this helped, have a nice day.

I'mthat'sAnswer:

ima be honest I'm not that intelligent thats why im on here but if I'm not mistaken divide y by x and u should have your answer

Step-by-step explanation:

Answer:

b or c i think

Step-by-step explanation:

not for sure just a guess

Answer:

(0,18)

Step-by-step explanation:

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️ y-intercept (b):

When x = 0, y = -5. Therefore, the y-intercept (b) = -5. It is the point at which the y-axis cut across by the line. At this point, x is always zero.

✔️Slope using two points (0, -5) and (1, -1):

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-5)}{1 - 0} = \frac{4}{1} = 4 \)

Slope (m) = 4

✔️Equation in slope-intercept form y = mx + b:

Substitute m = 4, and b = -5 into y = mx + b

y = 4(x) + (-5)

y = 4x - 5

Answer:

A

Step-by-step explanation:

A day ist 6x3$

+

2hours 2*3$

The total money Caroline spend is m = (6 X 3) + (2 × 3).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

A bike rental is $3 for an hour.

The rental for a day is 6 times as much.

Caroline rents a bike for 1 day and 2 hours.

so, For m money, Caroline total spend

m = (6 x 3) + (2 x 3)

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substitution
y = 7x-26 (1)

y = 4x-11 (2)

1⇒2

7x-26=4x-11

3x=15

x=5

y = 7(5)-26

y = 9

point (5,9)

Answer:10 weeks

(1 , 8)

(2 , 16)

(3 , 24)

(4 , 32)

(5 , 40)

(6 , 48)

(7 , 56)

(8 , 64)

(9 , 72)

Step-by-step explanation:

Add eight each week/x

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer:

what's the question? :)

step by step explaination

1/5 * 3/8

1*3 5*8

3/40

Answer:

\(\frac{3}{40}\)

Step-by-step explanation:

1/5 × 3/8

The linear function containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5) is given as follows:

y = -5x + 20.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The hypotenuse is composed by segment QR, hence the points are:

Q(3,5) and R(5,-5).

The slope is given by the change in y divided by the change in x, hence:

m = (-5 - 5)/(5 - 3)

m = -5.

Hence:

y = -5x + b.

When x = 3, y = 5, hence the intercept b is obtained as follows:

5 = -15 + b

b = 20.

Hence the equation is:

y = -5x + 20.

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Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

The equations given are

Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.

Using a graphing calculator;

The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2

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Answer:

1188 grams of water

Step-by-step explanation:

x is the grams of water

so total is 12+x grams

sugar/total is 12/12+x

and 1% ratio is 12/12+x=1/100

so x would be 1188 grams of water.

Answer:

1188

Step-by-step explanation:

Start with the part and whole proportion

\(\frac{12}{?} =\frac{1}{100}\)

multiply the one by 12 and 100 by 12

\(\frac{12}{1200} =\frac{1}{100}\)

now subtract 12 from 1200

then you get 1188.

I hope this helps :))

Answer:

multiply both sides by 2

Step-by-step explanation:

you mtiply because you are doing the opposite of division. the f and the 2 are being divided.

The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

Out of 217 visitors who came to Nayeli's website, none of them purchased a costume. Therefore, the number of visitors who may purchase a costume is 217 less than the total number of visitors:

Total visitors - No. of visitors who didn't purchase a costume = 217

Total visitors - 217 = No. of visitors who may purchase a costume

Total visitors = 113 + 217+36 = 336

Out of the remaining visitors, 113 purchased exactly one costume, and 36 purchased more than one costume. Therefore, the number of visitors who purchased one or more costumes is:

No. of visitors who purchased one or more costumes = 113 + 36 = 149

Therefore, the probability that the next person will purchase one or more costumes can be expressed as:

Probability = No. of visitors who purchased one or more costumes / Total visitors

Probability = 149 /336 = 0.443

The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

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Answer:

Step-by-step explanation:

.44

Answer:14

Step-by-step explanation: minus *minus = + so its +27

and then you just do the maths 27-13=14

Answer:

\(\frac{5}{6}\)

Step-by-step explanation:

Given parameters

Percentage of all teachers the works in summer  = 85%

Number of teachers sampled  = 6 teachers

Unknown:

The probability that they all work in summer  = ?

Solution:

Now, to solve this problem, let us find the number of teachers that works in summer from the given size;

    Number of teachers = 85% x 6  = 5.1;

  Since it is not possible to have 5.1 people, the number of teachers will be 5

The probability  = \(\frac{5}{6}\)

Answer:Purple

The step-by-step explanation there are more purple popsicles than the other colors

Answer:

the answer to your eqauation is 531,441

Step-by-step explanation:

3^5 x 3^7

243 x 2,187

=531,441

Hope this helped!! :)

The equivalent equation of  r sinθ = 10 in rectangular coordinates is y²  +   y⁴/x² - 100 = 0.

The rectangular coordinates is calculated from the polar equation as follows;

r sinθ = 10

the conversion from polar to rectangular coordinates;

r² = x² + y²

r = √(x² + y²) ----- (1)

y/x = tanθ  ------ (2)

r sinθ = 10

√(x² + y²)(y/x) = 10

(x² + y²)(y²/x²) = 100

y²  +   y⁴/x² = 100

y²  +   y⁴/x² - 100 = 0

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9514 1404 393

Answer:

Step-by-step explanation:

1. You can call the graph whatever you like. Since you're graphing the parent function y=x², you might want that in the title.

__

2. The problem statement tells us we're graphing y = x².

__

3. The quadratic function has one turning point on the axis of symmetry. The turning point for the parent function is its vertex at (0, 0). This point is a minimum, because the parent function has a positive coefficient.

The function is even degree with a positive leading coefficient, so the end behavior tends to +∞ for x going to either -∞ or +∞.

_____

Additional comment

If we're to "refer to the previous slide", it would be nice to be able to see that slide. As is, we're guessing at what the question is really after. The basic y=x^2 function will have been studied first thing when nonlinear polynomials are introduced. This should all be very elementary stuff.

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Answer:

x^2+10x+25

Step-by-step explanation:

x^2+10x+c

to find c

10/2=5

so 5^2= 25

so answer = x^2+10x+25

Answer:

x^2+10x+25

Step-by-step explanation:

The distance that the person will be able to cover in an hour would be = 45 miles

The distance that the individual covers in in 40 mins = 30 miles.

Therefore in an hour(60 mins) the distance would be = X mile

That is ;

40 mins = 30 miles

60 mins = X

make X the subject of formula;

X = 60×30/40

X = 1800/40

x = 45 miles.

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