The tennis club is selling water bottles and hats to raise money for tennis tournament a water bottle cost four dollars and a hat cost six dollars the club wants to raise $1200 Graph the linear equation Write three ordered pairs(x,y) that exist on the line

[tex]-4(8+y)=90\implies8+y=-22.5\implies y=-30.5[/tex].

Hope this helps.

Answer:

-30.5.

Step-by-step explanation:

-4(8 + Y) = 90

-32 - 4Y = 90

-4Y = 122

Y = -30.5.

Hope this helps!

Answer:

the number is -6  (assuming "3 lots of" means 3 times)

Step-by-step explanation:

Let the number be x

1 less than a doubled number

2x-1

5 more than 3 lots of (times???) the number

3x+5

Solve for x

2x-1 = 3x + 5

-x = 5+1

x = -6

Answer

(a - y) (b - y)

Step-by-step explanation:

(ab - ay) (-by + y^2)

a (b - y)  -y ( b - y)

(a-y) (b - y)

.. ..

Answer:

[tex]\boxed{(a-y) (b - y)}[/tex]

Step-by-step explanation:

Rearrange the terms.

[tex](ab - ay) (-by + y^2)[/tex]

Factor out common term.

[tex]a (b - y) -y ( b - y)[/tex]

Apply rule : [tex]a(b+c)+d(b + c) = (a+d)(b+c)[/tex]

[tex]a (b +- y) +-y ( b +- y)[/tex]

[tex](a+-y) (b +- y)[/tex]

Answer:

The domain is all values but x=4 and x=2

Step-by-step explanation:

f(x) = (x+1) / ( x^2-6x+8)

Factor the function

f(x) = (x+1) / ( (x-4) ( x-2))

The domain of the function is all values of x except where the function does not exist

This is where the denominator goes to zero

(x-4) ( x-2) =0

Using the zero product property

x-4 =0   x-2 =0

x=4   x=2

The domain is all values but x=4 and x=2

Answer:

Hey there!

This, is the graph of your function:

Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.

Hope this helps :)

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

TV = VX.

3x-24 = 2x + 1

Add 24 to both sides:

3x = 2x + 25

Subtract 2x from both sides:

X = 24

VX = 2(25) + 1 = 50 + 1 = 51

The answer is 51

Answer:

51

Step-by-step explanation:

Since it is an isosceles triangle the two sides are equal  

3x - 24 = 2x + 1

x = 25

2(25) + 1 = 51

Answer:

x=46 degrees

Step-by-step explanation:

first find the size of the other angles(let call z and y)

the sum of a straight angle is 180:

180=130+z

z=180-130=50

y=180-96=84

sum of angles of triangle =180

x+y+z=180

50+84+x=180

x=180-134=46 degrees

Answer:

46°

Step-by-step explanation:

Angle of a line = 180°

To find the other side of 130°

The other side = 180° - 130° = 50°

To find the other side of 96°

The other side = 180° - 96° = 84°

To find x°

Total angle of a triangle = 180°

180° = x° + 50° + 84°

x° = 180° - 134°

x° = 46°

Answer:

  88

Step-by-step explanation:

2.75 ft = (2.75 ft)(12 in/ft) = 33 in

At 0.375 inches per plate, there will be ...

  (33 in)/(0.375 in/plate) = 88 plates

There are 88 steel plates in the pile.

Complete question is;

A car is new at the beginning of a calendar year. The time, in years, before the car experiences its first failure is exponentially distributed with mean 2. Calculate the probability that the car experiences its first failure in the last quarter of some calendar year.

Answer:

Probability = 0.2052

Step-by-step explanation:

I've attached the explanation to this answer.

Answer:

$ 5.65

Step-by-step explanation:

let the cost of a pencil and a ruler be $p and $r respectively.

4p +r= 1 -----(1)

6p +3r= 2.10

divide by 3 throughout:

2p +r= 0.70 -----(2)

Q: 3p +13r= ?

(1) -(2):

(4p +r) -(2p +r)= 1 -0.70

4p +r -2p -r= 0.30 (expand)

2p= 0.30 (simplify)

p= 0.30 ÷2 (÷2 on both sides)

p= 0.15

subst. into (1):

4(0.15) +r= 1

r +0.60= 1

r= 1 -0.60

r= 0.40

cost of three pencils and thirteen rulers

= 3p + 13r

= 3(0.15) + 13(0.40)

= 0.45 + 5.20

= $5.65

Answer:

  11

Step-by-step explanation:

The Law of Cosines is useful when you have two sides of a triangle and the angle between.

  v^2 = w^2 +u^2 -2wu·cos(V)

  v^2 = 6^2 +16^2 -2·6·16·cos(27°)

  v^2 = 292 -171.0733

  v ≈ 10.9966

  v ≈ 11

Answer:

r = -0.83

strong negative correlation

r = -0.08

weak negative correlation

r = 0.96

strong positive correlation

r = 0.06

weak positive correlation

Step-by-step explanation:

In this question, what we are expected to do is to match the values of the correlation given with the type of correlation in which the values are.

When we talk of correlation, we are simply referring to the extent of agreement between the values in the data field.

Correlation has a value between -1 and +1, meaning it could be negative or positive.

Values closer to the extremes i.e (-1 or +1) indicates strong correlation while values farther away, i.e closer to zero indicates a weak relationship.

Let’s answer the questions specifically now:

r = -0.83

This is closer to -1 and it indicates a strong negative correlation

r = -0.08

This indicates a weak negative correlation as it is closer to zero and farther away form -1

r = 0.96

This indicates a strong positive correlation

r = 0.06

This indicates a weak positive correlation

Answer:

Step-by-step explanation:

First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x

x^3+2x^2-8x=0

x(x^2+2x-8)=0

x(x+4)(x-2)=0

x=0   x=-4   x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.

Plugging in a -5 gets us -35

-1 gets us 9

1 gets us -5

3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps

The zeroes of the function are -4, 0 and 2.

The intervals where the function is positive is [tex]-4 < x < 2, \ \ x >2[/tex].

The intervals where the function is negative is [tex]x < -4[/tex].

The given parameters:

The zeroes of a function is the possible values of the unknown that makes the entire function to be zero.

The zeroes of the cubic equation is calculated as follows;

f(x) = 0

x³ + 2x² - 8x

factorize as follows;

[tex]x(x^2 + 2x -8) = 0\\\\x(x^2 + 4x - 2x -8) = 0\\\\x[x (x + 4 )-2(x + 4)]= 0\\\\x(x + 4)(x -2)=0\\\\x = 0, \ \ x = -4 \ \ x = 2[/tex]

The intervals where the function is positive and negative is determined as follows;

[tex]x(x + 4) (x - 2)\\\\[/tex]

[tex]when, \ x = -5, \ f(x) = -ve\\\\when, \ x = -4, \ f(x) =0\\\\when , \ x = -3, \ f(x) = +ve[/tex]

The intervals where the function is positive is determined as;

[tex]-4 < x < 2, \ \ x >2[/tex]

The intervals where the function is negative is determined as;

[tex]x < -4[/tex]

Learn more about graph of cubic equation here: https://brainly.com/question/8878887

Answer:

Step-by-step explanation:

Hello,

First of all, we know that the solution of the following equation

   [tex]ax^2+bx+c=0[/tex]

are

   [tex]\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \ \text{ when } \Delta=b^2-4ac \geq 0[/tex]

I would suggest that you try to apply this formula first and check the solution only after you try.

Let's apply it in this case, we have:

[tex]a=4\sqrt{5} \\ \\ b=-24 \\ \\ c= -9\sqrt{5}[/tex]

[tex]\Delta=b^2-4ac=24^2+4*9*5=1296 \\ \\ \sqrt{\Delta}=36 \ \text{ and the solutions are } \\ \\ \\ x_1=\dfrac{24-36}{8\sqrt{5}}=\dfrac{-12}{8\sqrt{5}}=\boxed{\dfrac{-3}{2\sqrt{5}}} \\ \\x_2=\dfrac{24+36}{8\sqrt{5}}=\dfrac{60}{8\sqrt{5}}=\boxed{\dfrac{15}{2\sqrt{5}}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: 16 units

Step-by-step explanation:

Given that in triangle ABC, m∠C=90,

it means m∠A +∠B= m∠BAC + m∠ABC = 90

m∠ABC = 90 - m∠BAC

Also given that;m∠BAC = 2m∠ABC

So,

m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC

m∠BAC +2m∠BAC = 180

3m∠BAC = 180

m∠BAC=180/3 = 60

m∠ABC = 60/3 = 30

thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,

AC=24/√3=8√3AL bisects angle A =>m∠LAC=30

ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16

Step-by-step explanation:

The pythagorian theorem:

a²+b² = c²

now let a be the side of the red triangle and b the side of the orange one

so a² is the area of the red triangle and b² is the area of the orange one

Let c be the side of the blue rectangle

so c² is the area of it

then what we concluded is right

Answer:

The sum of two negative integers is always negative.

Step-by-step explanation:

For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.

Answer:

1.33,3.667

Step-by-step explanation:

Use y=mx+b for second system

which is y=5/2x+7

Now use substitution,graph, or elimination method.

Answer:

x = -8

Step-by-step explanation:

1. Divide both sides of the equation by -9 to get (x+6) = -2

2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8

Hope this helps

Answer:

384

Step-by-step explanation:

the cost of the shirt is 13, pants is 11, and 8 for socks

13+11+8=32

the cost of 12 uniforms:12(13+11+8)=384

Answer:

B is a trinomial.

Step-by-step explanation: A trinomial is a math equation with 3 terms connected by plus or minus notations. In these 4 answer choices, choice B is the only one with 3 terms.

Answer

13x^3 i think its the right answer but am not sure :(

Answer:

mRT = 4√13 ≈ 14.42

mST = 10√2 ≈ 14.14

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:

mTR:

12² + 8² = c²

144 + 64 = c²

c² = 208

c = √208 = 4√13

mST:

15² = 5² + b²

225 - 25 = b²

b² = 200

b = √200 = 10√2

To get your decimals, simply evaluate the square roots:

4√13 = 14.4222

10√2 = 14.1421

Answer:

6. 56.3 degrees.

7. 70.5 degrees.

Step-by-step explanation:

6. We are given the opposite and adjacent side lengths, so we can use tangent to solve this (TOA = Tangent; Opposite over Adjacent).

tan(R) = 12 / 8

tan(R) = 3 / 2

R = cotan(3/2)

R = 56.309932474020213

So, the measure of angle R is about 56.3 degrees.

7. We are given the adjacent and the hypotenuse, so we can use cosine to solve this (CAH = Cosine; Adjacent over Hypotenuse).

cos(R) = 5 / 15

cos(R) = 1/3

R = sec(1/3)

R = 70.528779365509

So, the measure of angle R is about 70.5 degrees.

Hope this helps!

Answer:

6 weeks

Step-by-step explanation: set the equation to be 1458=2(3^t). Do the division property of equality by 2.

729=3^t

Divide 729 by 3 until you get a 1 as the answer.(Count the number of times that you did it, and that will be your answer)

Answer:

x ∈ R, x ≠ 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{x-9}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

To find the value that x cannot be, equate the denominator to zero and solve for x

x - 9 = 0 ⇒ x = 9 ← excluded value

Thus the domain is x ∈ R, x ≠ 9

Answer:

3 people get 10 crackers each 2 people get 9 crackers each

Step-by-step explanation:

SO WE CHECK THE OTHER ANSWERS

1. 2 people get 10 crackers each 3 people get 9 crackers each

(2*10)+(3*9)=?

20+27=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

2. 2 people get 13 crackers each 3 people get 12 crackers each

(2*13)+(3*12)=?

26+36=62

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

3. 3 people get 10 crackers each 2 people get 9 crackers each

(3*10)+(2*9)=?

30+18=48

WHICH IS CORRECT CAUSE THE SUM SHOULD BE 48

4. 4 people get 8 crackers each 1 person gets 15 crackers each

(4*8)+(1*15)=?

32+15=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

SO THE ANSWER IS  3 people get 10 crackers each 2 people get 9 crackers each

I HOPE I HELPED

PLS MARK BRAINLIEST!!!!!! (DESPERATELY TRYING TO LEVEL UP)

IT TOOK ME 10 MINS TO TYPE THIS

                     -ZYLYNN JADE

Answer:

your welcome and hope this helps

Answer:900

Step-by-step explanation:

Answer:

960 cm.

Step-by-step explanation:

For the first day:

Subtract the primary level of water by the 20% of it. 20% of 1500 is:

[tex]0.2*1500=300[/tex] (Convert the percent to decimal)

Then subtract 1500 to 300. That would become 1200cm for the first day.

For the second day:

Subtract the level of water from the first day by 20% of it. 20% of 1200 is:

[tex]0.2*1200= 240[/tex]

Then subtract 1200 to 240. That would become 960 for the second day.

The level of the water after 2 days is 960 cm.

Round this however you need to.

===========================

Work Shown:

Check out the diagram below. We have the following points

Based on those points, we know that

Which allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.

sin(angle) = opposite/hypotenuse

sin(angle EDC) = CE/CD

sin(56) = 7130/x

x*sin(56) = 7130

x = 7130/sin(56)

x = 8600.33397283284 approximately

Make sure your calculator is in degree mode.

Answer:

B. y= -x^2+50x-300

Step-by-step explanation:

A. y^2=4x^2-100

B. y= -x^2+50x-300

C. x=-y^2-400

D. x^2=-6y^2+200

we are to find profits (y) when the company sells x items

Option A can be used to calculate the profit (y) squared

Option B can be used to calculate profits (y)

Option C can be used to calculate items sold(x)

Option D can be used to calculate items sold squared(x^2)

We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B

Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2+50x-300