what is the range of it​

Answer:

x = - 6, x = 7

Step-by-step explanation:

Begin by equating to zero

x² - x - 42 = 0

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6 , since

- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then

(x - 7)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 7 = 0 ⇒ x = 7

Answer:

cosA = 8/17

Step-by-step explanation:

cos =  adjacent/hypotenuse

The number that is adjacent to angle A is 24 and the hypotenuse is 51

Plug the numbers into the cosine equation, which would look like:

Cos A = 24/51

You can simplify the fraction by dividing it by 3

So Cos A = 8/17 or 0.89130173...

Answer: (2, 8)

Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.

Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.

Therefore, the solution to the given system of equations is (2,8).

The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = - 2x² + 4x + 8

⇒ y = - 4x + 16

Now,

Since, The system of equations are,

⇒ y = - 2x² + 4x + 8  ..(i)

⇒ y = - 4x + 16     ..(ii)

Substitute the value of y from (ii) in equation (i), we get;

⇒ - 4x + 16 = - 2x² + 4x + 8

⇒ - 2x² + 4x + 8 + 4x - 16 = 0

⇒ - 2x² + 8x - 8 = 0

⇒ - x² + 4x - 4 = 0

⇒ x² - 4x + 4 = 0

⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1

⇒ x = 4 ± √16 - 16 / 2

⇒ x = 4 / 2

⇒ x = 2

And, y = - 4x + 16

⇒ y = - 4 × 2 + 16

⇒ y = - 8 + 16

⇒ y = 8

Thus, The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

Learn more about the mathematical expression visit:

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Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

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

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

Answer:

True

Step-by-step explanation:

(21+5) >1

Simplify 21+5

26>1

Therefore the solution is

True

Helped by none other than the #Queen herself #DRIPPQUEENMO

Answer:

8 dimes

7 quarters

Step-by-step explanation:

Let number of

Dimes = x ; quarters = y

10x + 25y = 255 ___(1)

25x + 10y = 270 ___(2)

From (1)

10x = 255 - 25y

x = (255 - 25y) / 10

x = 25.5 - 2.5y

Put x = 25.5 - 2.5y in (2)

25(25.5 - 2.5y) + 10y = 270

637.5 - 62.5y + 10y = 270

-52.5y = - 367.5

y = 367.5 / 52.5

y = 7

x = 25.5 - 2.5(7)

x = 25.5 - 17.5

x = 8

Answer:

A or [tex]\frac{\sqrt{6} }{2}[/tex]

Step-by-step explanation:

*note- this method only works because the denominator values are being multiplied, if they were being added then there are extra steps to keep in mind but for now this is simple*

Start by dividing the root 12 in the numerator by the root 2 in the denominator

[tex]\frac{\sqrt{12} }{\sqrt{2} }=\sqrt{6}[/tex]

Then we simply substitute back in the 2 (from the denominator) that we ignored for a second to get our answer

[tex]\frac{\sqrt{6} }{2}[/tex]

*note- if you are allowed to use a calculator then you could also plug in your values to check each answer option but since this question isn't too complicated there should be no need to do so unless you forget how to solve it algebraically*

Answer:

Step-by-step explanation:

Yeah the equation is change in y over change in x; change in is represented with the delta sign, so y2-y1/x2-x1

Answer:

Z= 180 X = 95   y= 147

Step-by-step explanation:

Z=180 because it is a line and when it is a line it = 180 degrees

for X you want to first find the angle of the other triangle and when you do you subtract that # from 180 because those 2 angles make a line

to find that angle next to X is...

180- (the other 2 angles in the triangle)

180- 45- 50

180-95

85 degrees

now do

180-85

95 degrees   -- this is what X =

now you want to find the angle that is left in one triangle

so do

180- 95- 52

180- 147

33 degrees -- the angle that was missing

to find Y do...

180- 33

147 degrees -- this is what Y =

Answer:

y = 1

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point is located 4 units to the left of the origin and 2 units below the

x-axis.

4 units to the left of the origin.

This means,

x = -4

2 units below the x-axis.

This means,

y = -2

The coordinate in the form of ordered pair is (-4, -2).

Thus,

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

Learn more about coordinates here:

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Answer:

65ft

Step-by-step explanation:

Pythagoreom therom

Answer:

15per 6 hours

Step-by-step explanation:

2.5x2=5x3=15

Answer:

64x^6

Step-by-step explanation:

4x^2 x 4x^2 x 4x^2

16x^4 x 4x^2

64x^6

Answer:

I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :

→ The cost (C) is equal to 45$ a day (d) plus 25$!

Now that your equation is put into words, all that you have to do is write down the equation without the words :

→ C = (45d) + 25

If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :

d = 7 (in this particular situation)

C = (45 × 7) +25

↓

C = 315 + 25

↓

C = 340

→ So it would cost 340$ to rent a car for a week!

credit goes to naomi479xx for solving this answer.

Answer:

semiannually = $1609.77

monthly = $1128.71

Step-by-step explanation:

Answer:

A. Obtuse triangle

B,C,D. Acute

Step-by-step explanation:

Answer

this is a Parallelogram or a Polygon

Step-by-step explanation:

most likey the polygon

as i see it, it looks like a polygon

Answer:

22

Step-by-step explanation:

Add al the digits (198) then divide by how many digits there are (9)

198÷9=22

Answer:

1 / 89927760

Step-by-step explanation:

Recall :

Probability = required outcome / Total possible outcomes

To pick five number for a lottery from the range (1 - 41) ;

For this scenario, selection will be done without replacement

To win lottery , all 5 selections must be matched

P(1st pick) = 1 / 41

P(2nd pick) = 1 /40

P(3rd pick) = 1/39

P(4th pick) = 1/38

P(5th pick) = 1/37

(1/41 * 1/40 * 1/39 * 1/38 * 1/37) = 1 / 89927760

Hence, Probability of winning lottery = 1 / 89927760

Answer:

5.625 is the correct answer to convert five whole five over eight from fraction to decimals.

Step-by-step explanation:

=5/8+5

=0.625+5

=5.625#

Answer: 75%

15/60 wore orange shirts

45/60 didn’t

45/60 = 0.75 = 75%

Answer:

D

Step-by-step explanation:

because i see it xD but like > 15 mean you going to the left soooo and u got to satrt at 15

Answer:

40 square feet

Step-by-step explanation:

I gotcha bro

4 x 12 = 48

48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40