What is the value of x?
2
to
64°
X =

Answer:

[tex]y=-\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (6,-6) and (-2,-2)

[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{1}{2}x+b[/tex]

Plug in one of the given points and solve for b

[tex]-6=-\frac{1}{2}(6)+b\\-6=-3+b[/tex]

Add 3 to both sides

[tex]-6+3=-3+b+3\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:

[tex]y=-\frac{1}{2}x-3[/tex]

I hope this helps!

Answer:

0.325

Step-by-step explanation:

13 ÷ 40 = 0.325

Yo, why is your school still going on? :))))

Answer:

0.325

Step-by-step explanation:

13 out of 40 days.

13/40= 0.325

Answer:

I think the answer should be A

Answer:

So your answer would be A

Step-by-step explanation:

It is not B since a negative correlation, the only time it will be a negative correlation is if its going the other way or down

It is also not C since there is a correlation, (positive correlation) there would be no dots.

I dont think its D since the speed is increasing but the cost is not decreasing, this would represent a negative correlation.

So your answer would be A since the line is linear, it is mild (the points are not to close but not to far) and its positive since it is going right and up.

Hope this helped :D

Answer:

B

Step-by-step explanation:

Given a system of equations graphically, then the solution is at the point of intersection of the 2 equations.

As can be seen from the graph there is only 1 point of intersection, thus only one solution,

Answer:

$640.25

Step-by-step explanation:

Answer:

$640.25

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

i took the test

The standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2 is (x+3)² = -24(y+4), the correct option is D.

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

We are given that;

The vertex of parabola=(-4,-3)

Directrix of x is 2

Now,

The distance from a point (x,y) to the directrix x = 2 is the horizontal distance between the point and the line, which is |x - 2|. The distance from a point (x,y) to the focus (-4,f) is the distance between the point and the vertex plus the distance between the vertex and the focus, which is |y - (-3)| + |-4 - 2| = |y + 3| + 6.

|y + 3| + 6 = |x - 2|

To eliminate the absolute value, we can square both sides of the equation:

(y + 3)² + 12(y + 3) + 36 = (x - 2)²

(x - 2)² = (y + 3)² + 12(y + 3) + 36

x² - 4x + 4 = y² + 6y + 9 + 12y + 36

x² - 4x = y² + 18y + 45

x² - 4x + 4 = y² + 18y + 49

(x - 2)² = (y + 9)²

This is the standard form of the equation of the parabola, which has a vertex of (-4,-3) and a directrix of x = 2. Comparing this equation with the standard form of the equation of a parabola, we can see that the parabola opens horizontally to the left, and its focus is the point (-6,-3).

(x-2)² = -24(y+9)

Therefore, the equation will be (x+3)² = -24(y+4).

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

#SPJ7

Answer:

no

Step-by-step explanation:

Example:

Step-by-step explanation:

4a) The pressure of a basketball can have a large tolerance.

b) Writing an exam has a very low tolerance in terms of time allotment.

c) The amount of milk in a carton has a low tolerance.

Answer:

3rd option

Step-by-step explanation:

([tex]\frac{f}{g}[/tex] )(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x^2-5x-3}{2x^2+5x+2}[/tex] ← factorise numerator and denominator

= [tex]\frac{(x-3)(2x+1)}{(x+2)(2x+1)}[/tex] ← cancel (2x + 1) on numerator/ denominator

= [tex]\frac{x-3}{x+2}[/tex]

Answer:

their hopes will come true

Step-by-step explanation:

Using the formula for calculating amount expressed as;

A = P(1+r)^t

Given

P = $15000

r = 9.6% = 0.096

t = 15years (18-3)

Substitute;

A = 15,000(1+0.096)^15

A = 15,000(1.096)^15

A = 15000(3.9551)

A = 59,326.6

As we can see, the money is even more than twice the original amount, this shows that their hopes will come true

Answer:

a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.

Answer:

$63.30

Step-by-step explanation:

Assuming the $60 is excluding taxes:

60 * 1.055 = $63.30

Answer:

12.826 i think

Step-by-step explanation:

Answer:

(f • g)(x) = log (-x + 1)

Step-by-step explanation:

Here is a composite function

What we simply have to do here is to make a substitution

the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)

This simply mean that we replace every x we find in f(x) with the entire equation of g(x)

we have this as;

f(g(x)) = log (-x + 1)

Answer:

164/3

Step-by-step explanation:

Answer: 23.4 ft^3

Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.

Answer:

v ≈ 34.95ft^3

Step-by-step explanation:

h = 9.8ft

A^B = 10.7ft

V=A^B

h/3 = 10.7 • 9.8/3

≈34.95333ft^3

≈34.95ft^3

Answer:

y=4x-22

Step-by-step explanation:

The simplified form of 10⁹/10⁷ is 100.

The given expression is,

10⁹/10⁷

Since we know that,

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Since we also know that,

When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,

Therefore,

we can write the given expression

10⁹/10⁷ =  [tex]10^{(9-7)}[/tex]

            = 10²

            = 10 x 10

            = 100

Hence,

10⁹/10⁷ = 100

To learn more about exponent visit

https://brainly.com/question/31242910

#SPJ6

Your answer is correct .

Answer:

EF~GI

Step-by-step explanation:

I got it right on the quiz:)

Answer:

A, E, F

Step-by-step explanation:

With this question, it's mostly just trial and error.

[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.

[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.

[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.

[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.

[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.

[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.

Therefore, A, E and F are true.

**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

Answer:

miss rages is the best way of doing that and it will take a few months for a kid

Answer:

the answer is 20

32/8=h/5

cross multiply and boom!

I hope this help sry if it doesnt!

Step-by-step explanation:

Answer:

linear positive association is the answer

Answer:

A x=59 is yr correct answer

hope it helps

Answer:

[tex]x = 59[/tex]

Step-by-step explanation:

[tex](x + 17) = 76[/tex]

[tex]x = 76 - 17[/tex]

[tex]x = 59[/tex]

I would need to see the drop down, but I think it's perpendicular and touching.

Answer:

C

Step-by-step explanation:

Answer:

b I think it' hope I helped

Answer:

I think point D is the answer.

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Answer:

If the suspect goes to prison, then he was found guilty.

Step-by-step explanation:

Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.