Write an equation in slope intercept form that has a slope of \frac{3}{2}
2
3
​
goes through these two points.
\left(2,-6\right)\&\left(4,-3\right)(2,−6)&(4,−3)

[tex]f(x)=(1-x^2)^{\frac{2}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3}(1-x^2)^{-\frac{1}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3\sqrt[3]{1-x^2}}[/tex]

when it comes to a rational expression, we can get critical points from, zeroing the derivative "and" from zeroing the denominator alone, however the denominator provides critical valid points that are either "asymptotic" or "cuspics", namely that the function is not differentiable or not a "smooth line" at such spot.

if we get the critical points from the denominator on this one, we get x = ±1, both of which are cuspics.  Check the picture below.

Answer:12

Step-by-step explanation:

z=60/5

well, let's take a peek at the pyramid, hmmmm it has a triangular face that has a height of 5 and a base of 4, wait a second! it reallyi has 4 of those, ooook, and then it has a bottom that is a 4x4 square.

[tex]\stackrel{\textit{\large Areas}}{\stackrel{four~triangles}{4\left[ \cfrac{1}{2}(4)(5) \right]}~~ +~~\stackrel{square}{(4\cdot 4)}}\implies 40+16\implies 56[/tex]

Answer:

To take the question as it is written, the question is how much would it be to buy 9 pens. Long one to believe that they are wanting to buy nine and not just a total of 9. If each of us $1.50, to buy 9 pens would be $13.50. At this point they would have bought 9 pens and have received 4 free, for a total of 13 pens.

Step-by-step explanation:

The slope of the linear equation is 20 and the y-intercept is 150

Slope measures how steep a straight line is. It is described as rise over run.

The slope of the linear equation can be found as follows;

He opens the account with $150 and he plans to save $20 each week. Therefore,

let

x = number of weeks

Therefore,

where

y = amount in his account after x number of weeks.

Using the slope intercept equation,

where

m = slope

c = y-intercept

Therefore, the slope of the linear equation is 20 and the y-intercept is 150

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Answer:

no outlier

Step-by-step explanation:

An outlier is basically a number that "different" or "outcast" in a group of numbers.

If we look at this data set, there are no particular outliers that are "different" or an "outcast."

Therefore, the answer is no outliers.

Answer:

No

Step-by-step explanation:

Exponents are only added when polynomials are multiplied and only applies to like terms. You add the coefficients of the like terms instead.

For example:

[tex](x^2+3x+6)+(2x^2-4x+1)=(1+2)x^2-(3-4)x+(6+1)=3x^2-x+7[/tex]

Answer:

no

Step-by-step explanation:

The exponents are added when the the same coefficient is multiplied:

[tex]x^2(x^3) = x^5[/tex]

If you think about it:

x^2 = x * x    and     x^3 = x * x * x

so you get:

(x^2)(x^3) = x * x * x * x * x = x^5

But, when adding x's of the same power, you add a coefficient:

[tex]x^2 + x^2 = 2x^2[/tex], not [tex]x^2 + x^2 = x^4[/tex]

Always remember to only add exponents when the coefficient/variable is multiplied, not added.

And, when an exponent is put to an exponent, multiply them:

[tex](x^3)^3 = x^3^(^3^) = x^9[/tex]

I am prertty sure it is the third opption. if not then I think you are right about the one you already chose. Super sorry if wrong

Answer:

x=50

Step-by-step explanation:

Since Line AB and Line CD are parallel, Angle AFG is supplementary to Angle CGF. So then x+3x-20=180. Then you just solve for x.

Combine like terms-> 4x-20=180

Add 20 to both sides-> 4x=200

Divide both sides by 4-> x=50

Hope this helps!

Feel free to ask if you still don't understand something

Answer:

[tex]x=1, x=3, x=7[/tex]

Step-by-step explanation:

Start multiplying and adding all together. You get[tex]x^3-11x^2+31x-21 =0[/tex].

At this point we're stuck factoring since there exist a formula for the roots, but it's nowhere easy to remember. We start writing down The List (rational root theorem: it's the divisor of the constant term divided by the divisor of the lead coefficent, with a plus or minus, in our case it's [tex]\pm1, \pm3, \pm7, \pm 21[/tex]) and let's try checking one by one.

Value [tex]+1[/tex] gives a zero on the LHS, it means the polynomial is divisible by [tex](x-1)[/tex]. By doing the division, or writing it as [tex](x-1)(ax^2+bx+c) = x^3-11x^2+31x-21[/tex], multiplying on the LHS and then finding the values of a, b, and c (easiest for me, your mileage may vary) we can write our expression, finally, as

[tex](x-1)(x^2-10x+21) =0[/tex] At this point you can either apply the quadratic formula or decompose again the second factor as

[tex](x-3)(x-7)[/tex] by finding two numbers whose sum is -10 and product is 21, ie -3 and -7. At this point the expression

[tex](x-1)(x-3)(x-7)=0[/tex] is true if [tex]x=1, x=3, x=7[/tex]

Answer:

53 secs

Step-by-step explanation:

Answer:

C The distance around the circle is the circumference

Step-by-step explanation:

For information:

A is the diameter

B is the radius

Answer:

24265

Step-by-step explanation:

I think you just need to add the expressions 23000 and 1265

23000 + 1265

= 24265

Answer:

6

Step-by-step explanation:

if you use a= l x w substitute in what you know

54 = 9 x w

divide both sides by 9

b=6

Answer:

The tree is approximately 91.2 ft tall.

Step-by-step explanation:

Hi there!

We're told:

- angle of elevation = 69 degrees

- there is a point 35 feet from the tree

If we were to draw this out, it would appear to be a right angle triangle. See the picture below.

Now, to solve for the height of the tree, we can use the sine law:

[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) } [/tex]

where a and b are two sides of a right triangle and A and B are the respective opposite angles

Let the height of the tree = h.

Side h is opposite of the angle measuring 69 degrees:

[tex] \frac{h}{ \sin {69}^{o} } [/tex]

Let the angle opposite of the side measuring 35 feet = A.

[tex] \frac{35}{ \sin(a) } [/tex]

Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.

[tex] \frac{35}{ \sin {21}^{o} } [/tex]

Use the sine law:

[tex] \frac{h}{ \sin {69}^{o} } = \frac{35}{ \sin {21}^{o} } [/tex]

[tex]h = \frac{35}{ \sin {21}^{o} } \: \sin {69}^{o} [/tex]

[tex]h = 91.17812[/tex]

Therefore, the tree is approximately 91.2 ft tall.

I hope this helps!

Answer:

The amount of money originally spent and the money made by Stefan is required.

Stefan originally spent $110.

Money Stefan made is $66.

Step-by-step explanation:

Answer:

x ≥ 14

Step-by-step explanation:

Answer:

x ≥ 14

Step-by-step explanation:

The ≥ sign represents greater than or equal to, so x ≥ 14.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

y = root under 24 (evaluate it if necessary)

or y = 2 root 6

Step-by-step explanation:

Let the reference angle be x

for the triangle in left,

b = 6-4 = 2

Now,

taking x as refrence angle,

cosx = b/h

or, cosx = 2/h

again,

for the bigger triangle,

taking x as reference angle,

cosx = b/h

or, cosx = b/6

As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,

Let's suppose its a

so, cosx = a/6 = 2/a

now,

a/6 = 2/a

or, a² = 12

now,

for bigger triangle, using pythagoras theorem,

h² = p²+b²

or, 6² = y² + a²

or, 36 = y² + 12

or, y² = 24

so, y = root under 24

Answer:

1) X=12

Step-by-step explanation:

The triangle is congruent by SAS because one side is congruent, one is 90 degree that means other angle is also 90. Which is SAS, if the triangle is congruent then cpctc

Answer:

positive numbers show deposits so it'd be A! $126.40

The total distance travelled by the car is 80 miles.

Speed is the ratio of total distance to total time. It is given by the formula:

Speed = distance / time

From the graph:

Distance = speed * time

Total distance = 20 mph * 1 hour + (30 mph * (90 - 60)/60 hour) + (50 mph * (120 - 90)/60 hour) + (40 mph * (135 - 120)/60 hour) + (20 mph * (150 - 135)/60 hour) + (10 mph * (180 - 150)/60 hour) = 80 miles

The total distance travelled by the car is 80 miles.

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Answer:

(i) mean: 5.4 median: 5.5 mode: 8

(ii) mean: 4.6 median: 5 mode: 5

(iii) mean: 17.5 median: 4 mode: 4

Step-by-step explanation:

Hope this helps :) please mark me Brainliest

Answer:

The writing isn't clear though hope it helps

From the equation solved, it can be deduced that the value of x will be -5.

From the information given, the equation is 4x/7 - 6 = -20. The step to solve it is given below:

4x/7 - 6 = -20

Cross multiply

4x = -20(7 - 6)

4x = -20(1)

4x = -20

Divide both side by 4

4x/4 = -20/4

x = -5

In conclusion, the value of x is -5.

Learn more about equations on:

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Answer:

Given

addition property of equality

multiplication property of equality

division property of equality

Step-by-step explanation:

I took the test

Answer:

[tex]A=-3[/tex]

Step-by-step explanation:

[tex]~~4a+ 28 = 10-2a\\+2a~~~~~~~~~~~~+2a\\~~~~6a+ 28 = 10\\~~~~~~~-28~~-28\\~~~~~6a = -18\\~~~~~~/6~~~/6\\~~~~~a=-3[/tex]

If you want to check your answer look below:

[tex]original~equation:\\4a + 28 = 10 - 2a \\\\To~check~your ~answer~plug~in~-3~for ~a:\\4(-3)+28=10-2(-3)\\[4 x -3 = -12] [ -2 x -3 = 6]\\\\\\Then~you~end~up~with:\\-12+28=10-6\\\\[-12+28=4] [ 10-6=4]\\\\Your solution then is:\\4=4\\This means that this is a true statement and that a=-3[/tex]

Hope this helps let me know if you have any questions about my answer

Answer:

To enable a set of three numbers to represent three sides of a triangle, sum of smaller two numbers must be greater than the largest number. Hence, only C can represent a triangle.

⚪ The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees

The answer is none

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4.25, so we can write it down as 100%=4.25.

4. We know, that x% equals 3.4 of the output value, so we can write it down as x%=3.4.

5. Now we have two simple equations:

1) 100%=4.25

2) x%=3.4

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4.25/3.4

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.4 is what percent of 4.25

100%/x%=4.25/3.4

(100/x)*x=(4.25/3.4)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

now we have:

3.4 is 80% of 4.25

BASICALLY 80%-