Write the equation 22x - 2y = –18 in slope-intercept form (y=mx+b).

Answer:

see below

Step-by-step explanation:

h(x) = (x − 5)^2 − 7

This is in vertex form

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

where ( h,k) is the vertex and x=h is the axis of symmetry

( 5,-7) is the vertex and x=5 is the axis of symmetry

Answer:

C

Step-by-step explanation:

so

a≤b

b≤c

definitely a can't be more of c

at last, equal

so a≤c

Answer:

using identity (a+b)(a-b) = a^2 -b^2

Answer:

The answer is (x + 5)(x - 5).

Step-by-step explanation:

Assuming that 25 is a perfect square so you can apply :

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

Test :

[tex](x+5)(x-5) = {x}^{2} - 5x + 5x - 25 [/tex]

[tex](x+5)(x-5) = {x}^{2} - 25 [/tex]

Answer:

[tex]\boxed{(x-5)(x+5)}[/tex]

Step-by-step explanation:

x² - 25

Factor out square.

(x)² - (5)²

Apply difference of two squares formula.

a² - b² = (a-b)(a+b)

a = x

b = 5

x² - 25 = (x-5)(x+5)

Answer:

Step-by-step explanation:

You have the following hyperbola:

[tex]\frac{x^2}{32}-\frac{y^2}{82}=1[/tex]              (1)

The general for of a hyperbola:

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

To construct the graph you take into account the rectangle formed by the lines x=±a and y=±b, and the asymptotes of the diagonals of the rectangles.

Furthermore, you take into account the foci of the hyperbola, which are

(0,±a).

Then, you have the lines

x = ± √32

y = ± √82

And the foci:

(0, ± √32)

The graph is shown in the attached image.

Answer:

D

Step-by-step explanation:

On edg

Step-by-step explanation:

the answer would be 40 4x 10x h = 4x

Answer:

1 no ans is 13

2no. ans is 28

3 no. ans is 4

4no.ans is 2

we get all these by simplifying them....

Answer:

the slope is zero so,it dont have mx value in equn it just have c value.

Answer:

Step-by-step explanation:

Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;

Multiply both sides by 10

d/10 * 10 = 12*10

d = 120

It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality  was used to solve the equation.

Answer:

m∠1 = 90°

Step-by-step explanation:

Since the line is tangent to the circle, it creates a perpendicular bisector with the diameter. That means that the m∠1 has to be 90°

Answer:

440,816 miles per day

Step-by-step explanation:

Answer:

Dependent sample

Step-by-step explanation:

The sample: a data set includes the morning and evening temperature for the last 90 days.

The samples are dependent in that they are paired measurements on just one set of item which is the temperature.

These measurements are related in such a way that the each observation in one sample can be paired with an observation in the other sample.

Answer:

G.

Step-by-step explanation:

Since the y-int is (0, 4), you know you have to have an equation that has a +4 in it. When you calculate for the slope, you should get 4/3, and so the only equation that has those 2 is G.

Answer: 60 meters

Explanation:

"It will probably help to have a diagram to look at:

Since we're told that the fenced area is to be a rectangle, draw a rectangle.

Since one side is to be the barn, choose a side of the rectangle to be a the barn. (It doesn't matter which side you choose.)

Label the two sides of the rectangle that are connected to the barn as "x". (Since this is a rectangle these opposite sides should be the same.)

The hardest part is the side opposite the barn. We know that we have 120 meters of fence to use. It hope it makes sense that to get the maximum area we should use all the fencing. So the lengths of the three "non-barn" sides will be 120. So how do we express the length of the side opposite the barn? Well if we know what "x" was it would be easy. For example if x = 35 then the side opposite the barn would be 120 - 35 - 35 = 50. We now use this same logic even though we don't know what "x" is yet. The side opposite the barn will be

120 - x - x

which simplifies to:

120 - 2x

We can now find a solution. The area of any rectangle is length times width (or base times height). So for our rectangle the area will be: A = x (120 - 2x)

This is a quadratic equation so I am going to rewrite it in ax^2+bx+c: A=-2x^2 + 120x

We should recognize that the graph of a quadratic equation will be a parabola. And since the squared term is x^2 this parabola will open upward or downward. And since the "a" is negative (-2 to be specific), this parabola will open downward. If we picture a downward-opening parabola in our minds we should be able to understand that the vertex of the parabola will be the highest point of the graph. So the x-coordinate of the vertex will give the the maximum value for A, the area.

So we just need to figure out the x-coordinate of the vertex. This can be done by completing the square or by just knowing that the x-coordinate of the vertex would be '-b/2 + a.'

Our "b" is 120 and our "a" is -2 so the x-coordinate of the will be: -(120/2*(-2)) = 30

This is the x that gives us the maximum area. (If you're curious as to exactly what number this maximum area is, just substitute 30 for x into A=-2x^2+120x)

So we can label the two sides of "x" as 30's. And since the side opposite the barn is 120 - 2x, it will be 120 - 2(30) = 120 - 60 = 60 meters."

-jsmallt9

Answer:

I hope it will help you.......

Answer:

D.   22.5 sq. un.

Step-by-step explanation:

W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.

That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un.  - Also 4.5*2=9 to get WUV

V is the midpoint of the line BS so that means that BUV and UVS are equal

we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle

=27

The last step is to get rid of BVW which we know is 4.5

27-4.5=22.5

Answer:

Here you go mate!

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x - 1/9y = 18

Put y as 27 and evaluate.

3x - 27/9 = 18

3x - 3 = 18

Add 3 on both sides.

3x = 21

Divide 3 on both sides.

x = 7

Answer:

A strong linear relationship between two or more independent variables

Step-by-step explanation:

Multicolinearity underestimates the statistical significance of the independent variables. It exists when an independent variable is highly correlated with one or many other independent variables giving rise to a large standard error.

Answer:

B. 3

Step-by-step explanation:

We can use secant theorem.

AX × BX = EX × DX

AX = 7 + 2 = 9

9 × 2 = (3 + x) × 3

18 = 9 + 3x

18 - 9 = 3x

9 = 3x

x = 9/3 = 3

The length of ED is 3 units.

Answer: B. 3 units

Good luck!

Answer:

It Should Be 12cm

Answer:

The conclusion drawn by Samir is Not correct.

Step-by-step explanation:

The spinning of a fair coin is a Bernoulli experiment.

There are only two outcomes: Heads (H) or Tails (T).

Theoretically, each of the two outcomes has an equal probability of occurrence i.e. P (H) = P (T) = 0.50.

Now, suppose an experiment is conducted to test this theory.

The law of large numbers, in probability concept, states that as the number of times an experiment is conducted, say n, in increased, the average value of the experiment approaches the expected value.

To determine whether ‘A head is more likely than a tail', the experiment of spinning the coin must be repeated more than n = 4 times.

In statistics, n = 30 is considered as a large enough sample.

So, the conclusion drawn by Samir is Not correct.

Answer:

The answers are A and C. for A P E X.

Step-by-step explanation:

The option(A) minimum y-value of g(x) approches -3 and option(C) f(x) has the smallest possible y-value are correct.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm f(x) = 3x^2-3[/tex]

As we can see in the graph the first term is 3x² and is always positive for all x.

The range for f(x) ∈ [-3, ∞)

When x = 0

f(x) = -3

The above value is the smallest possible value on the y-axis.

For function:

[tex]\rm g(x) = 2^x-3[/tex]

[tex]\rm 2^x[/tex] is also a positive quantity and it is an exponential function.

The range for the g(x) ∈ (-3, ∞)

It means g(x) never toches the y-axis at -3.

We can say the minimum value of g(x) approaches -3

Thus, the option(A) minimum y-value of g(x) approches -3 and option(C) f(x) has the smallest possible y-value are correct.

Learn more about the function here:

brainly.com/question/5245372

Answer:

13,000ml

Step-by-step explanation:

1000ml = 1L.

We can rewrite this forumla as:

yL x 1000=ml. y=the number of liters.

In this problem, y=13. Thus:

13Lx1000= 13,000ml

I hope this helps!

Answer:

13000

Step-by-step explanation:

Kilo                                         Base is whatever u are using liter, meter, ect.

Hecto                                     The amount goes up by ten when u move down                          

Deka                                       the metric system and vice versa.

Base 13

Deci  130

Centi 1300

Milli   13000

Answer:

Here are some rational numbers less than 5:

4, 4.2, -3, 0, 1/10, -5/16

A rational number is a number than can be written as a fraction of integers.

Answer:

rational numbers below 5 are 4,3,2,1,-1,-2,-3,-4 e.t.c

Answer:

Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.

Step-by-step explanation:

Since either job takes 2 hours to complete, the total number of jobs that Kevin can complete working 54 hours a week is:

[tex]n=\frac{54}{2}\\n=27\ jobs[/tex]

Since replacing shocks gives him a greater income, he should aim to do as little break replacements as possible and as many shock replacements as possible in order to maximize income.

If he has to complete at least 6 break replacements out of the 27 jobs possible, the number of shock replacements he should do is:

[tex]S=27-6\\S=21[/tex]

Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.

Answer:

The answer is C. 16x² - 56xy + 49y²

Step-by-step explanation:

A perfect square trinomial is the result of a squared binomial, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.

Hope you understand :)

Answer:

9f^2 - 12f + 4.

Step-by-step explanation:

(3f - 2)^2

= (3f - 2)(3f - 2)

= 9f^2 - 6f - 6f + 4

= 9f^2 - 12f + 4

9[tex]f^{2}[/tex] - 12f + 4.

Hope this helps!

Answer:

(5, -3)

Step-by-step explanation:

(-16+x)/2 = -5.5 => x=5

(4+y)/2 = 0.5 => y=-3

Answer:

14, 16

Step-by-step explanation:

The prime factorization of 224 is 2⁵ × 7. To make it a perfect square, we need the bases to have an even exponent, therefore we divide it by 2 × 7 = 14 to get 16.