Use the graph to determine the domain and range of the relation, and whether the relation is a function.
a. Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10}
Yes, the relation is a function.
b. Domain: {x| -10 ≤ x ≤ 10}
Range: {y| -6 ≤ y ≤ 10}
Yes, the relation is a function.
c. Domain: {x| -10 ≤ x ≤ 10}
Range: {y| -6 ≤ y ≤ 10}
No, one y-value is shared by two x-values.
d. Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10}
No, one y-value is shared by two x-values.

Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

A.P.

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

Answer:

AMH = 32

Step-by-step explanation:

The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal

x+86 = 24+2x

Subtract x from each side

x+86 -x =24+ 2x+2x-x

86 = 24 +x

Subtract 24 from each side

86-24 = 24+x-24

62 =x

x+86 = 62+86 =148

AMH is supplementary since it forms a straight line

AMH + x+86 = 180

AMH + 148 = 180

AMH = 180-148

AMH = 32

Answer:

2/3

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

25×53

Applying the fractions formula for multiplication,

=2×55×3

=10/15

Simplifying 10/15, the answer is

=2/3

Answer:

The equation for the price, as a function of time in hours is:

P(x) = 20*x    for 0 ≤ x ≤ 2

P(x) = 40 + 10*(x - 2)  for  2 ≤ x

Now, we want to evaluate this function in 40 mins.

we know that 1 hour = 60mins.

Then 40 mins = (40/60) hours = 0.67 hours.

Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:

P(0.67) = 20*0.67 = 13.4

So in 40 mins, the charge will be 13.4 pesos.

Sum of three terms in a GP = 7

Product of the numbers = 8

G.P

Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.

So,

⟹ a/r + a + ar = 7 -- equation (1)

And,

⟹ (a/r) * a * ar = 8

⟹ a³ = 8

⟹ a = ³√8

⟹ a = 2

Substitute the value a in equation (1).

⟹ 2/r + 2 + 2r = 7

⟹ (2 + 2r + 2r²)/r = 7

⟹ 2 + 2r + 2r² = 7r

⟹ 2r² + 2r - 7r + 2 = 0

⟹ 2r² - 5r + 2 = 0

⟹ 2r² - 4r - r + 2 = 0

⟹ 2r(r - 2) - 1 (r - 2) = 0

⟹ (2r - 1)(r - 2) = 0

★ 2r - 1 = 0

⟹ 2r = 1

⟹ r = 1/2

★ r - 2 = 0

⟹ r = 2

If r = 1/2 ;

a/r = 2/(1/2) = 2 * 2 = 4

a = 2

ar = 2 * 1/2 = 1

If r = 2 ;

a/r = 2/2 = 1

a = 2

ar = 2 * 2 = 4

∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.

I hope it will help you.

Regards.

Step-by-step explanation:

Assume that the 4 terms are a/r, a , ar, ar2.

Product of first 3 terms = a3 =8

=> a=2

Sum of last 3 terms :

a(1 + r + r2) = 14

=> r2 + r - 6 = 0

Solving the above equation r= -3 or 2

So the terms are

-2/3, 2, -6, 18

Or

1, 2, 4, 8

Answer: Is it 24

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got stuck on it too lol

The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.

Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).

Since sum of side lengths of the triangle of vertices: 3

Area: ½ × base × height

Number of edges: 3

Internal angle: 60° (for equilateral)

The Sum of interior angles is 180°

Therefore, the coordinates of the intersection indicate will be;

B. the output when the input is zero.

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Answer:

16.1 mph is your rate

Step-by-step explanation:

Answer:

16.1 per hour

Step-by-step explanation:

just divide the mile by the hours.

64.4 / 4

Answer:

Literally take your f(x) and - your g(x)

(x^2+9x+18) - (x + 6)

Remember to distribute the negative sign.

Answer:

in 50 hours it will be 11 am 2 days later

Step-by-step explanation:

24 hours is one day

2*24 = 48 hours is 2 days

50-48 = 2 hours

add 2 hours to 9 am

11 am

in 50 hours it will be 11 am 2 days later

Answer:

The slope is 29 mm.

Step-by-step explanation:

What we know:

The radius of this cone is 20 mm, and the height is 21mm

s = √r^2 + h^2

s = √20^2 + 21^2

s = √400 + 441

s = √841

s = 29 mm

The slant height of the cone is required,

The ant would have to crawl [tex]29\ \text{mm}[/tex]

V = Volume of cone = [tex]8792\ \text{mm}^3[/tex]

r = Radius of cone = 20 mm

h = Height

s = Slant height.

Volume of a cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]

From Pythagoras theorem we have

[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]

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Answer:

[tex](j-5)(j+3)[/tex]

Step-by-step explanation:

[tex]j^2-2j-15=(j-5)(j+3)[/tex]

The age of John’s brother is j-5 and the age of John’s sister is j+3.

Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The solution for j²-2j-15 is as follows

j²-2j-15

⇒ j²-5j+3j-15

⇒ j(j-5)+3(j-5)

⇒ (j-5)(j+3)

Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.

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Answer:

What are we meant to do its sideways

Step-by-step explanation:

Answer:

Step-by-step explanation:

p=15-4

p= 11

Answer:

12 dimes, 10 nickels

Step-by-step explanation:

12x10=120 or in this case $1.20

10x5=50 or $0.50

50+120=170 or $1.70

Sorry if any of it is wrong, I am doing this in the car and in my head

Answer:

anyways kikiwaka nana

Step-by-step explanation:

zu zu zu fheibgerghberg

rejgnerkgnerjgeik

Answer:

1.5*10^7

Step-by-step explanation:

That's same as saying standard form

Answer:

1.5 x 10 to the 7th power

Step-by-step explanation:

There are 7 digits between the decimal point in 15,000,000.0 and the first digit. So it can then be rewritten as 1.5 x 10 to the 7th power

The cubed root of -512 is 8.  

Answer:

100°

Step-by-step explanation:

180 - 80 = 100

The line is 180 so you take away what you already know (80) and then you have 100.

Answer:

180 degree (exterior angle ) please follow and like me

Answer:

The slope of the line is -1

Step-by-step explanation:

Slope of a Line

Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table in the image, we select the points (1,4) (3,2). The slope is:

[tex]\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1[/tex]

Now select two other points like (5,0) (7,-2)

[tex]\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1[/tex]

Following the same procedure with any other pair of points, we'll get the very same result:

The slope of the line is -1

Answer:

Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.

Answer:

Her mean quiz score is 92.25%.

Answer:

92.25

Step-by-step explanation:

Mean is the same as average. Add all the scores together and then decide by the number of scores.

(92+94+100+83)÷4

369÷4=92.25

Answer:

i believe the answer is 4

Step-by-step explanation:

Answer:

i think you need to find the squar rout and you can just do that with a caulator.

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function      

Answer:Not a function

Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.

Answer:

w=2r

r= w/2

r- w/2 = 0

w -2r= 0

Step-by-step explanation:

Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives

w=2r

when w= 1

w= 2(1) = 2

For 1st week 2 recipes are learned

when w= 2

w= 2( 2) = 4

For 2nd week 4 recipes are learned.

or

when r= 2

r= w/2

r =2/2  = 1  one  recipe is learned in half of the week  

r- w/2 = 0

or

w -2r= 0

Answer:

= 48 + 8

= 56

Step-by-step explanation:

hope its helps

good luck

Answer:

5:20 3:12

Step-by-step explanation:

The first number is 1/4 the size of the second number, hence thise being correct.

Step-by-step explanation:

[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]

The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]

Two or more expressions with an Equal sign is called as Equation.

Let us find the inverse of the equation y = 16x² + 1.

To find inverse we need to replace y with x and x with y in the original equation to obtain:

x = 16y² + 1

Now solve for y in terms of x by rearranging the terms

x - 1 = 16y²

Divide both sides by 16

y² = (x - 1)/16

Take square root on both sides.

y = ±√[(x - 1)/16]

Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:

y = ±√[(x - 1)/16]

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