These points are linear.
Find the slope.
x-3 -2 -1 0 1/2
y-3 -2 -1 0 1 2
slope = [?]

The line passes through the y-axis at point (0,4).

Step-by-step explanation:

On a coordinate plane, line DF goes through points (-1,-3) and (2,3).

So, the slope of the line DF is \frac{- 3 - 3}{- 1 - 2} = 2

−1−2

−3−3

=2

Then the straight line which is parallel to DF will be given by

y = 2x + c.

Where, c is any constant and we have to evaluate it if this line passes through the point (-4,-4).

So, - 4 = 2(- 4) + c

⇒ c = 4

So, the straight line which is parallel to DF and passes through the point (-4,-4) is y = 2x + 4.

Now, putting x = 0, we get, y = 4.

Therefore, the line passes through the y-axis at point (0,4). (Answer)

Answer:

The answer would be D

Step-by-step explanation:

Answer:

[tex]{ \bf{f(x) = {x}^{3} + {ax}^{2} - 1 }} \\ { \tt{f( - 1) : {( - 1)}^{3} + a {( - 1)}^{2} - 1 = 0}} \\ { \tt{f( - 1) : a - 2 = 0}} \\ a = 2[/tex]

The polynomial function [tex]$x^3 + ax^2 -1[/tex] will have -1 as a root at the value of

a = 2.

A polynomial function exists as a function that applies only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Given: A root exists at a value of x such that the polynomial exists equivalent to zero.

Let, the polynomial equation be [tex]$x^3 + ax^2 -1[/tex]

then [tex]$\mathbf{f}(\mathbf{x})=\mathbf{x}^{3}+a \mathbf{x}^{2}-\mathbf{1}$[/tex]

Put, x = -1, then we get

[tex]$\mathbf{f}(-1)=(-1)^{3}+\mathrm{a}(-1)^{2}-1=0$[/tex]

f(-1) = a - 2 = 0

a = 2

Therefore, the value of a = 2.

To learn more about polynomial function

https://brainly.com/question/26240147

#SPJ2

According to the question

b= 35 and (8,21) lies on the ellipse

After calculation we get a= 10

equation for the ellipse.

[tex] \frac{ {x}^{2} }{100} + \frac{ {y}^{2} }{1225} = 1[/tex]

Answer:

The dependent variable is the time taken to run 100 metres

Step-by-step explanation:

A dependent variable is simply one that is being measured or sometimes tested in an experiment.

Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.

Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.

Answer:

3,082,000

Step-by-step explanation:

THE ANSWER IS 3,082,000 HOPE IT HELPS

Answer:

[tex]1.5[/tex]

Step-by-step explanation:

[tex](6 \: \: \: \: \: 4)(4 \: \: \: \: \: 1) \\ m = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - 1}{6 - 2} \\ = \frac{3}{2} \\ = 1.5[/tex]

hope this helps you.

Answer:

use mathpapa If that helps, it a math calculator

Answer:1. = 4x+8  

2. 2a²-a+1

Step-by-step explanation:

1. ((x+2)+3x+6.  2. 2a(a-1)-a+1​

((x+2)+3x+6

= x+2+3x+6

= 4x+8

2a(a-1)-a+1

2a²-2a-a+1

2a²-a+1

Answer:

Approximately 2

Step-by-step explanation:

103 divided by 53 is 1.94

Round 1. 94 up to a whole number is approximately 2 wood pieces.

Given:

Kendra charges $8.00 for two puzzles and a piece of candy.

She charges $4.50 for one puzzle and a piece of candy.

To find:

The cost of each puzzle.

Solution:

Let x be the cost of a puzzle and y be the cost of piece of candy.

Kendra charges $8.00 for two puzzles and a piece of candy.

[tex]2x+y=8[/tex]               ...(i)

She charges $4.50 for one puzzle and a piece of candy.

[tex]x+y=4.50[/tex]             ...(ii)

Subtracting (ii) from (i), we get

[tex]2x+y-(x+y)=8-4.50[/tex]

[tex]2x+y-x-y=3.50[/tex]

[tex]x=3.50[/tex]

The cost of puzzle is $3.50. Therefore, the correct option is A.

Answer:

Option b, 112°

Step-by-step explanation:

<A+<B=180

or, 68+<B=180

or, <B=112

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and then y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of point E, then, are (0, 1).

Answer:

(-1,3)

Step-by-step explanation:

Mathematically, what we have to do here is to get the coordinates of the midpoint of the line AB

we have this as;

(x,y) = (x1 + y1)/2, (y1 + y2)/2

(x,y) = (-4+2)/2, (9-3)/2 = (-1, 3)

Answer:

v = 0.25

Step-by-step explanation:

v = ?

v x 16 = 4 (given)

v = 4/16

v = 0.25

Checking:

[ 0.25 x 16 = 4]

Answer:

1/4 or 0.25 (as a decimal)

Step-by-step explanation:

We know that v has an unknown value.

When it is multiplied by 16, we would get the product.

Turn it into an equation:

16x = 4

Find x:

4 ÷ 16 = 0.25 or 1/4

Now we’ve find x:

16 x 1/4 = 4

Which is a true equation

So x equals 0.25 or 1/4 (as a fraction)

I’d recommend choose fraction bu whatever is up to you!

Step-by-step explanation:

X-1/X=3

X-1=3×X

X-1=3X

-3X+X=1

-2X=1

X=1/2 Answer

Answer:

155

Step-by-step explanation:

first add 72 and 83 = 155. Then use 180-155=25. then subtract 25 from 180.

Answer:

D

Step-by-step explanation:

The distance from - 2 to 10 is 12. 12/6 is 2, so 2 spaces across

Answer:

(-1,2)

Step-by-step explanation:

hope you find this useful!

https://ncalculators.com/geometry/mid-points-calculator.htm

Answer:

Mean = 43.969

Standard deviation = 12.341

Step-by-step explanation:

Given the data :

36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, 50.06

The sample mean :

Σx / n = 351.75 / 8 = 43.969

Sample standard deviation :

√Σ(x - mean)²/n-1

√[(36.45-43.969)² + (67.90-43.969)² + (38.77-43.969)² + (42.18-43.969)² + (26.72-43.969)² + (50.77-43.969)² + (38.9-43.969)² + (50.06-43.969)² ] / ((8 - 1)

Standard deviation = 12.341

Answer:

(-5,31/2)

Step-by-step explanation:

open bracket

y=1/2x^2+5x+28

compare with y=ax2+bx+c

use formula (-b/2a,4ac-b2/4a)

Answer:

boom box second one one my bad just need points my g

Step-by-step explanation:

Answer:

3

decreasing

negative

Step-by-step explanation:

The graph of function g crosses the x-axis at (3,0), so there is a zero at x = 3.

As the values of x increase, the values of g(x) decrease, so function g is decreasing along all intervals, including the interval [-5, 5].

As the values of x approach positive infinity, cube root functions either approach positive infinity or negative infinity. Since this function is decreasing, the values of g(x) approach negative infinity.

Answer:

The answer is "[tex]y\approx 1.4[/tex]".

Step-by-step explanation:

In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.

Answer:

b

Step-by-step explanation:

Answer:

£840

Step-by-step explanation:

800 × 1.05 = 840

(1.05 Is the decimal multiplier = (100% + 5%)/100)

Answer:

x = 3/9

= 1/3

Step-by-step explanation:

i did this assignment and got it right

Answer:

Probability[(X - μ) < 1.1] = 0.6046

Step-by-step explanation:

Given:

σ² = 64

Mean μ = 34

Find:

Probability[(X - μ) < 1.1]

Computation:

Standard deviation σ = √σ²

Standard deviation σ = √64

Standard deviation σ = 8

Probability[(X - μ) < 1.1] = Probability[-1.1 < (X - μ) < 1.1]

Probability[(X - μ) < 1.1] = Probability[-1.1/(8/√38) < (X - μ) < 1.1/(8/√38)]

Using z table

Probability[(X - μ) < 1.1] = 0.6046

Answer:

144[tex]\pi[/tex]

Step-by-step explanation:

Volume of a Sphere :

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]

V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)

V  = 288[tex]\pi[/tex]

Now divide by 2, it's only half of a sphere.

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Answer:

Step-by-step explanation:

If the product of 2 integers is -12, then that equation looks like this:

xy = -12

If the sum of those same 2 integers in 1, then that equation looks like this:

x + y = 1

Let's solve the second equation for x and plug it into the first equation. Solving the second equation for x gives us

x = 1 - y and plug that into the first equation in place of x to get:

(1 - y)y = -12 and

[tex]y-y^2=-12[/tex] Now move everything over to one side and factor to find y:

[tex]-y^2+y+12=0[/tex] and the 2 values for y are

y = -3 and y = 4. Let's see what happens when we solve for x.

If xy = -12 and y is -3:

x(-3) = -12 so

x = 4

If xy = -12 and y is4:

x(4) = -12 so

x = -3

So it looks like the 2 integers are -3 and 4

Answer:

10

Step-by-step explanation:

6 + h + 8 = 24

h + 6 + 8 = 24

h + 14 = 24

h = 24 - 14

h = 10

Answer:

I dont think i dont know this but its 10?

There are 3 even numbers out of 6 total numbers.

Rolling an even number would be 3/6 = 1/2

She would expect half the rolls should be even.

144/2 = 72

The answer is 72 times.