What is the equation of the line of the graph?


Question 12 options:


y= 2x + 1



y= -x -2



y= x + 2



y= -2x + 1

Answer:

[tex] \frac{1}{5} [/tex]

Answer:

(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa

Step-by-step explanation:

Answer: 4(3)^w = 972

Answer:

[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]

Answer:

B

Step-by-step explanation:

20 × 2/5 = 8

15 × 2/5 = 6

5 × 2/5 = 2

p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...

yeah, your welcome :)

Answer:

x= 3(y+8)/

8

y= 8(x-3)/

3

Answer:

400 ft^3

Step-by-step explanation:

To find volume you simply do length x width x height

So, 10 x 8 x 5 which equals 400 ft; We make it have a power of 3 (cubed) because it is 3 dimentional object.

Hope this helps!

Answer:

188

Step-by-step explanation:

25(7)-(-13)

=175 - 1(-13)

=188

The given quadratic equation 3x^2 – 24x + 10 can be written in vertex form that is f(x) = 3(x – 4)2 – 38.

A quadratic equation is an equation of degree 2 and the standard form of a quadratic equation [tex]ax^{2} +bx+c[/tex] where x is the variable and a,b, c are real numbers.

Following the steps already shown to transform the given function into the vertex form,

[tex]f(x) = 3(x^{2} - 8x + 16) + 10 - 3(16)\\f(x) = 3(x - 4)(x - 4) + 10 - 48\\f(x) = 3(x - 4)2 - 38[/tex]

Therefore, the function written in vertex form is f(x) = 3(x – 4)2 – 38.

Learn more about quadratic equations;

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Answer:

The answer is D!

Step-by-step explanation:

The surface area of the hexagonal pyramid is the amount of space on it

The given parameters are:

This is calculated using:

V = 1/3Bh

So, we have:

V = 1/3 * 41.5 * 6

Evaluate the product

V = 83

Hence, the volume of the pyramid is 83 cubic centimeters

This is calculated using:

S = L + B

Given that:

A hexagonal pyramid has 6 lateral sides.

So, we have:

S = 6 * 14 + 41.5

Evaluate

S = 125.5

Hence, the surface area is 125.5 square centimeters

Read more about areas and volumes at:

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Answer: 214 degrees

Step-by-step explanation:

Answer:

4 mg

Step-by-step explanation:

Plug in everything that they have given for the equation

since x is the number of half-lives, and iodine-131 has a half-life of 8, and the question is asking for how much there will be left after 32 days, 8 * 4 = 32, so x will be 4.

y = 64(0.5)^4

and solve

y = 4

so there will be 4 mg of iodine-131 left after 32 days.

Answer:

4 mg

Step-by-step explanation:

half- life is 8 days then 32 ÷ 8 = 4 half- lives , then

y = 64 [tex](0.5)^{4}[/tex] = 64 × 0.0625 = 4 mg left

Answer:

[tex](x-6)^{2} +(y-7)^{2} =81[/tex]

Step-by-step explanation:

The general equation for a circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius

Plug in the (6,7) for the center and 9 for r

Answer:

-1

Step by step explanation:

[tex]\dfrac{4^3/(-12+2^2)}{(2\cdot 3)^2+(-5 \cdot 2 \cdot 3) +2}\\\\\\=\dfrac{-\tfrac{64}8}{36-30+2}\\\\\\=-\dfrac{8}{8}\\\\=-1[/tex]

Answer:

a. 1710 b. 71.25

Step-by-step explanation:

the formula for simple interest is i=prt

2(9500)(0.09)= 1710

to find the monthly payment, divide by the number of months.

1710/24=71.25

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   [tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]

That means 510 people showed up

Hope that helped!

Answer:

Answer:

first of all you have to take the L.C.M of both which will be 100

Step-by-step explanation:

[tex]2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} [/tex]

Answer:

Part A: The slope f(x) is greater than slope g(x).

Part B: f(x) has a greater y-intercept.

Step-by-step explanation:

Part A:

The slope of the line is (y2 - y1)/(x2 - x1), so now we have to find the slope f(x).

-1 - (-9) / 0 - (-1) = 8/1 = 8

That would be the slope, and for g(x) it would be 3x-2 = 3.

Which means the slope f(x) is greater than slope g(x).

Part B:

First the y-intercept has to be put on 0.

So, the when function f(x) passes through point (0, -1), then y-intercept is -1.

Now we compare g(x) = 3x-2 with the slope-intercept form and b = -2 is the result. form and b = -2 is the result.

Which means the slope of g(x) is -2. Therefore, f(x) has a greater y-intercept than g(x).

Answer:

A)  Slope of f(x) is 8.  Slope of g(x) is 3

B)  f(x) has the greater y-intercept

Step-by-step explanation:

Part A

To find the slope of function f(x), use the slope formula:

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{7-(-1)}{1-0}=8[/tex]

Therefore, the slope of f(x) is 8.

Linear function

[tex]y=mx+b[/tex]

where:

Given:

Therefore, the slope of g(x) is 3.

Part B

The y-intercept is when x = 0.  Therefore, from inspection of the table, the y-intercept of f(x) is -1.

The y-intercept of function g(x) is -2.

Therefore, as -1 > -2, function f(x) has the greater y-intercept.

Answer:

this is my answer

5n (5n - 1)

4n (8 + 7) - 20

Answer:

9/33

Step-by-step explanation:

find the total of people that have attended college (9+12+12 =33)

now go to the number of people that are both college and conservative (9)

The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that table shows differences in political ideology, by education, for a random sample of voters.

To find the total of people that have attended college (9+12+12 =33)

P(conservative attended college) = (Type an integer or a simplified fraction)

To the number of people that are both college and conservative (9)

P(conservative attended college) = 9/33

Learn more about probability here;

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#SPJ2

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

Answer:

1, -5

Step-by-step explanation:

you can this solve easily

3 - -1 = 4 units down from y = -1

x does not change in this reflection

Answer: B

Step-by-step explanation:

Answer:

6,000 meters.

Step-by-step explanation:

Denali is 6,190 meters so round it off to 6000.

Answer: 6,200

Step-by-step explanat

Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.

Therefore, the answer should be 6,200

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:

[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]

For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)

Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:

[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]

Thus, the coordinates of vertex of  [tex]y = ax^2 + bx + c[/tex] is:

[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]

The missing steps of work of Jan'ai are:

[tex]y = 5x^2-20x-25[/tex]

[tex]y = 5(-2)^2-20(-2)-25[/tex]

[tex]y = 35[/tex]

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],

Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

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Answer:

The answer is D on edge

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

the reason is, for a direct relation between x and z we have too little information.

z could be huge, much, much bigger than y and x, or just bigger by 1 than y.

so, assume e.g. the following 2 scenarios

z = 6

y = 5

x = 4

and

z = 600

y = 26

x = 3

A

x + y > z

is true for the first scenario, but not for the second. so, it is not always true.

B

z - x < z - y

no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.

C

xz > yz

no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.

D

z/x < z/y

no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.

E

yz > xy

in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.

Answer:

The answer is Sue or B

Step-by-step explanation:

Sue Paid : 0.12 per ounce when divided

Sarah Paid 0.13 per ounce when divided

Answer:

C, Sarah paid less

Step-by-step explanation:

3.84/32 = 0.12

5.20/40 = 0.13

Sarah paid less per ounce.

The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2

The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.

The formula for calculating the midpoint is expressed as:

[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]

Given the coordinate points p(-10, -8) and (-5, -3).

Calculate the midpoint of pq

[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]

Hence the midpoint of the coordinate pq is (-7.5, -5.5)

Determine the distance pq

pq = √(-3+8)²+(-5+10)²

pq = √(5)²+(5)²

pq = √50

pq = 5√2

Hence the distance between the point pq is 5√2

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Answer: 15

Step-by-step explanation: