Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 4, 0) and (0, negative 2).
a.
y = negative one-half x minus 2
c.
y = 4 x minus 2
b.
y = negative 2 x minus 4
d.
y = negative 4 x minus 2



Please select the best answer from the choices provided


A
B
C
D

Answer:

D.

Step-by-step explanation:

Use Quadratic formula

x =  [-b +- sqrt (b^2 - 4ac) ]  / 2a     with a = 6   b = -24    c = 1

  to find

         x = 2 ± sqrt (23/6)

Ivan's annual earnings for this bond is $45.00

A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.

Ivan's annual interest earning would be :

= $1,000 x 4.5 %

= $45 per year

Hence, Ivan's annual earnings for this bond is $45.00

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Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.

Whenever you have multiple choices, you have to multiply the number of choices you have in different groups to get the final number of choices.

For example, you have to make a sandwich and you can either use white bread or brown bread. Also, you can either use jam or peanut butter or veggies. Therefore, here the number of choices is 6.

Similarly, Jordan has two choices for type, two choices for transmission, 5 choices for color, and 2 choices for the top. Therefore, the number of choices Jordan has is,

Number of choices in total = 2 × 2 × 5 × 2

Hence, Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.

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Answer:

D

Step-by-step explanation:

Answer:

F(0.75)= 3/2 sq. root 3

F(9)= 9

F(7)= 3 sq. root 7

b) x= +-1

x=+-4

x= +- 49/9

Answer:

6 is the average

Step-by-step explanation:

You add all the numbers together

7 + 5 + 10 + 2 + 8 + 4 = 36

and then divide by the amount of numbers

36/6=6

Answer:

q = ³√64

(cube root 64 )

explanation :

we have to find the value of q but it's given q³ so to find the value of only q we send ³ to other side and it turns into cube root

for example :

like when it's q² = 64 it will be q = ²√64

Answer:

m<6 = 90°

Step-by-step explanation:

If lines are perpendicular, the angles form by their intersection measure 90°.

Answer: m<6 = 90°

Based on the figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,

⇒ m ∠6 = 90 degree

We have to given that,

Three lines r, n and p are shown in figure.

Now, We know that,

If a line is perpendicular to another line then it make a right angle in between them.

Hence, By given figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,

⇒ m ∠6 = 90 degree

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The amount of money that he should have at the closing of December should be $227.69.

The correct answer choice is option C

Given that,

And, it plans to save 10% more as compared to the last month.

The amount of money that he should have at the closing of December can be solved using the concept of geometric sequence.

First term, a = $24

Common ratio, r = 1.10

Number of terms, n = 7

So,

Sn = a1×(r^n -1)/(r -1)

S7 = 24×(1.10^7 -1)/(1.10 -1)

= (24×0.948717) / 0.10

= $227.69

The total amount Cory will have saved by the end of December is approximately $227.69

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Answer:

  (c)  $227.69

Step-by-step explanation:

The amounts Cory will be adding to his account comprise a geometric series with first term $24 and each successive term 10% more, or 1.10 times the previous term. The total amount Cory will have saved by the end of December is the sum of 7 terms of the series.

__

The sum of ...

  24 +1.10×24 +1.10²×24 +... +1.10⁶×24

is given by the formula ...

  Sn = a1×(r^n -1)/(r -1)

where a1 is the first term (24), and r is the common ratio (1.10).

For the series representing Cory's deposits, we have ...

  S7 = 24×(1.10^7 -1)/(1.10 -1) = 24×0.948717/0.10 ≈ 227.69

At the end of December, Cory will have about $227.69.

_____

Additional comment

A financial calculator or app can also tell you the value of an annuity with a 10% increase per period.

Answer:

The representative sample contained more girls than boys.

Step-by-step explanation:

Since there is roughly 1.5x more girls than boys, the sample size will likely contain more girls than boys when chosen at random.

Answer:

60

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

given

3[tex]\sqrt{2}[/tex] × 5[tex]\sqrt{8}[/tex]

= 3 × 5 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{8}[/tex]

= 15 × [tex]\sqrt{16}[/tex]

= 15 × 4

= 60

Answer:

1) 33.333...%

2) 33.333...%

Step-by-step explanation:

4 students out of 12 are wearing all color.

4 students out of 12 are wearing blue shoes.

Answer:

y=4x−8

Step-by-step explanation:

Answer:

Im not completely sure tho

Step-by-step explanation:

3.141529 I think so 3.14

Answer:

[tex]\large{\boxed{\sf 2x+h-4}}[/tex]

Explanation:

f(x) = x² - 4x + 3

f(x + h) = (x + h)² - 4(x + h) + 3

Solving Steps:

[tex]\rightarrow \sf \dfrac{(x + h)^2 - 4(x + h) + 3 - (x^2 - 4x + 3)}{h}[/tex]

[tex]\rightarrow \sf \dfrac{x^2 + 2xh + h^2 - 4x -4h+3-x^2+4x-3}{h}[/tex]

[tex]\sf \rightarrow \dfrac{2xh+h^2-4h}{h}[/tex]

[tex]\rightarrow \sf 2x+h-4[/tex]

Put values

[tex]\\ \rm\Rrightarrow \dfrac{x^2+2xh+h^2-4x-4h+3-x^2+4x-3}{h}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2xh+h^2-4h}{h}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{h(2x+h-4)}{h}[/tex]

[tex]\\ \rm\Rrightarrow 2x+h-4[/tex]

Answer: 6:1

Step-by-step explanation:

Answer:

a) high ropes course

b) white water rafting

Step-by-step explanation:

The following is an example of systematic random: D. Check only even page numbers.

Systematic sampling is a sampling method use my researcher in which the  researcher tend to choose or pick a group of people at periodical interval.

Based on the scenario give checking only even page numbers is an example of systematic random sampling.

Therefore the correct option is D.

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The coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)

The equation of the function is given as:

y = x^3 + x^2 – 6x + 5

Next, we plot the graph of the function (see attachment)

From the attached graph, we have the relative maximum to be at:

(x,y) = (-1.8,13.2)

Hence, the coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)

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Answer:

The answer is in Step.

Step-by-step explanation:

Domain: (- inf, + inf)

Range: (- inf, 3]
Increasing: (- inf , 0)

Decreasing: (0 , + inf)
Positive: (- 1 , 1 )
Negative: (- inf , -1) , (1 , + inf)

Maximum: (0,3) or just 3.

Minimum: None.
x-int: -1, 1
y-int: 3

Answer:76cm³

Step-by-step explanation:

5x4÷2=10cm²

10cm²x4=40cm²

6²=36cm²

40+36=76cm³

The equation represents the class's model of the population over time will be P = 50(2)^(n/12). Then the correct option is D.

Consider the function:

y = a (r)ⁿ

Where n is the number of times this growth occurs, a = initial amount, and r = increasing amount of growth.

A biology class at Central High School predicted that a local population of animals will double in size every 12 years.

The population at the beginning of 2014 was estimated to be 50 animals.

If P represents the population n years after 2014.

Then the equation represents the class's model of the population over time will be

[tex]\rm P = 50(2)^{n/12}[/tex]

Then the correct option is D.

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Answer: D is correct

Step-by-step explanation:

The set of input of the function are {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }

The set of output of the function is a multiple of 40 from 200 to 640

The input of the function can be found as follows:

The camp can only run if we have at least 5 students.

The limits of student is 16.

Therefore, the input are  {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }

The output are the dependent variables or the range. They are gotten when we input the values of the input in the function.

Therefore,

R(n) = 40n

R(5) = 40(5) = 200

R(16) = 40(16) = 640

The output are multiple of 40 from 200 to 640

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The Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.

A code of conduct is a set of laid down rules that sets the standard for behavior under specific circumstances.

Hence, the Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.

Missing parts;

The Code of Conduct is a ____________ for military members when isolated or held against their will by entities hostile to the U.S. moral guide recommended procedure mandatory directive direct order

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Answer:

0

Step-by-step explanation:

Since we're multiplying by 0, the entire product becomes 0.

Answer:

it's 0.

Step-by-step explanation:

3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6

= 0

there is a zero hidden . so it's zero.

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

Answer:

34

Step-by-step explanation:

Substitute values given into expression and simplify  :

5(2) + 6(4) =

10 + 24 =

34

Hope this helped and have a good day

Answer:

30

Step-by-step explanation:

Given:

Brian Height = 6 feet

Brian Shadow Height = 4 foot

Flag Shadow Height = 20 foot

Flag Height = Unknown ??

So we can use cross multiplication

6/4 = x/20

6×20/4 = x

6×20 =120

120÷4 = 30

So x= 30, which is the Flag Height

I wish that I helped you with this.

As per linear equation, the  height of the flag pole is 30 feet.

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Given, Brian is 6 feet tall and cast a 4 feet shadow.

Therefore, the ratio of Brain and it's shadow is

= 6/4

= 1.5

A flag pole cast a 20 foot shadow.

Therefore, the height of the flag pole is

= 20 × 1.5 feet

= 30 feet.

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