For linear function f, f(2)=0 and f(4)=-6.
Write function f in slope-intercept form.
Hint
Examples:
f(5)=0 means (5,0) is a point on the line.
f(3)=-2 means (3,-2) is a point on the line.
How do you find the slope of the line when you have 2 points?

The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.

The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.

A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.

You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.

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Answer:

thirty-five and seven tenths

Answer:

(3 x 10)+(5 x 1)+(7 x 0.1)

or

30+5+.7

Step-by-step explanation:

Answer:

2 + X = Y

Step-by-step explanation:

sorry if wrong its been a while

Answer:

\( \sf \: 4 \frac{4}{8} \)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: 2 \frac{3}{8} + 2 \frac{1}{8} \)

Let's solve the problem,

\( \sf \rightarrow \: 2 \frac{3}{8} + 2\frac{1}{8} \)

\( \sf \rightarrow \: \frac{19}{8} + \frac{17}{8} \)

\( \sf \rightarrow \: \frac{(19 + 17)}{8} \)

\( \sf \rightarrow \: \frac{36}{8} \)

\( \sf \rightarrow \: 4 \frac{4}{8} \)

Hence, the answer is 4 4/8.

Answer:

80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Try searching the "Area of parallelogram" it will help you.

Answer:

total students = 40probability of selecting a student from art club= 12/40= 3/10

Step-by-step explanation: because am big math

Answer:

20%

Step-by-step explanation:

40÷8=5

100÷5=20

Answer:

$0.58

Step-by-step explanation:

There are 8 pencils per package. To find the value of each pencil, divide the cost by 8

4.64/8 = $0.58

Answer:

$0.58

Step-by-step explanation:

unit means one, or the rate or price of each pencil. so if the total was 4.64, youd divide 4.64 by 8, which comes out to $0.58 per pencil

Given:

Answer:

40

Step-by-step explanation:

Its pretty easy i did that on a test and got a 100

Answer:

Step-by-step explanation:

Its 4.51

Answer: C

Step-by-step explanation:

(a) Not independent, as the occurrence of X being even affects the probability of X being divisible by 5 and vice versa.

(b) Not independent, as the occurrence of X having two digits affects the probability of X being divisible by 3 and vice versa.

(c) Independent, as the occurrence of X being a prime does not affect the probability of X having a digit 5, and vice versa.

Two occurrences are often considered independent if their occurrence has no impact on the likelihood of their occurrence. The occurrences in (a) and (b) are not independent since one event's occurrence affects how likely the other is. Because the chance of one event in (c) is unaffected by the likelihood of the other, the occurrences are independent in (c).

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Answer: m=35, n=110

Step-by-step explanation:

Consecutive sides have sum 180°

And

Answer: Choice A

y + 1 = -3(x+2)

=============================

Explanation:

Let's look through the answer choices.

Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.

With choice A, the slope is negative and choice B has a positive slope.

The answer must be choice A because the line is going downhill as we move from left to right.

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A common method is to pick two points on the line and compute the slope using the slope formula

m = (y2-y1)/(x2-x1)

Once you know the slope, you would use point slope form

y - y1 = m(x - x1)

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Answer:

7 is greater than or equal to x.

Answer:

Hey I’m not sure but I think it’s A

Step-by-step explanation:

Answer:

Step-by-step explanation:

m<2 = 5.

because if you subtract 5x from 4x and that equals -1x. then you add 20 to -25 that equals -5. then you divided -5 by the -1x and you get 5.

Answer:

X》55

Step-by-step explanation:

hope it helps u

have a great day!!

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

Step-by-step explanation:

Answer:

139.93

Step-by-step explanation:

i used a online calculator

https://www.omnicalculator.com/physics/maximum-height-projectile-motion

The maximum height attained by the arrow will be 1,700 feet.

What is mean by Quadratic equation?

A polynomial which has a power two then its called a Quadratic equation.

Given that;

An arrow is launched upward with a velocity of 320 feet per second from the top of a 100-foot structure.

Let the equation for the height of the arrow at time t is;

h (t) = - 16t² + 320t + 100.

Here, The arrow is follow the path of a parabola that curves downwards.

The value of t for the vertex = - b / 2a

                                            = - 320/2×-16

                                            = 10

Substitute t = 10 in above equation, we get;

h (t) = - 16t² + 320t + 100.

h (t) = - 16 × 10² + 320 × 10 + 100

h (t) = -16 × 100 + 3200 + 100

h (t) = - 1600 + 3200 + 100

h (t) = 1,700

Therefore, The maximum height attained by the arrow will be 1,700 feet.

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Ans : 36

By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

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We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent.  This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First line

First column: AB is congruent to CB      Second column: Given

Second line

First column: angle ABD is congruent to angle CBD      Second column: Given

At this point we have the  SIDE-ANGLE portion of SAS.  We just need the other side.  We can see from the given angles that they both share a side...BD.

Third Line

First column: BD is congruent to BD     Second column: Reflexive property

All that is left is to state SAS.

Fourth Line

First Column:  Triangle ABD is congruent to triangle CBD     Second column: SAS (from lines 1,2,3)

Answer:

C: 2500

Step-by-step explanation:

1) Simplify the question down as much as you can

In the question we can simplify the \(10^{3}\) to 1000

We can also change the · into a ×

This means our final simplified question would be 2.5 × 1000

2) Solve

An easy way of doing 2.5 × 1000 is to move the decimal point however many zeros there are...

E.g. To move the decimal point 3 times we would go three points to the right which would be 2500

HINT:

Another way of doing it would be to use long multiplication!

Hope this helps, have a great day!

The rate at which the spherical balloon is increasing is calculated as approximately 0.049 cm/s.

Let's use the formula for the surface area of a sphere:

S = 4πr²

where S is the surface area and r is the radius.

Differentiating both sides of the equation with respect to time t, we get:

dS/dt = 8πr dr/dt

where dS/dt is the rate of change of surface area, and dr/dt is the rate of change of the radius with respect to time.

We are given that dS/dt = 5 cm^2/s when r = 4 cm. Substituting these values into the equation above, we get:

5 = 8π(4) dr/dt

Simplifying, we get:

dr/dt = 5/(32π) cm/s ≈ 0.049 cm/s

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Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)