F (x) = 1/4 (x+3) + 2

Answer:

The x-intercepts of the function are [tex]x = 3[/tex] and [tex]x = -5[/tex].

Step-by-step explanation:

We are given the function [tex]\displaystyle f(x) = x^2 + 2x - 15[/tex].

In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.

The parent function for a quadratic is [tex]f(x) = ax^2 + bx + c = 0[/tex].

We can use this information to determine what factoring technique we want to use.

There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.

We see that our a is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:

Therefore, let's determine what our c is: 15.

Now, let's label the factors for 15.

Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).

Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:

Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.

Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.

[tex]x + 5 = 0\\\\x = -5[/tex]

[tex]x - 3 = 0\\\\x = 3[/tex]

Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.

Our answers are x = -5 and x = 3.

Answer:

Edgar scored 24 goals in soccer this season.

Step-by-step explanation:

Proportions

We can calculate the number of goals scored by Edgar this season if we follow the relationships given in the problem.

First, we know jake scored 2 goals. Also, we know Jaime scored 4 times as many goals as Jake.

This means Jaime scored 2*4 = 8 goals.

Finally, we know Edgar scored 3 times as many goals as Jaime.

Then, Edgar scored 8*3 = 24 goals.

Edgar scored 24 goals in soccer this season.

Answer:

2+2=?

Step-by-step explanation:

well 2+2=4

bc idek but i got a pair of fuzzy socks and i love them

Answer:

8

Step-by-step explanation:

mystery number= x

he divdes x by 2 and then subtracts 9 and gets -5. reverse the order to find x.

-5+9 which is 4 times 2 which is 8. x is 8

Answer:

Step-by-step explanation:

Given line with points (-6, -3) and (6, -7)

Slope intercept form:

We can see on the graph that y-intercept is b = -5

The slope is found using slope formula:

Th equation is:

Answer: 72.4

Step-by-step explanation:

Fraction of six-grade students that have at least one pet = 2/5

Number of sixth graders at Brunswick Elementary school = 181

The number of sixth graders that own own pets will be:

= 2/5 × 181

= 72.4

Responder:

Los 8.57m

Explicación paso a paso:

La configuración será un triángulo rectángulo donde la distancia de la rampa a la entrada es el lado de la base (adyacente)

Dado

La altura de la rampa (opuesta) = 0,75 m

Ange de elevación = 5 °

Según TOA;

Tan theta = opp / adj

Tantheta = 0,75 / adj

Bronceado 5 ° = 0,75 / adj

adj = 0,75 / tan5 °

adj = 0,75 / 0,08749

adj = 8.57m

Por lo tanto, la rampa estará a 8.57m de la entrada.

The answer would be 0.4 in decimal form

Answer:

6/55

Step-by-step explanation:

In these type of problems you mus keep, change, flip

[tex]\frac{3}{5} * \frac{2}{11}[/tex]

Now, multiply across

[tex]3*2[/tex]   /   [tex]5*11[/tex]   =  [tex]\frac{6}{55}[/tex]

Hope this helps :)

Answer:

X=24 Y=32 Z=96

Step-by-step explanation:

Answer:

the 1st=24

the 2nd=32

the 3rd=96

Answer:

D

Step-by-step explanation:

8x7x5= 280

Answer: John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the object's potential energy.

Step-by-step explanation:

Calculate the potential energy for a 2 kg basketball dropping from a height of 3.5 meters with a velocity of 9.8 m/sec².

Answer:

Total distance cover = 12t miles

Step-by-step explanation:

Given:

Priya's speed = 12 miles per hour

Total time taken = t hours

Find:

Total distance cover

Computation:

Distance = speed x time

Total distance cover = 12 x t

Total distance cover = 12t miles

Answer:

12

Step-by-step explanation:

the number is 96

hence,

25% of 96=

25/100*96/1

=24

50% of 24=

50/100*24/1=

12

it also possible that you're to sum them,but since you were not asked for the sum of the number the answer is 12.

Answer:

768

Step-by-step explanation:

1. Try converting percentage into fractions and simplify them:

50%*25*n=96

of=multiplication

1/4*1/2*n=96

2. Multiply the fractions:

1/4*1/2=1/8

1/8*n=96

Other people say "Can you finish it?", but if you don't know, I'll finish it.

96*8=768

Therefore, the answer is 768.

Answer:

distributive property

Step-by-step explanation:

hope i helped.

Answer:

75$

Step-by-step explanation:

Answer:

59,0

Step-by-step explanation:

Trust me also on edge

The Magnitude of forces is 59 pounds and Direction angles of forces is  0

The magnitude of force refers to the sum of all the forces that are acting on an object. If all the forces are acting in the same direction, then the magnitude of the force increases. If the forces are acting on an object in different directions, then the magnitude of the force decreases.

To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

According to the question

Two forces of 17 and 42 pounds both acting in the horizontal direction on a single object.

i.e,

F1 = 17 pounds

F2 = 42 pounds

Now,

As, magnitude of force refers to the sum of all the forces

Direction is also same

Magnitude : 17 + 42 = 59 pounds

Now,

The Direction angles : 0

As they are having same direction so angle will be 0 .

Hence, The Magnitude of forces is 59 pounds and Direction angles of forces is  0

To know more about  Magnitude of forces and Direction angles of forces here:

https://brainly.com/question/14584426

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Answer:

12 feet

Step-by-step explanation:

Since you place the ladder on TOP of the building, the bottom of the ladder would be at the top of the building, and the building is 12 feet high

Answer: y= -4x-2

Step-by-step explanation:

glad i could help!

Answer:

i think it’s “ the x values between 1 & 3 are each paired with multiple y values “

Step-by-step explanation:

The given relation is not a function because input value 1 and 3 have more than one value

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

As, we know if the relation is function then it's input value is distinct.

From the graph we can se that the input value 1 and 3 have more than one value

As, input 1 ----> {1.1, -1.1}

and, input 3 ----> {0, -2.5}

Hence, the given relation is not a function.

Learn more about function here:

https://brainly.com/question/21145944

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Answer:

-143

Step-by-step explanation:

(I THINK)

Answer: The argument is valid by the law of detachment

Step-by-step explanation:

The law of detachment simply states that when the hypothesis is true, then the conclusion must also be true.

In this case, the argument is valid since the conclusion that "Quadrilateral JKLM is a square" follows from the argument that "a quadrilateral is a square, then the quadrilateral has four right angles".

The law of detachment is expressed here.

Answer:

This argument is not valid because the conclusion does not follow from the premises.

Step-by-step explanation:

test complete and It is not the Argument is valid by the law of detachment.

Answer:

[tex]t(n) = -5^{n-1}*6[/tex]

Step-by-step explanation:

[tex]t(n) = -5^{n-1}*6[/tex]

Answer: 36 units

Step-by-step explanation:

Just answered it

Answer:

120 + 20π

Step-by-step explanation:

Find the image of the question attached.

For the square;

Perimeter of a square = 4L

L is the side length of the square

From the diagram, L = 10

Perimeter of a square = 4(10) = 40

Perimeter of 3 squares = 3(40) = 120

For the semicircles:

Perimeter of a semicircle = 2πr/2 = πr

From the diagram;

L = radius of the semicircle = 10

Perimeter of a semicircle = π(10)

Perimeter of a semicircle = 10π

Perimeter of the two semicircles = 2(10π) = 20π

perimeter of the shape = perimeter of 3squares + 2 semicircles

perimeter of the shape = 120 + 20π

Answer:

25.37

Step-by-step explanation:

Write a function:

f(t)=840e^{rt}

f(t)=840e

rt

Continuously uses Pe^(rt)

-0.05

r: decays 5%→−0.05

per day

f(t)=840e^{-0.05t}

f(t)=840e

−0.05t

(where t is in days)

10 weeks→10⋅7→70 days

There are 7 days in a week

Plug in t=70

f(70)=840e^{-0.05(70)}

f(70)=840e

−0.05(70)

25.3658020747

≈25.37