What are the zeros of the function f(x)=x2+12x+38

a)  -5+(-2) (4-8) =

(-7)(-4) = 28

b)  -10 + (-21) (-7) =

(-10) + 147 = 137

c)  6- (-3) (1-9)

9 (1-9) = -72

d)  8 - (-28) (3 - 10)

36 (-7) = -252

The answers will be a. 3, b. 137, c. -18, d. -188.

The student is asked to calculate the results of several basic arithmetic operations involving integers, following the order of operations (PEMDAS/BODMAS). Here's how each of the operations should be computed:

1. -5 + (-2) × (4 - 8)
-5 + (-2) × -4.

-5 + 8 = 3.

2. -10 + (-21) × (-7)

-10 + 147 = 137.

3. 6 - (-3) × (1 - 9)

6 - (-3) × -8

6 - 24 = -18.

4. 8 - (-28) × (3 - 10)

8 - (-28) × -7

8 + 196 = -188

Answer:

The first question answer is Fred. The second one is 1/7. Sorry that is all i know.

Step-by-step explanation:

Answer:

128.52

Step-by-step explanation:

Find the area of the figure by splitting it into two shapes - a trapezoid and a semi-circle.

The area of a semi-circle is found using A = 1/2πr² where r = 6 since the diameter is 12. A = 1/2π(6)² = 56.52.

The area of the trapezoid is found using A = 1/2(a+b)h = 1/2(12 + 6)(8) = 72.

Together the area is 56.52 + 72 = 128.52.

It's hard to explain, but theres a trick to it too.

Answer:

A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x

B. 2 terms; variables = x and y -----------> 4.5y - 2x

C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y

D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3

Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)

Final answer:

The descriptions provided for A and D do not perfectly match any of the available expressions, indicating a potential error in the provided materials. However, for descriptions B and C, expressions 1 and 2 are the respective matches.

Explanation:

To match each description of an algebraic expression with the symbolic form, we must look for the characteristics that fulfill the given conditions. These include the number of terms, the variables involved, and any constants.

A. 2 terms; variables = x and y: This description does not list a constant, so we are looking for an expression that has only x and y terms. None of the provided options fits perfectly as they all include a constant.

B. 3 terms; variables = x and y; constant = 3: The expression that fits this description is 1. x - 2y + 3.

C. 2 terms; variable = x; constant = 4.5: This description matches the expression 2. 4.5 - 2x.

D. 3 terms; variables = x and y; constant = 2: Once again, we're looking for an expression with three terms including the variables x and y and a constant of 2. However, none of the provided expressions fits this description since they all include a different constant.

Since the options provided do not fully satisfy the descriptions A and D, this can lead to an assumption that there may have been a mistake either in the given descriptions or in the provided expressions. We can answer to the extent that the options allow.

Correct matches from the provided options:

B is matched with 1

C is matched with 2

https://brainly.com/question/34192827

#SPJ11

Step-by-step explanation:

Okay! Since these are similar figures we need to find the scale factor in order to answer this question.

We have a triangle with sides 7, 4, and 9. The longest side is 9. This corresponds with the longest side on the similar triangle, which is 36. So to find the scale factor we divide 36 by 9. The scale factor is 4.

Now to find the shortest side of the bigger triangle, we have to find the length of the shortest side on the smaller one which is 4. Since our scale factor is 4, we multiply 4 by 4 to get 16.

The length of the shortest side of the similar triangle is 16

The shortest ide is 16

What you have to do: 150 + 150 = 300. 1000 - 300 = 700. So 700 either divide that by two or find the square root. It’s either way. Im not quite sure ask your teacher or say you are confused on whether to find the square root or subtract.

To find the unknown side length of a rectangle given the perimeter, subtract twice the known length from the perimeter, then divide the result by 2.

To find the unknown side length of a rectangle using the perimeter, you need to know that the perimeter (P) of a rectangle is calculated by the formula P = 2l + 2w, where l is the length and w is the width (or the unknown side length in this case). If you know the perimeter and one side length, you can rearrange the formula to solve for the unknown length. Here are the steps:

In mathematical form, it would be w = (P-2l)/2.

https://brainly.com/question/31891759

#SPJ2

To solve the inequality 2x - 4 ≤ 12, add 4 to both sides to get 2x ≤ 16, then divide both sides by 2, resulting in x ≤ 8. This means x can be any number less than or equal to 8.

To solve the inequality 2x − 4 ≤ 12, we first isolate the variable x by following algebraic steps. Here's a step-by-step approach:

The solution to the inequality tells us that x can be any number less than or equal to 8. This is true for any real number x that satisfies the condition outlined by the inequality.

Remember, when solving inequalities, it's crucial to maintain the balance of the equation by performing the same operations on both sides. Also, note that multiplying or dividing both sides of an inequality by a negative number requires flipping the direction of the inequality sign, which was not necessary in this case since we divided by a positive number (2).

Hi!!! So to do this problem, you need to find the mean values for each sample. I will walk you through finding the mean of sample 1: first you want to add all of the values for sample 1, which are 4,5,2,4 and 3. Once you add those values you get 18. Then you must divide that 18 by the number of terms you added. The numbers you added were 4,5,2,4 and 3 like I said earlier which is 5 numbers. You divide 18 by 5 to get your mean, which is 3.6

Answer: (B) Sample 2

sample 1 mean = 3.6

sample 2 mean = 4.2

sample 3 mean = 3.8

sample 4 mean = 4

Answer:

111 months old.

Step-by-step explanation:

you first divide 12 by four giving us 3.

then times 9 by 12. that gives us 108.

then add 108 + 3 to give us the final results.

Hope that helps!

(if you could rate/thank me that would be amazing!)

111 months old.

A year is 12 months.

9x12=108

Then add 3 to 108.

= 111

Answer:

[tex]4(2x^5+x^2-3)[/tex]

Step-by-step explanation:

The question is to factorize  [tex]8x^5+4x^2-12[/tex]

What is common from all 3 terms? It is the factor 4, so we take out 4 and write the remaining as "factorized form".

(Work shown below):

[tex]8x^5+4x^2-12\\=4(2x^5+x^2-3)[/tex]

First answer choice is right.

Answer:

4(2x^5+x^2−3)

Step-by-step explanation:

In other words the other guy above was correct. Picture below is the answer, also I do know that it's what you meant by this question.

Answer:

D) 2/3

Step-by-step explanation:

Let x represent the number of boys at the high school.

1/8x total tried out for football.

1/6 total tried out for baseball.

If we were to draw a Venn diagram, the intersection of the two circles would be the 1/12 of the students that tried out for both, or 1/12x.

Taking this away from the total of 1/8x for football,

1/8x - 1/12x

3/24x - 2/24x

1/24x tried out for just football.

Taking the 1/12x away from the 1/6x that tried out for just baseball,

1/6x - 1/12x

4/24x - 2/24x

2/24x = 1/12x tried out for just baseball.

Looking at those that tried out for football, 2/24 tried out for both and 3/24 total tried out for football.  This means 2 out of 3, or 2/3, of the football try outs also tried out for baseball.

2 / 3 are the required fraction of the boys who tried out for football and also tried out for baseball. OPtion D) is correct.

Given that,
1/8 of the boys at a high school tried out for the football team,
1/6 tried out for the baseball team, and 1 /12 tried out for the football team and baseball team.
What fraction of those who tried out for football also tried out for baseball is to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
The fraction of boys that tried out for football also tried out for baseball.
= (1 / 6 - 1 / 12) / 1 / 8
= 2 / 24 * 8 / 1
= 2 / 3

Thus, 2 / 3 are the required fraction of the boys who tried out for football and also tried out for baseball. Option D) is correct.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

Answer:

8:5

Step-by-step explanation:

32:20

8:5

Answer:

D

Step-by-step explanation:

It's one of each or not both tho:)

Answer:

Option C. is the correct answer.

Step-by-step explanation:

Since in the given Venn diagram "Blue circle" is contained in a "purple circle".

Blue circle represents Equilateral triangles and purple color circle represents isosceles triangle.

Since by this Venn diagram, equilateral triangles are contained in isosceles triangle then we can conclude that all equilateral triangles are isosceles triangle.

Therefore, option C. if shape is an equilateral triangle, then it is an isosceles triangle is true.

Answer:

C

140

Step-by-step explanation:

Answer:

C. 140

Step-by-step explanation:

133 + 147 = 280
280 / 2 = 140

Edge 2022. Trust

Answer:

Step-by-step explanation:

the answer would be 7.5

Answer:

15.59 inches²

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}[/tex] (base) × (height)

Base of the triangle = 6 inches = BC

so BD = CD = 3 inches

Now height h = AD = [tex]\sqrt{6^{2}- 3^{2} }[/tex] [ By Pythagoras theorem ]

h = [tex]\sqrt{36-9}[/tex]

= [tex]\sqrt{27}[/tex]

= [tex]\sqrt[3]{3}[/tex]

Now area of equilateral triangle ABC

= [tex]\frac{1}{2}[/tex]  (6) ( [tex]\sqrt[3]{3}[/tex])

= 3 ×  ([tex]\sqrt[3]{3}[/tex])

=  [tex]\sqrt[9]{3}[/tex] inches²

≈ 15.59 inches²

Answer:

KC=54

Step-by-step explanation:

You have the number for MU=78, HU=96

so that you can find HM=HU-MU=96-78=18

and then JH=22, JK=82 and we got HM=18

so that you can find MK=JK-JH-HM=82-22-18=42

And then MU=78,

so KU=MU-MK=78-42=36

And then CN=51, KN=105 and we just got KU=36,

so UC=KN-CN-KU=105-51-36=18

And you want to find out what's the length of KC,

KC=KU+UC=36+18=54

So your final answer is KC=54.

Answer:

The correct answer is KC = 54

Step-by-step explanation:

From the given figure we can see that,

total length JN =  82 + 105 = 187

To find the length KC

From figure we can write,

KC = Total length - (JK + CN) = JN - (JK + CN)

JN = 187

JK =82 and CN = 51

Therefore KC = 187 - (82 + 51) = 187 - 133 = 54

The correct answer is KC = 54

Answer:

y=|x-0.5|

Step-by-step explanation:

right/left is always within the absolute value itself.

to the right is always negative.

Answer:

|x|-0.5

Step-by-step explanation:

Answer:

(-3, 0)

Step-by-step explanation:

Let's solve this system using the elimination by addition/subtraction method.  Begin by writing the two equations one above the other:

5x +2y =-15

2x - 2y =-6

Notice that the y terms cancel each other out:

5x +2y =-15

2x - 2y =-6

------------------

7x        = -21

Dividing both sides by 7 results in x = -3.

Subbing -3 for x in either of the given equations leads to finding y:

5(-3) + 2y = -15, or -15 + 2y = -15.  This results in 2y = 0, or y = 0.

The solution is (-3, 0).

Using the elimination method, the solution to the system of equations is: (-7, -4)

Using the elimination method, the solution to the system of equations is found by adding or subtracting the equations to eliminate one variable, then substitute to find the other.

Given the system of equations:

5x + 2y = -15 --> Eqn. 1

2x - 2y = -6 --> Eqn. 2

Add

3x = -21

x = -21/3

x = -7

Substitute x = -7 into Eqn. 2.

2(-7) - 2y = -6

-14 - 2y = -6

-2y = -6 + 14

-2y = 8

y = -4

The solution is (-7, -4)

Learn more about system of equations on:

https://brainly.com/question/14323743

Answer:

Smallest x  -14

Larger x   0

Step-by-step explanation:

(x+7)^2 -49=0

Add 49 to each side

(x+7)^2 -49+49=0+49

(x+7)^2 = 49

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(49)

x+7 = ±7

Subtract 7 from each side

x+7-7 = -7±7

x = -7±7

x = -7 -7       x = -7+7

x = -14             x =0

Smallest x  -14

Larger x   0

Answer:

Smaller [tex]x=-14[/tex]

Larger [tex]x=0[/tex]

Step-by-step explanation:

[tex](x+7)^2-49=0[/tex]

[tex](x+7)^2=49[/tex] (add 49 to both sides)

[tex]\sqrt{(x+7)^2} =\sqrt{49}[/tex]

Knowing that [tex]7*7=49[/tex] and [tex]-7*-7=49[/tex]

[tex]x+7=7[/tex] or [tex]x+7=-7[/tex]

Solving for [tex]x+7=7[/tex] first...

[tex]x=0[/tex] (subtract 7 from both sides)

Solving for [tex]x+7=-7[/tex]

[tex]x=-14[/tex] (subtract 7 from both sides)

Answer:

Step-by-step explanation:

The have to divide $4.55 by 7

$4.55/7

$0.65/1

The price for one Apple is $0.65.

7 divided 4.65 = 0.65 answer is each apple cost 0.65 cents

Answer:

1) (9, 75+360n)

2) (−9, 255+360n)

Step-by-step explanation:

(9, 75) is same as (9, 75 + 360)

so it would be (9, 435)

It can also be expressed as (-9, 75 + 180 degrees)

so (-9,255) degrees

In general, (9,75+360 n) for n≥0 represents half of the possible ways of representing the point : (9,75)  

All the polar coordinates of point p = (9, 75°) are p(2.329, 8.693), p(-2.392, 8.693), p(-2.392, -8.693) and p(2.392, -8.693).

Coordinate is basically point on a surface which shows the position of point on the surface. It is like (x,y) in which x is the point on x axis and y is the point on y axis?

We know that x coordinate is r cosΘ and y=r sin Θ. and we have to first find the x coordinates and y coordinates.

The polar coordinates of point p:

1. p(9cos75, 9sin75) = p(2.329, 8.693)

2. p(9cos(180i - 75), 9sin(180 - 75)) = p(-2.392, 8.693)

3. p(9(cos(180 + 75), 9sin(180 + 75)) = p(-2.392, -8.693)

4. p(9cos(360 - 75), 9sin(360 - 75)) = p(2.392, -8.693)

Hence all the polar coordinates of point p = (9, 75°) are p(2.329, 8.693), p(-2.392, 8.693), p(-2.392, -8.693) and p(2.392, -8.693).

Learn more about coordinates at https://brainly.com/question/17206319

#SPJ2

Something plus 7 is smaller than -3

So, let's go for a number that's lower than -3.

Let's try, -17

-17 + 7 = -10

-10 < -3

-10 is smaller than -3

5.97 * 10^24 - 4.87 * 10^24 = 1.1 * 10^24

Answer:

f(-4) = 10.636

Step-by-step explanation:

In this problem we need to substitute and add together the remaining terms

f(x)=6−2+2e−0.3x

If we simplify

f(x) = (6−2) +2e−0.3x

f(x) = (4) +2e − 0.3x

We substitute the value for e (Euler's number)

e = 2.718

f(x) = (4) +2(2.718) − 0.3x

f(x) = (4) + 5.436 − 0.3x

f(x) = 9.436 -0.3*x

We just need to substitute for x = -4  ,  to get f(-4)

f(-4) = 9.436 -0.3*(-4)

f(-4) = 9.436 + 1.2

f(-4) = 10.636

Answer: 1.3

Step-by-step explanation:

Answer:

The area of the circle depends of the square of the radius

The area of the circle D is [tex]324 \pi\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

In this problem we have

[tex]r=CD=18\ cm[/tex]

substitute

[tex]A=\pi (18)^{2}=324 \pi\ cm^{2}[/tex]

therefore

the statements that are true are

The area of the circle depends of the square of the radius

The area of the circle D is [tex]324 \pi\ cm^{2}[/tex]

Answer: your answer is 40%

Fraction Percent

1/5 20%

2/5 40%

3/5 60%

4/5 80%