What are the zeros of f(x) = x2 + x - 12?
O A. x= -4 and x = 3
O B. x=-6 and x = 2
O c. x=-2 and x = 6
D. x = -3 and x = 4

Answer:

The answer is c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

See the graph for an example using the specific angles [tex]\theta=60^\circ , \,\, \180^\circ-\theta=120^\circ[/tex]

See how the red segments are equal  in length but going in opposite directions?

[tex]\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}[/tex]

a. This can't be correct: it says [tex]\tan{\theta}[/tex] is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.

b. Not true in Quad. I. Consider [tex]\tan{60^\circ}, \,\, \tan{30^\circ}[/tex].

2 m  -  polyester fabric: 4, cotton fabric: 14

6 m  -  polyester fabric: 12, cotton fabric: 42

8 m  -  polyester fabric: 16, cotton fabric: 56

9 m  -  polyester fabric: 18, cotton fabric: 63

check:

2 m: 4/14=2/7

6 m: 12/42=2/7

8 m: 16/56=2/7

9 m: 18/63 = 2/7

Answer:

C= 2M + 10

Step-by-step explanation:

In this equation, we will calculate the total cost. So, we'll start off with "C =" Then, we know tat the charge is $2 per mile so we'll add it and make C = 2M. Then, it states that the flat fee is 10 dollars which makes the equation

C = 2M +10.

Answer:

C = 2M + 10

Step-by-step explanation:

To write this equation, we will use slope-intercept form: y = mx+b

In this problem, C is y and M is x, so: C = mM + b

m is the slope, or the rate of change, and b is the y-intercept.

The y-intercept in this problem is the $10 flat fee.

The rate of change is the additional $2 per mile.

Let's input these values into our equation:

C = 2M + 10

-12 = 6 + 2/3y

Subtract 6 from both sides

-18 = 2/3y

Multiply both sides by 3

-54 = 2y

Divide both sides by 2

-27 = y

Answer:

i will tell the answer call 6823082898

Step-by-step explanation:

Final answer:

Option C is correct as it uses the present participle 'hearing' in a participial phrase, which acts as an adjective.

Explanation:

The present participle form of a verb can be identified by its -ing ending and is often used as part of the present progressive tense or as a participial phrase acting as an adjective. Looking at the provided options, sentence A) Reading every day is a great habit to get into uses the present participle reading as a gerund, acting as the subject of the sentence. Sentence C) The manager is interested in hearing your comments uses the present participle hearing in a participial phrase, functioning as an adjective to describe the comments. Therefore, the correct answer is C as it contains a present participle functioning as part of a participial phrase.

Answer:

D.  The solution to s(x) = t(x) is x = 2009.

Step-by-step explanation:

I took the test and got it right!

Have a great day fam :)

(D) The solution to [tex]s(x)=t(x)[/tex] is [tex]x=2009[/tex].

Enrollment can mean:

Enrollment values of [tex]2009[/tex] are [tex]756[/tex] and [tex]756[/tex].

Since [tex]756=756[/tex].

Therefore, the correct option is (D) the solution to [tex]s(x)=t(x)[/tex] is [tex]x=2009[/tex].

Know more about Enrollment here:

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2 more than triple the number can be expressed as 3x + 2. We want this expression to equal 10, so we can set up the equation as 3x + 2 = 10.

To solve the equation, '2 more than triple a number is 10', we can first translate the sentence into an equation.

Let's assume the number is represented by x.

Triple the number would be 3x. And 2 more than triple the number can be expressed as 3x + 2.

We want this expression to equal 10, so we can set up the equation as follows:

3x + 2 = 10

Now, we can solve for x by isolating it on one side of the equation.

Subtracting 2 from both sides, we get:

3x = 8

Finally, divide both sides by 3 to solve for x:

x = 8/3

The probable question may be:

Formulate a complete mathematical question based on the statement: "2 more than triple a number is 10."

Answer:

? = 24, AB = 8.66 (square root of 75, 5 times the square root of 3)

Step-by-step explanation:

Since the whole length equals 27, we can subtract 3 to get 24. The proportion is a setup for geometric mean. This means cross-multiplying. X x X = X^2, 3 x 24 = 72. Square root both sides to get X by itself. [tex]3\sqrt{8} \\[/tex]. Use Pythagoreans to solve the rest. You are left with the square root of 75, or 5 times the square root of 3.

Answer:

it is C

Step-by-step explanation:

A degree

Answer:

degree

Step-by-step explanation:

degree

1) The expression that represents the total cost of the bouncy house for c children is:Total Cost} = 150 + 2c 2) The total cost for the bouncy house for 15 children is $180.

(1) The expression that represents the total cost of the bouncy house for c children is given by: Total Cost} = 150 + 2c

(2) Given that a total of 15 children attended Sue’s party, including Sue, substitute c with 15 in the expression:

Total Cost} = 150 + 2 * 15

Total Cost} = 150 + 30

Total Cost} = 180

Therefore, the total cost for the bouncy house for 15 children is $180.

Answer:

(x - 1) and (x + 4)

Step-by-step explanation:

Given the zeros of a polynomial, say x = a, x = b then the factors are

(x - a), (x - b) and the polynomial is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = 1 and x = - 4, thus the factors are

(x - 1) and (x - (- 4)), that is (x - 1) and (x + 4)

Answer:

√62 is between integers 7 and 8

Step-by-step explanation:

writing out the integers as square roots,

√1, √4. √9, √16, √25, √36, √49, √64

62 is between 49 and 64, so we know √62 is between √49 and √64

√49 = 7

√64 = 8

√62 is between integers 7 and 8

Answer:

answer A

Step-by-step explanation:

The question is about conditional probability. Assuming that the 2% who clicked the link are among the 7% who opened the email, around 29% of the people who opened the email clicked a link. Hence, option A is the correct answer.

This question deals with the concept of conditional probability in mathematics, specifically percentages. Assuming that the 2% who clicked the link are among the 7% who opened the email, we want to find out what percent of the 7% clicked the link.

We calculate it like this:

So, around 29% (rounding up) of the people who opened the email clicked a link, which makes option A the correct answer.

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Answer:

a=68 degrees

Step-by-step explanation:

using the inscribed angle theorem, you know that arc a=2*34=68 degrees.

The measure of the value of a is 64 degrees

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the value of a

The measure of arc opposite to the central angle is twice

1/2a=34 degrees

Apply cross multiplication

a=2×34

=64 degrees

Hence, the measure of the value of a is 64 degrees

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Answer:

Approximately $1.34 for each notebook.

Step-by-step explanation:

6-1.99=4.01

4.01/3=1.3366...

Answer: $1.34 per notebook

The gardener's expression correctly calculates the area of the entire garden after extension, not just the extension itself. The error was in misinterpreting the question and focusing solely on the extension, leading to the incorrect answer of 13 square feet.

Expanding the expression: 6(x + 7) = 6x + 42. This represents the total area of the garden after extending its length by 7 feet.

Error analysis: The gardener likely assumed they needed to calculate the area added by the extension. This could be due to:

Misunderstanding the question and focusing on the 7-foot extension instead of the total area change.

Mistakenly interpreting "area of the extension" as the area of the rectangle formed only by the additional 7-foot length and the original width.

Therefore, while the expression itself is correct, the gardener misinterpreted the question and made an error in interpreting what "area of the extension" referred to.

Answer:

Find the answer that is provided to you. On the bottom of the comment, there is an option in gold text that allows you to pick brainliest. You can try it on this comment.

Answer:

After you thank them or rate them (I'm honestly not sure which, but why not do both if you're going to do one anyways), a yellow button will appear (I think next to the 5 stars) that says 'mark as Brainliest'. If you click that button, the answerer will get a notification saying that you marked them as Brainliest.

P.S.: Only the person who asked the question can mark an answer as Brainliest, and only one person can be marked as Brainliest.

a) [tex]X<67.1[/tex]

b) 0.1539

c) 0.1539

d) 0.6922

Step-by-step explanation:

a)

In this problem, the score on the exam is normally distributed with the following parameters:

[tex]\mu=78.1[/tex] (mean)

[tex]\sigma = 10.8[/tex] (standard deviation)

We call X the name of the variable (the score obtained in the exam).

Therefore, the event "a student obtains a score less than 67.1) means that the variable X has a value less than 67.1. Mathematically, this means that we are asking for:

[tex]X<67.1[/tex]

And the probability for this to occur can be written as:

[tex]p(X<67.1)[/tex]

b)

To find the probability of X to be less than 67.1, we have to calculate the area under the standardized normal distribution (so, with mean 0 and standard deviation 1) between [tex]z=-\infty[/tex] and [tex]z=Z[/tex], where Z is the z-score corresponding to X = 67.1 on the s tandardized normal distribution.

The z-score corresponding to 67.1 is:

[tex]Z=\frac{67.1-\mu}{\sigma}=\frac{67.1-78.1}{10.8}=-1.02[/tex]

Therefore, the probability that X < 67.1 is equal to the probability that z < -1.02 on the standardized normal distribution:

[tex]p(X<67.1)=p(z<-1.02)[/tex]

And by looking at the z-score tables, we find that this probability is:

[tex]p(z<-1.02)=0.1539[/tex]

And so,

[tex]p(X<67.1)=0.1539[/tex]

c)

Here we want to find the probability that a randomly chosen score is greater than 89.1, so

[tex]p(X>89.1)[/tex]

First of all, we have to calculate the z-score corresponding to this value of X, which is:

[tex]Z=\frac{89.1-\mu}{\sigma}=\frac{89.1-78.1}{10.8}=1.02[/tex]

Then we notice that the z-score tables give only the area on the left of the values on the left of the mean (0), so we have to use the following symmetry property:

[tex]p(z>1.02) =p(z<-1.02)[/tex]

Because the normal distribution is symmetric.

But from part b) we know that

[tex]p(z<-1.02)=0.1539[/tex]

Therefore:

[tex]p(X>89.1)=p(z>1.02)=0.1539[/tex]

d)

Here we want to find the probability that the randomly chosen score is between 67.1 and 89.1, which can be written as

[tex]p(67.1<X<89.1)[/tex]

Or also as

[tex]p(67.1<X<89.1)=1-p(X<67.1)-p(X>89.1)[/tex]

Since the overall probability under the whole distribution must be 1.

From part b) and c) we know that:

[tex]p(X<67.1)=0.1539[/tex]

[tex]p(X>89.1)=0.1539[/tex]

Therefore, here we find immediately than:

[tex]p(67.1<X<89.1)=1-0.1539-0.1539=0.6922[/tex]

Answer:

460 ft

Step-by-step explanation:

Answer:

B.) 162 miles

Step-by-step explanation:

It really helps to draw a model when you are working with these. After having drawn a model, you can see that a right triangle was made, with the distance from Sameer's house to his cousin's being the hypotenuse. So, you can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

Solve for c. Fill in values:

[tex]135^2+90^2=c^2[/tex]

Evaluate exponents:

[tex]18,225+8,100=c^2[/tex]

Simplify addition:

[tex]26,355=c^2[/tex]

Find the square of both sides:

[tex]\sqrt{26,355} =\sqrt{c^2}\\\\162.34=c[/tex]

Flip

[tex]c=162.34[/tex]

Round to the nearest mile

[tex]c=162[/tex]

Done.

Answer:

A) Add a positive unit tile to a negative unit tile.

Step-by-step explanation:

Add a positive unit tile to a negative unit tile.

1 + (-1)

1 - 1

0

Answer:

r=0.2

Step-by-step explanation:

Given the quantities x and y

[tex]\left|\begin{array}{c|c}x&y\\---&---\\8&1.6\\15&3\\2&4.4\end{array}\right|[/tex]

When x=8, y=1.6

On Substitution into y=rx

1.6=8r

r=1.6/8=0.2

When x=15, y=3

On Substitution into y=rx

3=15r

r=3/15=0.2

When x=2, y=0.4

On Substitution into y=rx

0.4=2r

r=0.4/2=0.2

Therefore, the constant of proportionality, r=0.2

NOTE: One set of values is enough to determine this. Others are done for verification.

Answer:

R = 1/2

Step-by-step explanation:

Final answer:

The Great Wall of China was approximately 3,000 miles long.

Explanation:

The Great Wall of China was 10,000 li long. In this case, li is a unit of measure. We are told that 2 li is approximately equal to 0.6 miles. To find how many miles the Great Wall is, we can set up a proportion:

2 li = 0.6 miles
10,000 li = x miles

To solve for x, we can cross multiply and divide:

10,000 li * 0.6 miles = 2 li * x miles
6,000 miles = 2x
x = 6,000 / 2
x = 3,000 miles

Therefore, Shih Huangdi's Great Wall of China was approximately 3,000 miles long.

Look at the attached picture ⤴

Hope it will help u...

Answer:

An event that is affected by previous events.

Step-by-step explanation:

I'm not sure but I think that's it.

Answer:

Dependent events depends on earlier events to decide if it is used or not.

An example of a dependent event can be the choice of ice cream. Before the person is asked what ice cream they want, they may have been asked what dessert they want. The event of "asking for a choice of ice cream", is dependent on the person stating that they wanted ice cream in the beginning. If they said anything else, they would not get to that question.

~

The volume of the part of silo filled with corn is 3391.2 cubic foot.

Step-by-step explanation:

Diameter of the silo = 12ft.

Radius = 6 ft.

Height = 60ft.

Volume = π(r x r) h

= (3.14) (36) 60

= 6782.4 cubic foot

The corn is 50% filled. So,

Volume of corn filled = (50/100) (6782.4)

= 3391.2 cubic foot

The volume of the part of silo filled with corn is 3391.2 cubic foot.

Answer:

a=5.81

Step-by-step explanation:

We want to solve for the value of a in the expression:

[TeX]\frac{sin 45}{a}=\frac{sin 77}{8}[/TeX]

Cross Multiply

8 X sin 45=a X sin 77

Divide both sides by sin 77° to obtain a.

[TeX]a=\frac{8 X sin 45}{sin 77}[/TeX]

a=5.81