All categories

3 years ago

NEED HELP

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

Range: [-7, 8]

General Formulas and Concepts:

<u>Algebra I</u>

Reading a coordinate plane
Range is the set of y-values that are outputted by function f(x)
Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

You might be interested in

Translate to an algebraic expression. 26 more than q

Umnica [9.8K]

A= 26 > q

if it says 26 grader than it means the mouth opens to that 26
if it says 26 less then it means the mouth is facing to the q
but it is not so it is the mouth facing the 26

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

2] The band has a ratio of boys to girls of 5 to 4. There are 52 girls in the band.

Serggg [28]

Answer:

Step-by-step explanation:

For every 4 boys there are 5 girls and 9 students at the school. So that means that 49 of the students are boys. 49 of the total number of students is 120 students:

49×?=120

If 49 the number of students is 120, then 14 of 120 is 19 of the total number of students. In other words, 14×120=30 is 19 the total number of students. Then 9 times this amount will give the total number of students:

9×30=270

So there is a total of 270 students at the school. Note that this is equivalent to finding the answer to the division problem:

120÷49=?

We can see all of this very succinctly by using a tape diagram:

Bar_diagram_67722d3e6005449e4fbe5c57eaad4f3c

There are 4 units of boys and 9 units of students. Therefore 4/9 of the students are boys.

4 units = 120

1 unit = 30

9 units = 270

There are 270 students altogether.

Students can multiply the numbers in the first row by 10 to get the second row, and then double that amount to get the third row. Adding the entries in the second and third row gives the fourth row that has the solution.

Alternatively, since 120÷4=30, students can just multiply the numbers in the first row by 30 to get the values in the fourth row.

In every row, we can see that the fraction of the students that are boys is 49.

looking at the last row, we can see that the total number of students will be 4×30+5×30=120+150=270.

5 0

3 years ago

What is the y value when x equals -13 y=-160-9(x)

blsea [12.9K]

Ok so...
y=-160-9(-13)
y=-160-117
y=43
hope i helped

7 0

3 years ago

Read 2 more answers

The cost of a gallon of milk used to be $2.25. The price has increased to 115 percent of what it was. What is the approximate ne

Ugo [173]

Answer: It would be the fourth option, $4.84

Step-by-step explanation: To find the new price, multiply 115% to 2.25. 115% is the same as 1.15 and multiply that to $2.25. You would get 2.5875. Now that's the percent in increase so add this to the original price of the gallon of milk which was 2.25. You should get 4.8375, which would round to $4.84.

8 0

3 years ago

Read 2 more answers