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3 years ago

The functions f(x) and g(x) are shown.

Mathematics

1 answer:

erastova [34]3 years ago

7 0

The function f(x) takes on the value 2 when x = -7 and x = -3, and thus the corresponding points are (-7,2) and (-3,2).

The points where g(x) = 0 are called "roots" or "solutions," and is (3,0).

f(x) > g(x) on the approx. interval (-9, -3/4).

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Find the equation 3(x +5)+(3x +5)<br><br>

Katarina [22]

Answer:

=6x+20

Step-by-step explanation:

3(x+5)+(3x+5)

Solution:

=3x+15+3x+5

=6x+20

5 0

3 years ago

Direction: Solve the given problems.

MAXImum [283]

<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

$=\tt 2 : 3 \: = \: x : 6$

$= \tt \frac{2}{3} = \frac{x}{6}$

$=\tt 2 \times 6 = 3 \times x$

$=\tt 12 = 3x$

$=\tt x = \frac{12}{3}$

$\hookrightarrow\color{plum}\tt \: x = 4$

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = $\tt \frac{36}{6}$

Let the number be x.

Which means :

$= \tt \frac{36}{6} = \frac{x}{3}$

$=\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3}$

$=\tt \frac{36}{6} = \frac{18}{3}$

▪︎Therefore, the fractional number $\tt \frac{18}{3}$ is equal to $\tt \frac{36}{6}$ .

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

$=\tt \frac{24}{6} = \frac{x}{8}$

$=\tt 24 \times 8 = 6 \times x$

$=\tt 192 = 6x$

$=\tt x = \frac{192}{6}$

$\hookrightarrow \color{plum}\tt x = 32$

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

$= \tt \frac{7}{2} = \frac{21}{x}$

$=\tt7 \times x = 2 \times 21$

$=\tt 7x = 42$

$=\tt x = \frac{42}{7}$

$\hookrightarrow \color{plum}\tt \: x = 6$

▪︎Therefore, 6 adults were there in the plaza.

<h2>○=> <u>Solution (10)</u> :</h2>

Cost of 12 pencils = P60

Cost of 1 pencil :

$= \tt \frac{60}{12}$

$=\tt P5$

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

$=\tt 5 \times 25$

$\color{plum}=\tt \: P \: 125$

▪︎Therefore, the cost of 25 pencils = P125

7 0

3 years ago

Jay spent ten more than three times the number of hours on his science fair project than jamie spent on her project jay spent 43

Aliun [14]

Why did both of their names have to start with the same letter

x=jay hours
y=jamie huours

x=10+3y
x=43

so
43=10+3y
minus 10
33=3y
divide 3
11=y

jamies spent 11 hours

8 0

3 years ago

Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the

Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒ $125^{2} = 50^{2} + (x)^{2}$

⇒ $15625 = 2500+ (x)^{2}$

⇒ $15625 = 2500+ x^{2}$

Subtracting both side by 2500

⇒ $13025 = x^{2}$

Square rooting both side, we know√a²=a

⇒ $\sqrt{13025} =x$

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= $x-10\ m$

⇒ Height of kite flying above tree= $114.127-10= 104.127\ m$

Hence, the height of kite above the tree is 104.127 meters.

3 0

3 years ago

Espen predicted that he would sell 32 baseball caps, but he actually sold 29 baseball caps. Which expression would find the perc

tiny-mole [99]

Answer:C is the answer

Step-by-step explanation:

3 0

3 years ago

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