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3 years ago

What is the slope-intercept form of the function described by this table?

1 answer:

3 0

For every change of x by 1, y increases by 5.

So the gradient of the line is 5.

To find the y-intercept:

y = mx + c
2 = 5(1) + c
2 = 5 + c
c = -3

So the equation of the line is y = 5x - 3

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If a right triangle, the acute angles measure x+15 and 2x degrees. What is the measure of the smallest angle of the triangle?

saveliy_v [14]

Answer:

The measure of the smallest angle of the triangle is 40.

Step-by-step explanation:

A right triangle adds up to 180

x+15+2x+90=180

Combine like terms

3x+105=180

Subtract both sides by 105

3x+105=180

-105=-105

___________

3x=75 Divide by 3

x=25

Plug in 25 for x for equation expression

90=90

25+15=40

2(25)=50

Therefore for the smallest angle is 40

Hope this helps

6 0

3 years ago

The table shows the number of 7th- and 8th-grade students who belong to an after-school club

netineya [11]

Answer: whats the question though

Step-by-step explanation:

7 0

3 years ago

Can you please answer this question I need to submit in 30 min please HURRY ASAP PLEASE NEED HELP PLEASE !!!!!!!!!!!

Virty [35]

Answer:

The answer is "21"

Step-by-step explanation:

mn + 3r

m = 5

n = 4

r = 1/3

Now just substitute the values given in the question into the equation

5(4) + 3(1/3)

Multiply 5 and 4 to get 20

20 + 3(1/3)

3(1/3) cancels out and becomes 1

20 + 1

Add 20 and 1

So "21" is your answer

6 0

3 years ago

Is (-4, 2) a solution of 4x + 5y <-7?

Tasya [4]

No bc 4(-4)+5(2)=-6 which is greater than -7

5 0

3 years ago

Read 2 more answers

Solve: [3(1/5)] + 75% - [1(3/10)]

Jlenok [28]

Step-by-step explanation:

$\large{\underline{\underline{\bf{\purple{Solution\: : - }}}}}$

$\begin{gathered}\\ \dashrightarrow{\sf{3\dfrac{1}{5}} + 75\% - {1\dfrac{3}{10}}} \\ \end{gathered}$

$\red \divideontimes$ Firstly, converting mixed fractions into improper fraction.

$\begin{gathered} \\ {\dashrightarrow{\sf{\dfrac{(3 \times 5) + 1}{5}} + 75\% - {\dfrac{(1 \times 10) + 3}{10}}}} \\ \end{gathered}$

$\begin{gathered}{\dashrightarrow{\sf{\dfrac{15 + 1}{5}} + 75\% - {\dfrac{10 + 3}{10}}}} \\ \end{gathered}$

$\begin{gathered}{\dashrightarrow{\sf{\dfrac{16}{5}} + 75\% - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\red \divideontimes$ As we know that, 1% = 1/100, then converting 75% into improper fraction.

$\begin{gathered}\\{\dashrightarrow{\sf{\dfrac{16}{5}} + \dfrac{75}{100} - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\red \divideontimes$ According to the BODMAS, Firstly we will perform the addition.

$\begin{gathered}\\{\dashrightarrow{\sf{\bigg(\dfrac{16}{5}} + \dfrac{75}{100} \bigg) - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\red \divideontimes$ Taking the LCM of denominators.

$\begin{gathered}\\{\dashrightarrow{\sf{\bigg(\dfrac{(16 \times 20) + (75 \times 1)}{100}} \bigg) - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\begin{gathered}{\dashrightarrow{\sf{\bigg(\dfrac{320 + 75 }{100}} \bigg) - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\begin{gathered}{\dashrightarrow{\sf{\bigg(\dfrac{395 }{100}} \bigg) - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\red \divideontimes$ Now, converting 395/100 in simplest form.

$\begin{gathered}\\ {\dashrightarrow{\sf{\bigg( \cancel{\dfrac{395 }{100}}} \bigg) - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\begin{gathered}{\dashrightarrow{\sf{\bigg(\dfrac{79}{20}} \bigg) - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\red \divideontimes$ Now, performing subtraction, according to BODMAS.

$\begin{gathered}\\ {\dashrightarrow{\sf{\dfrac{79}{20}} - {\dfrac{13}{10}}}} \\ \end{gathered}$

$\red \divideontimes$ Again, taking LCM of denominators.

$\begin{gathered}\\ {\dashrightarrow{\sf{\dfrac{(79 \times 1) - (13 \times 2)}{20}}}} \\ \end{gathered}$

$\begin{gathered}{\dashrightarrow{\sf{\dfrac{79 -26}{20}}}} \\ \end{gathered}$

$\begin{gathered}{\dashrightarrow{\sf{\dfrac{53}{20}}}} \\ \end{gathered}$

$\begin{gathered}\red{\bigstar{\underline{\boxed{\bf{Answer = \dfrac{53}{20}}}}}}\end{gathered}$

<u>∴ The answer is 53/20.</u>

$\begin{gathered}\end{gathered}$

6 0

3 years ago

Read 2 more answers