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2 years ago

Factor out the coefficient of the variable. The expression 1/4y+3/8

Mathematics

1 answer:

Alika [10]2 years ago

6 0

Divide everything by 1/4
you will get
y+3/8*4/1
y+1 1/2
therefore
1/4(y+1 1/2) is the answer

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Which like on the graph represents the equation y+4=-2x/3?

Amanda [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

Read 2 more answers

one angle of a triangle is 2 / 3 of a right angle . the greater of the other to exceed the lesser by 20 degree. Find the angles

jarptica [38.1K]

2/3 of a right triangle is 60 degrees. Then x + (x+20) + 60 = 180 total.

2x + 80 = 180, so 2x = 100 and x = 50. The angles are 50, 70 and 60 (degrees)

What do you mean by "grades?"

4 0

2 years ago

Given The following Graph:<br><br> a.)Evaluate f(0). <br> b.) Solve for f(x) = -3

dlinn [17]

Answer:

see explanation

Step-by-step explanation:

f(0) means find the value of y when x = 0

That is f(0) = 1 ← the point (0, 1) on the graph

When f(x) = - 3 means what are the values of x corresponding to y = - 3

From the graph when y = - 3 there are 2 corresponding values of x, that is

x = - 2 or x = + 2

The solution to f(x) = - 3 is x = ± 2

3 0

3 years ago

What is the slope of a line that is perpendicular to the line<br> v= -1/3x - 6

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

the slope of a perpendicular line is the negative reciprocal of the original slope

a reciprocal is the inverse of a number, to find the reciprocal, just flip the numerator and denominator

in this cause, the slope is -1/3

the negative of it is 1/3 and the reciprocal is 3

therefore the slope of the perpendicular line is 3

6 0

3 years ago