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Radda [10]
3 years ago
15

Solve -2a-5>3. which graph shows the solutions?​

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

- 2a - 5 > 3 ( add 5 to both sides )

- 2a > 8

Divide both sides by - 2, reversing the direction of the inequality sign as a consequence of dividing by a negative quantity

a < - 4

Since a is less than we require an open circle at - 4 on the number line.

Since less than the arrow head is pointing to the left, that is

Graph A, the top graph illustrates the solution

You might be interested in
Algebra 2 Math question Grade 11
Paha777 [63]

Answer:

\displaystyle y=\frac{4}{5}x+\frac{13}{5}

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The points are (3,5) and (-2,1):

\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}

The equation is now:

\displaystyle y=\frac{4}{5}x+b

To calculate b, we use any of the given points and solve for b. Use (3,5):

\displaystyle 5=\frac{4}{5}3+b

Operate:

\displaystyle 5=\frac{12}{5}+b

Solve:

\displaystyle b=5-\frac{12}{5}=\frac{13}{5}

The required equation of the line is:

\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}

3 0
3 years ago
The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the
zmey [24]

(a) The nth term of the sequence is given by A(n)=195 + (n - 1)10.

(b) The 12th term of the sequence is A(12) = 305.

<h3>What is an arithmetic sequence?</h3>

One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...

The term "finite arithmetic progression" or "arithmetic progression" refers to a limited segment of an arithmetic progression.

A mathematical sequence has the following structure: a, a+d, a+2d, a+3d, etc., up to n terms. The initial term is a, the shared distinction is d, and n is the total number of words. Find the AP, the first term, the number of terms, and the common difference for the computation using the arithmetic sequence formulae. To determine the nth term, sum, or common difference of a given arithmetic sequence, many formulae related to arithmetic series are utilized.

A(n)=195+(n-1)10

The given arithmetic sequence is 195, 205, 215, 225,.....

The first term a =195

The common difference d= 205-195

d =215-205

d =225-215

So, d = 10

(a) The nth term is given by

A(n)=a+(n-1)d

A(n)=195+(n-1)10

(b) For n=12, the 12th term is given by

A(12)=195+11(10)

A(12)=305

Therefore, A(n)=195+(n-1)10

And A(12)=305

To know more about the arithmetic sequences, visit:

brainly.com/question/15412619

#SPJ1

8 0
1 year ago
How much will the tax be on a $66 meal​
oee [108]
It just depends on how much tax is where you live so for where I live tax is 7 cents for every dollar so if we do 66x7 we would get 462 cents and that all adds up to 4 dollars and 62 cents, enjoy.
4 0
3 years ago
How i can find 7 times 754 using two different methods
g100num [7]
You can add 754 7 times, or just multiply regularly.
4 0
3 years ago
Read 2 more answers
Joe has a rectangular garden that is 6 meters by 5 meters. He wants to enlarge the garden and make it 12 meters by 10 meters. Wh
Vesna [10]

Answer:

5 X 6 = 30

12 X 10 = 120

120/30 = 4

answer is C quadrupled

5 0
2 years ago
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