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algol13
4 years ago
9

What is the solution to the system of equations graph below?

Mathematics
2 answers:
kirza4 [7]4 years ago
7 0

Answer:

Correct option is:

B. (-2,3)

Step-by-step explanation:

The solution of the system of the equations graphed is that point on which the two graphs meet.

Here, the system of equations:

y=4x+11

y= -2x-1

are graphed and as we can clearly see from the graph the two graphs meet at a point (-2,3)

So, solution is (-2,3)

Hence, Correct option is:

B. (-2,3)

mestny [16]4 years ago
6 0

Answer: B. (-2, 3)


Step-by-step explanation: The two lines have the same solution where both lines intersect. So, if you look at the point on the graph where the two lines intersect, and count the tick marks on the number lines, the point is clearly located at (-2, 3).

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What are the zeros of the quadratic function f(x) = 6x2 12x – 7?
vladimir1956 [14]
6x^2 + 12 x -7 =0

a=6
b=12
c=-7

x= \frac{-b +/-   \sqrt{b^{2} -4ac}}{2a}

x = {-12 +/- √[12^2 - 4(6)(-7)]} / [2(6)]

x=  0.472

x = -2.472
3 0
3 years ago
Read 2 more answers
In a certain bookstore, 30 percent of the books that have been discounted are called bargain books and are priced below $4. If t
svet-max [94.6K]

Answer: the percent of the books in the store that are discounted is 60%

Step-by-step explanation:

Let x represent the total number of books in the bookstore. If the bargain books make up 18 percent of the total number of books in the store, it means that the total number of bargain books in the bookstore is

18/100× x = 0.18x

Let y represent the number of books that have been discounted. 30 percent of the books that have been discounted are called bargain books. This means that

30/100 × y = × 0.18x

0.3y = 0.18x

y = 0.18x/0.3 = 0.6x

The percentage of the number of books that have been discounted would be

0.6x/x × 100/= 0.6×100 = 60%

4 0
3 years ago
Which equation represents the graph function?
DENIUS [597]

Answer:

See below.

Step-by-step explanation:

First, it's obviously a line so the equation is a linear equation.

In order to find a linear equation, we first need the slope and the y-intercept. Recall the slope-intercept form: y=mx+b, where m is the slope and b is the y-intercept.

We already know the point (0,3) which is the y-intercept. Thus, b=3.

To find the slope, use the slope formula:

m=\frac{\Delta y}{\Delta x} =\frac{2-3}{3-0}=-1/3

Thus, the equation is:

y=-\frac{1}{3}x+3

4 0
3 years ago
Read 2 more answers
What is the solution of the system of equations
White raven [17]

Answer:

It the 3rd one it's correct cuz i worked it out

Can i have a brainliest please!!:)

Step-by-step explanation:

solve your system by substitution.

c+3d=8;c=4d−6

Rewrite equations:

c=4d−6;c+3d=8

Step: Solve c=4d−6for c:

c=4d−6

Step: Substitute4d−6forcinc+3d=8:

c+3d=8

4d−6+3d=8

7d−6=8(Simplify both sides of the equation)

7d−6+6=8+6(Add 6 to both sides)

7d=14

7d

7

=

14

7

(Divide both sides by 7)

d=2

Step: Substitute2fordinc=4d−6:

c=4d−6

c=(4)(2)−6

c=2(Simplify both sides of the equation)

Answer:

c=2 and d=2

 

6 0
3 years ago
An example of consecutive odd integers is 23, 25, 27, and 29. Find four consecutive odd integers with a sum of 160. Show your wo
Andrew [12]
Step1: Define an odd integer.
Define the first odd integer as (2n + 1), for n = 0,1,2, ...,
Note that n is an integer that takes values 0,1,2, and so no.

Step 2: Create four consecutive odd integers.
Multiplying n by 2 guarantees that 2n will be zero or an even number.
Therefore (2n + 1) is guaranteed to be an odd number.
By adding 2 to the odd integer (2n+1), the next number (2n+3) will also be an odd integer.

Let the four consecutive odd integers be
2n+1, 2n +3, 2n +5, 2n +7 

Step 3: require that the four consecutive integers sum to 160.
Because the sum of the four consecutive odd integers is 160, therefore
2n+1 + 2n+3 + 2n+5 + 2n +7 = 160
8n + 16 = 160
8n = 144
n = 18

Because 2n = 36, the four consecutive odd integers are 37, 39, 41, 43.

Answer: 37,39,41,43

8 0
3 years ago
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