The graph shows two lines, A and B:A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6. Another straight line labeled B joins the ordered pair 0, 0 and the ordered pair 5, 5.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

A (0, 6) is the solution to both lines A and B.
B(0, 6) is the solution to line B but not to line
C(2, 2) is the solution to both lines A and B.
D (2, 2) is the solution to line A but not to line

Answers

Answer 1

Answer: The correct answer for the question that is being presented above is this one: "A (0, 6) is the solution to both lines A and B." The statement that is correct about the solution to the system of equations for lines A and B is that (0, 6) is the solution to both lines A and B.

Answer 2

Answer:

Answer:

C(2, 2) is the solution to both lines A and B.

Step-by-step explanation:

Line A is given as:

A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.

We know that the equation of a line passing through (a,b) and (c,d) is calculated as:

$y-b=(d-b)/(c-a)* (x-a)$

Hence, the equation of line is:

$y-0=(6-0)/(0-3)* (x-3)\n\ny=(6)/(-3)* (x-3)\n\ny=-2* (x-3)\n\ny=-2x+6$

Hence, equation of line A is:

$y=-2x+6$

Similarly B is a line passing through (0,0) and (5,5).

Hence, the equation of line B is:

$y=x$

So, from the graph we observe that, the point of intersection of the two lines is (2,2).

Thus, option C is correct.

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Simplify the product using the distributive property. (-4h +2)(3h +7)

Answers

Answer: $-12h^2-22h+14$

Step-by-step explanation:

According to distributive property under multiplication over addition

We can write a.(b+c)=a.b+a.c

Since, The given expression, (-4h+2)(3h+7)

By applying distribution in first bracket.

we can write, (-4h+2)(3h+7)= -4h(3h+7)+2(3h+7)

Again on applying distribution property,

we get, (-4h+2)(3h+7)= -4h×3h+(-4h)×7+2×3h+2×7

⇒ $(-4h+2)(3h+7)= -12h^2-28h+6h+14$ = $-12h^2-22h+14$

-2(2h - 1)(3h + 7)
(-2(2h) - 2(-1))(3h + 7)
(-4h + 2)(3h + 7)
-4h(3h + 7) + 2(3h + 7)
-4h(3h) - 4h(7) + 2(3h) + 2(7)
-12h² - 28h + 6h + 14
-12h² - 22h + 14

What is the product? 5/3*10/3a. 23/6
b. -5/7
c. -7/5
d. 5/3

Simplify the expression. (8 + 7a) + 4
a. 12 + 11a
b. 19a
c. 8 + 11a
d. 12 + 7a

Answers

$(5)/(3) * (10)/(3) \n \n (5 * 10)/(3 * 3) \n \n (50)/(3 * 3) \n \n (50)/(9) \n \n 5 (5)/(9) \n \n Answer: \fbox {5 5/9} \ or \ \fbox {5.5556} \n \n ----------- \n \n (8 + 7a) + 4 \n \n 8 + 7a + 4 \n \n 7a + 12 \n \n Answer: \fbox {12 + 7a}$

(5/3)(10/3)

=(5/3)(10/3)

=(5)(10)
--------
(3)(3)

=50/9 (~5.6)

..........

Let's simplify step-by-step.

(8+7a)+4

Combine Like Terms:

=8+7a+4

=(7a)+(8+4)

=7a+12

Answer:

=7a+12 (d.)

(-3) to the power of 3 is?

Answers

Answer:

-27

Step-by-step explanation:

(-3)^3 = (-3) * (-3) * (-3) = 9 * (-3) = -27

Answer:

-27

Step-by-step explanation:

In order to find the answer to this question you have to multiply the exponent by itself three times.

$-3^3 = -3*-3*-3$

Remember that a negative times a negative is a positive

$-3 * -3 = 9$

Remember a positive times a negative is a negative

$9 * -3 = -27$

$=-27$

Hope this helps.

Below are two different functions, f(x) and g(x). What can be determined about their slopes?f(x) Alex earns 1600 dollars in 400 hours.
x
g(x)
1
−8
5
12
9
32

Answers

Answer:

As per the statement:

Below are two different functions, f(x) and g(x).

For f(x):

Alex earns 1600 dollars in 400 hours.

$\text{unit rate per hour} = (1600)/(400) = 4$ dollars.

Slope of f(x) = 4

Now, find the slope of g(x):

Formula for slope is given by:

$\text{Slope} = (y_2-y_1)/(x_2-x_1)$

From the given tables:

Consider two values (x, g(x)) i.e,

(1, -8) and (5, 12)

Then;

$\text{Slope} = (12-(-8))/(5-1)$

⇒ $\text{Slope} = (20)/(4) =5$

⇒Slope of g(x) = 5

$\text{Slope of g(x)} > \text{Slope of f(x)}$

Therefore, the function g(x) has faster slope.

f(x) = 1600/400 reduces to 4....the slope of f(x) is 4

g(x) :
(1,-8)(5,12)
slope = (12 - (-8) / (5 - 1) = (12 + 8)/4 = 20/4 = 5...slope of g(x) is 5

so g(x) has a greater slope then f(x)

I am not sure if this is right can someone check it ASAP please