The equation shows the relationship between x and y:y = 7x + 2

What is the slope of the equation?

-7
-5
2
7

Answers

Answer 1

Answer: y=mx+b is the formula.
m is the slope and b is the y-intercept.

y-intercept is when x is 0 and x-intercept is when y is 0. So if x is 0, y=m(0)+b which is y=b. So on the graph y will be b when x is 0.

So in y=7x+2, 7 is the slope and 2 is the y-intercept.

$\sf\ Slope:\ {\boxed{7}$

$y={\underbrace{m}x+{\underbrace{b}$
$\sf\~~~~SLOPE~~~~~Y-INTERCEPT$

Answer 2

Answer: Below is the slope intercept form:
y = mx + b

where: m = slope; b = y-intercept.

Using the above format,

y = 7x + 2

m = 7 ; b = 2

The slope of the equation is 7.
The y-intercept of the equation is 2.

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Solve these system of linear equations:5x-y=10}
4x-2y=20}

AND:

3x+4y=12}
2x-y=-10}

WITH STEPS PLEASE!!!!!

Answers

$5x-y=10 \n4x-2y=20 \ \ \ |\hbox{divide both sides by (-2)} \n \n5x-y=10 \n\underline{-2x+y=-10} \ \ \ |\hbox{add by sides} \n5x-2x-y+y=10-10 \n3x=0 \nx=0 \n \n\hbox{substitute 0 for x in one of the equations:} \n5 * 0 -y=10 \n-y=10 \ny=-10 \n \n\hbox{the answer:} \nx=0 \n y=-10$

$3x+4y=12 \n2x-y=-10 \ \ \ |\hbox{multiply both sides by 4} \n \n3x+4y=12 \n\underline{8x-4y=-40} \ \ \ |\hbox{add by sides} \n 3x+8x+4y-4y=12-40 \n11x=-28 \nx=-(28)/(11) \nx=-2 (6)/(11) \n \n\hbox{substitute -28/11 for x in one of the equations:} \n2 * (-(28)/(11))-y=-10 \n-(56)/(11)-y=-(110)/(11) \n-y=-(110)/(11)+(56)/(11) \n-y=-(54)/(11) \ny=(54)/(11) \ny=4 (10)/(11) \n \n\hbox{the answer:} \nx=-2(6)/(11) \ny=4 (10)/(11)$

The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat rental fee for the week, plus a charge for each mile driven. The Yu's drove 222 miles; their car cost $110.30 for the week. The Sainz's drove 147 miles; their car cost $99.05. What is the linear equation that represents the cost of a rental car? Round to the nearest hundredth

Answers

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Answer:

y=0.15x + 77.00

Step-by-step explanation:

I did it on edge that is the correct answer promise.

5(3x+4)-2x=7x-3(-2x+11)

Answers

5(3x+4)-2x=7x-3(-2x+11)
15x+20-2x=7x+6x-33
13x+20=13x-33
+33 +33
13x+53=13x (divide by 13)
x=53

Choose the inequality that represents the following graph

Answers

Graphing Inequalities on either a number line or in the coordinate plane helps to visualize the the several forms of the inequality. The inequality that represents the given graph is $x>-1$ . Thus option C is the correct option.

Given information-

In the given graph a number line is represents the negative five to the positive five numbers.

Graphing inequalities

Graphing Inequalities on either a number line or in the coordinate plane helps to visualize the the several forms of the inequality. There is some signs which helps to represents these inequalities to represent on the mathematical form.

Sign "<" is used refer the less than amount, sign ">" is used refer the greater than amount, sign " $\leq$ " is used refer the less than or equalto amount and sign " $\geq$ " is used refer the greater than or equal to amount .

In the given graph a number line is shown with an open circle on point -1 and shaded the number which are grater than the number -1.

Thus we use the grater than sign for x. Now x can be any value which is greater than negative one hence we can represent the given graph with the inequality $x>-1$ .

Hence the inequality that represents the given graph is $x>-1$ . Thus option C is the correct option.

Learn more about the Graphing inequalities here;

brainly.com/question/10273289

In figure , a || e , m || n , and m 4 = 108 degrees
What's m 5 ?
____ degrees

Answers

$m\angle 5=180-m\angle 4\nm\angle 5=180-108\nm\angle 5=72^(\circ)$

emily is entering a bicycle race for charity.her mother pledges $0.40 for every 0.25 mile she bikes.if emily bikes 15 miles,how much will her mother donate?