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3 years ago

Consider this system of equations. Which shows the first equation written in slope-intercept form? 1/2(2y+10)=7x

Mathematics

2 answers:

AysviL [449]3 years ago

8 0

Answer:y=7x-5

Step-by-step explanation:

notka56 [123]3 years ago

3 0

Answer:

$y=7x - 5$ is in slope intercept form

Step-by-step explanation:

$\frac{1}{2}(2y+10)= 7x$

We need to write the equation in slope intercept form

Slope intercept form of the equation is $y=mx+b$

where m is the slope and b is the y intercept

To get the equation in slope intercept form we need to get y alone

$\frac{1}{2}(2y+10)= 7x$

Multiply 1/2 inside the parenthesis

$y+5 = 7x$

To get y alone , subtract 5 from both sides

$y=7x - 5$ is in slope intercept form

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There are chicken and rabbits on a farm. You count 98 legs and your friend counts 30 heads. How many chickens and how many rabbi

jarptica [38.1K]

Chickens have 1 head and 2 legs
rabbits had 1 head and 4 legs

total heads is 30
c+r=30
total legs is 98
2c+4r=98
divide by 2
c+2r=49

multiply top equation by -1 and add to 2nd equation

-c-r=-30
c+2r=49 +
0c+1r=19

r=19

sub back
c+r=30
c+19=30
minus 19
c=11

11 chickens
19 rabbits

6 0

3 years ago

What is the product of 5 and 8<img src="https://tex.z-dn.net/?f=%5Csqrt%7B80%7D" id="TexFormula1" title="\sqrt{80}" alt="\sqrt{8

alina1380 [7]

Answer:

Step-by-step explanation:

√80 = √(2⁴ × 5) = √2⁴ × √5 = 4√5

5 × 8√80 = 160√5

3 0

3 years ago

13 POOINNTSSS PLEASE HELP ON 6-10 AND 13 TIMED TYSM IF U ANSWER

Leona [35]

Answer:

The answer is 12.8.

Step-by-step explanation:

0.16 times 80 = 12.8

8 0

3 years ago

How would I solve for the parabolic equation with these two given points. Please answer ASAP!!

monitta

So

y=ax^2+bx+c
(x,y)
sub the points and solve

(4.28,6.48)
6.48=a(4.28)^2+b(4.28)+c

(12.61,15.04)
15.04=a(12.61)^2+b(12.61)+c
well, for 3 variables, we need equations and therefor 3 points

maybe we are supposed to assume it starts at (0,0)
so then
0=a(0)^2+b(0)+c
0=c
so then
6.48=a(4.28)^2+b(4.28)
15.04=a(12.61)^2+b(12.61)

solve for a by subsitution
first equation, minut a(4.28)^2 from both sides
6.48-a(4.28)^2=b(4.28)
divide both sides by 4.28
(6.48/4.28)-4.28a=b
sub that for b in other equation

15.04=a(12.61)^2+b(12.61)
15.04=a(12.61)^2+((6.48/4.28)-4.28a)(12.61)
expand
15.04 =a(12.61)^2+(81.7128/4.28)-53.9708a
minus (81.7128/4.28) both sides
15.04-(81.7128/4.28)=a(12.61)^2-53.9708a
15.04-(81.7128/4.28)=a((12.61)^2-53.9708)
(15.04-(81.7128/4.28))/(((12.61)^2-53.9708))=a
that's the exact value of a
to find b, subsitute to get
(6.48/4.28)-4.28((15.04-(81.7128/4.28))/(((12.61)^2-53.9708)))=b

if we aprox
a≈-0.038573167896199
b≈1.6791118501845
so then the equation is
y=-0.038573167896199x²+1.6791118501845x

7 0

3 years ago

Graph the system of inequalities to show all possible solutions. {y<3x-2 {y ≥ -x+3

Semmy [17]

Answer:

see attachment for graph

Step-by-step explanation:

< or > : dashed line

≤ or ≥ : solid line

< or ≤ : shade below the line

> or ≥ : shade above the line

To graph the line y < 3x-2

Rewrite the equation as: y = 3x - 2

Find two points on the line:

when x = 0, y = 3(0) - 2 = -2 → (0, -2)

when x = 3, y = 3(3) - 2 = 7 → (3, 7)

Plots the found points (0, -2) and (3, 7).

Draw a straight, dashed line through the points.

To graph the line y ≥ -x + 3

Rewrite the equation as: y = -x + 3

Find two points on the line:

when x = 0, y = -(0) + 3 = 3 → (0, 3)

when x = 3, y = -(3) + 3 = 0 → (3, 0)

Plots the found points (0, 3) and (3, 0).

Draw a straight, solid line through the points.

Shade above the solid line and below the dashed line to the right of where the two lines intersect. The shaded area is the area of all possible solutions.

5 0

2 years ago

Read 2 more answers