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baherus [9]
3 years ago
7

Do question 4 and explain how you got the answer please. The question is on the image

Mathematics
2 answers:
iVinArrow [24]3 years ago
8 0
<span>x+2y=200
x=y+50 
if x + 2y = 200, then let's solve it for x... 
x = 200 - 2y (subtracted 2y from both sides) 
Now we have two "x +" equations" 
x = y + 50
x = 200 - 2y 
If x equals two things, those two things equal each other (transitive property) 
y + 50 = 200 - 2y 
3y + 50 = 200 (added 2y to both sides) 

3y = 150 (subtracted 50 from both sides) 
y = 50. 
if y = 50, sub 50 back in for y into either of the two original equations (how about both to check?) 
x + 2(50) = 200
x + 100 = 200
x = 100 
x = 50 + 50
x = 100 
it's the same, so x = 100, y = 50
The lines cross at (100, 50)
hopes this helps :) :D :)</span>
daser333 [38]3 years ago
7 0
Step 1: Subtract 50 from both sides.
<span><span><span>y+50</span>−50</span>=<span>200−50</span></span><span>y=150
</span><u>Answer:
</u><span>y=<span>150</span></span>
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Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?​
Dima020 [189]

Answer:

x = - 2, x = 4

Step-by-step explanation:

Given

f(x) = (x - 4)(x + 2)

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0 ← in standard form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4 → (4, 0 )

x + 2 = 0 ⇒ x = - 2 → (- 2, 0 )

7 0
3 years ago
Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line
marin [14]

Answer:

The equation in slope-intercept form will be:

  • y = -2x + 14

Step-by-step explanation:

Given

  • slope = m = -2
  • point (5, 4)

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14  in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

  • y = -2x + 14
3 0
2 years ago
Which state has the least school districts per capita?​
Effectus [21]
Which state has the least school districts per capita?
5 0
3 years ago
Find the 20th term in the sequence, where the first term is -2 and the common ratio is-2.
geniusboy [140]

Answer:

Step-by-step explanation:

(1)

a1=-2

r=-2

a_{20}=(-2)(-2)^{20-1}=-2(-2)^{19}=2^{20}=1048576\\(2)\\a_{1}=1000\\r=\frac{200}{1000} =\frac{1}{5} \\a_{8}=1000(\frac{1}{5} )^{8-1}=1000(.2)^7=0.0128\\(3)\\a_{1}=2\\a_{3}=50\\a_{2}=\sqrt{2*50} =10\\r=\frac{10}{2} =5

6 0
2 years ago
Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bought 3 kilograms of c
grin007 [14]
Erika $21
3k of cinnamon
1g of gummies

Irene $39
3k of cinnamon
3k of gummies

c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies

Erika's Equation
3c + 1g= $21

Irene's Equation
3c + 3g= $39

Solve for one variable in equation one and substitute it in the other equation.

3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c

Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4

Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9

ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.

Hope this helps! :)
3 0
3 years ago
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