Answer:
90
Step-by-step explanation:
Let x be Dany's score in geography. His score in chemistry is double his score in geography and it is equal to
2 x
The average of all four scores is 79. Hence
(93 + 88 + x + 2 x) / 4 = 79
Multiply both sides of the equation by 4
4×(93 + 88 + x + 2 x) / 4 = 4×79
Simplify
93 + 88 + x + 2 x = 316
Group like terms
3 x + 181 = 316
Solve for x
3 x = 135
3 x / 3 = 135 / 3
x = 45
score in geography = x = 45
score in chemistry = 2 x = 2 × 45 = 90
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:
the answer is 6.
Step-by-step explanation:
I think they want you to skip count down by 4 and there's your anwser.
Hope I helped.
SJ
<span>The vertex of the parabola is the highest or lowest point of the graph.
</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)
Lets work with this now: </span>x^2 -2x +3
x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2
Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8
The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8
This will be the max of the parabola as there is - for the highest factor (-4x^2)
The max: x=1, y= -8
Answer:
D.) 1:5
Step-by-step explanation:
The reason why it's D is because when you simplify the original ration, 4:20, you get the simplified answer of 1:5. When you divide each side by 4, you get the ratio of 1:5.
So, D.) 1:5
Hope this helped!
Stay safe and have a wonderful day/night!
<em>Your friend Bella was here :)</em>
