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4 years ago

10x + 2 y = 24 -5 x + y = -18

Mathematics

1 answer:

wlad13 [49]4 years ago

6 0

Answer:

(3,-3)

Step-by-step explanation:

First you divide 2 out of the first equation and it turns into 5x+y=12.

Then you write one on top of the other so you can add them. It looks like:

5x + y = 12

-5x + y = -18

Then you add them together and the 5x's cancel each other out and you are left with 2y = -6

So then you divide both sides by 2 and get y = -3

Then you plug -3 into the second equation because it is simpler and get -5x - 3 = -18

So then you add three to both sides and get -5x = -15

And finally you divide both sides by -5 and get x=3

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The cost of a car rental is $42 per day plus 20 cents per mile. you are on a daily budget of $98. write and solve an inequalit

gayaneshka [121]

R= $42 rental cost per day
Mileage= $0.20 per mile
m= number of miles driven
Budget= $98 per day

EQUATION
$98> $0.20m + $42

SOLUTION
$98> $0.20m + $42
subtract 42 from both sides
$56> $0.20m
divide both sides by $0.20
280> m

They have to drive less than 280 miles per day to stay within their $98 budget.

SAME SOLUTION INEQUALITIES
Set up the equations with new numbers, substitute 280 for m and pick another variable to solve for. I chose to solve for total rental cost.

m= 280 miles per day
R= Rental cost per day

R> $0.10(280) + $50
R> $28 + $50
R> $78

Equation #1
$78> $0.10m + $50

----------
m= 280 miles per day
R= Rental cost per day

R> $0.18(280) + $44
R> $50.40 + $44
R> $94.40

Equation #2
$94.40> $0.18m + $44

ANSWER: 280> m; They have to drive less than 280 miles per day to stay within their $98 budget.

Equation #1: $78> $0.10m + $50
Equation #2: $94.40> $0.18m + $44

Hope this helps! :)

3 0

3 years ago

F(x)=-1/2x^2+4 vertex: min or max: axis of symmetry: y-intercept: domain: range:

lesya692 [45]

"F(x)=-1/2x^2+4 Important: enclose -1/2 inside parentheses.
vertex: For quadratic y=ax^2+bx+c, x value at vertex is -b/2a.
min or max: Corresponds to vertex x value; must also find y value
axis of symmetry: Same as x=value of vertex
y-intercept: Set x=0 and solve for y
domain: Domain is "all real numbers" when f(x) is a polynomial.
range:" Here, the graph opens down (because (-1/2) is negative), so the
range begins at -infinity and extends up to and including the y-
value at the vertex.

F(x)= (-1/2)x^2+4

vertex: Since a = -1/2 and b = 0, x-value at vertex is -b/(2a), or
-(0) / (2[-1/2]) = 0. Graph is symmetric about the y-axis.
The function is F(x) = (-1/2)x^2 +4. At x = 0, y=4.
Thus, the vertex is at (0,4).

maximum occurs at the vertex, and is (0,4). Max value of function is 4.

axis of symmetry: see "vertex," above. x = 0 is that axis.

domain: since this is a polynomial function, the domain is the set of all real numbers.

range: (-infinity, 4] This includes y =4 and all smaller y values.

y-intercept: Set x=0 and find y. As before, y=4. y-intercept is (0,4).

4 0

3 years ago

Dilating a triangle changes the angles and side length of the triangle A.True B.False

True [87]

Answer:

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3 years ago

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The lengths of two sides are given. Determine the range of values for the third length. 2, 10

RSB [31]

Answer:

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Step-by-step explanation:

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3 years ago

-3(3x+15)-(10+x)=35 What is the answer to this ques5

Misha Larkins [42]

Solve for x:
-3 (3 x + 15) - (x + 10) = 35

-3 (3 x + 15) = -9 x - 45:
-9 x - 45 - (x + 10) = 35

-(x + 10) = -x - 10:
-9 x + -x - 10 - 45 = 35

Grouping like terms, -x - 9 x - 45 - 10 = (-9 x - x) + (-45 - 10):
(-9 x - x) + (-45 - 10) = 35

-9 x - x = -10 x:
-10 x + (-45 - 10) = 35

-45 - 10 = -55:
-55 - 10 x = 35

Add 55 to both sides:
(55 - 55) - 10 x = 55 + 35

55 - 55 = 0:
-10 x = 35 + 55

35 + 55 = 90:
-10 x = 90

Divide both sides of -10 x = 90 by -10:
(-10 x)/(-10) = 90/(-10)

(-10)/(-10) = 1:
x = 90/(-10)

The gcd of 90 and -10 is 10, so 90/(-10) = (10×9)/(10 (-1)) = 10/10×9/(-1) = 9/(-1):
x = 9/(-1)

Multiply numerator and denominator of 9/(-1) by -1:

Answer: x = -9

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4 years ago

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10x + 2 y = 24 -5 x + y = -18​

10x + 2 y = 24 -5 x + y = -18