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fomenos
3 years ago
7

Solve the following equations 4x + 3y =17 3x + 2y = 13

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

(5,-1)

Step-by-step explanation:

4x+3y=17

3x+2y=13

So elimination sounds fun but we will have to do manipulation:

Multiply top equation by 2 and bottom equation by 3. This will cause the second term in both by 6y which means we would be setup for elimination.

8x+6y=34

9x+6y=39

--------------------now subtract the equations

-x+0=-5

So x=5

Now plug it into either question (no matter which-pick and choose)

I will go with the second original 3x+2y=13

So if x=5 we have 15+2y=13

Subtract 15 on both sides:        2y=-2

Now divide both sides by 2:      y=-1

Answer (5,-1)

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the equation should be 130×12

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3 years ago
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What is the approximate value of q in the equation below? q log subscript 2 baseline 6 = 2 q 2
Agata [3.3K]

The approximate value of q in the equation below is 0.584

<h3>Logarithmic functions</h3>

Given the log expression as shown below;

q + log2(6) = 2q + 2

Collect the like terms

q - 2q = 2 - log(2)6
-q = 2 - log(2)6

-q = log(2)4 - log(2)6

-q = 2 -2.584

-q = -0.584

q = 0.584

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Learn more on logarithm here: brainly.com/question/237321

6 0
3 years ago
A ball is thrown from the height of 35 meters with an initial downward velocity of 5m/s. The ball's height h (in meters) after t
Verdich [7]
You find this value by factoring.  Factoring finds the zeros of the function.  When the ball hits the ground, it has 0 height.  Therefore, when the function goes through the x axis, it has a y value of 0.  That means that when y = 0, the ball has hit the ground.  Use the quadratic formula to factor h(t)=-5 t^{2}-5t+35.  Notice I rearranged the terms.  When you factor that you get zeros of -3.19 and 2.19.  The two things in math that will never EVER be negative are time and distance/length.  Therefore, that tells us that the ball hits the ground 2.19 seconds after it was thrown.
7 0
3 years ago
Find the distance between the points (-3, 9) and (6,-5). Round the answer to the nearest tenth.
inna [77]

Answer:

D. 16.6

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where

(x_1,y_1) = (-3,9)

(x_2,y_2) = (6,-5)

Replacing these values in the distance formula

D =\sqrt{(-3-6)^2+(9-(-5))^2}

D =\sqrt{(-9)^2+(9+5)^2}

D =\sqrt{(-9)^2+(14)^2}

D =\sqrt{81+196}

D =\sqrt{277}

D= 16.6433

Hence the Distance is 16.60 units

6 0
4 years ago
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you ab
Likurg_2 [28]

Answer: $2,833.47

Step-by-step explanation:

Part 1:

n = [lnA - lnP] / ln(1 + i)

n = [ln15000 - ln10000] / ln(1 + 0.03)

n = [9.6158 - 9.2103] / 0.0296

n = 13.70

13 years, 8 months, and 12 Days

Part 2:

P = A / [(1 + i)n]

P = 15000 / [(1.03)4]

P = 15000 / 1.1255

P = $13,327.31

Part 3:

A = 10000 (1 + 0.04)5

A = $12,166.53

The amount of money you need to save to buy a car at $15,000 would be;

$15,000 - $12,166.53

=> $2,833.47

6 0
3 years ago
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