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Jet001 [13]
3 years ago
6

1) Find the value of x: 8x + 1 14x + 3​

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0
8x + 114x + 3
8x + 114x = 122x
112x + 3

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The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24, algebraically
madreJ [45]

Answer:

(3, 15) and (4, 12)

Step-by-step explanation:

x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x:  {3, 4}.

Since y= -3x + 24, y = 15 when x = 3 and y = 12 when x = 4.  The solutions are thus (3, 15) and (4, 12).  This is the third answer choice.

4 0
3 years ago
Read 2 more answers
A man retires at age 50 with $605,000 in savings. He spends his savings at a steady rate, and after 6 years of retirement, he ha
givi [52]

Since it states that he "spends his savings at a steady rate," we can assume this is a linear equation.

What we know is that he started with $605,000 and after 6 years, he used $300,000. So, we just subtract what he had originally by what he used and get $305,000. We can now make the equation as follows:

300,000=6x, where x is the amount of money he spent in one year. This equation simplifies to x=50,000, which is the amount of money he spent in one year.

Since the question asks us to tell how long it will take him to reach $100,000 in savings, we can make the equation using previous value we have found:

100,000=305,000-50,000x, where x is the number of years passed.

So, this equation solves to -205,000=-50,000x, or x=4.1

I'm not sure how you want to express your answer, but it took him 4.1 years on top of the 6 years already passed to reach $100,000. This mean 10.1 years in total.

Hope this helps!

7 0
2 years ago
Someone please help me❤️ Urgently with at least 1
Oksanka [162]

Answer:

See step-by-step explanation

Step-by-step explanation:

Question 3: (4, -3)

Solving through elimination: Multiply the first equation by -3.

-3x+6y=-30

3x-5y = 27

Add. The x drops out.

y= -3

Substitute -3 in for y.

x-2y=10

x-2(-3)=10

x+6=10

x=4

Question 4: (2,5)

Solve through elimination: Multiply the second equation with 3.

\frac{3}{2} x+y=8

\frac{9}{4} x-y=-\frac{1}{2}

3/2= 6/4

15/4x=7.5

x=2

3/2 (2) + y = 8

3+ y =8

y=5

Question 5: (6,4)

Use your graph to graph.

y=-\frac{1}{3} x+6

Slope of -1/3

Y-intercept of 6 (0,6)

X-intercept of 18 (18,0)

y=\frac{3}{2} x-5

Slope of 3/2

Y-intercept of -5 (0,-5)

X-intercept of \frac{10}{3} (

Question 6: (5, -7)

Ax+2By=-41

4Ax-By=88

3A+2B(4)=-41

4A(3)-B(4)=88

Solve by substitution:

Words of encouragement:

Good luck!

8 0
3 years ago
What's the rate of -3(x-2)-8
Charra [1.4K]

Answer:

-3x-2

Step-by-step explanation:

5 0
2 years ago
the length of a rectangle is 5 centimeters less than six times its width. its area is 14 square centimeters. find the dimensions
V125BC [204]
Not sure if you are familiar with the quadratic equation, but see picture
3 0
3 years ago
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