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2 years ago

3x+4(x+3)=7 solve for x

Mathematics

2 answers:

Alisiya [41]2 years ago

8 0

3x+4(x+3)=7
3×+4×+12=7
7×+12=7
7×=-5
×=-5/7

NeTakaya2 years ago

5 0

Answer:

x = $\frac{-5}{7}$

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+4(x+3)=7

3x+(4)(x)+(4)(3)=7(Distribute)

3x+4x+12=7

(3x+4x)+(12)=7(Combine Like Terms)

7x+12=7

Step 2: Subtract 12 from both sides.

7x+12−12=7−12

7x=−5

Step 3: Divide both sides by 7.

$\frac{7x}{7} = \frac{-5}{7}$

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Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

7 0

2 years ago

The equation of a parabola is y=x2+6x+9. Write the equation in vertex form.

nignag [31]

Answer:

Step-by-step explanation:

Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

$x^2+6x=-9$

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

$x^2+6x+9=-9+9$

The reason we do this is to create a perfect square binomial on the left:

$(x+3)^2=0$ (obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

$(x+3)^2+0=y$

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.

6 0

2 years ago

Find the value of x.<br> 31°<br> to<br> 35°

VMariaS [17]

Step-by-step explanation:

the sum of all angles in a triangle is always (ALWAYS !) 180°.

180 = 31 + 35 + x = 66 + x

x = 180 - 66 = 114°

3 0

1 year ago

Read 2 more answers

Need help asap pls pls pls

Sliva [168]

Answer:

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Step-by-step explanation:

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6 0

2 years ago

I need help ASAP ! Nd plz help me how to show work

Kisachek [45]

Answer:

x = -3

Step-by-step explanation:

y = -x + 2

7x + 4y = -1

Subsitution method: (Substitute y)

7x + 4(-x+2) = -1

Expand.

7x + (-4x + 8) = -1

One plus and one minus make one minus. Two plus makes a plus.

7x -4x + 8 = -1

Simplify.

3x + 8 = -1

Isolate 3x.

3x = -1-8

= -9

Find x.

x = -9 ÷ 3

= -3

4 0

2 years ago