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Triss [41]
3 years ago
6

Solve: 4x + 6 = 8x - 18

Mathematics
2 answers:
sladkih [1.3K]3 years ago
5 0

Answer:

x=-3

Step-by-step explanation:

4x+6=8x+18

We simplify the equation to the form, which is simple to understand  

4x+6=8x+18

We move all terms containing x to the left and all other terms to the right.  

+4x-8x=+18-6

We simplify left and right side of the equation.  

-4x=+12

We divide both sides of the equation by -4 to get x.  

x=-3

WITCHER [35]3 years ago
3 0

Answer:

hope it helps answer is x=6

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3t^2+10t+7<br> factor im confused what im doing
mrs_skeptik [129]

Answer:

(3t + 7) (t + 1)

Step-by-step explanation:

3t^2 + 10t + 7

(3t^2 + 3t) (7t+7)

3t (t+1) 7 (t+1)

(3t+7) (t+1)

8 0
3 years ago
An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
Describe some main differences between an Euler graph and a tree graph.
posledela

Answer:

The Obvious

Euler graph all connects almost like a circle

A tree graph looks like it branches off each other with no line connect in a circle like form

3 0
3 years ago
−1/2(7z+4)+1/5(5z−15)
Tanya [424]

Answer:

Step-by-step explanation:

-7z/2 - 2 + z -3

=-5 - 5z/2

5 0
2 years ago
Find the slope of the line that contains the<br><br>point (4, −9) and has a y intercept of 2.
ASHA 777 [7]

Answer:

<h2>         m = -¹¹/₄</h2>

Step-by-step explanation:

The equation of a line with slope of <em>m</em> and y-intercept of <em>b</em> is: y = mx + b

b = 2 and line contains the point (4, -9), so:

-9 = m×4 + 2          {subtract 2 from both sides}

-11 = 4m                   {divide booth sides by 4

m = -¹¹/₄

5 0
3 years ago
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