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jeka94
3 years ago
11

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Solve for x. 3x2 + 13x = 10

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

3x^2+13x=10\ \ \ |-10\\\\3x^2+13x-10=0\\\\3x^2+15x-2x-10=0\\\\3x(x+5)-2(x+5)=0\\\\(x+5)(3x-2)=0\iff x+5=0\ \vee\ 3x-2=0\\\\x+5=0\ \ \ \ |-5\\\boxed{x=-5}\\\\3x-2=0\ \ \ \ |+2\\3x=2\ \ \ \ |:3\\\boxed{x=\dfrac{2}{3}}\\\\Answer:\ x=-5\ or\ x=\dfrac{2}{3}

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Write the linear equation given two points (-6, 8) and (3, -7). *
horrorfan [7]

\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-6)}}}\implies \cfrac{-15}{3+6}\implies \cfrac{-15}{9}\implies -\cfrac{5}{3}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{5}{3}}[x-\stackrel{x_1}{(-6)}]\implies y-8=-\cfrac{5}{3}(x+6) \\\\\\ y-8=-\cfrac{5}{3}x-10\implies y = -\cfrac{5}{3}x-2

6 0
3 years ago
H(t) = 4t+20 What is h(_____)=4?
kaheart [24]

Answer:  h(-4)  

Step-by-step explanation:

If h(x) something is equal to 4  then set the equation equal 4  and solve for t.

4t +20 = 4

    -20    -20  

4t = -16

t = -4  

So h(-4) = 4

7 0
4 years ago
A. Create an algebraic expression.
NikAS [45]

Answer:

Step-by-step explanation:

5x = 30

If there are 5 students in a row, find the number of rows given that the number of total students is 30.

Here  'x' represents the number of row

7 0
3 years ago
Read 2 more answers
PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!
Darina [25.2K]

Answer:

115

Step-by-step explanation:

When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52,  7 times 9=63, 52+63=115.  Hope this helps!

8 0
3 years ago
Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
ValentinkaMS [17]

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
  • brainly.com/question/568302

#LearnwithBrainly

8 0
3 years ago
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