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cestrela7 [59]
3 years ago
14

Find

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
6 0

Step-by-step explanation:

4 {x}^{2}  + 5x + 6x = 3x - 2 {x}^{2} + x \\  4 {x}^{2}   + 11x = 4x - 2 {x}^{2}  \\ 4 {x}^{2}  + 2 {x}^{2}  = 4x  - 11x \\ 6 {x}^{2}  =  - 7x \\ 6x = -  7 \\ x =  \frac{ - 7}{6}  \\ thank \: you

Nata [24]3 years ago
3 0

Answer:

\rm x = -\frac{7}{6}

Step-by-step explanation:

\rm 4 {x}^{2} + 5x + 6x = 3x - 2 {x}^{2} + x

\rm 4x^{2}+11x=3x^{1}-2x^{2}+x

\rm 4x^{2}+11x=3x-2x^{2}+x

\rm 4x^{2}+11x=4x-2x^{2}

\rm 4x^{2}+11x-4x=-2x^{2}

\rm 4x^{2}+7x=-2x^{2}

\rm 4x^{2}+7x+2x^{2}=0

\rm 6x^{2}+7x=0

\rm 6x + 7 = 0

\bold{x = -\frac{7}{6}}

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How do you find the quadratic function with vertex (-2,5) and point (0,9)?
Anastaziya [24]

Answer: y = (x +2)² + 5

<u>Step-by-step explanation:</u>

y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>

Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a":  (x, y) = (0, 9) and (h, k) = (-2, 5)

y = a(x - h)² + k

9 = a(0 - (-2))² + 5

9 = a(0 + 2)² + 5

9 = a(2)² + 5

<u>-5 </u>   <u>          -5 </u>

4  =  a(4)

<u>÷4 </u>   <u> ÷4   </u>

 1 = a

Next, plug in "a" and the vertex (h, k):

y = a(x - h)² + k

y = 1(x +2)² + 5

y = (x +2)² + 5


6 0
4 years ago
If a = -2.6, what is the value of -a
7nadin3 [17]

if a = -2.6

then -a = -(-2.6)

so -a =2.6

8 0
3 years ago
Read 2 more answers
(10+ 2)12-06)<br> What is the answer?
Nutka1998 [239]
10+2=12-06/6=6
Hope this helped you ^^
8 0
3 years ago
How to factor 4x^2+7x-15
GuDViN [60]
4x^2+7x-15

Break the expression into group:

(4x^2+5x)+(12x-15)

factor out x from 4x² - 5x : x (4x-5)
factor out 3 from 12x-15 : 3 (4x-5)

=x(4x-5)+3(4x-5)

factor out common term (4x-5) :

= (4x-5)(x+3)

hope this helps!

4 0
3 years ago
Rewrite the following linear equation in slope-intercept form. y+4=-2(x-1)
romanna [79]

Answer:

y = -2x - 1

Step-by-step explanation:

Rewrite y + 7 = -2(x - 3) in slope-intercept form (which is y = mx + b):

First, perform the indicated multiplication:

y + 7 = -2x + 6

Combining the constants, we get

y = -2x - 1

This is the desired equation in slope-intercept form.  slope is -2 and y-intercept is -1.

5 0
3 years ago
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