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andrew-mc [135]
3 years ago
6

How do I Factor 42p⁴+9p³q²-18p²q²​

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)

Step-by-step explanation:

To answer this, we simply look for that term that is common to all

Looking at the given expression, we can see that the term we are looking for is p^2

Thus, we have that;

42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)

When we multiply the term outside the bracket with each of the terms inside, we get back the original term

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Identify the values of m and b of the linear function y = mx + b, graphed below. ​
Varvara68 [4.7K]
<h2>Finding the slope and y-intercept of a line given the graph</h2><h3>Answer:</h3>

b = 4

m = -\frac{1}{3}

<h3>Step-by-step explanation:</h3>

An equation of a line written in its Slope-intercept Form, y = mx +b, has b as its y-intercept and m as its slope.

b or the y-intercept is the y-coordinate when x = 0. On the given line, we can see that when x = 0, y = 4. It's y-intercept is the point (0,4) so b = 4.

The slope, m, of the line can be calculated by \frac{y_2 -y_1}{x_2 -x_1}\\ where x_n and y_n is the xy-coordinates of any point n on the line. In the given line, we can see that (5,3) is on the line so this can be point 1. (0,4) is also on the line (yes, you can also use the y-intercept in calculating the slope of the line) so this can be our point 2.

m = \frac{4 -3}{0 -3} \\ m = \frac{1}{-3} \\ m = -\frac{1}{3}

The y-intercept is b = 4 and the slope is m = -\frac{1}{3}

5 0
3 years ago
what is the equation in standard form of a line that passes through (1,24) and has a slope of -0.6??​
Marrrta [24]

Answer:

5y+3x=123

Step-by-step explanation:

(x1,y1)=(1,24), m=-0.6

y-y1=m(x-x1)

y-24=-0.6(x-1)

y-24=-6/10(x-1)

10(y-24)=-6(x-1)

10y-240=-6x+6

10y+6x=6+240

10y+6x=246

divide by through by 2

5y+3x=123

4 0
3 years ago
Nicole and her grandmother lives in the same neighborhood,but a forest of trees separate their house.if you left Nicole's house
Masteriza [31]
Wouldn't that be 3 miles?
6 0
4 years ago
Read 2 more answers
Find the maximum value of x+y given that<br><br><br><br><br>x&gt;=-3<br>y&gt;=5x-9<br>3x+y&lt;=15
kotykmax [81]
X ≥ -3
y ≥ 5x - 9
3x + y ≤ 15

3(-3) + (5x - 9) ≤ 15
    -9 + (5x - 9) ≤ 15
    (-9 - 9) + 5x ≤ 15
         -18 + 5x ≤ 15
       <u>+ 18         + 18</u>
                   <u>5x</u> ≤ <u>33</u>
                    5      5
                     x ≤ 6.6
                     y ≤ 5(6.6) - 9
                     y ≤ 33 - 9
                     y ≤ 24
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7 0
4 years ago
If
sp2606 [1]

Answer:

51

Step-by-step explanation:

4x12-3x3+12

48-9+12=51

7 0
3 years ago
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