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Dmitrij [34]
3 years ago
8

The sum of two numbers is 25, and the difference of their squares is 75. what are the two numbers?

Mathematics
1 answer:
grigory [225]3 years ago
7 0
X+y=25
14*14=196
11*11=121

196-121=75
the answer is x=14 and y=11
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Apply division algorithm to find the quotient and remainder on dividing the polynomial 3 x^ + 4 x^ square + 6 x + 9 by x^ + 3x +
Ulleksa [173]

I suppose you mean

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}

3x^3=3x\cdot x^2, and if we multiply x^2+3x+7 by 3x we get 3x^3+9x^2+21x. Subtracting this from the numerator gives a remainder of -5x^2-15x+9.

-5x^2=-5\cdot x^2, and multiplying x^2+3x+7 by -5 gives -5x^2-15x-35. Subtracting this from the previous remainder gives a new remainder of 44.

44 has no remaining factors of x^2 in it, so we're done, and

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}=\underbrace{3x-5}_{\rm quotient}+\dfrac{\overbrace{44}^{\rm remainder}}{x^2+3x+7}

4 0
3 years ago
44 students completed some homework and the histogram shows information about the times taken. Work out an estimate of the inter
Vilka [71]

Answer:

q1=11

q3= 33

Step-by-step explanation:

The data set has 44 number of students. The first quartile is 25 %  of the numbers in the data set . So

25 % of 44 = 25/100 * 44= 0.25 *44 = 11

So the first quartile lies at 11.

Similarly the third quartile lies at the 75 % of the numbers of the data set . So

75 % of 44 = 75/100 * 44= 0.75 *44 = 33

So the third quartile lies at 33.

5 0
3 years ago
Help please . Thank you
MArishka [77]
The general form is ax²+bx+c=0,
so at least we know b has to be 0. None of the values match unless we multiply everything by 4. That leads to answer B, a=1, b=0 and c=20
7 0
3 years ago
Pls help me with my math
natka813 [3]

Answer:

d.

Step-by-step explanation:

Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.

Right line is defined when x is greater or equal to one x ≥ 1.

Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.

Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)

You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.

4 0
2 years ago
-8=-(x+4) i need help with this problem!!
kozerog [31]

X=4

You have to distribute the negative sign for everything in the parentheses. After that you add x to the other side then add 8 to the opposite side to move them. Then your answer is 4.

5 0
3 years ago
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