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2 years ago

The sum of 2 integers is 9. the product of the integers is 14 what are the integers

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

3 0

Answer:

7 and 2

Step-by-step explanation:

7 plus 2 is 9. 7 times 2 is 14.

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2 years ago

Read 2 more answers

Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.

Dominik [7]

Answer:

f(x) = -4x² + 19x - 18

Step-by-step explanation:

$f(x) = 2x^2 - 1.5x - 5$

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

$y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6$

f(x) = 2x² - 9.5x + 6

If it is then translated 3 units in the positive y, we add 3 to the input function to get:

$y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9$

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

$y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18$

iii) reflected across the x-axis

we multiply the parent function by –1, to get a reflection about the x-axis.

$y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18$

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3 years ago

Consider a line whose slope is 6 and which passes through the point (8.–2).

Zolol [24]

Answer:

$y=6(x-8)-2\qquad\text{point-slope form}$

$y=6x-50\qquad\text{slope-intercept form}$

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

$y=m(x-xo)+yo$

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

$y=mx+b$

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

$\boxed{y=6(x-8)-2\qquad\text{point-slope form}}$