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2 years ago

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Mathematics

1 answer:

Masja [62]2 years ago

6 0

I believe it’s The domain of the function is all real numbers less than or equal to -2

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Write the equation of the line in slope-intercept form. m=5/9 y-intercept (0,2) 2 The equation of the line in slope-intercept fo

aniked [119]

Answer:

y = (5/9)x + 2

Step-by-step explanation:

Slope intercept form is

y = mx + b then plug in the values

y = (5/9)x + 2

4 0

2 years ago

What two numbers multiply to get 25 and add to -10

SOVA2 [1]

$x;\ y-the\ numbers\\\\ \left\{\begin{array}{ccc}xy=25\\x+y=-10&\to x=-10-y\end{array}\right\\\\subtitute:\\(-10-y)y=25\\(-10)(y)-y(y)=25\\-10y-y^2=25\\-y^2-10y-25=0\ \ \ \ |change\ the\ signs\\y^2+10y+25=0\\y^2+5y+5y+25=0\\y(y+5)+5(y+5)=0\\(y+5)(y+5)=0\\(y+5)^2=0\iff y+5=0\to \boxed{y=-5}\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ x=-10-y\\x=-10-(-5)\\x=-10+5\\\boxed{x=-5}\\\\Answer:\boxed{-5\ and\ -5}$

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3 years ago

If f(x) = 2x² - 6x + 8, find f(a - 2).

yan [13]

Answer: f(a-2) = 2a² - 14a + 28

Step-by-step explanation:

f(x) = 2x² - 6x + 8

you can take a-2 and substitute it for each x, which would look like this:

f(a-2) = 2(a-2)² - 6(a-2) + 8

then distribute those in ( )

f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8

combine like terms

f(a-2) = 2a² - 14a + 28

7 0

2 years ago

Whats the distance between (-1,4) and (1,-5)

Bess [88]

Answer:

Step-by-step explanation:

8 0

3 years ago

If five times the successor of a number is added to an original number the sum is 83

Alexus [3.1K]

Answer:

Let the original number be x

Successor is defined as the number which comes immediately after a particular number.

also, the successor of a whole number is the number obtained by adding 1 to that number.

Then, the successor of a number x is, x+1

As per the given condition :

we have;

$5(x+1)+x =83$

Using distributive property on LHS (i.e, $a\cdot(b+c)=a\cdot b+a\cdot c$ )

Then, we have

5x+5+x=83

Combine like terms;

6x+5=83

Subtract 5 from both the sides we get;

6x+5-5=83-5

Simplify:

6x=78

Divide both side by 6,

$\frac{6x}{6} =\frac{78}{6}$

Simplify:

x =13

Therefore, the original number x is, 13

8 0

3 years ago