All categories

3 years ago

Find the y-intercept for f(x )= - (x+1)^2 A. -1 B. x C. 0 D. 1

Mathematics

2 answers:

Rainbow [258]3 years ago

6 0

The answer is negative one!

MAVERICK [17]3 years ago

5 0

Answer:

-1

Step-by-step explanation:

What's the x value of a point that's considered as the y-intercept? It's 0.

With that in mind, let's solve this by plugging 0 into the function

$f(0) = -(0+1)^2\\f(0) = -1$

Good luck!

You might be interested in

Find the sum of the following infinite geometric series, if it exists. 4+3.2+2.56+2.048+...

mel-nik [20]

14.848 might be not sure

3 0

3 years ago

Read 2 more answers

What is the perimeter of A’B’C’D’?

Sophie [7]

$\displaystyle\bf\\\textbf{At any translation of a quadrilateral the sides remain the same,}\\\\\textbf{the angles remain the same.}\\\\\textbf{It turns out that the quadrilateral remains the same.}\\\\P_{A'B'C'D'}=P_{ABCD}=AB+BC+CD+DA=\\\\~~~~~~~~~~~~~~=2.2+4.5+6.1+1.4=\boxed{\bf14.2}$

5 0

3 years ago

RSB [31]

Answer:

Step-by-step explanation:

3x² - 3x + 7 = 0

a = 3 ; b = -3 and c = 7

D = b² - 4ac = (-3)² - 4*3*7

D = 9 - 84 = - 75

D = 75i²

√D = √75i² = $\sqrt{5*5*3 * i * i}= 5i\sqrt{3}$

$x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i$

5 0

2 years ago

two telephone calls come into a switchboard at times that are uniformly distributed in a fixed one-hour period. assume that the

AleksandrR [38]

We wil assume a variable x to be the total number of calls received by the switchboard.

The question also says to assume that the calls were made independently.

Given:

Calls are independent.

Calls are uniformly distributed over a 1 hour period.

Ans (a). The calls are distributed uniformly over 1 hour, hence: (0, 1).

So we have,

f1(x1) = 1

f2(x2) = 1

X1 and X2 are considered to be independent of each other. Hence,

f(x1,x2) = f1 (x1) f2 (x2)

f(x1,x2) = 1 (1)

f(x1,x2) = 1

Thus,

P(X1 <= 0.5; X2 <= 0.5) = ∫0.50 ∫0.50 f(x1,x2) dx2 dx1

= ∫^0.5 0 ∫^0.5 0 (1) dx2 dx1

= ∫^0.5 0 (x2^0.5 0) dx1

= ∫^0.5 0 (0.5 - 0) dx1

= 0.5 ∫^0.5 0 dx1

= 0.5 (x1^0.5 0)

= 0.5 (0.5 - 0)

= 0.25

Therefore, the probability that the calls were received within the first 30 minutes or first half hour is 0.25.

Ans (b). Steps 1 and 2 are the same as the above answer.

Probability = [∫^11/12 0 ∫^x1 + 1/12 x1 1dx2 dx1] + [∫^1 1/12 ∫^x1 x1-1/12 1dx2 dx1

= [∫^11/12 0 (x2 ^x1+1/12 x1 dx1] + [∫^1 1/12 (x2 ^x1 x1-1/12 dx1)]

= [∫^11/12 0 (x1 + 1/12 -x1) dx1] + [∫^1 1/12 (x1 - x1 + 1/12) dx1]

= [(1 + x1/12 - 1) ^11/12 0] + [( 1 - 1 + x1/12) ^1 1/12]

= 11/144 + 11/144

= 0.1528

Therefore, the probability that the calls were received within five minutes of each other is 0.15.

#SPJ4

7 0

8 months ago

Some help please stuck on 4, 8, 9

bulgar [2K]

4:
a) if a cloud is a mid-level cloud, then it is between 6,500 and 20,000 feet.
b) if a cloud isn't a mid level cloud, then it is not between 6,500 and 20,000 feet. [I don't know if this statement is true]
8:
P=2l+2w
solve for w means to make the equation like w=... (get w on one side by itself).
First, subtract 2l from both sides
P-2l=2w
Now, divide both sides by 2
${P-2l}{2}$ = $W$
Done
9:
*The question is a bit wrong here; it should have said In the corner of the angle ABC there is a little square symbol - that means it is a 90 degree angle.
The angle ABC is broken up into angles ABD and DBC, so ABD and DBC add up to 90 degrees.
So, we can make the equation (2x + 10) + (x + 14) = 90
Then solve
Since it is all addition, the parentheses are unnecessary
2x + 10 + x + 14 = 90
Add all x terms together, and the numbers together
3x + 24 = 90
Subtract 24 from both sides
3x = 66
Divide both sides by 3
x = 22
Now, plug in this x value into the formulas for the two angles
ABD = 2(22) + 10 = 44+10 = 54 degrees
DBC = 22 + 14 = 36 degrees

6 0

3 years ago