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yawa3891 [41]
3 years ago
12

What is the y-intercept of the graph of the function f(x) = x^2+3x+5

Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Plug x in as 0.

f(x)=0+0+5

f(x)=5

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Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
Carrie place is a 10 foot ladder against the wall if the ladder makes an angle of 65° with the level ground how far up the wall
natita [175]

Answer:

9......

Step-by-step explanation:

A right-angled triangle in the image below will be formed.

Now, we will make use of the trigonometric rule......

But before that, how do know the perfect rule to apply so as to solve the problem?

#. The side facing the angle 65 deg. is called the Opposite side

#. The side facing the angle 90 deg. is called the Hypotenuse

#. While the last side is called the Adjacent

Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule

Sine(θ)=Opposite/Hypotenuse

Therefore,

Sine 64 = Opposite/10

Opposite = 10 x sine64

Opposite = 10 x 0.9

Opposite = 9cm

6 0
3 years ago
Read 2 more answers
Which function is graphed? ​
Gennadij [26K]

Answer:

x-intercept=(-1,0) y-intercept =(0,-3)

Step-by-step explanation:

6 0
2 years ago
find two consecutive even numbers such that the sum of 3 times the smaller and 5 times the larger is 106​
VARVARA [1.3K]
To find that you would do (such that x is the unknown) 3x+5(x+2)=106
and if you do this you will find that x=12

so the two numbers you are looking for are 12 and 14
4 0
3 years ago
Simplify these expression 45m divide by 5 <br> 22t x 4s <br> 121x divide by 11<br> 12p x 12r
lara31 [8.8K]
45m/5 = 9m

22t·4s = 88st

121x/11 = 11x

12p·12r = 144pr

theses are too basic to really show work.


3 0
3 years ago
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