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oksano4ka [1.4K]
3 years ago
15

6. f(x) = x ^ 2 + 2x g(x) = 3x ^ 2 - 1

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

3x^2+1

Step-by-step explanation:

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Please answer thank you
Naddika [18.5K]

Answer:

<h2>45°</h2>

Step-by-step explanation:

they are opposite angles, same value of 45°

6 0
2 years ago
A) chaim used an invalid reason to justify the congruence of a pair of sides or angles.
Juliette [100K]

Answer:

C

Step-by-step explanation:

Side Side Angle does not exist.

6 0
3 years ago
Can someone help me?<br>I just downloaded this App, I need to submit this assignment at in 1 hour
Sati [7]
Use Pythagorean identity to find x value and solve using formulas

5 0
3 years ago
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
uysha [10]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

6 0
2 years ago
Hi I need to know the slope(m) before 11:00 I know the y-intercept(b) is -3
Alexxandr [17]

Answer:

slope is 2/3

Step-by-step explanation:

y=mx + b where m is the slope

6 0
2 years ago
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