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Studentka2010 [4]
3 years ago
11

What is the y-intercept of the graph of y = 3x^2 – 6x – 8? –8 –6 1 3

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

<span>y-intercept: set x=0 </span>

<span>y = 3(0)^2 - 6(0) - 8 </span>

<span>y = -8 </span>

<span>x-intercept: set y=0 </span>

<span>0 = 3x^2 - 6x - 8</span>
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While preparing for a morning conference, principal Corsetti is laying out 8 dozen bagels on square plates. Each plate can hold
timofeeve [1]

Answer:

Step-by-step explanation:

We have 8 dozen bagels, or 8*12=96 bagels.  Each plate can hold 14 bagels, so we have enough bagels to fill 96/14=about 6.86 plates.  However, we cannot have a fraction of a plate, so we round up to have a total of seven plates.  To fill all seven plates fully, 7*14=98 bagels would be needed, which is two more than we have.

To summarize, Mr. Corsetti has seven plates of bagels, and would need two more bagels to fill the last one up.

7 0
3 years ago
Bea's uncle said that if you subtract 15 from 3 times his age you would get 60. Be a wrote this equation: 3x- 15= 60. how old is
Gnom [1K]

Answer: Bea's uncle is 25 years old.

Step-by-step explanation:

Given the equation 3x- 15= 60, we can say that the<u> </u>variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":

We must add 15 to both sides of the equation:

3x- 15+(15)= 60+(15)\\3x=75

Now we need to divide both sides of the equation by 3:

\frac{3x}{3}=\frac{75}{3}\\\\x=25

Therefore, we can conclude that Bea's uncle is 25 years old.

3 0
3 years ago
Solve for x. Help me out because I haven’t been paying attention all year
svet-max [94.6K]

Answer:

x = 18

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x)6 = (8+10)* 8

6*(6+x) = 8(18)

Divide each side by 6

6+x = 8(18)/6

6+x = 8*3

6+x = 24

Subtract 6 from each side

6+x-6 =24-6

x = 18

8 0
3 years ago
Two parallel chords in a circle have lengths 10 and 14, and the distance between them is 6. The chord parallel to these chords a
Aloiza [94]

The value of a is 184. The above solution is derived using Pythagoras' theorem .

We let O be the center, A₁ A A₂ , B₁ B B₂ represent the chords with length 10, 14 respectively.

Connecting the endpoints of the chords with the center, we have several right triangles. However, we do not know whether the two chords are on the same side or different sides of the center of the circle.

By the Pythagorean Theorem on Δ OBB₁,

we get x^2 + 7^2 = r^2

x=\sqrt{r^{2}-49 }, where x is the length of the other leg. Now the length of the leg of Δ OAA₁ is either 6 + x or 6 - x depending whether or not A₁A₂, B₁B₂ are on the same side of the center of the circle:

6 \pm\sqrt{r^{2}-49 } +5^{2} =r^{2}

12\pm12\sqrt{r^{2}-49 }=0

Only the negative works here (thus the two chords are on opposite sides of the center), and solving we get x = 1, r = 5\sqrt{2}.

The leg formed in the right triangle with the third chord is 3 - x = 2, and by the Pythagorean Theorem again,

(\frac{a}{2} )^{2} +2^{2} =(5\sqrt{2} )^{2}

⇒ \sqrt{a} =2\sqrt{46}

a = 184

Hence,

The value of a is 184.

Learn more about Pythagoras theorem from the given link

brainly.com/question/343682

#SPJ4

7 0
1 year ago
What is the slope of the function f(x)= 2x - 3?<br><br> 2<br><br> 3<br><br> -3<br><br> -2
frozen [14]
Answer: the slope is 2
8 0
3 years ago
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