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____ [38]
3 years ago
7

Write an equation for the parabolla

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

well, is noteworthy that an x-intercept is when y = 0 or namely is a solution or root of the quadratic, so we know then that the x-intercepts or solutions are at (-1,0) and (3,0), that simply means that

\bf (\stackrel{x}{-1},\stackrel{y}{0})\qquad (\stackrel{x}{3},\stackrel{y}{0})\qquad \begin{cases} x = -1\\ x+1=0\\ \cline{1-1} x=3\\ x-3=0 \end{cases}~\hfill \implies ~\hfill \stackrel{\textit{equation of the parabola}}{y = a(x+1)(x-3)} \\\\\\ \textit{we also know that } \begin{cases} x = 1\\ y = -8 \end{cases}\implies \underline{-8}=a(\underline{1}+1)(\underline{1}-3)

\bf -8=a(2)(-2)\implies -8=-4a\implies \cfrac{-8}{-4}=a\implies \boxed{2=a} \\\\[-0.35em] ~\dotfill\\\\ y=2(x+1)(x-3)\implies y=2(\stackrel{\mathbb{FOIL}}{x^2-2x-3})\implies y=2x^2-4x-6

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Circle O has a circumference of approximately 44 in.
julsineya [31]

Answer:

Circumference = 3.1415 (pi) x diameter

44 = 3.1414 x diameter

Diameter = 14.006 or 14 (approximately)

Hope this helped : )

4 0
3 years ago
Solve for r. You must write your answer in fully simplified form.<br> -20 = -15r
nevsk [136]

Answer:

r = 4/3

Step-by-step explanation:

-20 = -15r

Divide both sides by -15.

-20 / -15 = r

The negatives cancel, so

20 / 15 = r

Simplify by taking 5 out of the numerator and denominator. 20/5 = 4, 15/5 = 3.

4 / 3 = r

<u>So r = 4/3.</u>

4 0
3 years ago
Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian
Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Step-by-step explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

\frac{3}{4}=0.75

So,

0

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

6 0
3 years ago
Help on these 2 please!!
gladu [14]
Hope this helps
7 \frac{1}{5}  - 2 \frac{3}{5}  =  \frac{36}{5}  -  \frac{13}{5}  =  \frac{23}{5}  = 4 \frac{3}{5}

8 \frac{2}{5}  - 4 \frac{3}{5}  =  \frac{42}{5}  -  \frac{23}{5}  =  \frac{19}{5}  = 3 \frac{4}{5}
good luck
6 0
3 years ago
A racquetball club charges $10 for a one-month trial membership. After the trail month, the regular membership fee is $12 per mo
Furkat [3]
Membership is discounted $2 for first month
c=cost of one month
d=discount=$2
x=# of months
xc - 2= total cost
x for 1 month is 1, c is always 12, -2 is constant
1 x(12) - 2=10 for first month
8 months
8c -2=total cost for 8 months
8 x 12 - 2= 94 for 8 months

5 0
3 years ago
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