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BARSIC [14]
3 years ago
15

The vertex of this parabola is at (3, -2). When the x-value is 4, the y-value is 3. What is the coefficient of the squared expre

ssion in the parabola's equation?
Mathematics
2 answers:
user100 [1]3 years ago
5 0
Hello :
<span>the parabola's equation is : f(x) = a(x-3)²-2
</span><span>the coefficient of the squared expression in the parabola's equation is : a
but ; f(4) = 3
3 = a(4-3)²-2
a-2=3.....a=5
f(x) = 5(x-3)²-2</span>
neonofarm [45]3 years ago
3 0

Answer:

5

Step-by-step explanation:

I answered the question and got it right

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A triangle has an area of 38.4 cm2. The
lisov135 [29]

Answer:

6cm

Step-by-step explanation:

A = \frac{h_b b}{2}

38.4 = \frac{12.8_b b}{2}

b = 2\frac{A}{h_b}

b = 2\frac{38.4}{12.8} = 6

8 0
3 years ago
What is your sister’s total cost under each of the two plans?2. Suppose your sister doubles her monthly usage to 3,500 minutes a
chubhunter [2.5K]

Answer:

(1) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$515</u>.

(2) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$1,030</u>.

Step-by-step explanation:

<u><em>The question is incomplete, so the complete question is below:</em></u>

A\ cell \ phone \ company\  offers\  two \ different \ plans.

Plan\ A\ costs\ \$92\ per\ month\ for\ unlimited\ talk\ and\ text.\ Plan\ B\ costs \ $0.20\ per\ minute\ plus\ \$0.10\ per\ text\ message\ sent.You\  need \  to\   purchase \  a \  plan \  for\   your \  14-year-old \  sister.Your\  sister\  currently \ uses\  1,750 \ minutes\  and \ sends\  1,650 \ texts\  each \ month.(1) What\  is\   your \  sister's\   total\   cost\   under \  each\   of\   the\   two\   plans?

(2) Suppose\  your\  sister\  doubles\  her\  monthly\  usage \ to\  3,500\  minutes \ and\  sends\  3,300 \ texts.What \ is \  your  \ sister's \  total \  cost \  under \  each \  of  \ the \  two \  plans?

Now, to find (1) total cost for each of the two plans. (2) Total cost under each of the two plans, if sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.

<h3>(1) </h3>

As, the Plan A is for unlimited talk and text

Cost of the Plan A = $92.

<u><em>Now, to find the cost under Plan B:</em></u>

According to question:

Rate of call per minute is $0.20 and per text is $0.10.

Calls she uses currently is 1,750 minutes and text 1,650.

<u><em>So, to get the cost of Plan B:</em></u>

0.20\times 1750+0.10\times 1650

=350+165

=515.

Thus, Plan B costs $515.

<h3>(2)</h3>

<u><em>Now, to get the total cost as, sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.</em></u>

As, the Plan A is same in both cases and is for unlimited text and calls.

So, cost of Plan A = $92.

As, the monthly usage is double.

Calls in minutes are 3,500.

Texts are 3,300.

<u><em>Now, to get the total cost under Plan B:</em></u>

0.20\times 3500+0.10\times 3300

=700+330

=1030.

Hence, the cost of Plan B = $1,030.

Therefore, (1) The total cost under Plan A is $92 and the total cost under Plan B is $515.

(2) The total cost under Plan A is $92 and the total cost under Plan B is $1,030.

7 0
3 years ago
Find the equation, in standard form, of the linebpasing through the points (5,1) and (-2,3).
svet-max [94.6K]

Step-by-step explanation:

=(y-y1)=Y2-Y1/X2-X1(X-X1)

6 0
3 years ago
Read 2 more answers
Which of the following is the equation of a line that has a slope of -2 and passes through the
UkoKoshka [18]

Answer:

ehhehrjrh4h4hehejejru4u4u

6 0
3 years ago
Help Please! (8th Grade Math) :)
Yanka [14]

Answer:

c = 75 in

Step-by-step explanation:

The hypotenuse of a right triangle is found by the Pythagorean theorem:

<em>a² + b² = c²</em> (a and b are the legs, c is the hypotenuse)

Plug in: <em>45² + 60² = c²</em>

Square + square root: √(2025 + 3600) = c

Add: √5625 = c

Square root: 75 in = c (no negatives because we are finding distance)

6 0
3 years ago
Read 2 more answers
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