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Makovka662 [10]
3 years ago
10

A survey asked students to choose their favorite social networking website. The results are shown in the table.

Mathematics
1 answer:
katovenus [111]3 years ago
6 0
The answer is 27.5




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Given the function f(x)=(x+3)^2 and g(x)=3x+13 determine the x values of the point intersection
charle [14.2K]

Answer:

x = - 4, x = 1

Step-by-step explanation:

At the point of intersection

f(x) = g(x) , that is

(x + 3)² = 3x + 13 ← expand left side using FOIL

x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

3 0
2 years ago
Matthew invests $500 into an account with a 2.5% interest that is compounded quarterly. How much money will he have in this acco
Karo-lina-s [1.5K]

Answer:

$641.4

Step-by-step explanation:

500(1 + 0.025/4)⁴⁰

= 641.5134103

3 0
2 years ago
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Let f(x) = 2x+4. If f(x) = 16, find x.
jeyben [28]

f(x)=2x+4

And we are given that f(x)=16 and want to find the value of x. Set f(x) to 16 and we get the equation:

2x+4=16

Subtract both sides by 4

2x=12

Divide both sides by 2

x=6

This is the answer. Let me know if you need any clarifications, thanks!

8 0
3 years ago
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Question 4 (1 point)
Nimfa-mama [501]

Answer:

where is the diagram for the question?

8 0
2 years ago
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
Rama09 [41]

Check the picture below.

now, we have a triangle with all three sides, thus we can use Heron's Area Formula on the triangle.

\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=10\\ b=26.695\\ c=22\\ s=29.3475 \end{cases} \\\\\\ A=\sqrt{29.3475(29.3475-10)(29.3475-26.695)(29.3475-22)} \\\\\\ A=\sqrt{29.3475(19.3475)(2.6525)(7.3475)}\implies A\approx \sqrt{11066.007} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 105.195~\hfill

4 0
2 years ago
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