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3 years ago

Suppose that the function g is defined, for all real numbers, as follows.

Mathematics

1 answer:

lara [203]3 years ago

4 0

Answer:

5/2

Step-by-step explanation:

g(-3) falls under x<=-1 so substitute -3 on x

-1/2(-3)+1

3/2+1

5/2

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satela [25.4K]

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
y=a(x-(-4))^2-1\implies y=a(x+4)^2-1
\\\\\\
\textit{now, we also know that }
\begin{cases}
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3 years ago

Solve for X 3x - 2 = 8x - 32

Nataliya [291]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Solving steps and answer!

Studentka2010 [4]

Answer:

$h = 162.0\ cm$

Step-by-step explanation:

Given

$BSA = \frac{\sqrt{w*h}}{60}$

Required

Find h, when BSA = 1.5 and w = 50

We have:

$BSA = \frac{\sqrt{w*h}}{60}$

Substitute 1.5 for BSA and 50 for w

$1.5 = \frac{\sqrt{50*h}}{60}$

Multiply both sides by 60

$60*1.5 = \frac{\sqrt{50*h}}{60}*60$

$60*1.5 = \sqrt{50*h$

$90 = \sqrt{50*h$

Square both sides

$90^2 = (\sqrt{50*h})^2$

$90^2 = 50*h$

$90^2 = 50h$

$8100 = 50h$

Divide both sides by 50

$\frac{8100}{50} = \frac{50h}{50}$

$\frac{8100}{50} = h$

$162 = h$

$h = 162$

$h = 162.0\ cm$

<em>Hence, the patient's height is 162.0cm</em>

4 0

3 years ago

How many students are there in total?

Ksenya-84 [330]

Answer:

total of 36 students

Step-by-step explanation:

only Tennis = 2

only Football = 2

only Baseball = 4

Tennis/Football = 3

Football/Baseball = 14

Baseball/Tennis = 11

All = 6

add them all: 2 + 2 + 4 + 3 + 14 + 11 = 36

5 0

3 years ago

Find h(x) if it is known that h(x+5)=3x+18.

ser-zykov [4K]

$h(x+5)=3x+18\\\\h(x)=mx+b\to h(x+5)=m(x+5)+b=mx+5m+b\\\\\text{Therefore we have}\ m=3\ \text{and}\\\\5m+b=18\to5(3)+b=18\\\\15+b=18\qquad\text{subtract 15 from both sides}\\\\b=3\\\\Answer:\ \boxed{h(x)=3x+3}$

8 0

4 years ago