HELP PLEASE!

Mathematics

1 answer:

butalik [34]3 years ago

3 0

Just took the test and got the the correct answer *\(♡°▽°♡)/* Look at the image down below!!

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If -a=6 and x=-3... then what is -a+4x

soldier1979 [14.2K]

6+(-3x4)
6+ -12
6-12
-6

6 0

3 years ago

If you bike for 60 kilometers at 30 kilometers per hour and return at 20 kilometers per hour, what is the average speed for the

matrenka [14]

V1=30km/hr
v2=20km/hr
v=2v1v2/(v1+v2)
=2*30*20/(30+20)
=24km/hr

8 0

3 years ago

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Alain th

Naya [18.7K]

For this case we have the following function:
$h (x) = - 5x ^ 2 + 10x + 15
$
By the time the stone is thrown, x = 0.
We must evaluate this value of x in the function.
We have then:
$h (0) = - 5 (0) ^ 2 + 10 (0) +15

h (0) = 0 + 0 + 15

h (0) = 15 meters$
Answer:
The height of the stone at the time is thrown is given by:
h (0) = 15 meters

4 0

3 years ago

Read 2 more answers

write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor or 2 o

Alenkinab [10]

$\bf f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}\\\\
f(x)=&{{ A}} \left|{{ B }}x+{{ C}} \right|+{{ D}}
\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see,

$\bf f(x)=|x| \implies \begin{array}{lllccll}
f(x)=&1|&1x&+0|&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

so, to shift it to the right by 2 units, simply set C = 2.
to stretch it by 2, set A = 1/2.

the smaller A is, the wider it opens, the larger it is, the more it shrinks.

5 0

3 years ago

Amber mother gives her $15and she saves $3 a week. The expression 15+3w gives the amount she saves after w weeks. How much money

Mariulka [41]

After 2 weeks:
15+3(2)=15+6= $21
After 5 weeks:
15+3(5)=15+15= $30
After 10 weeks:
15+3(10)=15+30= $45

Hope this helps

4 0

3 years ago

Read 2 more answers