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3 years ago

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Mathematics

2 answers:

user100 [1]3 years ago

8 0

All multiples of 15 between 0 and 300,inclusive

How?

$\\ \sf\longmapsto f(x)=15x$

$\\ \sf\longmapsto f(0)=15(0)=0$

$\\ \sf\longmapsto f(20)=15(20)=300$

Hence.

$\\ \sf\longmapsto 0\leqslant R_f\leqslant 300$

aleksandr82 [10.1K]3 years ago

6 0

Answer:

All multiples of 15 between 0 and 300,inclusive

All multiples of 15 between 0 and 300,inclusiveHow?

⟼f(x)=15x

⟼f(0)=15(0)=0

⟼f(20)=15(20)=300

Hence,

⟼0⩽R f ⩽300.

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How does the graph of g(x) = 5x – 3 compare to the graph of f(x) = 5*?

Karo-lina-s [1.5K]

Answer:

the graph is shifted down 3 units

Step-by-step explanation:

5x-3

meaning the original graph of 5x going down three units

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3 years ago

Given a circle with a radius of 6, what the the length of an arc measuring 30 degrees

Mazyrski [523]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =30
\end{cases}\implies s=\cfrac{30\cdot \pi \cdot 6}{180}\implies s=\pi$

6 0

4 years ago

Jacob solves the system of equations by forming a matrix equation.

Lyrx [107]

Simultaneous equations can be solved using inverse matrix operation.

The complete steps of Jacob's solution are:

$\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]^{-1} \cdot \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14}\left[\begin{array}{cc}3&-1\\2&4\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

We have:

$4x + y = 2$

$-2x + 4y = -22$

Calculate the determinant of $\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

$|A| = 4 \times 3 -1 \times -2$

$|A| = 12 +2$

$|A| = 14$

So, the inverse matrix becomes

$A = \frac{1}{14}\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

Replace the first column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of x

$x = \frac{1}{14}\left[\begin{array}{cc}2&1\\-22&3\end{array}\right]$

So, we have:

$x = \frac{1}{14}(2 \times 3 - 1 \times -22)$

$x = \frac{1}{14}(6 +22)$

$x = \frac{1}{14}(28)$

$x = 2$

Replace the second column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of y

$y = \frac{1}{14}\left[\begin{array}{cc}4&2\\-2&-22\end{array}\right]$

So, we have:

$y = \frac{1}{14}(4 \times -22 - 2 \times -2)$

$y = \frac{1}{14}(-88 +4)$

$y = \frac{1}{14}(-84)$

$y = -6$

Hence, the complete process is:

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

Read more about matrices at:

brainly.com/question/11367104

6 0

3 years ago

Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project.in feet how much board was left?

guapka [62]

$\frac{5}{8} \text{ feet board is left }$

Solution:

Given that, Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project

To find: Board that was left

From given,

$\text{Total length of board } =\frac{7}{8} \text{ feet }$

$\text{Foot that was cut off } = \frac{1}{4} \text{ feet }$

Remaining feet of board is found by finding the difference between total length of board and foot that was cut off

$\text{Reamining board } = \text{Total length of board - feet of board that was cut off}\\$

Substituting the values we get,

$\text{Remaining board } = \frac{7}{8} - \frac{1}{4}\\\\\text{Remaining board } =\frac{7}{8} - \frac{1 \times 2}{4 \times 2}\\\\\text{Remaining board } =\frac{7}{8} -\frac{2}{8} = \frac{7-2}{8}\\\\\text{Remaining board } =\frac{5}{8}$

Thus $\frac{5}{8}$ feet board is left

5 0

3 years ago

Find the measure of the missing angles. need help ASAP

pochemuha

Sorry if it’s confusing i tried color coding it

the measure of angle 6 is 71.5 degrees

3 0

3 years ago