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4 years ago

Solve system by substitutition or elimination. 9x-8x=9 -18x+16y=-18

Mathematics

1 answer:

alina1380 [7]4 years ago

4 0

Answer:

1. 9x-8y=9

2. -18x+16y= -18 ⇒ -9x+8y= -9 ⇒ 9x-8y=9

as we see both equations are same, it means the lines overlap and there is infinite number of solutions

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Need help for 16) and 19) Solve each equation and check. Show all work please

Paladinen [302]

Step-by-step explanation:

You said the other one would be the last haha just kidding I'm glad to help.

16. $\frac{k}{2}=(-5)^2$

First, get rid of that parenthesis.

$\frac{k}{2}=25$

Now multiply both sides by 2 so that you can isolate k

$2(\frac{k}{2})=25*2$

$k=50$

19. $\frac{r}{3}=\frac{121}{11}$

This is a pretty easy one. If you didn't know, 121/11 is actually 11 :)

$\frac{r}{3}=11$

Simply multiply by 3 to isolate r :)

$3(\frac{r}{3})=11*3$

$r=33$

4 0

3 years ago

Read 2 more answers

If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?

Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

$g(x)=4x^2-16$

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it $h(x)$ ) will be:

$h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17$

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

$(0,-16)$

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

$New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)$

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0

3 years ago

Which set of data contains two outliers?

wariber [46]

Answer:

D: 101, 135, 131, 99, 138, 136, 140

Step-by-step explanation:

edg2020 (do not get this confused with the question: "which set contains no outliers"

4 0

3 years ago

Read 2 more answers

Calculating a correlation can help describe a relation between two quantitative variables' ___ and ___ . However, it is not suff

Fittoniya [83]

Answer:

<u>direction</u>

<u>shape</u>

<u>scatter plots</u>

<u>shape and outliers</u>

Step-by-step explanation:

Correlation is defined as the degree of correspondence between two variables.

When the values increase together, correlation is positive and when one value decreases as the other increases, correlation is negative .

Calculating a correlation can help describe a relation between two quantitative variables' <u>direction</u> and <u>shape</u>. However, it is not sufficient to use a correlation coefficient to describe two variables. The addition of <u>scatter plots</u> can provide other helpful details such as <u>shape and outliers</u>

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3 years ago

Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters?

In-s [12.5K]

Answer:

b. 12 000 mm

Step-by-step explanation:

multiply by 1 000

5 0

3 years ago