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3 years ago

-2 + x < 5 What is the answer to this

Mathematics

2 answers:

erastova [34]3 years ago

8 0

Answer:

x < 7

Step-by-step explanation:

-2 + x < 5

+2 x < 5+2

x<7

mina [271]3 years ago

6 0

Answer:

anything lower than 6

explanation:

so that 5 will stay bigger

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Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?

algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.

Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.

Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.

So, the coordinates of the endpoint are $T = (5,-13)$

If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.

We have $G = (-3, 5)$ and $T = (x_T,y_T)$ . The midpoint is computed as

$A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)$

So, you have the equations

$\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4$

Multply both equations by 2 to get

$-3+x_T = 2,\qquad 5+y_T = -8$

Move the constants to the right hand sides to get

$x_T = 5,\qquad y_T = -13$

8 0

3 years ago

Luis makes a 4% commission on his sales ina sporting goods store. For a $70 purchase, how much commission does Luis earn?

tester [92]

2.86 commission i think

5 0

3 years ago

involving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total o

ivolga24 [154]

Answer:

1) The probability that the second apple is red is 0.7143 (71.43%).

2) The probability that at least one red apple is picked 0.9341 (93.41%).

Step-by-step explanation:

We can make a probability tree as the attached picture.

1) There are 2 ways in the probability tree when the second apple is red:

Both apples are red:

P(R∩R)= $\frac{10}{14}\frac{9}{13}$ =0.4945

Only the second apple is red:

P(Y∩R)= $\frac{4}{14}\frac{10}{13}$ =0.2198

The probability that the second apple is red is the sum of the previous probabilities.

P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143

2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.

The way in the probability tree is Y∩Y:

P(Y∩Y)= $\frac{4}{14} \frac{3}{13}$ =0.0659

P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341

8 0

4 years ago

Read 2 more answers

Using the transformation T: (x,y) —> (x+2, y+1), find the distance CB

pshichka [43]

Answer:

The distance between CB is $\sqrt[]{10}$

Step-by-step explanation:

Recall that the transformation T consists of a translation of 2 units to the right and 1 unit up. Then, T preserves distances(which means that it keeps distances between points the same as before applying the transformation). Then, distance CB is the sames as distance C'B'. We will use the distance formula: if we have points (x,y), (z,w) then the distance between them is given by

$\sqrt[]{(x-z)^2+(y-w)^2}$

In our case we have that C'=(0,3), B'=(3,4). Then, the distance between them is

$\sqrt[]{(3-0)^2+(4-3)^2}= \sqrt[]{10}$

5 0

3 years ago

HELP ASAP WITH THIS QUESTION

alexgriva [62]

Hey there (again)

$x = 2y \\ y = -2 \\ x = 2(-2) \\x= -4 \\ \\ \\ w + xy + 4x^2 = 2\\ w+-4(-2) + 3(-4)^2 = 2 \\ w + 8 + 3(16) = 2 \\ w + 8 + 48 = 2 \\ Subtract56: w + 56 =2 \\ 56 - 56 (Cancel) \\ 2 - 56 = -54 \\ w = -54$

Answer: $B$ the simplification performed in step 2 is invalid or incorrect

Good luck on your assignment and enjoy your day

~ $MeIsKaitlyn:)$

5 0

4 years ago