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3 years ago

Let u = <-6, 3>, v = <1, 9>. Find u - v. (5 points)

Mathematics

2 answers:

jeyben [28]3 years ago

8 0

Answer:

u - v = <-7, -6>

Step-by-step explanation:

<-6,3> <1,9>

To get the result you just subtract the components of v from the components of u

<-6 - 1, 3 - 9>

<-7, -6>

Evgesh-ka [11]3 years ago

5 0

Answer:

u - v = <-7, -6>

Step-by-step explanation:

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Please help with how I am supposed to do this. D:

kakasveta [241]

Create an inequality:

17+2x>25

(x is the number of goldfish he bought)

Simplify:

2x>8

x>4

Graph is by making a point on the line at 4 with an open circle and include the numbers larger than it (to the right of 4 on the line)

5 0

3 years ago

A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi

Rainbow [258]

Answer:

$85 \le \frac{75 + 97 + n}{3} \le 90$ ; $83 \le n \le 98$

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: $\frac{75 + 97 + n}{3}$ .

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

$85 \le \frac{75 + 97 + n}{3} \le 90$

Solve for n in each statement that makes up the compound inequality:

$85 \le \frac{75 + 97 + n}{3}$

$85 \le \frac{172 + n}{3}$

Multiply both sides by 3

$85*3 \le 172 + n$

$255 \le 172 + n$

Subtract 172 from each side of the inequality

$255 - 172 \le n$

$83 \le n$

Also,

$\frac{75 + 97 + n}{3} \le 90$

$\frac{172 + n}{3} \le 90$

Multiply both sides by 3

$172 + n \le 90*3$

$172 + n \le 270$

Subtract 172 from both sides of the inequality

$n \le 270 - 172$

$n \le 98$

Combining both together, the possible values of her third quiz score would be:

$83 \le n \le 98$

3 0

2 years ago

G-GPE-S & G-GPE-7: Practice_2

mezya [45]

The required equation is y = -9

Step-by-step explanation:

Step 1 :

Given the line l is perpendicular to the y axis

The equation of the y axis is x = 0

So any line perpendicular to the y axis will have equation as y = k , where k is a constant value for any value of x

Step 2 :

Its given that the line is passing through the point (0.-9). Here the y co ordinate is -9. Hence the perpendicular line has a constant y co ordinate of y = -9 for any value of x

So the required equation is y = -9

Step 3 :

Answer :

The required equation is y = -9

6 0

3 years ago

A town has a population of 2000 and grows at 4.5% every year. What will be the

goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

$F=P(1+r)^t$

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

we can plug the numbers into the formula and solve for F:

$F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4$

rounded to the nearest whole number, the population after 13 years would be 3544

3 0

3 years ago

Read 2 more answers

A line passes through the points (3,5) and (2,0) what is the slope of the line?

Veronika [31]

Answer:

Step-by-step explanation:

slope = (difference in y)/(difference in x)

subtract the y-coordinates: 5 - 0 = 5

subtract the x-coordinates in the same order: 3 - 2 = 1

Divide the difference in y by the difference in x.

slope = 5/1 = 5

4 0

3 years ago