All categories

1 year ago

Which equation represents the graphed function? Submit

Mathematics

1 answer:

OverLord2011 [107]1 year ago

3 0

3/2x - 3 = y

using y = mx + b, where m is slope and b is the y intercept, we can eliminate the top two answers by finding the y intercept at -3.

You can find the slope of the graph by using any given point and then calculating rise over run. In this case, the rise is 1.5, and the run is 1, which equates to 3/2

b = -3

m = 3/2

You might be interested in

The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find<br> b.

inna [77]

Given that the difference between the roots of the equation $3x^2+bx+10=0$ is $4 \frac{1}{3} = \frac{13}{3}$ .

Recall that the sum of roots of a quadratic equation is given by $- \frac{b}{a}$ .

Let the two roots of the equation be $\alpha$ and $\alpha + \frac{13}{3}$ , then

$\alpha + \alpha + \frac{13}{3} =2 \alpha + \frac{13}{3} =- \frac{b}{a} =- \frac{b}{3} \\ \\ i.e.\ \ 2 \alpha + \frac{13}{3}=- \frac{b}{3}$ . . . (1)

Also recall that the product of the two roots of a quadratic equation is given by $\frac{c}{a}$ , thus:

$\alpha \left( \alpha + \frac{13}{3} \right)= \alpha ^2+ \frac{13}{3} \alpha = \frac{c}{a} = \frac{10}{3} \\ \\ i.e.\ \ \alpha ^2+ \frac{13}{3} \alpha=\frac{10}{3}$ . . . (2)

From (1), we have:

$2 \alpha =- \frac{b}{3} - \frac{13}{3} \\ \\ \Rightarrow \alpha =- \frac{b}{6} - \frac{13}{6}$

Substituting for alpha into (2), gives:

$\left(- \frac{b}{6} - \frac{13}{6}\right)^2+ \frac{13}{3} \left(- \frac{b}{6} - \frac{13}{6}\right)= \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} + \frac{13b}{18} + \frac{169}{36} - \frac{13b}{18} - \frac{169}{18} = \frac{10}{3} \\ \\ \Rightarrow \frac{b^2}{36} - \frac{289}{36} =0 \\ \\ \Rightarrow \frac{b^2}{36} = \frac{289}{36} \\ \\ \Rightarrow b^2=289 \\ \\ \Rightarrow b=\pm\sqrt{289}=\pm17$

5 0

3 years ago

Which of these is a point-slope equation of the line that is perpendicular to y-25 = 2(x - 10) and passes through (-3, 7)?

nydimaria [60]

Answer:

B. y-7 = 1/2(x+3)

Step-by-step explanation:

The coordinates in the question must be inverted (so -3 would become +3 and +7 would become -7)

We know that the line would be perpendicular when (x+3) is preceded by -2

You can double check this by going to a website that graphs equations and overlapping the lines.

5 0

3 years ago

The drama club is selling candles for a fundraiser. They spend $100 on the candles and sell them for $4.50 each. How many candle

seropon [69]

So I try to help

Step-by-step explanation:

I don't no sorrry

5 0

2 years ago

A woman bought a coat for $99.95 and some gloves for $7.95. If the sales tax was 7%, how much did the purchase cost her? (Round

FrozenT [24]

Answer: $115.5

Step-by-step explanation:

The woman bought a coat for $99.95 and some gloves for $7.95. This means that the total amount of money that the woman would have paid for the coat without tax is

99. 95 + 7.95 = $107.9

If the sales tax was 7%, then the amount paid as sales tax would be

7/100 × 107.9 = 0.07 × 107.9 = $7.553

Therefore, the amount that she would pay to purchase the coat and the gloves is

107.9 + 7.553 = 115.453

= $115.5 rounded up to the nearest cent.

3 0

2 years ago

Read 2 more answers

Can you help Jorge organize the results into a two-way frequency table? Please answer this ASAP

Juliette [100K]

Answer:

The table is attached!

Step-by-step explanation:

6 students play both musical instrument and a sport
3 students play neither a musical instrument nor a sport
14 students in total play a sport

Given: There are 24 students in the class

The number of students that does not play a sport is 24 - 14 = 10

The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8

The frequency table thus is attached below:

6 0

3 years ago