Please help with 4. And 5

X=3y-11, 4x-3y=-26 Substitution

Bad White [126]

=3y-11, 4x-3y=-26 Substitution

3 0

3 years ago

The table shows a linear function. <br><br> Which equation represents the function.

mote1985 [20]

Answer:

$\large\boxed{f(x)=\dfrac{3}{2}x-1}$

Step-by-step explanation:

$\text{The slope-intercept formula:}\\\\y=mx+b\\\\m\ -\ slope\\b\ -\ y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we hve two points (0, -1) and (2, 2). Substitute:}\\\\m=\dfrac{2-(-1)}{2-0}=\dfrac{3}{2}$

$\text{Therefore the equation is}\ f(x)=\dfrac{3}{2}x-1\\\\\text{Check for the point (4, 5):}\\\\f(4)=\dfrac{3}{2}(4)-1=(3)(2)-1=6-1=5\qquad\ CORRECT$

7 0

3 years ago

a week before election day, 276 out of 450 people said they would vote for the republican candidate. if 15,240 registered voters

Ann [662]

Answer:

(a) $\frac {276}{450}=\frac {y}{15240}$

(b) We cross multiply the probability by the total voters

(c) 9347

Step-by-step explanation:

(a)

Probability of getting a republican voter is

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}$

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}=\frac {y}{15240}$

These are found by dividing the first numerator and denominator by 2, then by 3

To make it complete, the situation is therefore defined as $\frac {276}{450}=\frac {y}{15240}$ where y is unknown value

(b)

Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.

(c)

Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

$\frac {46}{75}\times 15240=9347.2\approx 9347$

5 0

3 years ago

A lighthouse sights a boat. The angle of depression from the top of the lighthouse to the boat is 7 degrees. At this time, the h

koban [17]

Answer:

Step-by-step explanation:

tan7=h/820

h=820tan7

h=101m

3 0

2 years ago

Read 2 more answers

There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that

OleMash [197]

Answer:

The correct option is A. 14%

Step-by-step explanation:

There is a 70% chance of rain tomorrow

⇒ The probability that it will rain tomorrow = 0.7

There is a 20% chance that the volleyball game will be postponed

⇒ The probability that the volleyball game will be postponed = 0.2

Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%

Thus, the correct option is A. 14%

6 0

3 years ago