Hanks pickup can travel 52 miles on 4 gallons of gas. How many gallons will habh pickup need to travel 26 miles?

Naya [18.7K]

Okay so first off the equation of a line is
Y=mx+b
m= the slope
b= the y intercept

The Y intercept of this line is 2 and the slope is 5/3! You know this is the slope because if you start at point a and go up 5 and to the right 3, you end up at point b.

The equation for this line would be y=5/3x+2

6 0

2 years ago

32

Naddik [55]

Answer:

A

Step-by-step explanation:

Samantha already took up an appointment time slot, and the two people can't be at the appointment at the same time, so it should be A.

7 0

2 years ago

Anyone can help me solve this equation using cross multiplying

Natali5045456 [20]

9514 1404 393

Answer:

x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)$

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

$3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}$

_____

Comment on "cross multiply"

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes what the result looks like. It doesn't adequately describe how you get there. The one and only rule in solving Algebra problems is "whatever is done to one side of the equation must also be done to the other side of the equation." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "multiply by the product of the denominators and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}$

8 0

2 years ago

What's the answer

SVEN [57.7K]

a) We kindly invite to check the image attached below to see a detailed graph of the piecewise function.

b) The piecewise function is continuous.

<h3>How to understand a piecewise function</h3>

A piecewise function is a conditional combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The piecewise function described in the question is plotted on a graphing tool (i.e. Desmos), whose result is presented in the image attached below.

b) A function is continuous if and only if there is one value from range for every value of domain. The piecewise function is continuous as linear functions are continuous and the two functions of the conditional combination have the same value for x = 30.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

7 0

2 years ago

What percent of 56 is 14?

Marysya12 [62]

Answer:

25 percent

Step-by-step explanation:

Of means multiply and is means equals

P * 56 = 14

Divide each side by 56

P = 14/56

P = .25

To change to a percent, multiply by 100

P = 25 percent

4 0

3 years ago

Read 2 more answers