A cab company charges $4 per cab ride, plus an additional $1 per mile driven. How long is

If a number is multiplied by 7 and this product is increased by 7 the result is 1 less than 9 times the number. What is the numb

Damm [24]

A) x * 7 = y

B) y + 7 +1 = 9x

A) x = y / 7
Substituting this into B)

B) y + 8 = 9(y/7)

Multiplying both sides by 7

B) 7y + 56 = 9y

2 y = 56

y = 28
x = 4

***************************************************
Double Check
4 * 7 = 28 + 7 = 35
9*x = 36

8 0

4 years ago

What is the difference in price per kg between chicken sold at $23.24/kg and turkey sold at $5.17/250 g?

Fed [463]

There are 1000 grams in 1 KILOgram.

therefore in 23.24/kg can be just written using grams as 23.24/1000, since 1kg = 1000 g.

so the price of the chicken per gram is then 23.24/1000 or $0.02324 per gram, roughly 2 and 1/3 pennies per gram.

and the turkey is 5.17/250 in grams already, that gives us $0.02068 per gram, which is roughly 2 pennies.

well, their price difference is 0.02324 - 0.02068, which is 0.00256 per gram unit.

since we know there are 1000 grams in 1 Kg, how much is that for 1000 grams or a Kg? 0.00256 * 1000 or $2.56.

8 0

3 years ago

Enter the correct answer in the box. Consider the graph of the sixth-degree polynomial function f. Replace the values b, c, and

AVprozaik [17]

Answer: (x - 1)(x + 1)^2(x - 4)^3

Step-by-step explanation:

First, remember that:

in expressions like: (x - b)^n

b is the value of x where the graph intersects the x-axis.

n can represent:

n = 1, the line just goes through the x-axis

n = 2, the line may change the direction (an inflection point), and touch the x-axis in one point.

n = 3, the line may have two inflection points when it intersects the x-axis.

Then we have the expression:

(x-b)(x-c)^2(x-d)^3

b is in the linear part, the graph crosses the x-axis linearly in x = 1.

c is in the quadratic part, the graph crosses the x-axis with one point of inflection at x = -1.

d is in the cubic part, the graph crosses the x-axis with two inflections in x = 4.

Then we can writhe the polynomial as:

f(x) = (x-1)(x-(-1))^2(x-4)^3 = (x - 1)(x + 1)^2(x - 4)^3

4 0

3 years ago

What is the equation of the line described below written in slope-intercept form? The line passing through point (0,0) and paral

artcher [175]

Answer:

$y = - \frac{ 3}{2} x$

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.

3x +2y -6= 0

2y= -3x +6

Dividing by 2 throughout:

$y = - \frac{3}{2} x + 3$

Thus gradient of given line= $- \frac{3}{2}$

Parallel lines have the same gradient.

Thus gradient of line= $- \frac{3}{2}$

Subst. m= $- \frac{3}{2}$ into the equation:

$y = - \frac{3}{2}x + c$

To find c, substitute a pair of coordinates.

When x=0, y=0,

$0 = - \frac{3}{2} (0) + c \\ c = 0$

Thus, the equation of the line is $y = - \frac{3}{2} x$ .

5 0

3 years ago

Hazel plans to mow her neighbors' yards to earn money. she charges a base fee of $25 and $7 for every hour she mows. the amount

bogdanovich [222]

The function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

<h3>What is a linear function?</h3>

The term linear function refers to a function that yields a straight line graph when it is plotted. Now we know that a linear function would not contain an exponent that is greater than one.

In this case, we know that the question states that she charges a base fee of $25 and $7 for every hour she mows thus the function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

Learn more about linear function:brainly.com/question/21107621

#SPJ4

7 0

1 year ago

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