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3 years ago

Simplify 8 + 24 ÷ 23.

Mathematics

1 answer:

diamong [38]3 years ago

6 0

Answer:

9.043478261

Step-by-step explanation:

I hope this helps!

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If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)

kolezko [41]

Answer:

a) $(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

$(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

6 0

3 years ago

How many terms are in the expression 2x + 3y - 4z2x+3y−4z2, x, plus, 3, y, minus, 4, z?

Shalnov [3]

Ten as each term is the coefficient and the variables if one is listed for example 2x is one term. For ex as is -4z2x and the 3 etc.

7 0

4 years ago

Please help if you could. f/2 + 9 = 4 -9 -9 f/2 =

dmitriy555 [2]

Answer:

$\frac{f}{2} +9=4$

Subtract 9 from both sides:

$\frac{f}{2}+9-9=4-9$

$\frac{f}{2} =-5$

Multiply both sides by 2:

$2*\frac{f}{2} =-5*2$

$f=-10$

8 0

3 years ago

Directions: Find the product and simplify (3m+n)(3m-n) ty <3

KIM [24]

Answer:

9m²-n²

Step-by-step explanation:

(3m+n)(3m-n)

This is so easy algebraic expression.

Just rewrite as,

$(3m) {}^{2} - n {}^{2}$

Simplifying,

$9m {}^{2} - n {}^{2}$

[Alternate method is there]

8 0

2 years ago

Solve the following quadratic equation by using the quadratic formula.

Bas_tet [7]

Answer:

B. $\frac{-3}{4}$ ± $\frac{\sqrt{41} }{4}$

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

$x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}$

x= $\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}$

Solve for x.

x= $\frac{-3+-\sqrt{9+32} }{4}$

x= $\frac{-3+-\sqrt{41} }{4}$

The answer is x= $-\frac{3}{4}$ ± $\frac{\sqrt{41} }{4}$

6 0

3 years ago