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3 years ago

Ab + 5c - d if a = 3, b = 2, c = 7, and d = 4.

Mathematics

2 answers:

IrinaK [193]3 years ago

7 0

3x2=6
5x7=35
6+35-4=37

makvit [3.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

sub the numbers in the formula

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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

Solve 25/75+ 25/125=

iragen [17]

0.476 is the answer to this question.

5 0

3 years ago

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A cylinder has a height of 14 millimeters and a radius of 16 millimeters. What is its volume?

pantera1 [17]

Answer:

11253.76

Step-by-step explanation:

To find the volume of a cylinder we must utilise the volume of cylinder formula which is

→ Volume of cylinder = π × r² × h

Where 'r' is the radius and 'h' is the height so let's start substituting in the values,

→ Volume of cylinder = π × r² × h

⇒ Substitute in 3.14 for π, 14 for 'h' and 16 for 'r'

→ Volume of cylinder = 3.14 × 16² × 14

⇒ Simplify

→ Volume of cylinder = 11253.76

So a cylinder has a height of 14 millimetres and a radius of 16 millimetres has a volume of cylinder 11253.76 inches³

4 0

3 years ago

Help me please I have no idea how to do this

erica [24]

Answer:

Step-by-step explanation:

Complementary is 90 when added up and the other one is 180

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3 years ago

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Write a factored equation that has a solution set of {-12, 15}

Alexus [3.1K]

Answer:

(x+12)(x-15)

Step-by-step explanation:

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3 years ago