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valentinak56 [21]
3 years ago
14

A BMW car on a truck weighs 20 tons plus 1 ton per cubic yard of x cubic yards of spares that it carries. The total weight of a

truck with BMW is: f(x) = x + 20. How will the graph of this function change if the BMW weight is changed to 15 tons? The line will shift vertically up by 5 tons. The line will shift vertically up 15 tons. The line will shift vertically down by 5 tons. The line will shift vertically down by 15 tons.
Mathematics
2 answers:
Flauer [41]3 years ago
7 0
Using f(x) = x +20 the y -intercept = 20

 changing the weight to 15
 
makes the equation f(x) = x +15 , making the y intercept 15

 which moves the line vertically down by 5 ( 20-15=5)

<span>The line will shift vertically down by 5 tons.</span>


Ksenya-84 [330]3 years ago
6 0
The answer to your question would be The line will shift vertically down by 5 tons.
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a pool is leaking water at a constant rate. The amount of water in the pool changes by -1 1/4 every hour. what is the total chan
malfutka [58]

The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,

<h3>What are fractions?</h3>

A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.

<h3>What is the total change in the water?</h3>

The total change in the water = -1 1/4 x 2 1/2

= -5/4 x 5/2 = -25/8 = -3 1/8

To learn more about multiplication of fractions, please check: brainly.com/question/1114498

6 0
2 years ago
Two numbers that differ by 46
Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum


Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers


we know that

x-y=46\\ y=x-46-----> equation 1

P=x*y-----> equation 2


substitute equation 1 in equation 2

P=x*[x-46]\\ P=x^{2} -46x


using a graph tool

see the attached figure


Find the value of x for that the product P is a minimum

the vertex is the point (23,-529)

that means, for x=23

the product is a minimum P=-529


find the value of y

y=x-46\\ y=23-46\\ y=-23


therefore


the answer is

the numbers are 23 and -23

7 0
3 years ago
Read 2 more answers
To graduate this semester, you must pass Statistics 314; and you estimate that you have an 85% chance of passing. You need to pa
Nitella [24]

Answer:

Probability of graduating this semester is 0.7344

Step-by-step explanation:

Given the data in the question;

let A represent passing STAT-314

B represent passing at least in MATH-272 or MATH-444

M1 represent passing in MATH-272

M2 represent passing in MATH-444

C represent  passing GERMAN-32

now

P( A ) = 0.85, P( C ) = 90, P( M1 ) = P( M2 ) = 0.8

P( B ) = P( pass at least one of either MATH-272 or MATH-444 ) = P( pass in MATH-272 but not MATH-444 ) + ( pass in MATH-444 but not in MATH 272) + P( pass both )

P( B ) =  P( M1 ) × ( 1 - P( M2 ) ) + ( 1 - P( M1 ) ) × P( M2 ) + P( M1 ) × P( M2 )

we substitute

⇒ 0.8×0.2 + 0.2×0.8 + 0.8×0.8 = 0.16 + 0.16 + 0.64 = 0.96

∴ the probability of graduating this semester will be;

⇒ P( A ) × P( B ) × P( C )

we substitute

⇒ 0.85 × 0.96 × 90

⇒ 0.7344

Probability of graduating this semester is 0.7344

6 0
3 years ago
Ms. Solorio's small business had a profit of $460 on Monday. Write an integer to represent this profit.
zubka84 [21]
An interger may be +460 because profit means to increase. So the answer is +460.
~JZ
5 0
3 years ago
Read 2 more answers
Missing numbrr of unit rate for 32/8= ?/1
galina1969 [7]

Answer:

4/1

Step-by-step explanation:

8/8=1, so 32/8=4

3 0
3 years ago
Read 2 more answers
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