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Ivan
2 years ago
13

Six less than the product of four and a number x. Can someone Help PLS ​

Mathematics
1 answer:
Ann [662]2 years ago
3 0

Answer:

4x - 6

Step-by-step explanation:

6 less is -6

product of four and a number x is 4x

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A police car drives with a constant speed of 50 miles per hour. How long will it take to travel a distance of 175 miles?
Evgen [1.6K]

Answer:

It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.

Step-by-step explanation:

If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula

d = r*t

Where d is the distance traveled in miles

r is the rate of speed in miles/ hour, and

t is the time in hours

d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have

175 miles = (50 miles/hour) * t         Divide both sides by 50 miles/hour

Our miles unit will cancel out, leaving us with

3.5 hours = t


3 0
3 years ago
What is the resluf of convertig 14 inches into centimeters? Remember that 1 inch =2.54 centimeters.
stich3 [128]

multiply 14 x 2.54

14 x 2.54 = 35.56 centimeters

6 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv
ch4aika [34]

Answer:

Part 1) The function of the First graph is f(x)=(x-3)(x+1)

Part 2) The function of the Second graph is f(x)=-2(x-1)(x+3)

Part 3) The function of the Third graph is f(x)=0.5(x-6)(x+2)

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

f(x)=a(x-c)(x-d)

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

f(x)=a(x-3)(x+1)

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

-4=a(1-3)(1+1)

-4=a(-2)(2)

a=1

therefore

The function is equal to

f(x)=(x-3)(x+1)

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

f(x)=a(x-1)(x+3)

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

8=a(-1-1)(-1+3)

8=a(-2)(2)

a=-2

therefore

The function is equal to

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

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

f(x)=a(x-6)(x+2)

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

-8=a(2-6)(2+2)

-8=a(-4)(4)

a=0.5

therefore

The function is equal to

f(x)=0.5(x-6)(x+2)

3 0
3 years ago
Question in image. :)
quester [9]

a. f(a) =5a+12

we have 1. a=6

Therefore, where ever we find a we'll substitute in 6

f(6) =5(6) +12

6f=30+12

6f=42

so therefore 1. a=6 will match c on the right

2. a=2

f(2) =5(2) +12

2f = 10+12

2f = 22

therefore 2. a=2 will match a on the right

3. a=4

f(4) =5(4) +12

4f=20+12

4f=32

therefore 3. a=4 will match d on the right

4. a=5

f(5) =5(5) +12

5f=25+12

5f=37

therefore 4. a=5 will match b on the right

7 0
3 years ago
If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?
Paul [167]

Answer:

Step-by-step explanation:

Conditions

  • A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
  • The diameter meets the sidewalk at the sidewalk's midpoint.
  • The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
  • The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
  • If all these conditions are met, the relationship between the four lines is

Equation

48/12 = x^2

Solution

4 = x^2

sqrt(x^2) = sqrt(4)

x  = 2

The length of the sidewalk is 4. Why is it doubled.

Because there are 2 xs of equal length

8 0
3 years ago
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