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Citrus2011 [14]

3 years ago

5

Aaron designed a robot for a contest. His robot can move 3/4 feet in 1/2 second. What is the robot’s unit rate of speed in miles

per hour?

1 answer:

Katena32 [7]3 years ago

8 0

Answer:

1.02272727... mi per hr

Step-by-step explanation:

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Which of the following statements are true regarding functions?<br><br> Check all that apply.

Alex

Answer:

The horizontal line test may be used to determine whether a function is one-to-one.
The vertical line test may be used to determine whether a relation is a function.

Step-by-step explanation:

3 0

1 year ago

Mr. Johnson has 4 daughters. Each of his daughters has a brother. How many children does mr. Johnson have?.

777dan777 [17]

Answer:

5

Step-by-step explanation:

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5 0

2 years ago

A=1/4 and b=6.<br><br> −8ab=

podryga [215]

Answer:

When $a=\frac{1}{4}$ and $b=6$ :

$-8ab=-12$

Step-by-step explanation:

-8ab can be seen as -8×a×b. Insert the given values:

$-8*\frac{1}{4} *6$

Simplify multiplication from left to right:

$-8*\frac{1}{4} \\\\\frac{-8}{1} *\frac{1}{4} =\frac{-8}{4} =-2$

Insert and solve:

$-2*6=-12$

:Done

3 0

3 years ago

Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

6 0

3 years ago

Which expressions are equivalent to 2(b+3c)?

Rina8888 [55]

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

$2(b+3c)$

Distribute the number 2

$2(b+3c)=2b+2(3c)=2b+6c$

Verify each case

case A) 3(b+2c)

distribute the number 3

$3(b+2c)=3b+3(2c)=3b+6c$

$3b+6c \neq 2b+6c$

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

$b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c$

$2b+6c= 2b+6c$

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

$2(b)+2(3c)=2b+6c$

$2b+6c= 2b+6c$

therefore

Choice C is equivalent to the given expression

6 0

3 years ago

Read 2 more answers