MATHEMATICS HIGH SCHOOL

PLS HELP !!!
a. 15
b. 1
c. 2
d. 11

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

ive had this exac problem before

Answer 2

Answer:

Answer:

B. 1

Step-by-step explanation:

Since the sides are equal to each other, the equations will be equal.

4x + 7 = x + 10

-7 -7

---------------------

4x= x + 3

-x -x

-------------

3x = 3

---- ---

3 3

x = 1

The answer is 1.

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A car travels 65 km in 45 minutes what is the average speed of the car in km/h

Answers

So to begin your problem, you know that your car already has an average which is 65km/45 mins. The problem wants you to change this to km/hr. This means that you need to convert minutes to hours. A simple way to do this is by using fractions.
Set your problem up with fractions similar to this:
65km/45 mins x 60 mins/1 hr.
the whole point is to cancel out your minutes, and leave the hours as your new unit for the denominator
65km/45 x 60/1 hr.
now you want to reduce (I divided the first fraction by 5)
13km/9 x 60/1 hr.
780km/9hrs.
That would be your answer. If someone can double check my math that would be fantastic.

65km in 45 min
1 hour=1h=60min
45/60=3/4
65km=3/4hour
multiply both sides by 4/3 to clear fraction
260/3=1 hour
86 2/3 =1 hour
aprox
86.666666666 km per hour

Find the value of x

Answers

Answer:

Ok i will answer you and help you but give me 20 mins to solve

Step-by-step explanation:

If 7 + 3x = 22, then 2x =

Answers

$7+3x=22\ \ \ /-7\n3x=15\ \ \ /:3\nx=5\n\n\n2x=2\cdot5=10$

Hey there!

7 + 3x = 22

3x + 7 = 22

SUBTRACT 7 to BOTH SIDES

3x + 7 - 7 = 22 - 7

CANCEL out3 7 - 7 because it give you 0

KEEP: 22 - 7 because it help solve for the x-value

NEW EQUATION: 3x = 22 - 7
SIMPLIFY IT!
3x = 15

DIVIDE 3 to BOTH SIDES

3x/3 = 15/3

CANCEL out3 3/3 because it give you 1

KEEP: 15/3 because it help solve for the x-value

NEW EQUATION: x = 15/3

SIMPLIFY IT!
x = 5

Therefore, the answer: x = 5

Now that we know what your x-value is.. we can substitute it in your next equation

= 2(5)

= 2 + 2 + 2 + 2 + 2

= 4 + 4 + 2

= 8 + 2

= 10

5 = 5

x = 5 ☑️

Therefore, your overall answer is: x = 5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

On what intervals is the graph of f(x)=x^3-2x^2+5x+1 increasing?On what intervals is the graph of f(x)=0.5x^2-6 decreasing?

On what intervals is the graph of f(x)= $(x+1)/(x-1)$ increasing?

Answers

$f(x)=x^3-2x^2+5x+1\n f'(x)=3x^2-4x+5\n3x^2-4x+5=0\n\Delta=(-4)^2-4\cdot3\cdot5=16-60=-44$
$\Delta<0 \wedge a>0 \Rightarrow$ the graph of the parabola is above the x-axis, so the derivative is always positive and therefore the initial function is increasing in its whole domain.

$f(x)=0.5x^2-6\nf'(x)=x$
The function is decreasing when its first derivative is negative. The first derivative of this function is negative for $x<0$ so for $x\in(-\infty,0)$ the function is decreasing.

$f(x)=(x+1)/(x-1)\qquad(x\not=1)\nf'(x)=(x-1-(x+1))/((x-1)^2)=-(2)/((x-1)^2)$
The function is increasing when its first derivative is positive. The first derivative of this function is always negative therefore this function is never increasing.

How much sales tax will Nicole pay on a $36 shirt if the tax rate is 7%?