All categories

3 years ago

(1a) Do 4x and 15 + x have the same value when x is 5? How do you know?

Mathematics

2 answers:

diamong [38]3 years ago

5 0

Answer:

Yes, both have the same value ( 20) when x = 5.

Step-by-step explanation:

We have two functions:

y = 15 + x

y = 4*x

We want to see if these functions have the same value when x = 5.

Then we just need to replace x by 5 in both equations, and see if the values of y are the same

first function:

y = 15 + 5 = 20

second function:

y = 4*5 = 20

So yes, both functions are equal to 20 when x = 5.

serious [3.7K]3 years ago

3 0

Answer:

Yes.

Step-by-step explanation:

4(5)=20

15+5=20

You might be interested in

Ms. Perry bought a plant and is tracking the height of the plant each week. If y represents the height of the plant, in inches,

VMariaS [17]

Answer:

When Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

Step-by-step explanation:

The rate of change, or slope, represents the rate at which the height of the plant increased per week.

Use the points (2 , 10) and (4 , 15) from the table to calculate the rate of change, also known as the slope.

y2 - y1 = 15 inches-10 inches

x2 - x1 4 weeks-2 weeks

2.5 inches/1 week or 2.5 inches per week

So, the rate of change is 2.5 inches per week.

Now, find the y-intercept, b, by using the equation y = mx + b, where m is the slope of the line represented by the given table of values and (x , y) is any point on the line.

Substitute m = 2.5 and (x , y) = (2 , 10) in the above equation to find out the initial height of the plant.

y=mx+b

10=2.5 (2) + b

5=b or b=5

So, the initial height of the plant was 5 inches.

Therefore, the situation represented by the table is when Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

5 0

3 years ago

gabby plans to hike 6.3 kilometers to see a waterfall.she stops to rest after hiking 4.75 kilometers.how far does she have left

N76 [4]

1.55 is your answer :)

5 0

3 years ago

Read 2 more answers

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

Find the value of x in the triangle

lianna [129]

Answer:

x = 29 degrees

Step-by-step explanation:

We know that all of the angles inside of a right triangle add up to 180. We also know that a right angle is 90 degrees. We can do 61 + 90 = 151. 180 - 151 = 29. This means that x = 29 degrees.

7 0

2 years ago

Read 2 more answers

Help it is Parts of an Algebraic Expression

nlexa [21]

Answer:

terms- + -

variables- x p

coefficent-7 3

constant- 9

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers