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3 years ago

Can you help me? 4+3(x+5)=5x-7

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

6 0

Answer:

Step-by-step explanation:

4 + 3(x + 5)=5 x - 7

3x + 19=5x - 7

3x + 19 - 19=5x - 7 - 19

3x =5x - 26

3x - 5x=5x - 26 - 5x

-2= -26

-2x/-2 = -26/-2

x= 13

It might be wrong. I may have made a mistake with typing sorry.

Hope this helps a bit.

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The population of mosquitoes in a certain area as a function of inches of rainfall is modeled in the table. The function is quad

torisob [31]

Answer:

The x-intercept represents that after 10 in. of rain there are mosquitoes.

The x-intercept represents that after 0 in. of rain there are no mosquitoes.

Step-by-step explanation:

We are given a table that represents the population of mosquitoes in a certain area as a function of inches of rainfall :

RAINFALL(in.) POPULATION (millions.)

0 0

1 9

3 21

4 24

5 25

6 24

We will first find the function P(t) which denotes the number of mosquitoes after t inches of rainfall.

As the function is quadratic.

Hence , let:

$P(t)=at^2+bt+c$

At t=0 we have, P(t)=0

$c=0$

at t=1 we have: P(t)=9

i.e.

$a+b=9-----(1)$

Also at t=2 we have: P(t)=21

i.e.

$9a+3b=21-------(2)$

On solving equation (1) and (2) we get:

a= -1 and b=10

Hence,

$P(t)=-t^2+10t$

We know that the x-intercept of a graph is a point where the y-value is zero.

i.e. it is the inches of rainfall when the population of mosquitoes is zero i.e. there are no mosquitoes.

i.e. we have to find t such that:

P(t)=0

i.e.

$-t^2+10t=0\\\\i.e.\\\\t(10-t)=0\\\\i.e.\\\\ t=0\ or\ t=10$

Hence, we have got two x-intercept.

one at t=0 and the other at t=10.

The x-intercept represents that after 10 in. of rain there are no mosquitoes.

The x-intercept represents that after 0 in. of rain there are no mosquitoes.

5 0

4 years ago

Read 2 more answers

the histogram shows the result of survey asking students how many windows are in their homes how mnay studengs have less than 10

serious [3.7K]

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

What we can see:

As we can see..

the 0-4 section in the table shows that only 0-4 students have 9 windows.
The 5-9 sections shows that only 5-9 students have 10 windows.
The 10-14 sections shows that 10-14 students have 0 windows.
The 15-19 sections shows that 15-19 students have 4 windows.
The 20-24 sections shows that 20-24 students have 2 windows.

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.

4 0

3 years ago

WILL GIVE BRAINLIEST!!!!!!!!!!!!!

Phantasy [73]

Writing the domain in words: negative infinity to three halves and three halves to infinity

So, Option A is correct.

Step-by-step explanation:

We need to find domain of the function: $f(x)=\frac{x-5}{2x-3}$

Domain:

The domain of function is defined as all the input values for which the function is defined.

In other words we can say that any value of x that makes the denominator zero is not considered as domain of function.

In the function given: $f(x)=\frac{x-5}{2x-3}$

if x= 3/2 then the denominator will be zero and the function will not be defined.

So, value of x should be x>3/2 or x<3/2

We can write domain as: (-∞,3/2)(3/2,∞)

3/2 can be written as three halves.

Writing the domain in words: negative infinity to three halves and three halves to infinity

So, Option A is correct.

Keywords: Domain of Function

Learn more about Domain of function at:

#learnwithBrainly

4 0

4 years ago

. The function s(l) = 1.34 √l models the maximum speed s in knots for a sailboat with length l in feet at the waterline. a. Use

trasher [3.6K]

Answer:

The length of the sailboat is 80 feet.

Step-by-step explanation:

The function

$s(l) = 1.34 \sqrt{l}$ ................ (1)

models the maximum speed s in knots for a sailboat with length l in feet at the waterline.

So, using this model we have to find the length of a sailboat with a maximum speed of 12 knots.

Now, from equation (1) we get

$12 = 1.34 \sqrt{l}$

⇒ $\sqrt{l} = 8.955$

⇒ $l = (8.955)^{2} = 80$ feet (Answer)

{The value is round to the nearest foot}

5 0

3 years ago

The height of mount everest is 29,035 feet. how many mile is that?

Gnesinka [82]

It is 5.5 miles from sea level.

6 0

4 years ago

Read 2 more answers