The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.


(a, b) ≠

Answer:

Hello! answer: 36

Step-by-step explanation:

6 × 7 = 42 3 × 2 = 6 42 - 6 = 36 therefore the area is 36 hope that helps!

Answer:

40cm^2

perimeter:24cm

Step-by-step explanation:

Area: First of all, you can see that the missing height of the shape is 3cm. By adding 4 and 3, you get 7. Then, by multiplying 7 and the length of the shape (6cm), you get 42cm^2. After that, you have to multiply 2cm and 3cm to get the blank area in the bottom right corner to get 6cm^2. Finally, you can subtract 42cm^2(the whole area) by 6cm^2 (the blank area) to get 40cm^2.

Perimeter: Okay! To get the first missing measurement (the one on the left), you have to imagine 4cm being moved to that side. 3cm is parallel to the missing blank space under the 4cm. This means you have to get 7cm (you add 4 and 3). To get the other missing measurement (bottom of the shape) you must see that 6cm would be parallel to the bottom. Since 2cm is also parallel to the bottom, you would have to subtract 2 from 6 to get the bottom of the shape's length, which is 4. Finally, you would have to add 6, 4, 3, 2, 4 and 7 together to get 24cm.

Answer: -14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

Answer:

-14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

A grocer purchased 80kg of rice at rs90 per kg and sold at rs 99 per kg. 1)Find his profit/loss. 2)Find his profit/loss percent

Answer:

A.

Step-by-step explanation:

Take a look at what happens when squaring either of these...

[tex](ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\[/tex]

Notice a couple of patterns.

1.  The last term has a positive coefficient.  That rules out answer choices C and D.

2.  The coefficient of the middle term is either [tex]+2ab \text{ or } -2ab[/tex] .  So what are a  and b?  a is the square root of the x^2 term and b is the square root of the y^2 term.

[tex]25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30[/tex]

The middle coefficient needs to be either +30 or -30.  The answer is choice A.

Answer:

x=-3

Step-by-step explanation:

Answer: (d)

Step-by-step explanation:

Given

Price  of the stock is given by the function

[tex]P=10e^{km}[/tex]

after 4 months, price increases to $14.60

Insert the value in the function

[tex]\Rightarrow 14.60=10e^{4k}\\\\\Rightarrow 1.46=e^{4k}\\\text{Taking natural log both sides}\\\Rightarrow \ln 1.46=\ln e^{4k}\\\Rightarrow 0.378=4k\\\Rightarrow k=0.0946\approx 0.095\ \text{per month}[/tex]

hence, option (d) is correct.

Step-by-step explanation:

height = √6.5² - 2.5² = 6ft

Answer:

Option a: m ≠ 0

Step-by-step explanation:

After a small online search, I've found that the complete question is:

If the function f(x) = m*x + b has an inverse function, which statement must be true?

a) m ≠ 0

b) m = 0

c) b ≠ 0

d) b = 0

Ok, if g(x) is an inverse of the function f(x), then:

g( f(x)) = x

f( g(x)) = x

Let's assume that f(x) = m*x + b  has an inverse, and this inverse function is g(x).

Because f(x) is linear, g(x) is also linear, then:

g(x) = n*x + c

Let's find the values of A and B.

We know that:

f( g(x)) = x =  m*(n*x + c) + b

then

x = m*n*x + m*c + b

Then we must have:

m*n = 1

(m*c + b)  = 0

From the first equation m*n = 1

We get:

n = 1/m

The slope of the inverse function is one over the slope of the original function.

Because m is on the denominator, m can not be equal to zero (because a division by zero is not defined)

Then the correct option is the option a, m ≠ 0.          

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

I think 0.7

Step-by-step explanation:

Answer:

The hourly rate would be 14

Step-by-step explanation:

All you have to do is divide 49 by 3.5, giving you 14 :)

Answer:

24, A

Step-by-step explanation:

(Length x height)÷2 = the area of a triangle

Answer:16 students and C is right

Step-by-step explanation:

Add all the dots to get the number of students. C is correct because it is ages in months,not years.

Answer:

bbbbbb

Step-by-step explanation:

b ba bbssnbsn ss

Answer:

4:7 and 4:49

Step-by-step explanation:

P=s+s+s

A=S×S

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex] \sqrt{56 + ( - 7)} \\ = > \sqrt{56 - 7} \\ \\ = > \sqrt{49} \\ = > 7 [/tex]

[tex] \sqrt{56 + ( - 7)} [/tex]

[tex] \sqrt{49} [/tex]

[tex] \sqrt{7²} [/tex]=±7

is your answer

Answer:

y = -3x - 2, the slope is -3 and the y-intercept is -2

Step-by-step explanation:

2y +4 = -6x and minus the four to get 2y alone

Then divide -4 and -6x by 2 to get y = -3x and -2

Answer:

a = -3

Substitute...

3 (-3)^2

3 • (-3)(-3)

3 • 9 = 27

Answer:

the tickets will cost 384 dollars in all

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

the function has a y-intercept of (0,8) . and the function has a x-intercept of (2,0) . the function also has a x intercept of 4,0

Step-by-step explanation:

f(x) is basically just Y , so this is a table showing x and y coordinates. when x = 0 , it's a y intercept and when f(x) or Y = 0 , it's a x intercept !

Answer:

As decimal 20.5833333333

As fraction [tex]20[/tex] [tex]\frac{7}{12}[/tex]

mark me as brainliest if right :)

Step-by-step explanation:

Conversion a mixed number 10 2/

3

to a improper fraction: 10 2/3 = 10 2/

3

= 10 · 3 + 2/

3

= 30 + 2/

3

= 32/

3

To find new numerator:

a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/

3

= 30/

3

b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32

c) Write a previous answer (new numerator 32) over the denominator 3.

Ten and two thirds is thirty-two thirds

Conversion a mixed number 9 11/

12

to a improper fraction: 9 11/12 = 9 11/

12

= 9 · 12 + 11/

12

= 108 + 11/

12

= 119/

12

To find new numerator:

a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/

12

= 108/

12

b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119

c) Write a previous answer (new numerator 119) over the denominator 12.

Nine and eleven twelfths is one hundred nineteen twelfths

Add: 32/

3

+ 119/

12

= 32 · 4/

3 · 4

+ 119/

12

= 128/

12

+ 119/

12

= 128 + 119/

12

= 247/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.

y + 35 = ( y ) + ( y - 31 )

y + 35 = 2y - 31

Add both sides 31

y + 35 + 31 = 2y - 31 + 31

y + 66 = 2y

Subtract both sides y

y - y + 66 = 2y - y

y = 66

Answer:

3240

Step-by-step explanation:

Sum=n/2(2a+(n-1)d)

=80/2(2*1+(80-1)1)

=40(2+79)

=40*81

=3240

Answer:

6480.

Step-by-step explanation:

This is an arithmetic series with  first term 2, last term 160 and common difference 2.

Sum = n/2 [ a1 + L)

= (80/2)(2 + 160)

= 40 * 162

= 6480.

Answer:

The X represents how much Han made.

Step-by-step explanation:

I believe thats the answer.

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.

So, by AAS criteria it would be congruent.

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

hope it helps...

have a great day!!

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

hope it helps you...