If f and g are differentiable functions for all real values of x such that f(2) = 5, g(2) = 3, f '(2) = 1, g '(2) = -2, then find h '(2) if h(x) = f(x) g(x).

Answer:

→BA

→CD

Step-by-step explanation:

We have points

← A B C D →

We have    →BA

which is a ray going to the left

and

→CD

which is a ray going to the right

Answer:

slope= -2/5 y intercept= 13/5

Step-by-step explanation:

1. convert to slope-intercept form form

2.  5y= -2x+13

3. y= -2/5x+ 13/5

4. The slope is -2/5 and your y intercept is 13/5

5. Now you can graph it and rember your slope is rise/run or change in y/ change in x.  

Given that :-

Sum of 20 numbers is 9

To find

Sum of these numbers after increasing each number by 0.03

Solution :-

→ We have to increase each number by 0.03. It means that we have to add 20 times 0.03.

→ So the increase in sum of number will be 20(0.03)

→ 20(0.03) = 0.6

→ Earlier sum was 9.

After increase oof 0.6 new sum is 9+0.6

Answer is 9.6

Answer:

x=2

Step-by-step explanation:

x=2

x+1=3

and 3 is a prime

Answer:

A counterexample is x = 3

Step-by-step explanation:

We are given that x is a prime number, and x + 1 is not a prime number. However consider the number 3. We know that 3 is a prime number, as it is present as factors of 1 and itself. However 3 + 1 = 4 - which falls into the category of a composite number, as it can divide into 2 * 2. Therefore your counterexample could be x = 3.

Answer:

Step-by-step explanation:

A ship is 5 miles east and 2 miles north away

from port and then it is 3 miles east and 8

miles south away from port. Write the linear

model algebraically.

I need help ASAP please

Answer:

Step-by-step explanation:

Step-by-step explanation:

a) Distance between Aranville t o Bowtown = 24 miless

b) Bowtown and Dovebury are furthest apart.

c) Toatl distance = 20 + 37 = 57 miles

Answer: Hi! 91.7% is a rational number. Because...

Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!

Answer:

Step-by-step explanation:

y + 4 = -9(x + 1)

y + 4 = -9x - 9

y = -9x - 13

Answer:

q = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

3(q + [tex]\frac{4}{3}[/tex] ) = 2 ← distribute left side

3q + 4 = 2 ( subtract 4 from both sides )

3q = - 2 ( divide both sides by 3 )

q = - [tex]\frac{2}{3}[/tex]

The required surface area of given triangular prism is 391.2 cm².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
In the figure,

From the figure,
length = 14 cm
height = 6.9 cm
base = 8 cm
Surface area of the prism = bh + 3bl

Surface area of the prism = 8×6.9 + 3×14×8
                                       = 391.2 cm²

Thus, the required surface area of given triangular prism is 391.2 cm².

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ5

Answer: 391.2

Step-by-step explanation:

Let me know if im wrong and ill change the answer

Answer:

x= ±2 sqrt(3)

Step-by-step explanation:

4x^2+11= 59

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4*3)

x= ±2 sqrt(3)

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4 x 3)

Answer:

it lies on 4 faces hope it helps

Answer:

The answer is four.

Step-by-step explanation:

Answer:

one angle 100

another angle=80

Step-by-step explanation:

supplementary angles =180

4x+5x=180

9x=180

x=180/9=20

one angle=5x=5(20)=100

another angle=4x=4(20)=80

100+80=180

Answer:

Step-by-step explanation:

Let the ratios be 4x and 5x

[tex] \sf4x + 5x = 180[/tex] ( sum of supplementary angle )

Collect like terms

⇒[tex] \sf{9x = 180}[/tex]

Divide both sides of the equation by 9

⇒[tex] \sf\frac{9x}{9} = \frac{180}{9} [/tex]

Calculate

⇒[tex] \sf{x = 20}[/tex]

Value of x = 20

Now, let's replace the value,

⇒[tex] \sf4x = 4 \times 20 = 80[/tex]

⇒[tex] \sf5x = 5 \times 20 = 100[/tex]

Hope I helped!

Best regards!!

Answer:

she ran 1 1/8  miles

Answer:

r=0.5

Step-by-step explanation:

0.125r+0.25r-0.0625=0.25+r

0.375r-0.0625=0.25+r

0.375r-r=0.25+0.0625

-0.625r=0.3125

r=0.3125/0.625

r=0.5

Answer:

[tex]solution set={n/n > -13/5}[/tex]

Step-by-step explanation:

[tex]5n + 3 > -10\\subtracting 3 on both sides\\5n + 3-3 > -10-3\\5n > -13\\n > -13/5 is the answer[/tex]

hope it will help :)

Isolate n:

5n + 3 > -10

Subtract 3 from both sides:

5n > -13

Divide both sides by 5:

n > -13/5

n > -2.6

An integer is a whole number, so the smallest whole number that would make the statement true would be -2:

5(-2) + 3 = -10 +3 = -7

5(-3) + 3 = -15 + 3 = -10

Since -7 is greater than -10, the answer is -2

Answer:

5/18

Step-by-step explanation:

Positive two-digit numbers are:

Total two-digit numbers:

Number of two-digit numbers ≥ 75:

Probability that the number is at least 75:

Answer is 5/18

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....

Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))

Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.

Answer:

BC = 9

Step-by-step explanation:

Given AC = 26

BC=7x + 2

AB = 9x + 8  

Since BC and AB are two parts of AC. Therefore we can write in the following form.

AC = AB +BC

Now insert the given values in the above formula.

26 = 9x + 8 + 7x + 2

26 = 16x + 10

26 – 10 = 16x

16 = 16x

x = 16 / 16  

x = 1

Now insert x = 1 in BC=7x + 2

BC = 7 (1) + 2

BC = 9

Answer:

-3

Step-by-step explanation:

-15 - (-12) = -15 + 12 = -3

Answer:

yes

Step-by-step explanation:

irrational numbers are the numbers which cannot be written as simple fractions

Answer:

Exact form: -87/16

decimal from -5.4375

mixed number form -5 7/16

Step-by-step explanation:

I'ma god at math

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

Answer: 729

Assuming each unit is L x W x H, 7 x 7 x 7 = 729, so thats the volume.

Answer:

[tex]a \: 36.5[/tex]

Step-by-step explanation:

cos51° = AC/58

AC = cos51° x 58

AC = 36.5

Answer:

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find AC.

To find AC we use cosine

cos∅ = adjacent / hypotenuse

From the question

AC is the adjacent

AB is the hypotenuse

So we have

[tex] \cos(51) = \frac{AC}{AB} [/tex]

[tex]AC = 58 \cos(51) [/tex]

Hope this helps you

Answer:

A. 15

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Hence,

(2x + 15)° = 1/2[(10x + 20)° - 80°]

2(2x + 15)° = (10x - 60)°

4x + 30 = 10x - 60

60 + 30 = 10x - 4x

90 = 6x

90/6 = x

15 = x

x = 15

Answer:

[tex]\huge \boxed{{2x(3x-1)}}[/tex]

Step-by-step explanation:

[tex](6x^2)-(2x)[/tex]

Apply rule : [tex]-(a)=-a[/tex]

[tex]6x^2-2x[/tex]

The expression cannot be simplified further.

Factor out 2x from the expression.

[tex]2x(3x-1)[/tex]

Answer:

[tex](6x {}^{2}) - (2x)[/tex]

[tex]6x {}^{2} { - 2x}[/tex]

Solution

[tex]6x {}^{2} - 2x [/tex]