If f is a function such that [tex]\lim_{x \to a} \frac{f(x)-f(a)}{x-a} =5[/tex], then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5

Answer:

Step-by-step explanation:

√100 - √28

√100 = 10

10 - √28

10 - √(4 × 7)

10 - √4√7

√4 = 2

10 - 2√7

Answer:

6 y 2

Step-by-step explanation:

x es el primer número, y es el segundo número.

Un número es tres veces otro número, entonces la ecuación 1 es:

x = 3y

La suma de sus recíprocos es 2/3, entonces la ecuación 2 es:

[tex]\frac{1}{x}+\frac{1}{y}=\frac{2}{3}[/tex]

Reemplazando la ecuación 1 en la 2 y resolviendo para y, nos queda:

[tex]\frac{1}{3y}+\frac{1}{y}=\frac{2}{3}\\\frac{4}{3y} =\frac{2}{3} \\4(3)=2(3y)\\12=6y\\y=2[/tex]

Reemplazando y en la ecuación 1, no queda:

x = 3(2) = 6

Por lo tanto, los dos números son 6 y 2

Answer:

I think the answer is m= 26x+1

I'm not a 100% sure

Step-by-step explanation:

m=25x + 9x - 8x +1

Answer:

Step-by-step explanation:

We are going to use the areas given to find the lengths of the sides of each of their respective squares. For the purple square, the area is 35 units squared. Because the formula for the area is A = s * s, then we can fill in the value for the area and solve for s, the side length, of the purple square.

[tex]35=s^2[/tex] and

[tex]s=\sqrt{35}[/tex]. That side length also serves as the height of the right triangle. Now on to the blue square on the bottom. It has an area of 50 units squared, so

[tex]50=s^2[/tex] and

[tex]s=\sqrt{50}[/tex]. We could feasibly simplify that, but it's not necessary, really. That side serves as the base of the right triangle. Now we can use Pythagorean's Theorem to find the length of the hypotenuse of the right triangle, which also serves as the side of the big blue square. We will call the side of the big blue square x.

[tex]x^2=(\sqrt{35})^2+(\sqrt{50})^2[/tex] and

[tex]x^2=35+50[/tex] and

[tex]x^2=85[/tex] and

[tex]x=\sqrt{85}[/tex]. That is the side length of the large blue square. The area for the square is s * s, and since we know the side length to be √85:

[tex]A=(\sqrt{85})(\sqrt{85})[/tex] so

A = 85 units squared

Answer:

The answer is option D.

y = - 7x² - 1

It's maximum is ( 0 , - 1)

Hope this helps you

Linear functions never have maxima and minima, so a) is discarded.

In the options there are quadratic functions, they can present either a maximum or a minimum.

You can know instantly by seeing the sign of the variable [tex]{x}^{2}[/tex], if positive the parabola opens up, then it will have a minimum, if negative the parabola opens down, having a maximum.

[tex] \mathbb{ANSWER} \rightarrow \boxed{ \boxed{y = - {7x}^{2} - 1 }}[/tex]

Answer:

x=133 degrees

Step-by-step explanation:

The diagram is drawn and attached below.

Now, AB is a straight line.

[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]

Answer:

We will fill 6 containers with 3/7 of another full

Step-by-step explanation:

Take the number of cups of flour and divide by the amount each container will hold

15 ÷ 2 1/3

Change to an improper fraction

15 ÷ ( 3*2+1)/3

15÷ 7/3

Copy dot flip

15 * 3/7

45/7

Change to a mixed number

6*7 = 42 with 3 left over

6 3/7

We will fill 6 containers with 3/7 of another full

Answer:

6 full and 3/7 of container

Step-by-step explanation:

15 cups divided by 2 1/3

(15) /2 1/3 =45/7=6.429  you need 7 containers

6 containers full and 3/7 of container

Step-by-step explanation:

1) 4 3/5 or 4.6

2) 3.833

3) 4

4) 9.866

Answer:

11 17/21 cm²

Step-by-step explanation:

5 1/6 = (5*6 + 1)/6 = 31/6

2 2/7 = (2*7 + 2)/7 = 16/7

A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²

Step-by-step explanation:

Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.

So, given your question,

each side of the cube will be 3

because 3 × 3 × 3 = 27

Hope this helps.

Answer:

Four

Step-by-step explanation:

Let's expand and see how many nonzero terms:

⇒ (x+4)(2x²+3x+9)-3(x³-2x²+7x)=

⇒ 2x³ + 3x² + 9x + 8x² + 12 + 36 - 3x³ + 6 x² - 21 x=

⇒ - x³ + 17x² - 12x + 12

As we see the expression has four nonzero terms

Answer: Distance is 14.6

Step-by-step explanation:

[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]

[tex](x2-x1) = (7 - 3) = 4[/tex]

[tex](y2-y1) = (-6 - 8) = -14[/tex]

add it all together

[tex](4)2 + (-14)2 = 16 + 196 = 212[/tex]

Square 212

[tex]\sqrt{212} =14.5602[/tex]

round to the nearest tenth

=14.6

PLEASE MARK BRAINLIEST

Answer: d=14.6

Step-by-step explanation:

√212=14.5602

round=14.6

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

Answer: 1.6

Step-by-step explanation:

This data set is 0,1,2,2,3.  Thus, you can calculate the mean by doing (0+1+2+2+3)/5=1.6

Hope it helps <3

Answer:

Step-by-step explanation:

1. Add all the numbers that we have on the dot plot together.

First, we have one 0. Then we have one 1. After that, we have two 2s. Finally, we have one 3.

2. Add all the numbers

0 + 1 + 2 + 2 + 3 = 8

3. Divide by the number of numbers.

8/5 = 1.6

Answer:

[tex]x^2 + 10x + y^2 -4y + -7 = 0[/tex]

Step-by-step explanation:

For any circle point with coordinate of center (a,b) and radius r

equation of circle is given by

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

_______________________________________

Given

coordinate of center =  (-5,2)

radius = 6

thus, equation of circle can be written by substituting a and b with (-5 ,2) and r =6 as shown below

[tex](x-a)^2 + (y-b)^2 = r^2\\(x-(-5))^2 + (y-2)^2 = 6^2\\x^2 + 10x + 25 + y^2 -4y + 4 = 36\\=>x^2 + 10x + y^2 -4y + 29 = 36\\=>x^2 + 10x + y^2 -4y + 29 -36 = 36 -36\\=>x^2 + 10x + y^2 -4y + -7 = 0[/tex]

Thus, equation of circle is [tex]x^2 + 10x + y^2 -4y + -7 = 0[/tex]

Answer:

brainlist? please.

Step-by-step explanation:

Answer:

x1 = 0.54

x2 = –6.55

Step-by-step explanation:

use the calculator

Answer:

x= -29

Step-by-step explanation:

You have the point (-29, 44). The x coordinate is -29, which means your equation is x=-29. You can check your answer by graphing x= -29, y=52, and (-29, 44) on desmos.

Answer:

B) -3                                 (Sorry if its overwhelming)

Explanation:

First, we have the given information of the weather over a 2 and 1/5 span

And we are asked to find the change per hour

We can first start by finding the change for 2 and 1/5 hours:

- Subtract the first amount by the second amount.

= (-6 3/5) - 0

= (-6 3/5) + 0

= -6 3/5

Now that we have the change for 2 and 1/5 hours we must find the change per hour:

- Divide the given dividend by the given divisor

= -6 3/5 ÷ 2 1/5

= -3

Hence, the temperature change per hour over a 2 1/5 hour span is -3° per hour

The temperature change per hour over a 2 1/5 hour span is -3° per hour.

The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;

°F = (9/5 × °C) + 32.

We can first start by finding the change for 2 and 1/5 hours:

Subtract the first amount by the second amount:

= (-6 3/5) - 0

= (-6 3/5) + 0

= -6 3/5

Divide the given dividend;

= -6 3/5 ÷ 2 1/5

= -3

Hence, the temperature change per hour over a 2 1/5 hour span is -3° per hour.

Learn more about temperature;

https://brainly.com/question/11464844

#SPJ2

Answer:

46.67 cubic feet

Step-by-step explanation:

Given :The rectangular base is 35 square feet, with a height of 4 feet.

To Find :What is the volume of the tent?

Solution :

Volume of rectangular base pyramid =

Since we are given that The rectangular base is 35 square feet, i.e. area of rectangular base = l*w = 35 sqaure feet

Height of pyramid h = 4 feet

Putting values in formula

Volume of rectangular base pyramid =

                                                             =

                                                             =46.67 cubic feet

Thus  volume of the tent is 46.67 cubic feet

Answer:

46.67  cubic feet

Step-by-step explanation:

right on ttm

Answer:

No.

Step-by-step explanation:

Let's first and try to isolate x.

-2x < 5

(Divide by -2)

x > -5/2 ( < changes to > b/c it was divided by a negative)

x > -2.5

Since x is all values greater than -2.5, -6 is not within those bounds.

Thus, -6 is not a solution to the inequality.

Hope that helps!

Answer:

To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.

Step-by-step explanation:

We just saw how to find an angle when we know three sides. It took quite a few steps, so it is easier to use the "direct" formula (which is just a rearrangement of the c2 = a2 + b2 − 2ab cos(C) formula). It can be in either of these forms:

cos(C) =  a2 + b2 − c22ab

cos(A) =  b2 + c2 − a22bc

cos(B) =  c2 + a2 − b22ca

Answer:

Law of cosines, two sides and the included angle known

Step-by-step explanation:

double check that the question is exactly the same to make sure you get the question correct

"If ∠P is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for p."

Answer:

a7 = 38

Step-by-step explanation:

n is the term indicator

an = 5n+3

Let n=7 if we are looking for the 7th term

a7 = 5*7 +3

a7 = 35+3

a7 = 38

Answer:

x=0   x=3   x=-2

Step-by-step explanation:

p(x)= 3x^3 – 3x^2– 18x

Factor out the greatest common factor, 3x

p(x)= 3x (x^2 – x– 6)

Factor inside the parentheses

What 2 numbers multiplies to -6 and adds to -1

-3*2 = -6

-3+2 = -1

p(x)= 3x (x-3)(x+2)

Setting the function equal to zero to find the zeros

0 = 3x (x-3)(x+2)

Using the zero product property

3x = 0  x-3 =0   x+2 =0

x=0   x=3   x=-2

Answer:

x = -2, 0, 3.

Step-by-step explanation:

3x^3 – 3x^2– 18x = 0

First take out the GCF which is 3x:

3x(x^2 - x - 6) = 0

So one zero  is 0 ( because 3x = 0).

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = -2, 3.

Answer:

a / 3(a + b).

Step-by-step explanation:

3a / (9(a + b))

The 3/9 cancels to 1/3 so the answer is

a / 3(a + b)

Answer:

a/3(a+b)

Step-by-step explanation:

We can divide both the top and bottom of the expression by 3 to reduce the fraction. This gives us a/3(a+b), which is fully reduced.

Answer:

see explanation

Step-by-step explanation:

The statements tells us that w is inversely proportional to v and the equation relating them is

v = [tex]\frac{k}{w}[/tex] ← k is the constant of proportion

To find k use the condition v = 9, w = 5, that is

9 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

45 = k

v = [tex]\frac{45}{w}[/tex] ← equation of proportion

When w = 4 , then

v = [tex]\frac{45}{4}[/tex] = 11.25

Answer:

A and e

Step-by-step explanation:

Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

Answer:

18

Step-by-step explanation:

when x=4 and y=-3 evaluate 3x-2y

3x - 2y = 3(4) - 2(-3) = 12 - (-6) = 12 + 6 = 18

Answer:

18

Step-by-step explanation:

Plug in the values.

3(4) - 2(-3)

12 - - 6

12 + 6

= 18