the graph of y=-3x+4 is?

You can use the power rule for derivatives for each problem (though you could also use the product rule for the fourth curve).

y = x ² + 6x - 1   ==>   dy/dx = 2x + 6

y = x ² - 5x + 1   ==>   dy/dx = 2x - 5

y = 2 - 4x - x ²   ==>   dy/dx = -4 - 2x

y = (1 + x) (7 - x) = 7 + 6x - x ²   ==>   dy/dx = 6 - 2x

--

or, using the product rule,

dy/dx = (1 + x) (-1) + 1 (7 - x) = -1 - x + 7 - x = 6 - 2x

--

Now, stationary points occur where the derivative is zero. We have

2x + 6 = 0   ==>   x = -3

2x - 5 = 0   ==>   x = 5/2

-4 - 2x = 0   ==>   x = -2

6 - 2x = 0   ==>   x = 3

Answer:

60 is the median

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

[tex]x=22\text{ and } y=123[/tex]

Step-by-step explanation:

By definition, the interior angles of a triangle must sum to 180°. Therefore:

[tex](2x+13)+(57)+(3x)=180[/tex]

Combine like terms:

[tex]5x+70=180[/tex]

Subtract 70 from both sides:

[tex]5x=110[/tex]

And divide both sides by five. Hence:

[tex]x=22[/tex]

Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:

[tex]y+57=180[/tex]

So:

[tex]y=123[/tex]

Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:

[tex]y=(2x+13)+(3x)[/tex]

Since we've determined that x = 22:

[tex]y=(2(22)+13)+(3(22))=44+13+66= 123[/tex]

We acquire the same answer.

Answer:

There are 21 distinct numbers on the list

Step-by-step explanation:

Square of integers between - 20 and 20

-20² = 400

-19² = 361

-18² = 324

-17² = 289

-16² = 256

-15² = 225

-14² = 196

-13² = 169

-12² = 144

-11² = 121

-10² = 100

-9² = 81

-8² = 64

-7² = 49

-6² = 36

-5² = 25

-4² = 16

-3² = 9

-2² = 4

-1² = 1

0² = 0

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

11² = 121

12² = 144

13² = 169

14² = 196

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

78.5714286..answer ..........

0.0127

Step-by-step explanation:

the answer is recurring

Answer:

CDEF and GHIJ

Step-by-step explanation:

This prism is composed by parallelograms. A parallelogram is composed by two pairs of parallel lines

two parallelograms that are parallel can be: CDEF and GHIJ

B

The y-values go from at least -6 to at most 9 so B fits that

Answer:

-6 <=y <=9

Step-by-step explanation:

x = √29

Step-by-step explanation:

By the Pythagorean theorem,

A² + B² = C²

14² + x² = 15²

x² = 15² - 14²

x² = 29

x = √29

Step-by-step explanation:

A^2+B^2=C^2

14^2+x^2=15^2

196 + X^2=225

X^2=225-196

x^2=29

X=√29

Answer:

65.5

Step-by-step explanation:

Answer:99904.

Step-by-step explanation:

Find the LCM of

5

10 = 2x5

15 = 3x5

20 = 2x2x5

25 = 5x5

LCM = 2x2x3x5x5 = 300

Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.

Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.

10204/10 = 1020 as quotient and a remainder of 4. Correct.

10204/15 = 680 as quotient and a remainder of 4. Correct.

10204/20 = 510 as quotient and a remainder of 4. Correct.

10204/25 = 408 as quotient and a remainder of 4. Correct.

Answer: 10204.

To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.

Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.

99904/10 = 9990 as quotient and a remainder of 4. Correct.

99904/15 = 6660 as quotient and a remainder of 4. Correct.

99904/20 = 4995 as quotient and a remainder of 4. Correct.

99904/25 = 3996 as quotient and a remainder of 4. Correct.

Answer: 99904.

Answer: -112/8=-14

Step-by-step explanation: Quotient means to divide.

Answer:

the correct answer is 4,000 grams

Answer:

24 seconds

Step-by-step explanation:

Given data

Blues flashes= 8 seconds

Red flashes= 12 seconds

Let us find the least common factor of 8 and 12

8= 2,4,8,16,24

12=2,3,4,6,24

Hence the number seconds is 24 seconds

Answer:

Step-by-step explanation:

mode means most repeated number . here in this given data 7 is repeated maximum number of times . so mode is 7.

to find median arrange the data from ascending to descending order.

Data = 1,2,3,4,5,7,7,7,8,8

median = N + 1/2    (N means no of data )

=10 + 1/2

=11/2

=5.5

= 5th term + 6th term/2

=5+7/2

=12/2

=6

mean = sum of data / no of data

=3+7+2+4+7+5+7+1+8+8/10

=52/10

=5.2

range = largest value - smallest value

=8 - 1

=7

Answer:

90%

Step-by-step explanation:

cost price of both tv = 2500

sale price of undamaged = 3000

sale price of damaged = 2200

sale price of both tv = 5200

profit = sale price - cost price

profit = 5200 - 2500

profit = 2700

profit percentage = profit × 100 ÷ cost price

profit percentage = 2700 × 100 ÷ 2500

profit percentage = 90%

The midpoint formula:

[tex] \large \boxed{( \frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2} )}[/tex]

From the graph, the point starts from (-3,2) and ends at (4,-1).

Substitute these points in the formula.

[tex] \large{( \frac{ - 3 + 4}{2} , \frac{2 - 1}{2}) = ( \frac{1}{2} , \frac{1}{2} )}[/tex]

Hence the midpoint is (1/2,1/2)

Answer

Answer:

y = 2x-5

y=-x+4

Step-by-step explanation:

Just need to solve the:

x+y=4

y-2x=-5

And we have:

x=3

y=1

Then replace x and y into the answer to find the correct one

Answer:

9

Step-by-step explanation:

Integer

Answer:

$190

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

190

Step-by-step explanation:

Step 1 find total amount of money she has saved

To do this simply multiply the amount of money she saves per week ( 4.75 ) by the number of weeks ( 8 )

Hence money she has saved = 8 * 4.75 = 35

Step 2 subtract cost of camera by amount of money she has saved

228 - 38 = 190

So we can conclude that she needs 190 more dollars to purchase the camera.

Answer:

6.32

5

254.34

Step-by-step explanation:

The lengths of the missing sides can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

first missing side

7² = 3² + x²

49 = 9 + x²

x² = 49 - 9

x² = 40

x = 6.32

second missing side

3² + 4²

9 + 16

= 25

√25 = 5

Area of a circle = πr²

Where : = π = pi = 3.14

3.14 x 9² = 254.34

Answer:

an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")

Step-by-step explanation:

Given the inequalities

17+4x < 9

Subtract 17 from both sides

17+4x -19 < 9 - 17

4x < -8

Divide both sides by 4

4x/4 < -8/4

x < -2

To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.

Answer:

A.5

Step-by-step explanation:

divide 40 by 7 which is equal to 5

Answer:

-75

Step-by-step explanation:

-39 = 24 +(n-1)(-7)

-39 = 24 +7-7n

-39 = 31-7n

7n = 31+39

7n=70

n=10

the sum = 10/2 × (24-39)

= 5 × -15

= -75

Answer:

The answer is 1 * 3.

Step-by-step explanation:

To find the size of the resulting matrix, start by finding the dimensions of both matrices. For the dimensions of a matrix, it goes rows by columns. To find the dimensions of a matrix, count the number of rows, and then count the numbers of columns.

For the first matrix, the dimensions are 1 by 3. For the second matrix, the dimensions are 3 by 3.

An easy way to see if matrices that are being multiplied produce a real answer, find the dimensions of each matrix and see if the two inner numbers match.

For these matrices being multiplied, the dimensions are 1 by 3 and 3 by 3, and the two inner numbers are 3, which means they match.

Then, begin solving for the answer resulting from the matrices being multiplied. Start by multiplying each row in the first matrix by each column in the second matrix. Next, simplify each element of the matrix by multiplying out all the expressions. Finally, the matrix in the most simplified form is [tex]\left[\begin{array}{ccc}11&11&-2\\\end{array}\right][/tex]. Thus, resulting in a 1 * 3 matrix.

Answer:

Question 1

probability of a red marble in the first draw = 1/10

probability of a orange marble in the second draw = 4/9

probability of getting red in first and orange in second (without replacement) = 1/10 * 4/9 = 2/45,

Question 2

6 outcomes

1/6

Answer: 6x^2 + 10x -2

Añade todos los lados de la figura y combina los términos iguales por ejemplo todos los que tienen “x” en frente, súmales