Is there a local minimum at x= -4?
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Answer:

77°

Step-by-step explanation:

103° + ∠1° = 180°

Answer:

y = -4/3x + 2

Step-by-step explanation:

Slope intercept form is y = mx + b.

Rearrange the equation into slope intercept form by isolating y:

12x + 9y = 18

9y = -12x + 18

Divide each side by 9:

y = -4/3x + 2

So, the equation is y = -4/3x + 2

Answer:

Option (2)

Step-by-step explanation:

ABCD is a parallelogram having vertices A(0,7) and C(2, 1).

Therefore, length of diagonal AC = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                       = [tex]\sqrt{(0-2)^2+(7-1)^2}[/tex]

                                                       = [tex]\sqrt{40}[/tex]

Since, diagonals of a rectangle measure the same and bisect each other,

Length of other diagonal BD will also measure [tex]\sqrt{40}[/tex].

Therefore, Option (2) will be the correct option.

Answer:

<5 and <7 are corresponding angles.

Step-by-step explanation:

<5 and <7 are corresponding angles.  They are on the same side of the transversal and on the same position on each of the parallel lines

Answer:

3

Step-by-step explanation:

you have to solve for x then you can find the coeeffiecnt

Answer:

y = -2x + 2

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {4 - (-2)}{-1 -2} [/tex]

[tex] Slope, m = \frac {4 + 2}{-1 -2} [/tex]

[tex] Slope, m = \frac {6}{-3} [/tex]

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c

Answer:

121x+y²

Your Welcome

BIFFY OUT!!!

Answer:

(a) By converting to decimal:

2:3=23=0.6¯

4:5=45=0.8

As 0.6¯<0.8,2.:3<4:5.

(b) By converting to fractions:

Ratios can be compared by converting them to like fractions.

2:3=23=2(5)3(5)=1015

4:5=45=4(3)5(3)=1215

As 1015<1215,2:3<4:5.

Step-by-step explanation:

the Adjacent = √15²-9²=√225-81=√144=12

sin 0 = 9/15 = 3/5

cos 0 = 12/15 = 4/5

tan 0 = 9/12 = ¾

sec 0 = 15/12 = 5/4

csc 0 = 15/9 = 5/3

cot 0 = 12/9 = 4/3

BAnswer:

B-D-A

Step-by-step explanation:

-

Answer:

A

because range is all values of Y but in negative side it is infinity but in positive side range is 4

Answer:

x=20

Step-by-step explanation:

120=6x

120/6=6x/6

20=x

Answer:

CNC app BC we can we can MN we all at can we can we do all we can we go we go we cannot GL can see VM we BM

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Therefore, the expected winnings for this game are $3.50.

Answer: The length of DC is 3 units

Step-by-step explanation:

The Basic proportionality theorem states that if a line is parallel to one side of a triangle and intersects the other two at different points, then the other two sides are divided in the same ratio.

The given image is attached below.

From the BPT theorem, we can say that:

[tex]\Rightarrow \frac{AE}{EB}=\frac{AD}{DC}[/tex]

We are given:

AE = 12 units

EB = 4 units

AD = 9 units

Putting values in above equation, we get:

[tex]\Rightarrow \frac{12}{4}=\frac{9}{DC}\\\\\Rightarrow DC=\frac{9\times 4}{12}\\\\\Rightarrow DC=3 units[/tex]

Hence, the length of DC is 3 units

Answer:

The answer is 3 units

Step-by-step explanation:

Answer:

(15x + 120) ft³

Or

15(x + 8) ft³

Step-by-step explanation:

The prism can be decomposed into a rectangular prism and a triangular prism

The volume of the prism = volume of the rectangular prism + volume of the triangular prism

✔️Volume of rectangular prism = L*W*H

L = 5 ft

W = 4 ft

H = 6 ft

Volume = 5*4*6 = 120 ft³

✔️Volume of triangular prism = ½*b*h*l

b = x ft

h = 6 ft

l = 5 ft

Volume = ½*x*6*5 = 15x ft³

✔️Volume of the prism = (15x + 120) ft³

Answer:

144

Step-by-step explanation:

Divide the b term which is 24 by 2

Gives you 12, then square it.

that's 144

formula for completing squares is [tex](b/2)^{2}[/tex]

Answer:

18 rungs

Step-by-step explanation:

Let x = number of rungs

x/2 = middle

Climbed 3

x/2 +3

Down 5  

x/2 +3 -5

Climbed 9

x/2 +3 -5+9

Then climbed 2 more

x/2 +3 -5+9 +2

Now is at the top

x/2 +3 -5+9 +2 =x

Combine like terms

x/2 +9 = x

Subtract x/2 from each side

x/2+9-x/2 = x - x/2

9 = x/2

Multiply each side by 2

18 =x

Answer:

Step-by-step explanation:

Hope this helps

Answer:

option A

Step-by-step explanation:

2x*(x + 3) = 6x + 4

2x *x + 2x*3 = 6x + 4   {Distributive property}

2x² + 6x  = 6x + 4

Subtract 6x from both sides  {Subtraction property of equality}

2x² = 4

Divide both sides by 2 {Division property of equality}

x² = 4/2

x² = 2

x = √4     {Square root property}

x = ± 2

Answer:

where are you from Korea or not

Hope it helps you!

-miraculousfanx-

Answer:

9%

Step-by-step explanation:

Principal x interest rate=yearly interest

1434.85 x interest rate =126.77

interest rate = 126.77/1434.85

interest rate=.088 or 9%

Answer:

(13, -3).

Step-by-step explanation:

Expression representing transformation has been given as,

[tex]r_{y-z}oT_{4,-5}[/tex]

First apply the rule → [tex]T_{4,-5}[/tex]

Translation of the point by 4 units along the x-axis and 5 units downwards along the y-axis,

(x, y) → (x + 4, y - 5)

(-1, -8) → (-1 + 4, -8 - 5)

          → (3, -13)

Now apply the rule of reflection over the line y = -x to the image point (3, -13),

(x, y) → (-y, -x)

(3, -13) → (13, -3)

Therefore, answer will be (13, -3).

Answer:

use this formula(a+b+c) a,b,c are the 3 sides of a triangle this will help you to find the perimeter of a triangle

Answer:

y=-x-3

Step-by-step explanation:

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

option C = $13

Step-by-step explanation:

Amount she had in the beginning = $73

Cost of shirt = $22

Let the cost of jeans be = x

Balance in hand = $38

Amount in hand = 38 + 22 + x

                 73 = 60 + x

                 73 - 60 = x

                   13 = x

Therefore, cost of  a pair of jeans = $13

Answer:

The answer is C

Step-by-step explanation:

Answer:

if I am understood your question correctly, X would be 84/29

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]