Identify the local minimum for the function shown.
A)
(2, 1)
B)
(1, 2)
C)
(-2,-1)
D)
(-1, -2)

Answer:

x + y = 11

10x + 5y = 80

Step-by-step explanation:

Answer:

x = 10 is your answer

- Explain -

Step 1: subtract 1 from both sides (subtraction of equality)

which will give us:

2x = 21 - 1

which equals to

2x = 20

Step 2: Divide both sides by 2

which is

2x/2 = 20/2

2/2 = 1 and 20/2 = 10

Therefore the answer is x = 10

Answer:

14 units, 19.8 units (3 s.f.)

Step-by-step explanation:

To find the length of each side of the square ABCD, find the length of AB.

Refer to the picture attached.

AB= AX +XB

Let's find the length AX first.

(see triangle AXY)

Applying Pythagoras' Theorem,

(AX)² + (XY)² = (AY)²

(AX)² +12²= 13² (subst. known values)

(AX)²= 169 -144 (move constant to 1 side)

(AX)²= 25 (simplify)

AX= √25 (square root both sides)

AX= 5 units

Now, let's find the length of XB.

(see triangle BXY)

Applying Pythagoras' Theorem,

(XB)² + (XY)²= (BY)²

(XB)² +12²= 15²

(XB)²= 225 -144 (bring constant to 1 side)

(XB)²= 81 (simplify)

XB= √81 (square root both sides)

XB= 9 units

AB

= 5+9

= 14 units

Therefore, length of each side of square ABCD= 14 units

To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).

Since squares have equal sides, AD= DC= 14 units

Applying Pythagoras' Theorem,

(AC)²= (AD)² +(DC)²

(AC)²= 14² +14² (subst. known values)

AC= √392 (simplify)

AC= 19.8 units (to 3 s.f.)

Answer:

To use proportions to solve ratio word problems, we need to follow these steps:

Identify the known ratio and the unknown ratio.

Set up the proportion.

Cross-multiply and solve.

Check the answer by plugging the result into the unknown ratio.

Step-by-step explanation:

Answer:

In 2008 the US population was 4.55% of the world population.

Step-by-step explanation:

In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:

6.7*10^9 -> 100%

305*10^6 -> x%

6.7*10^9 / 305*10 ^6 = 100 / x

6.7*10^3 / 305 = 100 / x

(6.7*10^3)*x = 305*100

x = 30500 / (6.7*10^3)

x = 4,55 %

In 2008 the US population was 4.55% of the world population.

Answer: 6.76 109

Step-by-step explanation:

Answer:

560 is the area

Step-by-step explanation:

20x10 = 200 + the 30x12 = 560 comment if you need further explanation

Answer: c < -3

Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.

Since 2 is being added to c, subtract

2 from both sides of the inequality.

On the left, the +2 and -2 cancel out

and on the right, -1 - 2 is -3.

So we end up with c < -3.

I have also graphed this for you below.

Answer:

B C E

Step-by-step explanation:

Look at the attachment

Answer:∠M in the pre-image corresponds to ∠B in the image.

Step-by-step explanation:

When  we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N  ,O .

Clearly , vertex C corresponds to vertex N ( presents in the middle )

Also, point B is at the right from point C .In  Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.

It means ∠M in the pre-image corresponds to ∠B in the image.

brain list this answer thankyou:)

Answer:

42

Step-by-step explanation:

3(x+x+6)=270

3(2x+6)=270

6x+18=270

6x=252

x=42

Answer:

x =83

Step-by-step explanation:

supplementary angles add to 180 degrees

x+y = 180

We know y is 97

x+97= 180

Subtract 97 from each side

x+97-97= 180-97

x =83

Answer:

It is 83

Step-by-step explanation:

Supplementary is 180 degrees

180-97=83

the answer would be either bnor c

hello,

here is your answer:

**********

2x³ - 3x² - 17x + 30

(2x³ - 3x²) (- 17x + 30)   [group the terms]

(2×x×x×x - 3×x×x) (1×-17×x + 1×30)   [find common factors]

x² (2x - 3) 1 (-17x + 30)   [separate the common factors]

ans: x² (2x - 3) 1 (-17x + 30)

You can verify the answer by multiplying it, you should be able to get the expression we started with (2x³ - 3x² - 17x + 30).

**********

hope this helped,

:)

Answer:

Step-by-step explanation:

A new TV sells for $200. Every year, the TV loses 10% of the initial value.

Answer:

C. x = 5, y = -2

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

Answer:

It would be the first one in the picture

Step-by-step explanation:you would divide 96 in half it would be 48, 32 minus 48 is 16 and it says divide by 2 and subtract 32 and you get 16. plz give brainly

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

Answer:

A

Step-by-step explanation:

5 divided by 4 is 1.2

Answer:

x=5 x=8 x=10

explanation:

anything greater than 5 would make the inequality true because 5×2=10

Answer:

undefined

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

(4)(2) + 4x = -4

                   multiply the 4 and 2

8 + 4x = -4

                   subtract 8 from both sides

4x = -12

                   divide both sides by 4

x = -3

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Isolate x's

4x² - 4x + 1 = 0

Step 2: GCF

4(x² - x + 1/4) = 0

x² - x + 1/4 = 0

Step 3: Factor

(x - 1/2)² = 0

Step 4: Solve

√(x - 1/2)² = √0

x - 1/2 = 0

x = 1/2

And we have our final answer!

Step-by-step explanation:

Answer:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center and r is the radius of the circle.

To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:

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

The points given are (12,8) and (4,6), so plug in the coordinates into the formula.

Center = (1/2)(12+4),(1/2)(8+6)

            = (8,7)

Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:

[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]

Radius = √(x₂- x₁)² + (y₂-y₁)²

            = √(12- 8)² + (8-7)²

            = √(4² + 1²) = √(16+ 1) = √17

            = r² = 17

Now that the radius and the center are known, the equation of the circle can be written as:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Answer:

36.67 or 36 and 2/3

Step-by-step explanation:

.4x + 2x = 88 divide by .4

x + 5x = 220 add like terms

6x = 220 divide by 6

x = 36.67 or 36 and 2/3

Answer:

I think its 2

Step-by-step explanation:

I counted by ones and then i found that the pint is between 4 and 2 so when i divided 4 by 2 and i got 2

Answer:

no

no

yes

Step-by-step explanation:

the first two tables have inputs which solve for more than one output which means they are not functions

Answer:

rounder to the nearest integer is 174

Step-by-step explanation:

1/4 of 697 = 174.25

0.25 is under 0.50

Answer:

174

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

3x + 20 = 5x - 16

Subtract 20 from both sides

3x + 20 - 20 = 5x - 16 -20

3x = 5x -36   {Now subtract 5x from both sides}

3x - 5x = 5x - 36 +5x

-2x = -36    {Divide both sides by (-2)}

-2x/-2 = -36/-2

x = 18

Step-by-step explanation:

(3x+20)=(5x-16)

combination of like terms

3x-5x= -16-20

-2x= -36

x= -36/-2

x=18

Answer:

#8 : x=15−y

#9: [tex]\frac{c}{b} -\frac{ax}{b}[/tex]

#10: y=2A−x

#7: T=[tex]\frac{P}{IR}[/tex]

Step-by-step explanation:

Answer:

A = 348

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is:

A = 2(wl + hl + hw)

Plug in the numbers accordingly:

A = 2(6 · 9 + 8 · 9 + 8 · 6)

A = 2(54 + 72 + 48)

A = 2(174)

A = 348