Determine whether f(x) = -5x^2+ 3x + 4 has a maximum or minimum.

Answer:

B' = {1, 3, 5, 6, 7}

Step-by-step explanation:

U = {1, 2, 3, 4, 5, 6, 7, 8}

B = {2, 4, 8}

So the complement  ( the set of elements in U but not in B) is:

B' = {1, 3, 5,  6, 7}

Answer:45 divided by 3 is 15

Step-by-step explanation:

Answer:

its 15

I'm bad at explaning

The coordinates of Point [tex]D'[/tex] are [tex](42, 0)[/tex]

[tex]\text{Algebraic Representation: } (x,y) \to (7x,7y)[/tex]

Answer:

y=95

Step-by-step explanation:

17x5=85

180-85=95

y=95

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.

∠1 = ∠3

5x° = 85°

x = 85° / 5

x = 17°

Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,

∠1 + ∠2 = 180°

5x + y = 180°

Substitute the value of x,

5(17°) + y = 180°

85° + y = 180°

y = 180° - 85°

y = 95°

Hence, the value of x and y is 17 and 95, respectively.

The complete question is mentioned below.

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Answer:

C. 2/3

Step-by-step explanation:

To find the slope of a line from two points, use this formula.

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

The variable 'm' means slope in algebra.

y² means the second y-coordinate and y^1 means the first y-coordinate.

Based on the previous definition, it should be easy to figure out what x² and x^1 mean.

[tex](2,4),(5,6)[/tex]

[tex]m=\frac{6-4}{5-2} =\frac{2}{3}[/tex]

Therefore, the slope of the line passing through the points (2,4) and (5,6) is 2/3.

Let me know if you have any questions.

Answer:

Step-by-step explanation:

2)

80 +67 +97+ 98 +85 +72 = 499

499/6=83.1666666667

Average: 83.1666666667

3)

a) 97 93 92 90 90 90 86 =90

median of Edgars grades for his midterm is 90

99 93 93 89 88 88 86

median of Edgars grades for his trimester is 89

7)

(z+9+18)= z+27 (remember don't mix the numbers if they are attached to the x)

(z+18+9)= z+27 (because adding is both ways the same)

a) a + b =b + a

Geometry

1.

a) 6x^2

b)The surface area of a cube = 6a^2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, x is just the length of one side of a cube

c) The unit would be sq(squared) feet

Answer:

Ratio should be equal so ratio is 3:3

The ratio of the triangles to circles in the diagram below would be; 1: 1

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained.

Thus, there are three circles and three triangles shown in the figure.

Therefore, the ratio will be;

three circles: three triangle

3 : 3

1: 1

Hence, the ratio of the triangles to circles in the diagram below would be; 1: 1

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A is true: 1 > 0, and f (1) = 1² - 1 = 0.

B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.

C is false: 4 > 0, and f (4) = 4² - 1 = 15.

D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.

Step-by-step explanation:

1. Line l can be named as line FBD

2. B and C

3. Colinear:-A,B,C

No-Colinear:-F,B,C

4. 6

5. DE = 13

2 + 2x - 3 = 13

2x - 1 = 13

2x = 12

x = 12/2

x = 6

Answer:

The intersection of line l is AC and the intersection of line m is FD.

Intersection line means the line which passes the line by crossing it.

Answer:

136 miles

Step-by-step explanation:

Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.

Let x = number of miles.

The total cost is the cost per mile plus the base fee.

1 mile costs $0.90

2 miles cost $0.90 * 2

x miles cost $0.90 * x, or simply 0.9x

The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95

The equation

c = 0.9x + 16.95

gives you the cost, c, for a rental of x miles.

We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.

139.35 = 0.9x + 16.95

Switch sides.  

0.9x + 16.95 = 139.35

Subtract 16.95 from both sides.

0.9x = 122.4

Divide both sides by 0.9

x = 122.4/0.9

x = 136

Answer: 136 miles

Answer:

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

Step-by-step explanation:

In the slope-intercept form y= mx +b, m is the slope and b is the y- intercept.

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} } [/tex]

Using the formula above,

[tex]slope = \frac{5 - ( - 4)}{2 - ( - 4)} [/tex]

[tex]m = \frac{5 + 4}{2 + 4} [/tex]

[tex]m = \frac{9}{6} [/tex]

[tex]m = \frac{3}{2} [/tex]

Substitute the value of m into the equation:

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

To find the value of b, substitute a pair of coordinates into the equation.

When x= 2, y= 5,

[tex]5 = \frac{3}{2} (2) + b[/tex]

5= 3 +b

b= 5 -3

b= 2

Thus, the equation of the line is [tex]y = \frac{3}{2} x + 2[/tex].

8) v = -3

9) m = 4

Explanation:

8)

[First distribute the factored terms on the left side of the equation]

2(v + 4) + 3(4v + 5) = -19 →

2(v) + 2(4) + 3(4v) + 3(5) = -19 →

2v + 8 + 12v + 15 = -19 →

[Next, add the like terms together]

(2v + 12v) + (8 + 15) = -19 →

14v + 23 = -19 →

[Subtract 23 from both sides to isolate the constant term]

14v + 23 – 23 = -19 – 23 →

14v = -42 →

[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]

14v / 14 = -42 / 14 →

v = -3

9)

[Start by distributing the factored term on the left side of the equation]

2(m – 1) = 10 – m →

2m – 2 = 10 – m →

[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]

2m – 2 + m = 10 – m + m →

3m – 2 = 10 →

[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]

3m – 2 + 2 = 10 + 2 →

3m = 12 →

[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]

3m / 3 = 12 / 3 →

m = 4

Answer:

its 18 trust

Step-by-step explanation:

Step-by-step explanation:

Objective; Translating points

A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.

Algebracially:

[tex](x + h)[/tex]

where h is the amount of units we move right or left

and

[tex](y + k)[/tex]

where k is the amount of units we move up or down

For 1. We are asked to translate the figure 3 units up and 7 units to the left.

7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is

Our new coordinates

E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).

2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.

So our new coordinates is

T' (1,3)

U' (4,3)

V'(4,5)

W'(1,5)

Answer:

33

Step-by-step explanation:

14 - 8 + 3 + 8 × [24 ÷ 8] =

14 - 8 + 3 + 8 × 3 =

14 - 8 + 3 + 24 =

6 + 3 + 24 =

9 + 24 =

33

Answer:

14-20×(24÷8)=-6×{3}=-18

Answer:

x=37°

Step-by-step explanation:

2x°=74° (vertically opposite angles)

2x°/2=74°/2

x=37°

74° = 2x°

2x° = 74°

x° = 74° : 2

x° = 37°

Answer:

Answer: 3^-2

Step-by-step explanation:

[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Evaluate the power

[tex]\frac{1^2}{3^2}[/tex]

Divide

[tex]\frac{1}{9}[/tex]

Answer:

Top right corner.

Step-by-step explanation:

[tex]9.28+2x=18.14\\2x=8.86\\x=4.43[/tex]

Since x = 4.43, we want the point to be around halfway from 4 to 5 therefore the top right corner should be closest.

हसब्झन्झजझ हज जज्ज जनक ककक्कजज्ज

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

12,000

Step-by-step explanation:

40*3 = 120

120*100 = 12,000

Answer:

Its the C graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{1}{7} \times x = 1[/tex]

[tex]7 \times \frac{1}{7} x = 7 \times 1[/tex]

[tex]7 \times \frac{1}{7} x = 7[/tex]

[tex]\boxed{\green{x = 7}}[/tex]

◇◇•◇◇

[tex]x \times \frac{1}{11} = 1[/tex]

[tex] \frac{1}{11} x = 1[/tex]

[tex]11 \times \frac{1}{11} x = 11 \times 1[/tex]

[tex]11 \times \frac{1}{11} x = 11[/tex]

[tex]\boxed{\green{x = 11}}[/tex]

♤♤•♤♤

[tex]1 \div \frac{1}{5} = 1 \times \frac{5}{1} [/tex]

[tex]1 \times 5[/tex]

[tex] \boxed{\green{= 5}}[/tex]

Answer:

15 m and 20 m

Step-by-step explanation:

Let the width be x

Length = x + 5

Perimeter = 2(l + b)

70 = 2(x + 5 + x)

70/2 = 2x + 5

35 = 2x + 5

35 - 5 = 2x

30 = 2x

30/2 = x

15 = x

Length = x + 5 = 20 m

Breadth = x = 15 m

The answer is 624,151

Sorry if I'm wrong

let the last number be x

we know,

[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]

[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]

[tex] \hookrightarrow \: 32 = 22 + x[/tex]

[tex] \hookrightarrow \: x = 32 - 22[/tex]

[tex] \hookrightarrow \: x = 10[/tex]

therefore, the last number is 10.

the answer is C. -1

Step-by-step explanation:

-1 is the smallest number