please help me in questions 15 and 21 with their inequalities and graph

Answer:

2nd option

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here a = - 1 < 0 then maximum

The maximum value is the value of the y- coordinate of the vertex

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

Here a = - 1 and b = 3 , then

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

Substitute this value into the equation for corresponding y- value

y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]

Then maximum value of [tex]\frac{5}{4}[/tex]

Answer:

shortest to longest -

B-77

A-59

C-44

Step-by-step explanation:

To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

I HOPE THIS IS CORRECT!! SORRY IF NOT!!

Answer:

B

Step-by-step explanation:

[tex]x - 8 > - 3 \\ x > 5[/tex]

Answer:

C

Step-by-step explanation:

Equations of lines that are perpendicular have gradients that are negative reciprocals of each other. This means that the gradient of one of the lines is negative 1 times the fraction flipped.

With the equations presented in the form y = mx + c, the gradient is m. This means you need to look for the values of m where one is the negative reciprocal of the other.

In C, the first gradient is 6/11. The reciprocal (flipped) is 11/6. Make this negative and you get -11/6, which is the gradient of the second equation, so these lines are perpendicular.

Answer:

m ∠ A = 139° ; m ∠ B = 41°

Step-by-step explanation:

Supplementary angles sum = 180°

m ∠A + m ∠ B = 180°

 (7x - 15) + (2x - 3) = 180°

9x - 18 = 180°

9x = 180 + 18

9x = 198°

x = 22

m ∠A  = 7x - 15 = (7·22) - 15 = 154 - 15 = 139°

m ∠ B = 2x - 3 = (2·22) - 3 = 44 - 3 = 41°

Check:  m ∠ A + m ∠ B = 180°

                 139° + 41° = 180

Answer:

81

Step-by-step explanation:

Answer:

(2)

Step-by-step explanation:

slope:-1/2

y-intercept:1   (because the function passes (0,1))

The slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is: slope: -2; y-intercept: 2.

A linear function is a type of function where the rate of change of the dependent variable (y) with respect to the independent variable (x) is constant. In other words, the graph of a linear function is a straight line.

To determine the slope and y-intercept of the linear function graphed, we can use the slope-intercept form of a linear equation, which is:

y = mx + b

Where m is the slope and b is the y-intercept.

Looking at the graph, we can see that the line passes through the y-axis at the point (0, 2), which means that the y-intercept is 2. To find the slope, we can choose any two points on the line and use the formula:

slope = (change in y) / (change in x)

For example, we can choose the points (-1, 0) and (1, -4) which lie on the line. The change in y is -4 - 0 = -4, and the change in x is 1 - (-1) = 2. Therefore, the slope is:

slope = (change in y) / (change in x) = -4 / 2 = -2

Hence, the slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is:

slope: -2; y-intercept: 2

Thus, the answer is slope: -2; y-intercept: 2.

For more details regarding linear function, visit:

https://brainly.com/question/21107621

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Answer:

is it this?I just searched

Answer:

72m

Step-by-step explanation:

since 5cm is 6m, just take 5 and make it 6, so 10cm is 12m and 5cm is 6m

multiply, and you get the answer

Step-by-step explanation:

2b - 3/3 - 5 = 10

2b - 1 - 5 = 10

2b - 6 =10

2b -6 +6 = 10 +6

2b = 16

b = 8

Find the slope of the parallel line

When two lines are parallel, they have the same slope.

                ⇒  if the slope of this line = 1

                     then the slope of the parallel line (m) = 1

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  (5, 4)  

                              ⇒  y - 4 = 1 (x - 5)                                

                                ∴  y - 4  = x - 5

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                     since    y - 4 = x - 5

To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.                        

x=8

I hope this helps I would appreciate brainliest if possible :)

Answer:total is 180. Subtract 100. Then it’s 80

Step-by-step explanation:

180-100=80 degrees. It applies for the ones across.

In basic the answer is x=80

Answer:

b=-1

Step-by-step explanation:

given.3b+(-5)=(2b)³(-3)2+6=?

3b-5=8b-6+6

3b-5=8b

-5=8b-3b

-5=5b

-5/5=5b/5

b=-1

-3-5=-8-6+6=?

-8=-8=-8

Answer:

the awnser is -1

Step-by-step explanation:

4+(-3)=1

1+-2=-1

Answer:

-1

Step-by-step explanation:

First, lets combine like terms (negatives with negatives)

-3 + -2 = -5

4-5 simplified equations from before

4-5= -1

so your answer is -1

hope this helps :)

Answer:

10x^3+9x^2-9

Step-by-step explanation:

8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms

10x^3+9x^2-9

Answer:

[tex]\boxed{\boxed{\sf 6x^3+9x^2+6x-9}}[/tex]

Step-by-step explanation:

[tex]\sf \left(8x^3+3x-2\right)+\left(9x^2-7+3x-2x^3\right)[/tex]

[tex]\sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]

Note: If there is a negative sign in front of  parentheses, each term within the expression changes sign.

[tex]\Longrightarrow \sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]

Now, we need to organize expression into groups like terms:

[tex]\Longrightarrow \sf (8x^3, -2x^3)\: (3x, 3x)\:(-2,-7)[/tex]

[tex]\longmapsto\sf 8x^3-2x^3=6x^3[/tex]

[tex]\longmapsto\sf 3x+3x=6x[/tex]

[tex]\longmapsto\sf -2-7=-9[/tex]

[tex]\boxed{\sf 6x^3+9x^2+6x-9}[/tex]

_____________________________

Answer:

A. -10

B. 147

Step-by-step explanation:

-90 ÷ 9 = -10

7 · 21 = 147

Hope this helps!

Answer:

$310.8 khoydoydydyiivkfi

Answer The picture shows you where to place your line

Step-by-step explanation:

Answer:

Quadrants I and II

Step-by-step explanation:

y = x²

y = 3x + 10

x² = 3x + 10                     Substitute x² for y

x² - 3x - 10 = 0                 set the equation = 0

(x - 5) (x + 2)                     Factoring

x - 5 = 0 ; x + 2 = 0

x = 5 or x = -2

Now solving the y

y = x²     or     y = x²

y = (5)²   or y = (-2)²  

y = 25   or  y = 4

The points of interception is points (5, 25) or (-2, 4)  

(5, 25)  in Quadrant I ; (-2, 4) in Quadrant II

Answer:

refer to attachment

Step-by-step explanation:

hope it helps you

19th. = 120 yds

plzz plzzz plzz mark as brainliest.

Answer:

3.5 grams

Step-by-step explanation:

8/8=1, 28/8=3.5

3.5 grams per serving

Answer:

30

Step-by-step explanation:

Answer:

(x+8, y+4).

Step-by-step explanation:

8 units to the right followed by 4 units up.

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Let x = 0.757575... . Then

100x = 75.757575...

and so

100x - x = 75.757575... - 0.757575...

99x = 75

x = 75/99 = 25/33

Rearrange terms

2(4+9m)

2(9m+4)

Distribute

2(9m+4)

18m+8

Solution

Solution18m+8

[tex]2(4+9m)[/tex]

[tex]2(9m+4)[/tex]

[tex]18m+8[/tex]

(Therefore, 18m+8 is the final answer)

Answer:

hm?

Step-by-step explanation:

Answer:  $20

Step-by-step explanation:

We will assume that there is a per-person cost:

$16/4 attendees = $4/attendee

($4/attendee)*5 attendees = $20

Answer:

42

Step-by-step explanation:

Heres the signifigance,

"The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years."

Hope this Helps

Answer:

42

Step-by-step explanation:

"The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. "

Source: wikipedia

Answer:

Sara's mother age : 40 years

Sara's age : 10 years

Step-by-step explanation:

Let Sara's mother age be x

and Sara age be y

Given , Sara's mother is now four time as old as Sara

• x = 4y ...1

also, in five years , she will be three times as old as Sara

In five years , Sara's mother age :- ( x + 5 )

Sara age :- ( y + 5 )

according to the question,

x + 5 = 3 ( y + 5 )

x + 5 = 3y + 15

x - 3y = 10 ... 2

putting value of x from 1 into 2

4y - 3y = 10

y = 10

putting y value in 1

x = 4y = 4 ( 10 ) = 40

So, Sara's mother age is 40years

and Sara's age is 10years .