multiply (3p+4q) by (3m+2n).​

To sketch the graph we have to solve the function with each value of x to get the coordinates.

f(x) = x² − 4x − 5

−2 ≤ x ≤ 6

This inequality represents the domain for x. Therefore x is greater than equal to -2 but less than equal to 6.

The range of x is as follows:

x = -2, -1, 0, 1, 2, 3, 4, 5, 6

We already have the values for x therefore, we must substitute the values of x into the function f(x) = x² − 4x − 5 to find the y values.

Solutions:

For x = -2

f(x) = x² − 4x − 5

= -2² − 4(-2) - 5

= 4 + 8 - 5

= 7

Point = (-2,7)

For x = -1

f(x) = x² − 4x − 5

= -1² - 4(-1) - 5

= 1 + 4 - 5

= 0

Point = (-1,0)

For x = 0

f(x) = x² − 4x − 5

= 0² - 4(0) - 5

= 0 - 0 - 5

= -5

Point = (0,-5)

For x = 1

f(x) = x² − 4x − 5

= 1² - 4(1) - 5

= 1 - 4 - 5

= -8

Point = (1,-8)

For x = 2

f(x) = x² − 4x − 5

= 2² - 4(2) - 5

= 4 - 8 - 5

= -9

Point = (2,-9)

For = 3

f(x) = x² − 4x − 5

= 3² - 4(3) - 5

= 9 - 12 - 5

= -8

Point = (3,-8)

For x = 4

f(x) = x² − 4x − 5

= 4² - 4(4) - 5

= 16 - 16 - 5

= -5

Point = (4,-5)

For x = 5

f(x) = x² − 4x − 5

= 5² - 4(5) - 5

= 25 - 20 - 5

= 0

Point = (5,0)

For x = 6

f(x) = x² − 4x − 5

= 6² - 4(6) - 5

= 36 - 24 - 5

= 7

Point = (6,7)

Coordinates for graph = (-2,7) , (-1,0) , (0,-5) , (1,-8) , (2,-9) ,  (3,-8) ,  (4,-5) , (5,0) ,  (6,7)

These are the points to sketch the quadratic graph.

Answer:

Take a look at this: https://brainly.com/question/14269575?referrer=searchResults

Step-by-step explanation:

Answer:

C) [tex] 6.495\: ft^2 [/tex]

Step-by-step explanation:

a = 7 ft, b = 3 ft, c = 5 ft (Given)

Therefore, a + b + c = 7 + 3 + 5 = 15 ft

Let's calculate semi Perimeter of the triangle which is given by s

[tex] s =\frac{a+b+c}{2}=\frac{15}{2} = 7.5 \: ft[/tex]

Now, by Heron's formula, area of triangle ABC is given as:

[tex] A(\triangle ABC) =\sqrt{s(s-a) (s-b)(s-c)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{7.5(7.5-7) (7.5-3)(7.5-5)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{7.5(0.5) (4.5)(2.5)} [/tex]

[tex]\therefore A(\triangle ABC) =\sqrt{42.1875} [/tex]

[tex]\therefore A(\triangle ABC) =6.49519053 [/tex]

[tex]\therefore A(\triangle ABC) =6.495\: ft^2 [/tex]

Answer:

152-88 = 64

Step-by-step explanation:

Answer:

29%

Step-by-step explanation:

First, let's fill in the table.

Male:

Freshmen: 4

Sophomore: 6

Juniors: 2

Seniors: 2

Total: 4 + 6 + 2 + 2

Total: 14

Female:

Freshmen: 3

Sophomore: 4

Juniors: 6

Seniors: 3

Total: 3 + 4 + 6 + 3

Total: 16

Now, to find the probability that a male would be a freshmen, we would do:

4/14

Convert it to a decimal:

.285

Convert to percentage:

29%

So, there is a 29% chance that a male is a freshmen.

Answer:

Average employee [Mean] = 43.6

Step-by-step explanation:

Given:

Interval   Number of employee

25-35                      20

35-45                      7

45-55                      8

55-65                     15

Total                       50

Find:

Average employee [Mean]

Computation:

Interval     X[u+l]/2 Number of employee   fx

25-35         30           20                              600

35-45         40             7                              280

45-55         50            8                              400

55-65         60            15                             900

Total                           50                            2,180

Average employee [Mean] = Sum of fx / Sum of x

Average employee [Mean] = 2,180 / 50

Average employee [Mean] = 43.6

Answer:

aeaaa

Step-by-step explanation:

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

~~~~~~~~~~~~~~~

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

The coordinates of the other endpoint will be (-1,-6). The correct option is C.

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).

The x- coordinate will be calculated as:-

(13 + x)/2 = 6

13+x= 12

x = -1

The y-coordinate will be calculated as:-

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.

To know more about midpoints of the line follow

https://brainly.com/question/24431553

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Answer:

a=0

Step-by-step explanation:

Factor:

a^7 (35-11)

Set it equal to zero and solve:

a^7=0

a=0

Answer:

Doug share the cards with his three other friends.

Step-by-step explanation:

If there were 24 cards and each person was suppose to get 6

24 ÷ 6 = 4

The cards were shared among 4 people including Doug himself.

Have a nice day :)

Answer:

y = -1/3x - 2/3

Step-by-step explanation:

y = -1/3x + b

-2 = -1/3(4) + b

-2 = -4/3 + b

-2/3 = b

Answer:

- 7 / 4

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (1 - -6) / (-5 - -1)

Slope = - 7 / 4

Answer:

Slope: -7/4

Step-by-step explanation:

If you're given two points:

(x_1, y_1) & (x_2, y_2)

The formula for slope is:

(y_2 - y_1)/(x_2 - x_1)

x_1 = -5

x_2 = -1

y_1 = 1

y_2 = -6

Plug them into the slope formula and solve:

(-6 - 1)/(-1 - (-5))

(-7)/(-1 + 5)

-7/4

Hope it helps (●'◡'●)

Answer:

12/49 chance that they are both white

Step-by-step explanation:

We have 2 events going on:

The first bag that contains: 3 white, 4 red

The second bag that contains: 4 white, 3 red

First let's find the probability of picking a white ball from each individual bag (not combing the chances yet):

For the 1st bag, there are 3 white balls out of 7 balls (add 3 and 4).

That means there's a 3/7 chance you'll get a white ball from the 1st bag.

For the 2nd bag, there are 4 white balls out of 7 balls (add 4 and 3).

That means there's a 4/7 chance you'll get a white ball from the 2nd bag.

To find the probability of getting both white from both of the bags, multiply 3/7 & 4/7:

3/7 * 4/7 = 12/49

You can't simplify 12/49 further, so that's your answer!

Hope it helps (●'◡'●)

Answer:

Step-by-step explanation:

the answer is... 2/6

Answer:

50 bags

Step-by-step explanation:

1 kg = 1000 grams

10 kg * 1000g/ 1kg = 10000 g

Divide 10000 grams by 200 g

10000g / 200g = 50

Answer:

A) 80°

Step-by-step explanation:

55° + 45° + (5x + 30)° = 180°

55° + 45° + 30° + 5x = 180°

130 + 5x = 180°

5x = 50°

x = 10°

=> (5x + 30)° = 5*10° + 30° = 50° + 30° = 80

Answer:      I believe the answer would be 1.3

           HOWEVER, if you do have to round to the nearest tenth then the answer would be 1

Step-by-step explanation:    

2x+7 = 12x - 6

(subtract 2x from both sides)

7 = 10x - 6

(add 6 to both sides)

13 = 10x

(divide 13/10)

1.3 = x

Answer:

29/20 or 1 9/20 or 1.45

Answer:

[tex]\frac{1}{5}+\frac{3}{4}+\frac{1}{2}[/tex]

lease common multiplier of 5,4,2 is 20

[tex]\frac{4}{20}+\frac{15}{20}+\frac{10}{20}[/tex]

[tex]Add\: 4+15+10= 29[/tex]

[tex]1/5+3/4+1/2=29/20[/tex]

[tex]Answer :\frac{29}{20}[/tex]

--------------------------

hope it helps

have a great day!!

Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

Answer:

7

Step-by-step explanation:

6m = 3m + 21

6m - 3m = 21

3m = 21

m = 21 / 3

m = 7

Answer:

Missing angle A = 56.1° (approximately)

Step-by-step explanation:

<A = arcsin(a×sin(C)/c)

= arcsin(5×sin 95/6)

= 56.1154084° ≈ 56.1°

Answered by GAUTHMATH

Answer:

$37500

Step-by-step explanation:

Given data

Selling price=$1250000

Commission= 3%

Let us find 3% of 1250000

=3/100*1250000

=0.03*1250000

=$37500

Hence the commission will be $37500

Answer:

The fraction of the pocket money she left is 1/8.

Step-by-step explanation:

Let the total pocket money is p.

Spent on Monday = p/2

Amount left = p - p/2 = p/2  

Spent on Tuesday = 2/3 of p/2 = p/3

Amount left = p/2 - p/3 = p/6

Spent on Wednesday = 1/4 of p/6 = p/24

Amount left = p/6 - p/24 = p/8

So, the fraction of the pocket money she left is 1/8.  

3(y+11) y=12

3(12+11)=?

12+11=23

3x23=69

Answer = 69

I hope this helps :)

Answer:

(y-1)

Step-by-step explanation:

simplified you split y^2-1y+-4y+4 this is further simplified by splitting equation into y(y-1)   -4(y-1) this leaves you with (y-4)(y-1)/(y-4) y-4 will cancel out and you are left with y-1

Answer:

divide 3 by the amount of feet to get to the yards

Step-by-step explanation:

For every three feet, there's always one yard

so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards

Answer:

4.2724289e

+22

Step-by-step explanation:

mzmznznxnxnznxn no n n j j h h h h h h hh h h &

Answer:

[tex]y = 2x^2 + 1[/tex]

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

[tex]y = 2x^2 + 1[/tex]

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

Answer:

D

Step-by-step explanation:

f(x) = x-4

f(3.2) = -3.2-4

= -7.2

Scale is 1 inch to 6 mile.

So, ½ inch = 6 mile/2 = 3 mile

Answer:

it's increasing.

Step-by-step explanation:

I'm not sure what else write here, it's obvious it's increasing

Answer:

Increasing

Step-by-step explanation:

You can see the line moving up on the graph starting from its origin (0,0) then moving to (1,1) then moving slowly up then finally ending at (12,3).