which inequalities pairs with y<-2x-1 to complete the system of linear inequalities represented by the graph?

Answer:

i think the new points are

A(1,-2)

B(-2,-3)

C(4,5)

Step-by-step explanation:

i plugged it in

Answer:

b) 1

Step-by-step explanation:

First, bring the -3 to the right side.

x²+4x + 4

now use b²-4ac.

4²-4(1)(4)

16-16

0

If discriminant < 0 there are 2 imaginary solutions

if discriminant > 0 there are 2 real solutions

if discriminant = 0 there is 1 real solution

The discriminant here is 0 so it has one real solution

Given:

The sequence is:

[tex]6, -24, 96, -384,...[/tex]

To find:

The explicit formula for the given sequence and then find the 16th term.

Solution:

We have,

[tex]6, -24, 96, -384,...[/tex]

The ratio between two consecutive terms are:

[tex]\dfrac{-24}{6}=-4[/tex]

[tex]\dfrac{96}{-24}=-4[/tex]

[tex]\dfrac{-384}{96}=-4[/tex]

The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].

The explicit formula of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]a=6, r=-4[/tex] in the above formula, we get

[tex]a_n=6(-4)^{n-1}[/tex]

We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.

[tex]a_n=6(-4)^{16-1}[/tex]

[tex]a_n=6(-4)^{15}[/tex]

[tex]a_n=6(-1073741824)[/tex]

[tex]a_n=-6442450944[/tex]

Therefore, the explicit formula for the given sequence is  [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].

Answer:

y = -1/6x - 1/2

Step-by-step explanation:

y = -1/6x + b

-1 = -1/6(3) + b

-1 = -1/2 + b

-1/2 = b

Answer:

263

Step-by-step explanation:

424+339=764

1000-764=236

Answer:

34,560 in^3

Step-by-step explanation:

A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep

The amount is cubic feet the trunk will hold can be calculated as follows

= 30×48×25

= 34,560 in^3

Answer:

OPTION B IS YOUR ANSWER.

You know its a quadratic when the second difference of each y value is same.

Here's what I mean.

Option B

First all x values differ by 1. So we're good on those.

Now for the y values

Which are

3, -1, -3, -3, -1

find the difference between the second and first fod each... Then do this a second time.

If it gives the same value for all the second differences... Then its quadratic.

-1-3 = -4

-3-(-1) = -3 + 1 = -2

-3-(-3) = -3 + 3 = 0

-1-(-3) = -1 + 3 = 2.

The values are -4, -2, 0, 2.

Now find the difference of these(2nd - 1st)

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

0-(-2)= 0 + 2 = 2

2 - 0 = 2

Since all second differences gave 2 as their answer....

Option B is your Quadratic Function!!!

Hope this helps!

Answer:

even

Step-by-step explanation:

itz even cos it is divisible by 2

Answer:

6 is even number.

Step-by-step explanation:

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

for example, if 6 divided into 2 groups then 3 in one group and 3 in another group, therefore there are equal groups.

if 7 divided into 2 groups then 3 in one group and 4 in another group, which is not equal.

Answer:

O' (- 3, - 2 )

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , then

O (3, 2 ) → O' (- 3, - 2 )

Answer:

yes it is

Step-by-step explanation:

Answer:

Step-by-step explanation:

D- 344

Answer:

(3, 6)

Step-by-step explanation:

[tex]y=4x-6[/tex]

[tex]6=4(3)-6[/tex]

[tex]6=12-6[/tex]

[tex]6=6[/tex]

[tex]3y=-2x+24[/tex]

[tex]3(6)=-2(3)+24[/tex]

[tex]18=-6+24[/tex]

[tex]18=18[/tex]

x = 3, y = 6

By substitution method,

[tex]y = 4x - 6[/tex]

[tex]3y = - 2x + 24[/tex]

[tex] \frac{3y - 24}{ - 2} = x[/tex]

[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]

[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 42[/tex]

[tex]y - 42 = \frac{12y}{ - 2} [/tex]

[tex] - 42 = \frac{12y}{ - 2} - y[/tex]

[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]

[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]

[tex] - 42 = \frac{14y}{ - 2} [/tex]

[tex] - 42 \times - 2 = 14y[/tex]

[tex]84 = 14y[/tex]

[tex] \frac{84}{14} = y[/tex]

[tex]6 = y[/tex]

[tex]\frac{3(6) - 24}{ - 2} = x[/tex]

[tex] \frac{18 - 24}{ - 2} = x[/tex]

[tex] \frac{ - 6}{ - 2} = x[/tex]

[tex]3 = x[/tex]

Therefore,

The solution is (3, 6).

Answer:

B

Step-by-step explanation:

Look at the figures below.

Figure A.

The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.

Figure B.

The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.

Figure C.

The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.

the SAS is a special forces Unit let's goo

Answer:

25π square inches or 78.5 sq in

Step-by-step explanation:

circumference = π x diameter

thus

10 π inches= π x d

d = 10 inches

area of circle = π x d x d / 4

= π x 10 x 10 x 4

= 25π sq in

= 78.5 sq in

Answer: 299

Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

Suppose they removed x trees in July

for June it is, [tex]\frac{x}{3}[/tex]

for August, it is [tex]2x[/tex]

If they removed less than 1000 tress in 3 months

[tex]\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300[/tex]

So, maximum number of tress removed in July is 299

Answer:

Step-by-step explanation:

48

Answer:

4.4

Step-by-step explanation:

that is the procedure above

Answer:

$10,667.66

Step-by-step explanation:

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

P is the principal = $9000

r is the rate = 3%

time t = 6years

n = 1/4

Substitute

A = 9000(1+0.03/(1/4))^6/4

A = 9000(1+0.03(4))^1.5

A = 9000(1+0.12)^1.5

A = 9000(1.12)^1.5

A = 9000(1.1853)

A = 10,667.67

Hence the amount after 6 years is $10,667.66

Answer:

25

as

2nr

=2×3.14×4

=25.12

=25

Answer:

11/2 miles per hour

Step-by-step explanation:

that is the procedure above

Answer:

122 degrees

Step-by-step explanation:

A parallelogram has 360 degrees in total

360 - (58 + 58) = 244

244/2 = 122

I hope this helped you!

Answer:

x = 122

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

x + 58 = 180 ( subtract 58 from both sides )

x = 122

Answer:

[tex]area = \frac{\pi}{4} \times {r}^{2} \\ = \frac{\pi}{4} \times {7}^{2} \\ = \frac{\pi}{4} \times 49 \\ = 38.48451000647 \: cm \: ans......[/tex]

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*(7)^2

=3.14*49

=153.86 cm^2

perimeter of a circle(circumference)=2πr

=2*3.14*7

=14*3.14

=43.96 cm

Answer:

3ad³

Step-by-step explanation:

Like terms have same variables with same powers.

12ad³ and 3ad³ has same variables a  and d³

Answer:

The answer is 10

Step-by-step explanation:

a + 5 =15

15-5=10

Answer:

Step-by-step explanation:

a+5=15

a=15-5

a=10

Answer:

800 seconds or 13 minutes 20 seconds

Step-by-step explanation:

.......

Answer:

3

X is slope but the equation isnt set up proper

12x-4y=3

-12x -12x

-4y=-12x+3

/-4 /-4

y= 3x+3/-4

Answer:

3

Step-by-step explanation:

Answer:

y = (x+2) + 6

Step-by-step explanation: