What value of x is in the solution set of 4x – 12 ≤ 16 + 8x?Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

[tex]-x^{2} +4x+12[/tex]

Let us rewrite by letting it equal to [tex]y[/tex].

[tex]y=-x^{2} +4x+12[/tex]

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

[tex]y=ax^{2} +bx+c[/tex]

we get:

[tex]a = -1\\b = 4\\c = 12[/tex]

Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

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

[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

Answer:

x = 6, y = 1

Step-by-step explanation:

-5x+10y = -20

5x-4y = 26

Adding both equations

=> -5x+10y+5x-4y = -20+26

=> 10y - 4y = 6

=> 6y = 6

Dividing both sides by 6

=> y = 1

Putting y = 1 in the first equation

=> -5x+10(1) = -20

=> -5x = -20-10

=> -5x = -30

Dividing both sides by -5

=> x = 6

Answer:

Step-by-step explanation:

Using the elemination method,

-5x + 10y = - 20

5x - 4y = 26

_____________

6y = 6

divide both sides of the equation by 6

6y/6 = 6/6

y = 1 --------> equation (i)

again,

Finding the value of X,

plugging the value of y from equation (i)

-5x + 10y = -20

or, -5x + 10*1 = -20

or, -5x + 10 = -20

or, -5x = -20-10

or, -5x = -30

or, x = -30/-5

X = 6

Hope this helps....

Good luck on your assignment..

Answer:

A, B and E statements are true

Step-by-step explanation:

Since in the question, it is mentioned that Eli selected two shirts out of pack 5 for a weekend trip

Classify each shirt as A, B, C, D, and E.

Now we have to go through the options

In the first statement it is mentioned that AB and BA are the similar. This is true as it contains in same bag.

Since Eli select two shirts so the second statement is also correct

And, the last statement is also true as he selects shirt B so there are four possible ways to second the second shirt as there are four remaining shirts are left after select one shirt

Hence, A, B and E statements are true

Answer: A, B, and E.

Step-by-step explanation:

A is correct: the combination of AB and BA are the same because they both contain the same letters, just a different order.

B is correct: each shirt can be paired with any one of the other remaining shirts because she will be choosing 2 shirts.

E is correct: If he chooses shirt B, there are 4 possible outcomes for choosing the 2nd shirt. This is true because there is only one B in a group of 5 shirts, so 5-1 = 4 possible outcomes.

Hope this helped.

Have a nice day. :)

Answer:

t=4

Step-by-step explanation:

6+t=10

-6    -6

t=4

Answer:

T=4

Step-by-step explanation:

t+6=10

-6

10-6=4

t=4

Answer:

x=20°

Step-by-step explanation:

X and Z are inscribed with the same arc (40°)

so the value of x and z are the same

X=Z

Z=1/2(inscribed arc)

Z=1/2(40°)

z=20°..... since z=x

X=20°

Answer:

Do you have a photo or some other information to go with this?

Step-by-step explanation:

Answer:

when y=1 then x=0.5

Step-by-step explanation:

The graph is provided.

The equation y=4x-1 can be graphed by first graphing the -1 which is the y-intercept in the y=mx+b form. 4=m that is our slope. you can find the lines second point by moving 4 up and 1 to the right. rise/run =4/1. So when you move 4 up and 1 right you get another point on the line (1,3).

You can find out x=0.5 when y=1 by just tracing your finger over the graph and the point when y equals 1 the line intercepts x=0.5. Another screenshot is given.

I hope this helps!

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

Answer:

The answer is C

Step-by-step explanation:

hope it helps

Answer:

m∠C  =  60°

Step-by-step explanation:

we know that sum of angles of a traingle is 18 degrees.

given

m∠A = 60°+α,

m∠B = 60°−α

we have to find  m∠C

m∠A + m∠B +  m∠C = 180

60°+α +  60° - α +m∠C = 180

+α and -α gets cancelled

120°+m∠C = 180

=> m∠C  =  180° -  120° =  60°

Thus, measure of angle c is  60°.

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

Answer:

The answer is 3 11/21

Step-by-step explanation:

Answer:

              [tex]\underlie{\bold{\ 3\frac{11}{21}\ }}[/tex]

Step-by-step explanation:

[tex]2\frac7{15}\cdot1\frac37=\frac{2\cdot15+7}{15}\cdot\frac{1\cdot7+3}{7}=\frac{37}{15}\cdot\frac{10}{7}=\frac{37}{3}\cdot\frac{2}{7}=\frac{37\cdot2}{3\cdot7}=\frac{74}{21}=\frac{3\cdot21+11}{21}=3\frac{11}{21}[/tex]

Answer:

[tex]4^m[/tex]

Step-by-step explanation:

When you exponent an exponent, you multiply the powers together.

When you divide exponents, you subtract the powers.

Step 1: Convert to same base

log₄64 = 3

Step 2: Rewrite equation

[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]

Step 3: Simplify

[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]

Step 4: Simplify

[tex]4^m[/tex]

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

The third book can be any one of the remining 698.

The total number of ways to gather three books from the shelves into your hands is  (700 · 699 · 698)  =  341,531,400 ways .

BUT ...

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves.  You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

So, even though there are 341,531,400 ways to gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.

Step-by-step explanation:

Side a = 63

Side b = 21

Side c = 66.40783 = 21√10

Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad

Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad

Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5

Perimeter p = 150.40783

Semiperimeter s = 75.20392

Height ha = 21  

Height hb = 63

Height hc = 19.92235

Median ma = 37.85829  

Median mb = 63.86901

Median mc = 33.20392

Inradius r = 8.79608  

Circumradius R = 33.20392  

Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]

Centroid: [24.34954, 6.64078]

Inscribed Circle Center: [12.20392, 8.79608]

Circumscribed Circle Center: [33.20392, 0]

Answer:

Option D

Step-by-step explanation:

Area of trapezium = sum of 2 parallel sides × height / 2

Here the two parallel sides are = 8 in. and 12 in.

And height = 7 in.

∴ Area of the trapezium = ( 8 + 12 ) × 7 / 2

= 20 × 7 / 2

=70 in^2

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

0( no birds)

Step-by-step explanation:

if you shoot one, the rest will fly away

Answer:

14 alive birds, but 15 in total.

Step-by-step explanation:

15-1=14, or 15-0=15. the dead one still exists

Answer:

b,d,e,f and g

Step-by-step explanation:

A binomial is a polynomial with 2 terms

● a has only one term (15)

● b has two terms 15x and 2 so it is a binomial

● c has only one term so it's not a binomial

● d has two terms 512v^5+ 99w^5

● e has also two terms -6y^2 and (-79)x

● f= 2(3x+4) = 6x+8 so f has two terms then it's a binomial

● g has also two terms

Answer:

88 cm²

Step-by-step explanation:

The perimeter of each square is 22 cm

we should divide by 4 to get the length of the square

22/4=5.5 cm

so we should multiply by 2 to get the length of the rectangle

5.5*2= 11

the perimeter is :

P= 5.5+5.5+5.5+11+11+5.5+5.5+11+11+5.5+5.5+5.5 =  88 cm²

Answer:

C = 2πr = 2 * 3.14 * 20 = 125.6

Answer:

[tex]\huge\boxed{C\approx125.6}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=d\pi=2\pi r[/tex]

d - diameter

r - radius

We have the radius r = 20.

Substitute:

[tex]C=2\pi(20)=40\pi[/tex]

use π ≈ 3.14

[tex]C\approx(40)(3.14)=125.6[/tex]

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

Answer:

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

Answer:

Option (3).(Bottom left)

Step-by-step explanation:

Formula for the exponential growth is,

h(x) = [tex]a(1+\frac{r}{100} )^{t}[/tex]

where r = rate of exponential growth

a = initial amount

t = duration or time

Option (1) (Top left)

h(t) = [tex](1+0.18)^{\frac{t}{6}}[/tex]

     = [tex](1+\frac{18}{100})^t[/tex]

Rate of exponential growth will be,

r = 18%

Option (2) (Top right)

k(t) = [tex](\frac{3}{8})^t[/tex]

     = [tex](1-\frac{5}{8})^t[/tex]

     = [tex](1-0.625)^t[/tex]

     = [tex](1-\frac{62.5}{100})^t[/tex]

r = -62.5%

This function shows the exponential decay rate of 62.5%.

Option (3) (Bottom left)

f(t) = [tex]1.36^t[/tex]

    = [tex](1+0.36)^t[/tex]

    = [tex](1+\frac{36}{100})^t[/tex]

r = 36%

Option (4) (Bottom right)

g(t) = [tex]0.86^t[/tex]

     = [tex](1-0.14)^t[/tex]

     = [tex](1-\frac{14}{100})^t[/tex]

r = -14%

This function shows the decay rate of 14%.

Therefore, Option (3). (Bottom left) shows the greatest exponential growth.

Answer:

1: b

2: c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-D

2-B

Answer:

9. A cylinder

10. A cone

Step-by-step explanation:

You sketched the shapes right

Answer:

Please look below for your answer

Step-by-step explanation:

The first is a cylinder and the second is a cone. Those are amazing drawings B.T.W. I love them

I hope I helped

Please mark me as brainliest

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

Answer:

when the square on the hypotenuse of a right-angled triangle is equal in to the sum of the squares on the other two sides

Step-by-step explanation:

let's say......

h = ?

o = 4

a = 4

a^2+o^2=32

square root 32

5.65685424949

that is the value for h

Answer:

A^2+B^2=C^2

you use it the find any length of a right angled triangle

Answer:

To divide it into the above ratio we must first find the total parts which is

3 + 4 = 7

First part is

3/7 × 35

= 3 × 5

Second part is

4/7 × 35

= 4 × 5

Hope this helps you.

Answer: 1,914

Step-by-step explanation:

first we take down the information given to us

For 92% confidence, z = 1.75

Error of margin  E = 2% = 0.02

Since no estimate of population proportion has been given, we will assume:

p = q = 0.50

Hence,  

Sample size required n

n = ( z/E)² × p × q

n = ( 1.75/0.02)² × 0.5 × 0.5

n = (87.5)² × 0.5 ×0.5

n =  1914

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Functions.

so after plotting the graphs, we get as,

==> m = 2.5

==> b = 0

==> y = mx+c

a straight line

Answer:

your answer is, because i got it right your welcome

Step-by-step explanation: