Which table contains only values that satisfy
the equation y = 1.5x + 4
A
B
х
у
y
0
4
10
4
2
17
2
55
4
10
4
17
6
13
6
8.5
C
D
х
у
х
у
0
0
0
0
2
17
2.
4
10
4
5.5
Need H
16
13
0

Answer:

a) Because both sides are perfect squares b) (x-4)² – 28 = 8

(x–4)² = 36

Square root both sides

√(x–4)² = √36

x–4 = 6

x= 10

Step-by-step explanation:

(x–4)(x–4) = 36

x² – 8x+ 16 = 36

x² – 8x – 20 = 0

(x² + 2x)( –10x – 20) = 0

x(x+2) – 10(x+2) = 0

(x+2)(x–10) = 0

x = 10 or –2

x = 10

a.  If the power of x is 2 then the value of x will be 2.

b.  The values of the x are 6 and -2.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].

a.  If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.

b.  The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].

On simplifying

Add 28 both the sides, we have

[tex]\rm (x- 4)^2 = 36[/tex]

Taking square root both the sides, then we have

[tex]\rm x- 4 = \pm 6[/tex]

Add 4 both the sides,

[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]

Thus, the values of x are 6 and -2.

More about the simplification link is given below.

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Answer:

comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Step-by-step explanation:

Based on the modern method of archeological findings used, it is the view of some scientists that the best plan to test the hypothesis (assumption) that early tetrapods might have evolved from lobe-finned fishes involves comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Answer:

8/17 or 47% or .47

Step-by-step explanation:

8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun

The required probability is 8/17 that the spinner lands on blue or green.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.

The total number of outcomes. = 6 + 6 + 3 + 2

So n(S) = 17

Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8

Consider the experiment of once spinning the spinner.

The probability of the spinner landing on blue or green will be

⇒ P(E) = n(E)/n(S)

⇒ P(E) = 8/17

Therefore, the required probability is 8/17 that the spinner lands on blue or green.

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Answer:

hewo nice to meet ya

Step-by-step explanation:

hi hello

Answer:

Hola!

*Spanish*

Gracias por los puntos!

Answer:

Step-by-step explanation:

Answer:

16^(3/2)=64

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hey man. trust me. quack

Answer:

i think that the answer might be d

Answer:

∠GHJ and ∠FEC

Step-by-step explanation:

Alternate exterior angles are two angles that lie on the outer part of the parallel lines but on different sides.

∠GHJ and ∠FEC lie on the outer parts of the parallel lines, but different sides.

∠GHJ is on the lower left side.

∠FEC is on the upper right side.

Answer:

true

Step-by-step explanation:

the total surface area of a solid is the sum of all faces both the bottom (base) and the top

Answer:

Shirt A, Skirt A, Shoe A

Shirt A, Skirt A, Shoe B

Shirt A, Skirt B, Shoe A

Shirt A, Skirt B, Shoe B

Shirt A, Skirt C, Shoe A

Shirt A, Skirt C, Shoe B

The number of ways Natalie has to choose outfits for her first day school is 28 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes.

Let 7 pairs of pants be P1, P2, P3, P4, P5, P6 and P7.

Let 2 t-shirts be T1 and T2

Let 2 pairs of shoes be S1 and S2

Now,

1) P1, T1, S1                                      

2) P1, T2, S2

3) P2, T1, S1

4) P2, T2, S2

5) P3, T1, S1

6) P3, T2, S2

7) P4, T1, S1

8) P4, T2, S2

9) P5, T1, S1

10) P5, T2, S2

11) P6, T1, S1

12) P6, T2, S2

13) P7, T1, S1

14) P7, T2, S2

15) P1, T1, S2                                      

16) P1, T2, S1

17) P2, T1, S2

18) P2, T2, S1

19) P3, T1, S2

20) P3, T2, S1

21) P4, T1, S2

22) P4, T2, S1

23) P5, T1, S2

24) P5, T2, S1

25) P6, T1, S2

26) P6, T2, S1

27) P7, T1, S2

28) P7, T2, S1

Other way = 7×2×2

= 28 ways

Therefore, the number of ways is 28 ways.

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Answer:

17 and 22 edge 2021

Step-by-step explanation:

Answer:

x²+y²=√(2/7 x-y)

is the answer, i think

Answer:

[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]

Answer:

12

Step-by-step explanation:

have a good day/night

may i please have a branlliest\

sorry if it wrong

Answer:

-9

Step-by-step explanation:

2(-x)² - 5 = 157

2x² - 5 = 157

add 5 to each side of the equation:

2x² = 162

divide both sides by 2:

x² = 81

√81 = 9 or -9

Answer:

b

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

D [tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Step-by-step explanation:

Center of the circle (h, k) = (-6, 1)

Area of the circle [tex] =\pi r^2 [/tex]

[tex] 7\pi=\pi r^2 [/tex]

[tex] \frac {7\pi}{\pi} =r^2 [/tex]

[tex]r^2=7[/tex]

[tex]r=\sqrt 7[/tex]

Radius [tex] r=\sqrt {7}[/tex]

Equation of circle in center radius form is given as:

[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] [x - (- 6)] ^2 +[y-1 ]^2 =(\sqrt {7})^2 [/tex]

[tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Step-by-step explanation:

To prove :

( 1 - sin x ) ( 1 + sin x ) = sec² x

LHS : -

( 1 - sin x ) ( 1 + sin x )

Formula / Identity : -

( a - b ) ( a + b ) = a² - b²

Here,

a = 1

b = sin x

( 1 - sin x ) ( 1 + sin x )

= 1 - sin² x

Identify : -

sin² θ + cos² θ = 1

cos² θ = 1 - sin² θ

Similarly,

1 - sin² x

= cos² x

= RHS

Hence verified.

Answer:

2.9%

Step-by-step explanation:

Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.

The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:

FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)

Where;

FV = Future value or the expected amount when he retires = ?

D = Monthly deposit = $200

r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333

n = number of months = (67 -  22) * 12 = 540

Substituting the values into equation (1), we have:

FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)

FV = $758,518.94

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Answer:

26

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Well its a incomplete Question but i am solving a realted type Question .

• Find the slope of the line -3x - 4y = 12 :-

Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,

⇒ -3x -4y = 12

⇒ -4y = 12 +3x

⇒ y = 3x + 12 /4

⇒ y = 3/4x + 12/3

⇒ y = ¾x + 4

⇒ m = ¾

⇒ c = 4

Answer:

3 times 20 equals 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

is/of = %/100

'x' = # coins

3/x = 5/100

cross-multiply

5x = 300

x = 60

Answer:

y = 2^{x}

Step-by-step explanation:

Given the above data for x and y.

From the algebraic expression;

y = 2^{x}

We can deduce that the value of y is equal to two (2) raise to the power of x.

When x = 1, y = 2

y = 2^{x}

y = 2^{1}

y = 2

When x = 2, y = 4

y = 2^{x}

y = 2^{2}

y = 4

When x = 3, y = 8

y = 2^{x}

y = 2^{3}

y = 8

The above calculations can be used to determine the other values of y with respect to x.