which is a solution to x - 3x + 9 equals negative 27

[tex]\sf \large \boxed{110 ^\circ}[/tex]

The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree

The equation of curve 1, which is in the shape of a parabola is, when represented in general form

[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]

So,

x+1=0

x= -1

and,

y = 14

Therefore, the Coordinate of a vertex is (-1,14).

The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.

The equation of curve 2 , which is in the shape of a parabola is , when represented in general form

[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]

So,

x-2=0

x= 2

and, y+1=0

y= -1

Therefore, the Coordinate of a vertex is (2,-1).

The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.

The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.

Learn more about equation;

https://brainly.com/question/10334104

#SPJ1

Answer: y = -2x - 4

Step-by-step explanation:

This question asks that you give your answer in slope-intercept form, which is written as y = mx + b, where m is the slope, and b is the y-intercept.

In order to write an equation for this line in slope-intercept form, you need to find the slope and the y-intercept. You can find the slope by selecting any two clear points on the graph and finding the [change in y] ÷ [change in x].

For example, I’ll use (-3, 2) and (-2, 0):

Change in y: 2 - 0 = 2

Change in x: -3 - (-2) = -1

Change in y ÷ Change in x = 2 ÷ (-1) = -2

So, the slope, m, is -2. Finding b, or the y-intercept is a lot more straightforward; you just find where the line intercepts the y-axis, or when x = 0. Looking at the graph, we can see that the y-intercept is -4, so b = -4.

Now, we can put these together in an equation.

y = mx + b, where m = -2 and b = -4

y = -2x -4

Answer:  it is D 546.817

Step-by-step explanation:

To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?

L=length=15.5 ft; W=width; A=area=>217 sq ft

L*W=>217 sq ft Divide each side by L

W=>217 sq ft/L

W=>217 sq ft/15.5 ft=>14 feet

ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.

Answer:

  at least 14 ft

Step-by-step explanation:

The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.

  A = LW . . . . . . . . . area formula

  A ≥ 217 ft² . . . . . . . . . given constraint

  (15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length

  W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft

The possible width of the region is at least 14 feet.

The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 4×8 = 32  (because 4 cards of 8 design)

The probability of selecting a card with a sunflower or butterfly design:

= 4/32  +  4/32

= 8/32 = 1/4

The probability of selecting a card with a lily, daisy, puppy, or bird design:

= 4(4/32)

= 1/2

The probability of selecting a card with a landscape design:

= 4/32 = 1/8

The probability of selecting a card with a dolphin, sunflower, or landscape design:

= 3(4/32)

= 3/8

Similarly, we can calculate the rest of the probability.

Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

answer is 31 dimes, 11 nickels

see picture attachment for the math

equation is .05N + .10D = 3.65

value of nickels and dimes

using D + N = 42

change to find value of N = 42 - D

plug value of N into the equation and solve

The selection of a random number from 1 - 72 is an illustration of probability, and the probability of selecting a multiple of 9 is 1/8

The sample size is given as:

n = 72

There are 8 multiples of 9 from 1 to 72.

So, the probability that a multiple of 9 is selected is:

P(Multiple of 9) = 8/72

Simplify

P(Multiple of 9) = 1/9

Hence, the probability of selecting a multiple of 9 is 1/8

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

y = 6

1/3 indicates that we may have to multiply the number by 3 to get the whole number. Multiply 3 by the part given, 2.

3 × 2 = 6

Answer:

2.8

Step-by-step explanation:

To find the mean aboslute deviation, you first need to find the mean:

(4 + 6 + 7 + 10 + 13)/5 = 8

Then, subtract the mean from each value, and take the abosulte value. Absolute value is essentially the same number, but if it is negative, make it positive.

4 - 8 = -4 = 4

6 - 8 = -2 = 2

7 - 8 = -1 = 1

10 - 8 = 2 = 2

13 - 8 = 5 = 5

Then, take the mean of all of these values:

(4 + 2 + 1 + 2 + 5)/5 = 2.8

Answer:

12

Step-by-step eplanation:

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 can be made.

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As  7² + 8² ≠ 9²  then the triangle is not a right triangle.

Answer:

V≈25.13in³

Step-by-step explanation:

Answer:

12 cakes.

Step-by-step explanation:

There are 21/3 = 7 slices  from each cake.

84 / 7   = 12.

Answer:

3

Step-by-step explanation:

75% is equal to 3/4

The easiest way to do this is to divide 12 by 4.

12/4 = 3

Now multiply this by three to get 3/4 of 12.

3 x 3 = 9

9 dogs left the shelter.

12 - 9 = 3

There are three dogs left.

The experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex]. is the ratio of the favorable event to the total number of events.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

No of arrows given in the different section ;

Section 1=18

Section 2=30

Section 3=32

The probability that the arrow stopping on Section 2 is found as;

[tex]\rm P = \frac{Favourable \ outcomes }{Total \ outcomes } \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}[/tex]

Hence, the experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex].

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.

Explanation:

There are six important properties of a parallelograms:

The answer to the above question is (D) Diagonals Congruent

Answer:

D

Step-by-step explanation:

Because these are the 7 properties of a parralelgrom

Opposite sides are parallel.

Opposite sides are congruent.

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary. .

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

Answer:

5, 18, 44, 96, 200

Step-by-step explanation:

Given

First term : 5

Second term : a₂ = 2(a₁ + 4)

Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44

Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96

Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200

Hence, the first 5 terms of the sequence are :

Answer:

5, 18, 44, 96, 200

Step-by-step explanation:

[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]

[tex]\textsf{Given first term}: \quad a_1=5[/tex]

[tex]\implies a_1=5[/tex]

[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]

[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]

[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]

[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]

Use the general formula for decay substance

[tex]\\ \rm\Rrightarrow N=N_o(1-r)^t[/tex]

For our equation r=62%=0.62

So

function becomes

[tex]\\ \rm\Rrightarrow N=650(1-0.62)^t[/tex]

[tex]\\ \rm\Rrightarrow N=650(0.38)^t[/tex]

Change for a year

[tex]\\ \rm\Rrightarrow N=650(0.38)[/tex]

[tex]\\ \rm\Rrightarrow N=247g[/tex]

Amount decayed=650-247=403g

Daily decay

Percentage decay

[tex]\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100[/tex]

[tex]\\ \rm\Rrightarrow 0.169[/tex]

[tex]\\ \rm\Rrightarrow 16.9\%[/tex]

[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]

hope it helps

Please refer to the attachment

Area

= 3 cm

[tex] \frac{1}{2} BH = 7,5 \\ \\ (\frac{1}{2} \times5)H=7,5 \\ \\ 2,5H = 7,5 \\ \\ H=7,5 \div 2,5 \\ H=3 \: cm[/tex]

Answer:

x-2

x+9

Step-by-step explanation:

Answer:

[tex]\frac{x-2}{x+9}[/tex]

Step-by-step explanation:

Factorizing Fraction 1

Factorizing Fraction 2

Now, multiply the fractions :

Answer:

20 miles

Step-by-step explanation:

This is a Pythagorean Theorem Problem

1. We know that one side of the triangle is 6 miles. And we know that another side is 19 miles.

2. We use the pythagorean Theorem to solve. We get

[tex]19^2+6^2=C^2[/tex]

Where C is the distance.

Solving that we get that 20 miles is the answer.

Answer:

70

Step-by-step explanation:

Just do it backwards.

94 - 12 = 82.

82 + 6 = 88.

88 - 18 = 70.

Answer:

3/9 (or) 1/3 (reduced)

Step-by-step explanation:

1.  Before handing pencils to the students, the teacher had 9 out of 9 (9/9) pencils.

2.  When she gave pencils to the students, she gave them 6 of the 9 pencils (6/9)

3.  Now we do the math:

9/9 - 6/9

= 3/9 (or) 1/3 (reduced)

Therefore, the teacher now has 3/9 or 1/3 of the pencils left.

                                    _____

Step-by-step explanation:

The reasoning used here is coding and decoding.

Coding is a portion of the logical reasoning element that is used to encrypt words, numbers, or codes utilizing specified rules and regulations. The process of decoding patterns into their original forms from supplied forms is known as decoding.

We have an expression:-

a = b and c = d, then a − c = b − d

Therefore the reasoning used here is coding and decoding.

To know more about reasoning follow

https://brainly.com/question/860494

#SPJ1

Answer:

294 yd²

Step-by-step explanation:

a cube has 6 congruent square faces.

the area of 1 face = 7 × 7 = 49 yd²

then surface area = 6 × 49 = 294 yd²