What is the value of x in the solution to this system of equations?
y = x + 1
y = 5x + 13

Answer:

-1 = 2(-1 -1) = -4

0 = 2(0-1) = -2

1 = 2(1-1) = 0

2 = 2(2-1) = 2

Step-by-step explanation:

x = the number on the left column

for the middle colum, you need to do 2(x -1)

for the right column, you do : (x - 1) x 2)

Step-by-step explanation:

geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).

s1 = 5

s2 = s1 × 1/3 = 5 × 1/3

s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9

sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)

s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243

[tex]-5x+10>-15\\\\\implies -5x> -10 -15\\\\\implies -5x > -25\\\\\implies x< 5\\\\\text{Interval,} ~(-\infty,5)[/tex]

Answer:

add the options, then we'll talk

Step-by-step explanation:

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

Answer:

22/77

Step-by-step explanation:

just put the probable amount over the total amount for these

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

Answer:

We would need to see the tiles and table. If you'd attach them I'd love to help

Step-by-step explanation:

The triangle is solved and the measure of internal angles = 180°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the two parallel lines be y and z

where y ║ z

And , ∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem.

So , ∠1 = ∠5 and ∠3 = ∠6

And , the measure of ∠1 + ∠2 + ∠3 = 180° ( angles on straight line )

And , the measure of ∠5 + ∠2 + ∠6 = 180° ( angles on straight line )

where the measure of ∠1 = ∠5 ( alternate interior angles )

And , the measure of ∠3 = ∠6 ( alternate interior angles )

Hence , the triangle is solved

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The complete question is attached below :

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180°

Answer:

343

Step-by-step explanation:

[tex]7^{3} = 7 * 7 * 7[/tex]

[tex]7^3 = 343[/tex]

-Chetan K

[tex]v^{2}[/tex]Answer:

4 feet long

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

In this problem, a and b are the legs of the triangle, while c is the hypotenuse

Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:

5 + 11 = [tex]c^{2}[/tex]

Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.

Answer:

$1720

Step-by-step explanation:

1032 is 3/5 of the cost.

Divide 1032 by 3/5, which is 1720.

Thus, the answer is $1720.

The cost of the present day will be $1,720.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Lisa's father gave her $1032 to buy a present. This covered 3/5 of the cost.

The cost of the present day will be given by the division of the numbers 1032 and 3/5.

⇒ 1032 / (3/5)

⇒ 1032 x 5 / 3

⇒ $1,720

The cost of the present day will be $1,720.

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9514 1404 393

Answer:

  a.  h(t) = -20t +400

  b.  θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)

  c.  15 seconds; 100 ft

Step-by-step explanation:

a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...

  h(t) = -20t +400

__

b. The tangent of the angle above the line of sight is "opposite"/"adjacent":

  tan(θ) = (h(t) -100)/(150) = -2/15t +2

  θ(t) = arctan(2 -2/15t) . . . . radians

The derivative of the angle function is ...

  dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)

  dθ/dt = -30/(1125 -120t +4t^2)

__

c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)

The elevator appears to be moving fastest at t=15 seconds.

The height at that time is ...

  h(15) = 400 -20(15) = 100

The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.

Answer:

Step-by-step explanation:

1,7 are same side exterior

1,8 alternate exterior

2,4 none

3,5 same side int

2,6 corrosponding

4,6 same side int

4,7 is none

5,4 alternate int

8,5 vertical

8,7 alternate exterior

Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

Answer:

B.

Step-by-step explanation:

When using the distributive property, you distribute the leading number to each number inside the parentheses.

Answer:

Option B is correct.

Step-by-step explanation:

The answer of Option B is correct. 58 × 5 = 290.

Therefore, Option B is correct.

Answer:

hiiiiiiiiiíiiiiiiiiiii

The midpoint of the line segment is the average of the respective coordinates.

So the x-value of the midpoint if the average of the two individual x-coordinates.

    (-3.5 + 4)/2 = 0.5/2 = 0.25

And the y-value of the midpoint if the average of the two individual y-coordinates.

    (2 + (-2.5))/2 = -0.5/2 = -0.25

So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".

Answer:

160

Step-by-step explanation:

We know that [tex]\left \{ {{t=2.5} \atop {v=64}} \right.[/tex]

Formulate and substitute: [tex]d=2.5[/tex]×[tex]64[/tex]

Calculate the product or quotient: [tex]160[/tex]

Answer: [tex]160[/tex]

Answer: 16,200,000

Step-by-step explanation: divide both numbers

The future value of her deposit would be in 5 years.

The total amount needed to start a cupcake cafe venture

= $9,000

Deposit per year = $1,800

Therefore, if $1,800 = 1 year

$9,000 = X

[tex]x = \frac{9000}{1800} [/tex]

[tex]x = 5[/tex]

Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.

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O NEGATIVE ONE-HALF ........

Answer:

answer is D

Step-by-step explanation:

the answer is 1.75

Answer:

[tex]-\frac{5}{8}\\-9.2%\\\\-0.001[/tex]

-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%

Step-by-step explanation:

[tex]-\frac{3}{4}=-75[/tex]%                                     4.6%

Let's do the process of elimination to find our answers

[tex]-\frac{5}{8}=-62.5[/tex]% this would be in between because - 62.5% would be after -75%

[tex]\frac{5}{100}=5[/tex]% this fraction equals to a positive percentage which would be after 4 so not this one

[tex]-0.001 = -0.1[/tex]% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one

[tex]-0.75= -75[/tex]% we already have the percentage so not this one

33% this number would come after 4.6% so not this one

-9.2% this would be between them because its -9 and it will be after -75% and -62.5%

Answer:

CBA would be the sixth

Step-by-step explanation:

Answer:

x = 2

y = 7

I aced this lesson in 6th grade.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

Step-by-step explanation:

All 4 sides are equal. (They are marked that way).

8x = 5x + 6                   Subtract 5x from both sides

8x - 5x = 5x - 5x + 6    Combine

3x = 6                           Divide by 3

3x/3 = 6/3                    

x = 2

Consecutive angles of  a rhombus are supplementary

97  + 12y - 1 = 180         Combine

96 + 12y = 180              Subtract 86 from both sides

12y = 180 - 96

12y = 84                        Divide by 12

y = 84/12

y = 7

The features of the sine function in this problem are given as follows:

Amplitude: 2.

Midline: y = -4.

Period: 3 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, we have,

The equation is given as follows:

y = 2sin(2πx/3) - 4.

we have to define the sine function:

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

A: amplitude.

B: the period is 2π/B.

C: phase shift.

D: vertical shift.

The function has a minimum value of -6 and a maximum value of -2, for a difference of 4, hence the amplitude is given as follows:

2A = 4.

A = 2.

Without vertical shift, a function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -6 and -2, hence the vertical shift is given as follows:

D = -4.

The shortest distance between repetitions can be given by 2 - (-1) = 3, hence the period is of 3 units and the coefficient B is given as follows:

2π/B = 3

B = 2π/3.

The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:

y = 2sin(2πx/3) - 4.

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Answer:

Yes

Step-by-step explanation:

It is an arithmetic sequence since it has a common difference which is 13.

78-65 = 13

65-52 = 13

52-39 = 13

39-26 = 13

I think any of these would work

10;18

15;28

20;35

Answer:

5:9

Step-by-step explanation:

To Find:

ratio of yellow paint to blue paint to make a particular shade of green.

Solution:

The ratio can be written as 5 to 9, or 5:9

We know that if we mix 5 gallons of blue paint with 9 gallons of yellow paint we get the particular shade of green that we want.

Then the ratio of gallons of blue paint to gallons of yellow paint is 5 to 9, or 5:9

Meaning that for every 5 gallons of blue paint we need 9 of yellow paint.

Answer:

and question is

Step-by-step explanation:

Answer:

Step-by-step explanation: