Solve for x. Type a numerical answer in the space provided. Do not use spaces in your answer. For example, if the answer is x = 15, type 15.

15x + 6 = 10x + 21

Answer:

the anwser is FALSE

Step-by-step explanation:

Discriminant = b^2 - 4ac

a = 1

b = 3

c = -6

3^2 - 4(1x-6)

9 - (4 x -6 )

9 - -24 = 33

Therefore it has 2 real roots

To find the width of the track, add up the lengths of all the inside and outside arcs and subtract the total length of the inside arcs from the total length of the outside arcs.

To find the width of the track, we first need to determine the difference between the inside and outside arcs of each piece. Let's assume the outside arc has a length of A inches. According to the question, the inside arc is 3.4 inches shorter than the outside arc. Therefore, the inside arc has a length of A - 3.4 inches.

Since there are ten identical pieces forming the circular track, we can add up the lengths of all the inside arcs and all the outside arcs to find the total distance covered by the track. The width of the track is then the difference between the total length of the outside arcs and the total length of the inside arcs.

Let's express the width of the track as a function of A. The total length of the outside arcs is 10A inches, and the total length of the inside arcs is 10(A - 3.4) inches. Therefore, the width of the track is:

Width = 10A - 10(A - 3.4) inches.

https://brainly.com/question/19532051

#SPJ3

The two possible pairs of numbers that fit the given equations are (√7, 2) and (-√7, -2). We find these by setting up two equations based on the provided conditions and solving them simultaneously.

Let's denote the first number as 'x' and the second number as 'y'. We have two equations from the given information:

1. x² - y² = 5

2. 3x² - 2y² = 19

We can solve these equations simultaneously to find the values of 'x' and 'y'. The first step in solving a system of linear equations is to multiply the equations by what's needed to get the coefficients of one of the variables to match, so it can be eliminated when the equations are added or subtracted. Let's multiply the first equation by 3 and the second equation by 1. We then have:

3x² - 3y² = 15

3x² - 2y² = 19

If we subtract the second equation from the first, we get:

-y² = -4

which leads to y = 2 or y = -2 (squared numbers are always positive). Substituting '2' for 'y' in the first original equation, we find that x = √7 or x = -√7. Therefore, the possible pairs of numbers are (√7, 2) and (-√7, -2).

https://brainly.com/question/30319215

#SPJ12

The answer for #5 is C.

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Amount of Kevin's gross income = $45942

Amount he contribute to his retirement plan = $3435

Amount he lost in business losses = $3393

Amount he incurred in business expenses = $1128

So, His adjusted gross income will be

[tex]45942-(3435+3393+1128)\\\\=45942-(7956)\\\\=\$37986[/tex]

Hence, his adjusted gross income is $37,986.

Hence, Option 'D' is correct.

The conversion of fahrenheit to degree celsius for  f = 113 is 45 degree celsius

What is a mathematical expression?

When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.

Given, formula of temperature conversion of degree celsius to fahrenheit

c=5/9(f-32)

If f = 113

then putting the value on the equation, we get

c = 5/9(113-32)

c = 5/9(81)

c = 5*9

c = 45 degree celsius

Therefore, The conversion of fahrenheit to degree celsius for  f = 113 is 45 degree celsius

Read more about mathematical expression at :

https://brainly.com/question/10413253

#SPJ5

Answer:

3.41+8.051

Step-by-step explanation:

Answer:

y is -8 and 4.

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Step 1: eight times one equals eight. Eight times two equals 16, as you keep multiplying, you'll eventually get to 8 times 8 equals 64. To find 64 divided by 8, you find the other "piece" which be what makes 8 times the number equal to 64. :)

Answer:

Range : 0° < x < 17°

Step-by-step explanation:

In any triangle, the smallest angle is opposite to the smallest side.

So, In ΔABD , the side which faces ∠ABD is AD whose length is 22 units.....(1)

And, in ΔCBD, the side which faces ∠CBD is CD whose length is 30 units....(2)

Now, from equations (1) and (2) We get,

∠ABD < ∠CBD

So, ∠ABD lies between 0° to 34°

[tex]\Rightarrow 0 < 2\cdot x<34\\\Rightarrow 0<x<\frac{34}{2}\\\Rightarrow0<x<17[/tex]

∴ Range of x is 0° to 17°

Answer:

Range : 0° < x < 17°

Step-by-step explanation:

In any triangle, the smallest angle is opposite to the smallest side.

So, In ΔABD, the side which faces ∠ABD is AD whose length is 22 units.....(1)

And, in ΔCBD, the side which faces ∠CBD is CD whose length is 30 units....(2)

Now, from equations (1) and (2) We get,

∠ABD < ∠CBD

So, ∠ABD lies between 0° to 34°

∴ Range of x is 0° to 17°

Answer:

{-4, 2} Original poster forgot to add the + sign

Step-by-step explanation:

Solve (x + 6)(x - 4) = -16

{-4, 6}

{-4, 2}

{-12, 22}

Odyssey

Answer: Martha will earns for 2.5 hours of baby sitting [tex]\approx\$8.13[/tex]

She will earns for 4.0 hours of baby sitting =[tex]\$13[/tex]

She will earns for 5.5 hours of baby sitting =[tex]\approx\$17.88[/tex]

Step-by-step explanation:

Given: Martha earns for each hour of baby sitting = $3.25

Then, Martha will earns for 2.5 hours of baby sitting =[tex]2.5\times3.25=\$8.125\approx\$8.13[/tex]

She will earns for 4.0 hours of baby sitting =[tex]4.0\times3.25=\$13[/tex]

She will earns for 5.5 hours of baby sitting =[tex]5.5\times3.25=\$17.875\approx\$17.88[/tex]

The barrel leaks 0.5 L of water each day.

Every year, Luisa puts $10 into her savings account.