4. What is the half-life of the radioactive isotope with amount A, whose rate of decay in t hours is shown in the graph below?
(0,40)
(20,15)

Answer:

[tex](2x - 4)(x + 8) \\ 2x - 4(x + 8) \\ 2x - 4x + 32 \\ 2x + 32[/tex]

Answer:

1) x = 9

2) y = 16

3) y = -1

Step-by-step explanation:

Do PEMDAS in reverse.

For every equation, your goal is to seperate the variable (x,y, or whatever letter) by itself.

1) 2x-7 = 11

Add 7 to both sides.

2x = 18

Divide both sides by 2.

x = 9

2) [tex]\frac{3}{4}y = 12[/tex]

Divide both sides by 3/4 (which turns into multiplying by 4/3).

Left side

[tex]\frac{3}{4}x * \frac{4}{3}\\\\\frac{3}{4}x * \frac{4}{3} = \frac{3*4}{4*3}x\\1x\\x[/tex]

Right side

[tex]12*\frac{4}{3}\\\\\frac{12}{1} *\frac{4}{3}\\\\ \frac{12}{1} *\frac{4}{3} = \frac{12*4}{1*3}\\\\\frac{48}{3} \\16[/tex]

3) 9(y+3) = 18

Remember do PEMDAS in reverse.

Divide both sides by 9.

y+3 = 2

Subtract both sides by 3.

y = -1

9514 1404 393

Answer:

Step-by-step explanation:

Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.

We have three relations given. Each can be used to write an equation.

  x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered

  2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost

  0x +y -z = 100  . . . . . . . . . . 100 fewer chicken were ordered than plain

_____

Additional comment

We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.

  [tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]

The solution is (x, y, z) = (300, 150, 50).

Answer: the answer is 11

Step-by-step explanation:

Answer:

They have spent $75

16+14 = 30

30 x 2.50 = 75

Step-by-step explanation:

Answer:

0.35

Step-by-step explanation:

Answer:

Just one

Step-by-step explanation:

Got it right on Edge 2022

Answer:

2,786

Step-by-step explanation:

You can make this easier by taking the expanded form of 398:

300 + 90 + 8

7 x 300 = 2100

7 x 90 = 630

7 x 8 = 56

Then add all these values together:

2100 + 630 + 56 = 2,786

Answer: x = 3.2 + 0.6y

Step-by-step explanation: Simplifying

5x + -3y = 16

Solving

5x + -3y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

5x + -3y + 3y = 16 + 3y

Combine like terms: -3y + 3y = 0

5x + 0 = 16 + 3y

5x = 16 + 3y

Divide each side by '5'.

x = 3.2 + 0.6y

Simplifying

x = 3.2 + 0.6y

x= 0

f(0)= 2(0+2)+ 4(0)= 4

f(16)= 2(16+2)+ 4(16) = 100

f( 10) = 2(10+2) + 4(10)= 64

f(94)= 2( 94+ 2) + 4(94) = 568

Answer:

z≥−3

Step-by-step explanation:

1 Subtract 88 from both sides.

5z≥−7−8

2 Simplify  -7-8−7−8  to  -15−15.

5z≥−15

3 Divide both sides by 55.  

z≥− 15/5

4 Simplify 15/5 to 3

z≥−3

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

→ x + 2x + 2x + 6 = 66

→ 5x + 6 = 66

→ 5x = 66 - 6 = 60

→ x = 60/5 = 12

→ x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!

Hey! The measure of the angle is 127

The angle is a total of 180 degrees.

We have to find the total of what's in between the two blue lines.

To make it easier, we can take the total of what's not in the blue lines, 53, and subtract it from 180. This gives us 127. So in between both the blue lines, measures 127. Or, you can just count up from  53 to 180 individually.

Step-by-step explanation:

a is the right answers to the same as the right

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 6400 kilograms have already been loaded into the container.

Answer:

[tex]x<=118[/tex]

Step-by-step explanation:

We already have [tex]10300[/tex] kilograms, we will add [tex]x*150[/tex] kilograms, and we need it to be less than or equal to [tex]28000[/tex].

So, the inequality is [tex]150x+10300<=28000[/tex].

We can subtract [tex]10300[/tex] from both sides to get [tex]150x<=17700[/tex].

We then lastly divide by [tex]150[/tex] on both sides to get [tex]x<=118[/tex].

So, the answer is [tex]\boxed{x<=118}[/tex] and we're done!

Answer:

[-1,5]

Step-by-step explanation:

all reals between -1 and 5

Answer:

[tex] \frac{8x \times 6.5}{2} = 780[/tex]

[tex]8x \times 6.5 = 780 \times 2 \\ 8x \times 6.5 = 1560 \\ 52x = 1560 \\ x = 15[/tex]

Answer:

If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots

Answer:

4462.5

need 20 characters

Answer:4462.5

Step-by-step explanation:multiply 5250 by 15% (or 0.15), then subtract that # to get the answer.

5250 x 15% = 787.5

5250-787.5= 4462.5

Answer:

x= -6

Step-by-step explanation:

so i'm thinking 1 solution.

(let me know if i'm wrong)

Answer:

infinitely many solutions.

Step-by-step explanation:

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has

Expressions are used to show relationships between variables and constants

The expression is given as:

[tex]\mathbf{\frac a8 + 6b}[/tex]

In the above expression, a/8 and 6b are added.

So, the expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sum

In [tex]\mathbf{\frac a8 }[/tex], a is divided by 8.

So, the term [tex]\mathbf{\frac a8}[/tex] is a quotient

Lastly, in 6b; 6 is multiplied by b.

So, the term 6b is a product.

Read more about expressions at:

https://brainly.com/question/22151679

Answer x is less than or equal to -1

Step-by-step explanation:

-5x-9    -4

-5x-9+9    -4+9

-5x    5

-5x/-5x  5/-5

x less than or equal to -1

Answer:

x  [tex]\leq[/tex]  -1

Step-by-step explanation:

(-5x - 9) [tex]\geq[/tex]   -4

add 9 to both sides of the equation

-5x-9  [tex]\geq[/tex] -4

    +9      +9

--------------------

the -9 and +9 cancel out

-5x [tex]\geq[/tex] 5

then, divide both sides by -5 to get x

-5x  [tex]\geq[/tex]  5

------   -------

-5         -5

x  [tex]\leq[/tex]  -1

by the way, the sign changed from  [tex]\geq[/tex] to [tex]\leq[/tex] because we divided by a negative number to get x.      

Answer:

[tex](-5, -5)[/tex]

Step-by-step explanation:

To reflect a point over the y-axis is the same as flipping the sign of the x-value of the point.

So, point L reflect is [tex](-(5)), -5)=\boxed{(-5, -5)}[/tex].

Answer:

B

Step-by-step explanation:

Difference between value as the years pass, ($22,050-$19,600 = $2,450)

To find purchase price: $22, 050 + $2,450 = $24,500

Answer:

See below

Step-by-step explanation:

a + 54° = 180° [Angles on a straight line]

a = 180 - 54

a = 126°

a + b = 180 [Angles on a straight line add up to 180 degrees]

126 + b = 180

b = 180 - 126

b = 54°

c° = a° [Vertically opposite angles are equal]

c° = 126°

d = 54° [Corresponding angles are equal]

e = a [Corresponding angles are equal]

e = 126°

f = b [Corresponding angles are equal]

f = 54°

g = c [Corresponding angles]

g = 126°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

7/4 and 3/8.

Step-by-step explanation:

You can get this by dividing all possible answers, and if the decimal stops you have a terminating decimal.