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Answer:

x + 4 < 27

-4. -4

x > 24

Step-by-step explanation:

put lines under signs

Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value

Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)

9514 1404 393

Answer:

  (b)  6x −7y = −11

Step-by-step explanation:

Perhaps the easiest way to approach this is to look at the y-intercept. To find it, set the value of x to zero, and divide by the y-coefficient. The y-intercepts of these equations are ...

  a) 11/-7 = -1 4/7

  b) -11/-7 = 1 4/7 . . . . possible candidate

  c) 11/-6 = -1 5/6

  d) -13/-5 = 2 3/5

The only y-intercept that matches the graph is the one for equation ...

  6x -7y = -11

_____

You can use any of several other strategies to verify this choice:

1) Putting the given point values into the equation:

  for (-3, -1): 6(-3) -7(-1) = -18 +7 = -11 . . . . yes

  for (1/2, 2): 6(1/2) -7(2) = 3 -14 = -11 . . . . yes

__

2) Finding the equation from the given points.

  m = (y2 -y1)/(x2 -x1) = (2 -(-1))/(1//2 -(-3)) = 3/(3 1/2) = 6/7

Then the point-slope equation is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-1) = 6/7(x -(-3)) . . . . . substitute known values

  7y +7 = 6x +18 . . . . multiply by 7, simplify

  6x -7y = -11 . . . . . . . add -18 -7y to both sides

Answer:

D  [tex]\sqrt{x+4}[/tex]

Step-by-step explanation:

Answer:

f¹(x) = x - 3

To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.

Rewrite the function f(x) = x + 3

as the equation y = x + 3

Trade x and y.

x = y + 3

Solve for the "new" y.

= y + 3

3 - 3

Subtract 3 from both sides

y = x= 3

The symbol for the inverse is f-¹(x)

f¹(x) = x - 3

Step-by-step explanation:

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[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]

Answer:

D.

y = 4(x − 3)^2 + 2

Step-by-step explanation:

A.    y = 4(x + 3)^2 + 2   = ( − 3 ,  2 )

B.    y = (x + 3)^2 + 2     = ( − 3 ,  2 )

C.    y = 19(x − 2)^2 + 3  = ( 2 ,  3 )

D.    y = 4(x − 3)^2 + 2   = ( 3 ,  2 )

Answer:

-30.28

Step-by-step explanation:

Answer:

763.4 ft^3 to the nearest tenth.

Step-by-step explanation:

The base radius = 1/2 * 18 = 9 ft.

The volume = π r^2 h

=  π * 9^2 * 3

= 763.407 f^3.

Answer:

$2,100

Step-by-step explanation:

'regular' pay is 375/10 or $37.50 per hour

'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour

'double time' would be (2)37.50 = $75.00

35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'

so:

(7)75 + (28)56.25 = 525 + 1575

Total overtime pay for 2-week period is $2,100

Answer:

150

Step-by-step explanation:

The ration is 2/3 in this example means they are twice as many boys than girls. If boys = 2/3, than girls = 1/3.

So, to find the answer, you must multiply 75 by 2, which is 150.

You don't need this, but they are 75 + 150 = 225 boys and grils in grade 10.

Answer:

1/2

Step-by-step explanation:

b is directly proportional to h.

b = kh

take any (h, b) point

using (28, 14)

14 = k(28)

Divide both sides by 28

1/2 = k

1/2

Answer:

$ 1.94

Hope I helped

Answer:

3%

Step-by-step explanation:

[tex] \frac{0.03}{1} \times 100[/tex]

0.03=3/100 So

[tex] \frac{3}{100} \div 1 \times 100[/tex]

=3%

Answer:

10

Step-by-step explanation:

The value of P(x<6) is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.

So, P(x<6)

= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)

= 1/10 + 1/10+ 1/10 + 1/10 + 1/10

= 5/10

= 1/2

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Answer:

8  5/9

Step-by-step explanation:

6 1/3 + 2 2/9

Get a common denominator of 9

6 1/3 *3/3  + 2 2/9

6 3/9 + 2 2/9

8  5/9

La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :

R = [tex]\sqrt{x^{2}+16x+64}[/tex]

Answer: A. True.

Step-by-step explanation:

A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.

Answer:

The age is 7

Step-by-step explanation:

Devaughn's age is two times Sydney's age

and the sum of their ages is ? Let’s Sydney's age is X, Devaughn's age is (2X+X=21)

Therefore 3X=21

Rearranged is X= 21 divide 3

Therefore Sydney’s age is 7

Answer:

x=11/17

Step-by-step explanation:

determine the defined range

11/x  17

11/x =17 then x is canceled out  

11=17x

17x=11 dividing both sides

x=11/17

Answer:

The selling price cost 472.5

Step-by-step explanation:

Let's find the profit first.

To find that, let's turn 5% to decimal form.

5 % = 0.05

Then, lets multiply it to the initial price which is 450

450 * 0.05 = 22.5

So the profit costs 22.5

Now, let's add the profit to the initial cost to find the selling price

450 + 22.5 = 472.5

That's it.

Step-by-step explanation: (5√5)−2x+1=

1

5

(125x)−3

0.008x+1=

1

5

(125x)−3

Step 1: Flip the equation.

1

5

(125x)−3=0.008x+1

Step 2: Add 3 to both sides.

1

5

(125x)−3+3=0.008x+1+3

1

5

(125x)=0.008x+4

Step 3: Divide both sides by 1/5.

1

5

(125x)

1

5

=

0.008x+4

1

5

125x=0.04x+20

The  value of x is 46.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.

Given:

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

ow, using exponents and powers

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]

[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]

[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]

Now, Comparing

-x+ 3/2 = 3x- 10

-x - 3x = -10 - 3/2

-4x = -23/2

x= 46

Hence, the value of x is 46.

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Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

Here according to angle sum property all angles sum u up 180°

So,

[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]

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Answer:

5.5 hours

Step-by-step explanation:

time = distance/speed

t = 330/60

t = 5.5 hours

Answer:

[tex]y=5x[/tex]

Step-by-step explanation:

Insert the information into the point-slope formula to find slope-intercept form.

[tex]y-y_1=m(x-x_1)\\\\y-5=5(x-1)\\\\y-5=5x-5\\\\y=5x[/tex]

Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages associated with a positive test are:

Hence:

[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]

The probability of both a positive test and the body attempting to reject the kidney is:

[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]

0.7921 = 79.21% probability that the body is attempting to reject the kidney.

A similar problem is given at https://brainly.com/question/25553471