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You have the following opeartion between sets:

(x + 2 < 5) U (x - 7 > 6)

In order to find the solution to the previoues expression, you first find the solutionof each inequality, just as follow:

x + 2 < 5 subtract 2 both sides

x < 5 - 2

x < 3

The solution interval is (-∞,3)

x - 7 > - 6 add 7 both sides

x > - 6 + 7

x > 1

The solution interval is (1, ∞)

Then, you have:

(-∞,3) U (1,∞)

which is the same that:

{x| x<3 or x>1}

The basic ratio of minutes of painting to minutes of instruction is 7 : 6

From the question, we have the following parameters that can be used in our computation:

Painting = 63 minutes

Instruction = 54 minutes

The ratio can be represented as

Ratio = Painting : Instruction

When the given values are substituted in the above equation, we have the following equation

Painting : Instruction = 63 : 54

Simplify

Painting : Instruction = 21 : 18

Simplify

Painting : Instruction = 7 : 6

This  ratio cannot be simplified

Hence, the solution is 7 : 6

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An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

Factorisation is defined as the breaking or decomposition of an entity. Given the quadratic equation below;

y=x² - 4x - 5

Factorize

y = x^2 - 5x + x - 5

y = x(x - 5) + 1(x - 5)

y = (x+1)(x-5)

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

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We will solve as follows:

So, the coordinates are (9, -1).

Answer:

d

Step-by-step explanation:

The sun is the primary source because without it there will be nothing like renewable or nonrenewable energy

Answer:

C

Step-by-step explanation:

A and B are not straight lines, so they are not linear functions.

C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

A and B are not straight lines, they are not linear functions. Therefore,

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

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Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

Answer:

AB=16

BC=15

AC=12

PQ=12

QR=12

PR=19

Step-by-step explanation:

well you know that the perimeter is the sum of all sides

so we have

\((2x)+(2x+4)+(2x+3)=(2x)+(2x)+(3x+1)\\\\2x+2x+4+2x+3=2x+2x+3x+1\\\\(2x+2x+2x)+(4+3)=(2x+2x+3x)+(1)\\\\6x+7=7x+1\\\\6x+7-1=7x\\\\6x+6=7x\\\\6=7x-6x\\\\x=6\)

so the sides are:

\(AB=2x+4=2(6)+4=12+4=16\\\\AB=16\)

\(BC=2x+3=2x+4-1=16-1=15\\\\BC=15\)

\(AC=2x=2(6)=12\\\\AC=12\)

\(PQ=2x=12\\\\PQ=12\)

\(QR=2x=12\\\\QR=12\)

\(PR=3x+1=3(6)+1=18+1=19\\\\PR=19\)

So there you are.

Answer:

4

Step-by-step explanation:

hope it helps!

Check the picture below.

Answer:

False

Step-by-step explanation:

positive A and negative B does not equal positive B and negative A

Answer:

FALSE

Step-by-step explanation:

Answer:

m+n=2n+8

m=n+8

n=m-8

2k=m+n

Step-by-step explanation:

Answer:

1589.25

Step-by-step explanation

Answer:

Equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is \(\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

Step-by-step explanation:

We need to write an equation of a line through (15, 8) that is perpendicular to the line y =57 x −1.

The equation will be in slope-intercept form: \(\mathbf{y=mx+b}\)

Where m is slope and b is y-intercept.

Finding Slope of new line

We are given equation \(y =57x-1\) of line, which is perpendicular to the line whose equation we need to find.

If the lines are perpendicular there slopes are inverse of each other i.e \(m_1=-\frac{1}{m_2}\)

Slope of given line is m= 57 ( compare the given equation with standard slope-intercept form the value of m is 57

Slope of new line is m= \(-\frac{1}{57}\)

Finding y-intercept of new line

Now finding y-intercept (b) for new line. It can be found using point (15,8) and slope m = \(-\frac{1}{57}\)

\(y=mx+b\\8=-\frac{1}{57}(15)+b\\8=-\frac{15}{57}+b\\b=8+\frac{15}{57}\\b=\frac{8*57+15}{57}\\b=\frac{471}{57}\\b=\frac{157}{19}\)

So, y-intercept b of new line is: \(b=\frac{157}{19}\)

Equation of required line

Equation of line having slope m= \(-\frac{1}{57}\) and y-intercept  \(b=\frac{157}{19}\) is:

\(y=mx+b\\\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

So, equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is \(\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

Answer:

oops sorry what he said  

Step-by-step explanation:

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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Answer:

decrease

Step-by-step explanation:

i got it right on prepworks

Hope this helped!

Stay safe! <3

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

Answer:

expected value is the mean : 10.5

Standard error for the sampling distribution : 0.375

it has a bell-shaped curve  with 99.7%  of the values between  9.375  and 11.625

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

-4-3(3)

-4-9 = -13

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

4,832

Step-by-step explanation:

im not sure if this is what you are looking for...

Answer:

draw the diagram and multiply 5x20

Answer:

Hopefully this help

Step-by-step explanation:

Answer:

Hopefully this is it

Step-by-step explanation:

Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer: 46

Step-by-step explanation:

Since he has 6 apples and they're all cut into 1/8 pieces, that would mean each apple would have 8 pieces in total. So 6 * 8 is 48. So the total amount of pieces is 48.

This is simple really.