Which point is a solution for the inequality 3x – 2y < 5


a (3, 2)

b (2, 3)

c (5, 2)

d (8, 5)

how do I solve this?

ANSWER:

The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.

Step-by-step explanation:

For the first one it is: 0.27... or 3/11

For the second one it is: 6

For the third one it is: 1 or 6, meaning it has two solutions

For the fourth one it is: 6.285714, or 44/7

for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11

for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6

I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.

The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

The equations that have {6} as its solution set is,

We have to solve the equation in order to find the value of x,

Equation 1,

15−x=54x

54x+x=15

55x=15

x=0.27

Equation 2,

8+3x=6x−10

6x-3x=-10+8

3x=18

x=6

Equation 3,

x²+2=7x−4

x²-7x+6=0

x²+6x+x+6=0

x(x+6)+1(x+6)=0

(x+1)=0 , x=-1

(x+6)=0, x=-6

Equation 4,

43−4x=3x−1

4x+3x=43+1

7x=44

x=44/7

x=6.285

Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.

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Answer:

f(-2) = 2

f(0) = 4

f(4) = -1

Step-by-step explanation:

Given the graph of a piecewise function:

[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]

Side note:

I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.

There are two methods for determining the range values of the given domain values.  

Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.  

Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values.  This post will use the second method (using the piecewise function) to evaluate the input values.

Regardless of the method used, the results will remain the same.

Since the input value is x = -2, then we must use the function, f(x) = x + 4:

f(x) = x + 4

f(-2) = -2 + 4

f(-2) = 2

Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.

Given the input value is x = 0, then we must also use the function, f(x) = x + 4:

f(x) = x + 4

f(0) = 0 + 4

f(0) = 4

Therefore, the range value given the domain, x = 0 is 4, or  f(0) = 4.

Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:

f(x) = -½x + 1

f(4) = -½(4) + 1

f(4) = -2 + 1

f(4) = -1

Therefore, the range value given the domain, x = 4 is -1, or  f(4) = -1.

Answer:

D) QR≅ST

The answer follows from basic AAS congruences

Answer:

line PQ≅line SU

Step-by-step explanation:

∆PQR       ∆UST

P corresponds to U

Q corresponds to S

R corresponds to T

line PQ to line US

line QR to line ST

line PR to line UT

Answer:

In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.

Step-by-step explanation:

:3

Answer:

Rational numbers can be depicted on the number line. The centre of the number line is called Origin (O). Positive rational numbers are illustrated on the right side of zero (called origin), and negative on left side of origin. The representation of rational numbers on the number line depends on the type of fraction.

Step-by-step explanation:

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.

Answer:

  a) 6

  b) 5

  c) 5

Step-by-step explanation:

In this context, "of" means "times."

a) 1/5 of 30 = 1/5×30 = 30/5 = 6

b) 1/4 of 20 = 1/4×20 = 20/4 = 5

c) 1/3 of 15 = 1/3×15 = 15/3 = 5

Answer:

The first option you have selected should be correct. if any doubt comment.

Answer:hhfff

Step-by-step explanation:

The required solutions to the line intersecting the circle at the points are x = -1, y = -1, and x = -0.2; y =0.6.

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The graph correctly defines one solution.

The straight line intersects the circle at point A in the third quadrant.

The coordinates of point A are (-1,-1).

Hence, the solution is: x = -1,and  y = -1

(x+1)² + y² = 1 and y=2x+1

Solving for 'x'

(x+1)² + (2x+1)= 1

x²+1+2x + 4x² + 1 + 4x =1

5x² + 6x + 1 = 0

(x+1/5)(x+1) = 0

(x+1/5) = 0 and (x+1) = 0

x = -1/5 and x = -1

For x = -1

y = 2(-1) +1 = -2+1 = -1

For x = -1/5

y = 2(-1/5) +1 = -2/5 + 1 = 3/5

Hence, the solution is : x = -0.2 and y =0.6

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The question seems to be incomplete the missing part has been attached below

Answer:

w/11+10=10w/11=0•w=10

Answer:

Step-by-step explanation:

-5+3 + (-1/6)+ 5/6

-2 - 1/6 + 5/6

-2 + 4/6 (do this boring math)

Answer:

[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]

Step-by-step explanation:

-5+3+(-1/6)+ 5/6

Ok soo -5+3 is -2 So then

-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]

-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])

-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]

-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]

We can't get the answer if there's no problem?

Answer:

15

Step-by-step explanation:

speed is distance over time so its 30 devided by 2

Answer:

5 more treats

Step-by-step explanation:

The total number of treats if she gives each person 4 treats is

. 37 people * 4 treats = 148 treats

Subtract 143 (number of treats she has) from 148 (total number of treats to give out)

. 148 treats - 143 treats = 5 treats

143 treats

37 patients

how many treats will she need to make in order for each patient to receive 4 treats.

[tex]4 \times 37[/tex]

[tex] = 148[/tex]

[tex] = 148 - 143[/tex]

[tex] = 5[/tex]

therefore, she'll have to make 5 treats more in order for each patient to receive 4 treats

answer= option D

Answer:

A or C

Step-by-step explanation:

Answer: 7.00x10^2

Step-by-step explanation:

Are you asking for the quotient of (1.155 x 10^5)/(1.65 x 10^2)?

If so, divide (1.155/1.65) = 0.7000.

Then subtract 2 (the bottom exponent from [tex]10^{2}[/tex]) from the top exponent:  [tex]10^{5}[/tex] becomes [tex]10^{3}[/tex].

Combine the two:  0.7000x10^3

Move the decimal point to the right by one:  7.00x10^2 (to 3 sig figs).

7 x 10² is the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific

notation.

To find the quotient of these two numbers in scientific notation, you divide the two significant figures and then subtract the exponents of 10. The calculation would be as follows:

(1.155 x 10⁵) / (1.65 x 10²)

Dividing the significant figures:

1.155 / 1.65

= 0.7

Subtracting the exponents:

5 - 2 = 3

So, the quotient in scientific notation is approximately:

0.7 x 10³

Which can also be written as:

7 x 10²

Hence, the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific

notation is 7 x 10².

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Answer:

area = 4^2

side lengths 4 ft

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

Answer:

D 22ilsjjssiksksksksksksks

Step-by-step explanation:

212

Answer: what are the choices?

Step-by-step explanation:

A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:

scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]

In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.

Thus;

diameter of circle = 2 * 3

                             = 6 inches

But;

1 feet = 12 inches

So that;

x = 6 inches

⇒ x = [tex]\frac{6}{12}[/tex]

      = [tex]\frac{1}{2}[/tex]

x = 0.5 feet

Thus, the diameter of the circle is 0.5 feet.

So that;

scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]

                    = 0.125

scale factor = [tex]\frac{1}{8}[/tex]

The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

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Answer:

the answer is b

Step-by-step explanation:

Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

Step-by-step explanation:

2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.

so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.

therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).

so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.

for the small one there would be six small helicopters and two big ones

and the total weight would be 11 for the two containers like one container of large helicopters and one container of small helicopters

if it's wrong i'm very sorry i'm bad at word problems

Answer:

In attachment I have answered this problem.↑↑

Hope this helps.

If you have any doubt, then you can ask me in the comments.

Answer:

a) she will become used to it, knowing everyone must go.

b) i guess most children can intuit their loss of childhood's freedom on that first day of school.

Explanation: i took the quiz