A coordinate plane. A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line? –3 –2 2 3

A Coordinate Plane. A Line Has A Slope Of 3/2 And Has A Y-intercept Of 3. What Is The X-intercept Of

Answers

Answer 1

Answer:

x-intercept is equal to 2 (Option 3)

Step-by-step explanation:

Slope = m = -3/2

y-intercept = b =  3

Putting in the slope-intercept form

=> y = [tex]\frac{-3}{2} x+3[/tex]

For finding x- intercept, y must be equal to 0

=> 0 = (-3/2)x+3

=> -3/2 x = -3

=> 3/2 x = 3

=> 3x = 6

Dividing both sides by 3

=> x = 2

Answer 2

Answer:

the third option 2

Step-by-step explanation:


Related Questions

If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2

Answers

Answer:

a is answer correct i think

Step-by-step explanation:

For the following questions answer independent, dependent, or both. a) This probability causes you to subtract one from the total on the second draw because you don't replace. b) This probability causes you to multiply the probability of the first event by the probability of the second event. c) This probability causes you to leave the total the same on the second draw because you replace.

Answers

Answer:

(a)Dependent

(b)Both

(c)Independent

Step-by-step explanation:

a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.

Dependent

(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.

Both

(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.

Independent

Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]

Answers

Answer:

Step-by-step explanation:

3. What is the value of x + y?

Answers

Answer:

y = 50 x = 10.

Step-by-step explanation:

Let's solve for y first.

We know the line angle 80 and angle 2y-5 is on a 180 degree line.

Now we can do our work:

180 - 85 = 95

2y - 5 = 95

95 + 5 = 100

100 ÷ 2 = 50

2(50) - 5 = 95?

The equation is correct, therefore y = 50.

No we do the same thing for the other angles, 90 and 3x + 55.

Again, 180 line.

180 - 95 = 85

3x + 55 = 85

85 - 55 = 30

30 ÷ 3 = 10

3(10) + 55 = 85?

The equation is correct therefore x = 10.

Thus, y = 50 and x = 10.

Solve the equation. 1.25 =0.75+r

Answers

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

How to determine the solution to the equation for r

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

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

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use the greatest common factor and the distributive property to find the sum of 36 and 8. The Greatest common factor is 16

Answers

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...

Identify examples and non-examples of the standard form of a linear function.

5x - 3y = 9

y = 1/2x - 3

2x + 3y = 0

x + y = 1

x = 6y

y = x - 2

Which are examples and which are non- examples?

Answers

Answer:

5x - 3y = 9 (Example) y = 1/2x - 3 (Non-Example) 2x + 3y = 0 (Example) x + y = 1 (Example) x = 6y (Non-Example) y = x - 2 (Non-example)

Step-by-step explanation:

Standard form of the equation is given by:

Ax + By = C

Where

x and y are variablesA, B and C are constants which must be Integers. A should always be positive.

Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.

5x - 3y = 9In a form of Ax + By = CA,B and C are constantsA=5 is positive

It is an EXAMPLE of standard form of linear function

y = 1/2x - 3Not in the form of Ax + By =C

NON-EXAMPLE

2x + 3y = 0In a form of Ax + By = CA,B and C are constantsA=5 is positive

It is an EXAMPLE of standard form of linear function

x + y = 1In a form of Ax + By = CA,B and C are constantsA=5 is positive

It is an EXAMPLE of standard form of linear function

x = 6yNot in the form of Ax + By =C

NON-EXAMPLE

y = x - 2Not in the form of Ax + By =C

NON-EXAMPLE

Answer:

answer in the picture

Step-by-step explanation:

ANSWER ASAP :D +Brainliest if correct!
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? (picture below) Jo should have rounded the dividend to –40. Jo should have rounded the divisor to –6. Jo should have divided –7 by –42. Jo should have divided –7 by –7.

Answers

Answer:

Jo should have rounded the divisor to -6.

Explanation:

When rounding, a number with a decimal value below 0.5 rounds down and a number with a decimal value of 0.5 and greater gets rounded up. 0.3 is less than 0.5 which means -6.03 is closer to -6 than -7 and should have been rounded to -6 instead.

Answer:

B!

Step-by-step explanation:

simple division :)))

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Answers

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Which function is illustrated by the following graph?
A curve curves up through (0, 0) to a point, curves down through the x-axis, and curves up to the point.
a.
cosine function
c.
Tangent function
b.
Sine function
d.
Arc tangent function

Answers

Answer:

cosine function:

Answer:

yes its cosine

Step-by-step explanation:

What is one difference in midsegments for triangles versus midsegments for trapezoids?

Answers

Answer:

Step-by-step explanation:

Midsegments of a triangle and a trapezoid are alike, because their endpoints, are the midpoints of the sides they touch. ... whereas, the length of a midsegment of a triangle is base/2.

The one difference in midsegments for triangles versus midsegments for trapezoids Midsegments of triangles and trapezoids are different because we can draw 3 of them in triangles, but only one in trapezoids.

What are triangles and trapezoids?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

If a line through the midpoint of a leg of a trapezoid is parallel to its bases, then the line passes through the midpoint of the other leg.

The midsegment of a trapezoid is half the length of the two parallel sides.

The midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it.

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Which of the following is a triangle congruence theorem?
A) SAS
B) AS
C) SSA
D) AAA

Answers

Answer:

Sas

Step-by-step explanation:

Josephine bought a sweater for $9.99 and a skirt for $21.50. She gave the clerk $50. How much change did she receive

Answers

Answer: $18.51

Step-by-step explanation:

She paid $50

Her total purchases

$9.99 + $21.50 = 31.49

Change = (50 - 31.49) = 18.51

The answer is $18.51

Step by step explanation:
$9.99 + $21.50 = $31.49
$50 - $31.49 = $18.51

Hope it helps

Video games sold: x
Revenue function: R(x) = 60x
Cost function: C(x) = 12 + 7x
Profit function: Px) =

Answers

Answer:

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Step-by-step explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x  for the sale of x video games

As we know profit = sale price - cost price

Therefore P(x) = R(x) - C(x)

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.

Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2

Answers

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Louis was saving money to purchase a remote-controlled model airplane. The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week. If he saved all of his money, he would have 6+5x dollars after x weeks. How much money would Louis have after 8 weeks, and would it be enough?

Answers

Answer:

$ 46 and it's not enough

Step-by-step explanation:

6 + 5x

x = weeks

so after 8 weeks, his money should be

6 + 5(8) = 6 + 40 = $ 46

Not enough for buying RC model airplane

The money for Louis have after 8 week will be $46.

And, It is not enough.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week.

And, He would have 6+5x dollars after x weeks.

Now,

The money after 8 week = 6 + 5 × 8

                                      = 6 + 40

                                      = $46

Thus, The money for Louis have after 8 week will be $46.

Since, The plane cost $48.

Hence, It is not enough.

Therefore, The money for Louis have after 8 week will be $46.

And, It is not enough.

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please help with this

Answers

Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

. When f(x)=6x + 4 and g(x) = -6x + 3, find (g ◦ f)(6).

Answers

Answer:

- 237

Step-by-step explanation:

To evaluate (g ○ f)(6) , evaluate f(6) and use the value obtained to evaluate g(x), that is

f(6) = 6(6) + 4 = 36 + 4 = 40, then

g(40) = - 6(40) + 3 = - 240 + 3 = - 237

Answer:

First find g o f(x)

= -6(6x +4) + 3

= -36x -24 +3

= -36x -21

g o f(6) = -36(6) - 21

= -216-21

= -237

Hope this helps.

Factor completely 3x2 − x + 5.


Prime

(3x + 1)(x − 5)

(3x − 1)(x + 5)

(x + 1)(3x − 5)

Answers

Answer:

Prime

Step-by-step explanation:

When faced with these equations, if you cant divide each term by the same GCF you multiply the like variable, exponent, or variable aka 3 here times the last term aka 5 here. So 3 times 5 is 15.

neither or these equations equal one when added or subtracted so the answer is prime.

15

1*15

3*5

The quadratic equation is not factorized completely. The given factors are prime factors. Option A is correct.

What is prime factorization ?

A mathematical quantity is factorized when it is expressed as multiples of smaller units of closely related quantities.

Factorization is the breakdown of an integer into smaller numbers that, when multiplied together, yield the original, considered number. Factors of those regarded as integers are those who make up an integer.

When all those factors are prime numbers, this is known as prime factorization. In other words, prime factorization expresses an integer in terms of prime multiples.

Given equation;

⇒3x²-x+5

The above quadratic equation is not factorized completely. The given factors are prime factors.

Hence option A is correct.

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Please help me. Multiply. (x−5)(3x+6) Express the answer in standard form. Enter your answer in the box.

Answers

Answer:

3x² - 9x - 30

Step-by-step explanation:

We use FOIL to multiply (First, Outside, Inside, Last)

Step 1: F

3x²

Step 2: O

6x

Step 3: I

-15x

Step 4: L

-30

Step 5: Rewrite

3x² + 6x - 15x - 30

Step 6: Combine like terms

3x² - 9x - 30

Answer:

[tex]3x^2-9x-30[/tex]

Step-by-step explanation:

Use the FOIL method to solve:

First: [tex]x*3x=3x^2[/tex]

Outer: [tex]x*6=6x[/tex]

Inner: [tex]-5*3x=-15x[/tex]

Last: [tex]-5*6=-30[/tex]

Combining them all, we get:

[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]

HELP PLEAASEEE QUICK

Choose the correct graph of the following condition.

{(x, y) : x≥2}∩{(x, y) : y≥2}

Answers

Answer:

see below

Step-by-step explanation:

{(x, y) : x≥2}∩{(x, y) : y≥2}

First {(x, y) : x≥2}

A solid line at x =2 and shaded to the right

(x, y) : y≥2

A solid line at y =2 and shaded above

∩ means intersection or where they overlap

The green area is where they over lap

x≥2y≥2

These are the equations

Here clearly the lines lie in Q1 and 2 units away from both the axis

B is most suitable because it's intersection means their common or overlapping area

Please complete the attachment attached below

Answers

Answer:

The mode is 7 , median is 7 and the range of data is 2.8

Step-by-step explanation:

Stem leaf diagram :

5 | 7   7    9

6 | 5 6 8 8 9

7 | 0 0 0 2 5 5 7 8

8 | 4 4 5

Key : 5|7 means 5.7 cm

So, Data : 5.7,5.7,5.9,6.5,6.6,6.8,6.8,6.9,7.0,7.0,7.0,7.2,7.5,7.5,7.7,7.8,8.4,8.4,8.5

a)Mode : The most occurring number in the data is the mode

So, 7 is the mode of the data

b)

No. of observations = n = 19

[tex]Median = \frac{n+1}{2}\text{th term}\\Median = \frac{19+1}{2} \text{th term}\\Median = 10 \text{th term}\\Median = 7.0[/tex]

C)Range = Maximum - Minimum= 8.5 - 5.7 =2.8

Hence The mode is 7 , median is 7 and the range of data is 2.8

Ms. Eskew's class had a class average of 89 % on their Math test. How would this be written as a ratio? A. 11:100 B. 89:100 C. 78:100 D. 100:89

Answers

Answer: 89:100

Step-by-step explanation:

89% out of a possible 100%

So, ratio will be 89:100

The vertex of this parabola is at (4,-3). Which of the following could be its
equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4

Answers

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

Use the diagram to find the angle measures.
Find m∠1, m∠3, and m∠4 if m∠2=117°.
Find the measures of all four angles if m∠2+m∠4=220°.

Answers

Answer:

1.) m∠1 = 63 degree

m∠3 = 63 degree

m∠4 = 117 degree

m∠2 = 117 degree

2.) m∠1 = 70 degree

m∠3 = 70 degree

m∠4 = 110 degree

m∠2 = 110 degree

Step-by-step explanation:

Given that

1.) m∠2 = 117°.

In the figure, m∠1 is vertically opposite to m∠3, and m∠4 is vertically opposite to m∠2

Therefore, m∠2 = m∠4 = 117° ( because vertically opposite angle are equal)

Also, the sum of angles at a point is equal to 360 degrees

m∠2 + m∠4 = 234°

Take 234 away from 360. That is,

360 - 234 = 126

126/2 = 63 degrees.

Therefore, m∠1 = m∠3 = 63°

2.) If m∠2 + m∠4 = 220°

Subtract 220 from 360 since the sum of angles at a point is equal to 360 degrees

360 - 220 = 140

Divide 140 by 2 and also 220 by 2 to get

140/2 = 70 and 220/2 = 110

Therefore,

m∠1 = 70 degree

m∠3 = 70 degree

m∠4 = 110 degree

m∠2 = 110 degree

Find the value of the expression 8x↑3 if: x=3

Answers

Answer:

216

Step-by-step explanation:

8x³

Put x as 3 in the expression.

8(3)³

Solve the power.

8(27)

Multiply.

= 216

Please help me ASAP!!!

Answers

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

Same question need help asap!

Answers

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

There are 32 students in a class. They are taking either biology or chemistry or both. The
number of students taking biology is three times as many as the number of students
taking chemistry. If 4 students are taking both biology and chemistry, how many
students are in biology?

Answers

Answer:

27

Step-by-step explanation:

Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:

x - 4 + 3x - 4 + 4 = 32

4x - 4 = 32

4x = 36

x = 9

Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.

Answer:

27

Step-by-step explanation:

share £12 in the ratio of 3:2:1

Answers

= £6:£4:£2

3+2+5=6
12 divided by 6=2
2x3=6
2x2=4
2x1=2

Make sure you put them in the correct order and put the ‘£’ sign.

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