Use the drop-down menus to complete each equation so the statement about its solution is true.

Use The Drop-down Menus To Complete Each Equation So The Statement About Its Solution Is True.

Answers

Answer 1

You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

For no solution,

2x + 9 + 3x + x = 6x

For one solution,

2x + 9 + 3x + x = 15

For infinitely many solutions,

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

For no solution,

2x + 9 + 3x + x = 6x

For one solution,

2x + 9 + 3x + x = 15

For infinitely many solutions,

2x + 9 + 3x + x = 6x + 9

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Related Questions

HALP ME PLS E-x-p-la-i-n how you got your answer plsssssss i neeed to know this cr9p

Answers

Answer:

[tex]\sf y = \dfrac{-2}{5}x+1[/tex]

Step-by-step explanation:

Equation of the line: y = mx + b

Where m is the slope and b is y-intercept.

      (5, -1)  & (-5, 3 )

    [tex]\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

               [tex]\sf =\dfrac{3-[-1]}{-5-5}\\\\=\dfrac{3+1}{-10}\\\\=\dfrac{-4}{10}\\\\=\dfrac{-2}{5}[/tex]

  Substitute m = (-2/5) in the equation,

           [tex]\sf y = \dfrac{-2}{5}x+b\\\\Now, substitute \ any \ point \ in \ the \ above \ equation \ and find \ 'b',\\\\(5,-1)\\\\ -1 = \dfrac{-2}{5}*5+b\\\\-1=-2+b\\[/tex]

        -1 + 2 = b

                [tex]\sf \boxed{b = 1}\\\\\bf The \ equation \ of \ the \ line, \\\\ \ y =\dfrac{-2}{5}x+1[/tex]

4) At 5:00am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit. How much did the temperature change? Write an equation and then solve. Show all your steps.

Answers

If the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

It is given that  At 5:00 am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit.

First, the temperature is changed from -14.8 degrees to 0 degrees Fahrenheit and then from 0 degrees Fahrenheit to 6.2 degrees Fahrenheit.

The overall temperature change is,

ΔT =T₂ - T₁

ΔT =6.2° F - (-14.8°F)

ΔT =21°F

Thus, if the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.

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Here is an equation.
y = 3x + 5
a) When x = 10, what is the value of y?
b) When x = -10, what is the value of y?

Answers

Answer:

A(35

B(-25

Step-by-step explanation:

3x10+5=35

3x-10+5=25

let me break it down more for you

3 x 10= 30 + 5= 35

3 x -10= -30 + 5 = 25

2.3.3 congruent triangles

Answers

In the congruent triangles both triangle are same . In this triangle 2.3.3 congruent triangle image given below to understand better.

According to the question, given that

2.3.3 congruent triangle under congruence triangle are explain:

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle. We can see from the examples PQR and XYZ that PQ = XY, PR = XZ, and QR = YZ, and thus P = X, Q = Y, and R = Z. Then, we can state that XYZ and PQR.

To be congruent, the two triangles must be the same size and shape. It is necessary for both triangles to be superimposed on one another. A triangle appears to be in a different place or have a different look as we rotate, reflect, and/or translate it.

Two triangles must meet five requirements in order to be congruent. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

SSS Congruence Criteria

Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.

The three angles of BAC must be identical to the corresponding angles of XYZ if, according to the SSS condition, BAC XYZ.

SAS Congruence Criteria

Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.

The third side (AB) and the other two angles of ABC must be identical to the equivalent side (XY) and the angles of XYZ if ABC XYZ under the SAS condition.

ASA Congruence Criteria

Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.

AAS Congruence Criteria

Angle-Angle-Side criterion is also known as the AAS criterion. Two triangles are said to be congruent according to the AAS criterion if any two angles and the non-included side of one triangle match the corresponding angles and side of the second triangle.

RHS Congruence Criteria

Right angle-hypotenuse-side congruence is referred to as the RHS criterion. If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, then two triangles are said to be congruent according to this criterion.

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what is the simplified value of the exponential expression 33

oa.81
ob.9
oc.18
od.27

Answers

The simplified value of the exponential expression 3³ is 27

What is an equation?

An equation is an expression that can be used to show the relationship between numbers and variables.

Exponent simply mean raising a number to a power. It is also called power or indices. It is given as:

a² = a * a;

a³ = a * a * a

Given the expression:

Applying the law of exponents:

3³ = 3 * 3 * 3 = 27

3³ is 27

The simplified value of the exponential expression 3³ is 27

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Write a quadratic function f whose zeros are -3 and -10.

Answers

Answer:

[tex]f(x)=x^{2} +13x+30[/tex]

Step-by-step explanation:

1. Whenever you write a quadratic function with zeros, you want to put it into a formula like this:

[tex]f(x)= (x-p) (x-q)[/tex]

p and q are the zeros

2. Your zeros are (-3) and (-10). When plugging in the zeros, you always flip the sign on the number. Because you would plug it in as: [tex]f(x) = (x-(-3)) (x-(-10))[/tex]

Two negative signs equal positive signs, so the equation will look like this:

[tex]f(x)=(x+3)(x+10)[/tex]

3. Solve the equation:

a. Use the foil method:  [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]f(x)=x^{2} +10x+3x+30[/tex]

b. Collect like terms

[tex]f(x)=x^{2} +(10x+3x)+30[/tex]

c. Simplify

[tex]f(x)=x^{2} +13x+30[/tex]

Hope that helps!

If the first differences for a table of values is 3.5 the equation is a

equation and the slope is

Answers

When first differences are the same it's a linear equation. First differences are equal to the slope, m. General equation is f(x) = mx + b

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function.

How can one locate an equation?

determine a line's equation from two points:

Using the slope formula, determine the slopeTo find the y-intercept (b), use the slope and one of the points.You can obtain the equation for a line by entering the values of m and b into the slope-intercept form of a line (y = mx +b)

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Shawn’s coin collection contained quarters, dimes, pennies, and nickels. What was the ratio of quarters to the total number of coins?

Answers

A rate ratio  two groups' incidence, person-time, or mortality rates. The two groups are often distinguished by demographic traits or by exposure to a suspected causal agent, similar to how the risk ratio distinguishes them.

The jar contains nine quarters, three dimes, and one nickel, for a ratio of nine to three to one. As a result, the ratio of pennies to quarters is 6: 7. c. Sum up the pennies to quarters ratio. The amount of dime coins to all the coins should be written down.

How should a rate ratio be written?

A ratio can be expressed as a fraction 35, 3:5, or with a colon. In contrast, a rate is a comparison of two quantities that may have several units. A rate might be, for instance, 5 miles every 3 hours or 34 dollars per square foot.

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i need this answer .​

Answers

Answer:

the answer is 60

Step-by-step explanation:

1) Find the LCM of these numbers.
2 = 2, 4, 6, 8, 10, 12,...60, 62, 64
3 = 3, 6, 9, 12, 15, ...57, 60, 63, 66
4 = 4, 8, 12, 16, 20,...52, 56, 60, 64, 68
5 = 5, 10, 15, 20, 25,...55, 60, 65, 70
Answer:
60 is the smallest number that is divisible by 2,3,4 and 5.

solve -1/3(9x+42)-5x=-70

Answers

The answer is: x = -28

This is because -1/3 times (9x + 42) equals (-3x - 14). After multiplying you then subtract -3x - (-5x) which becomes -3x + 5x and equals to = 2x (this is because subtracting by a negative number cancels out both negative signs and transforms it into a plus sign). You then add 14 to both sides of the equation with 2x - 14 (+14) become simply just 2x and -70 (+14) becoming -56.

The equation is now

2x = -56

So you must simply divide -56 by 2 and get:

X = -28

Mr. Sloan and Ms. Estrada are teaching their classes how to write in cursive.
Mr. Sloan has already taught his class 3 letters. The students in Ms. Estrada's class, who started the unit earlier, currently
know how to write 5 letters.
Mr. Sloan plans to teach his class 2 new letters per week, and Ms. Estrada intends to cover 1 new letter per week.
Eventually, the students in both classes will know how to write the same number of letters.
At that point, how many letters will the students know?
Graph a line for each class showing the number of letters taught over time and determine the answer by marking the
point of intersection.

Answers

When students in both the classes will know how to write the same number of letters, At that point they will know 7 letters

What is point of intersection?

Point of intersection is the point where two lines intersect.

Initially Mr. Sloan has taught his class 3 letters

and Ms. Estrada has taught her class 5 letters.

Now, Mr. Sloan is planning to teach his class 2 letters per week and Ms. Estrada is planning to teach her class 1 letter per week

By this rate after one week Mr. Sloan's class would know 5 letters and Ms. Estrada's class would know 6 letters.

In the second week, Mr. Sloan's class would know 7 letters and Ms. Estrada would know 7 letters.

The graph can be given as below

In the graph the black line represents the letters learned by Mr. Sloan's class and blue line represents the letters learned by Ms. Estrada's class

Also on the x-axis we put the number of weeks and on the y-axis we put the number of letters learned.

Both lines intersect at the coordinate (2,7) Which means that in the second week both the classes would have learned 7 letters

Hence student from both the classes would know 7 letters at the end of 2nd week

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What numbers could be added to -4.3? Explain how you know?

Answers

Answer:

any number less than 4.3

Step-by-step explanation:

Let x = number that can be added to -4.3

-4.3 + x < 0

Add 4.3 to both sides.

x < 4.3

Answer: any number less than 4.3

10.5 funding slope and graphing lines

Answers

The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is  [tex]y = (\frac{1}{3} )x[/tex].

Suppose a small grid represents a unit, from the graph,.

We can know,

For line L : When adding a unit horizontally, a unit is also added vertically.

Hence,

The slope of L : 1/1 = 1

For line K : When adding a unit horizontally, a two units are also added vertically.

Hence,

The slope of K : 2/1 = 2

A graph a line whose slope is 1/3, label the line a.

'a' line whole slope is 1/3

Suppose the line 'a' is,

[tex]y = (\frac{1}{3} )x[/tex]

x       0        3

y       0        1

Therefore,

The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is  [tex]y = (\frac{1}{3} )x[/tex].

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The distance from Earth to the sun is approximately 149 million km Taking the speed of light as 3.0 x 10⁸m/s. Calculate how long it takes Sunlight to reach Earth. Give your answer in an appropriate unit​

Answers

Light takes approximately 8 minutes to reach the earth from Sun.

What is distance?

We orbit the Sun at a distance of about 150 million km. Light moves at 300,000 kilometers/second. Divide these and you get 500 seconds, or 8 minutes and 20 seconds. The distance between the Earth's orbit and the Sun's center is between 147 million and 152 million kilometers. Sunlight only needs 490 seconds to reach Earth from its closest point. Finally, it takes 507 seconds for sunlight to reach the farthest location.

Distance = 1.5 x 10^8 km

               = 1.5 x 10^11 m

Velocity  = 3 x 10^8

Time       = (1.5 x 10^11)/(3 x 10^8

              = 0.5 x 10^3

              = 500 s

              = 8 1/3 min

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-3k≥6 I am extremely confused on this question so please help me

Answers

Answer:

k<=-2

Step-by-step explanation:

-3k≥6

3k<=-6 ==> when dividing by negative numbers switch the sign of the inequality

3k/3<=-6/3

k<=-2

Which is the direct linear variation equation for the relationship? y varies directly with x and y = 12 when x = 3.

Answers

If y varies directly with x and y = 12 when x = 3, then the direct linear variation equation for the relationship is y = 4x

y varies directly with x

y ∝ x

The directly proportional mean the value of the one variable will varies with the variation in other variable. That means one variable will be dependent variable and other variable will be independent variable

Here

y ∝ x
y = kx

Where y is the dependent variable

x is the independent variable

k is the constant

The values are

y = 12

x = 3

Substitute the values in the equation and find the value of k

12 = k×3

k = 12/3

k = 4

Substitute the value of k in the equation

y = 4x

Hence, if y varies directly with x and y = 12 when x = 3, then the direct linear variation equation for the relationship is y = 4x

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PLEASE HELP ASAP!! I’ll give u a virtual hug if u solve it

Answers

Answer:

? = 56 m

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{?}{8}[/tex] = [tex]\frac{21}{3}[/tex] = 7 ( multiply both sides by 8 to clear the fraction )

? = 7 × 8 = 56 m

Answer:

Step-by-step explanation:

Find the missing angle on the triangle pls need help

Answers

Answer:
Angle B is 44 degrees.
This is a right triangle.

Steps:
The sum of interior angles in a triangle equals 180 degrees. The given triangle is a right triangle.

So A + B + C = 180
We are given A and C.
46 + B + 90 = 180
B + 136 = 180
180 - 136 = 44

The given triangle is a right triangle and measurement of ∠ B = 44°

What is a right triangle?

A triangle in which one angle is a right angle (that is, a 90-degree angle), i.e., in which two sides are perpendicular.

Given a right triangle,

We know the sum of two angles in a right triangle is 90°

∠ A + ∠ B = 90°

46° + ∠ B  = 90°

∠ B = 44°

Hence, the measurement of ∠ B = 44°

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mg = 5 solve for g please

Answers

Answer:

g = 5/m

Step-by-step explanation:

mg = 5

÷m on both sides to get g on its own

g = 5/m

Can someone please help me!!

Answers

The vector given in Option C is correct.

Define vectors.

In mathematics and physics, the term "vector" is used informally to describe certain quantities that cannot be described by a single number or by a set of vector space elements. a quantity in mathematics that lacks position but has both magnitude and direction. Velocity and acceleration are a couple of examples of these quantities. A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

Given,

The vector should be arranged with the direction going toward the tips of Vector A and Vector B.

Option C is correct.

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can someone please help me figure out what the answer is!!

Answers

Answer:

v = 61

Step-by-step explanation:

Hello, of course! These are vertical angles, which means they're equal to each other, so let's set up an equation, shall we? (:

Knowing that they're equal to each other, both sides of the equation should be equal to each other as well, so...

2v + 1 = 123

Now, that we have the equation, we must solve for the variable v!

2v + 1 = 123
     - 1      - 1

2v = 122

2v = 122
2        2

v = 61

Therefore, v is 61. Once again, vertical angles are equal to each other, so you set up the equation, where both sides are equal. Hope this helped and best of luck with the rest of your work! <3

B C С X+19 T S X+29 8. Solve for x. A. 8 B. 9 C.-8 D. -9 Mark for review (Will be highlighted on the review page)

Answers

In any triangle, the segment joining the mid-points of two sides is parallel to the third side and equal to half its length

B is the mid-point of RS

C is the mid-point of RT

BC = 1/2 ST

BC = x + 19

ST = x + 29

x + 19 = 0.5(x + 29)

x + 19 = 0.5(x) + 0.5(29)

x + 19 = 0.5x + 14.5

Subtract 0.5x from both sides

x - 0.5x + 19 = 0.5x - 0.5x + 14.5

0.5x + 19 = 14.5

Subtract 19 from both sides

0.5x + 19 - 19 = 14.5 - 19

0.5x = -4.5

Divide both sides by 0.5

[tex]\begin{gathered} \frac{0.5x}{0.5}=-\frac{4.5}{0.5} \\ x=-9 \end{gathered}[/tex]

The answer is D

x = -9

-(8x +4)-1=-7x- (x + 5)

Answers

Answer: All real numbers; (−∞ ,∞) ; infinite solutions

Step-by-step explanation:

[tex]-(8x +4)-1=-7x- (x + 5)[/tex]

You want to distribute the (-) in (-(8x +4)) and (- (x + 5))

[tex](-8x - 4) - 1 = -7x (-x - 5)[/tex]

Combine like Terms on Both sides:

[tex]-8x - 5= -8x - 5\\\\\\[/tex]

Add 5 to the right, and Add 8x to the left. (you want to cancel)

[tex]-8x - 5 = -8x -5\\+8x +5 \ \ +8x +5\\\\[/tex]

You are left with: [tex]0 = 0[/tex]

If you are end with 0=0, that means both equations are equal regardless of the variables. Therefore the answer is all real numbers; (−∞ ,∞) ; infinite solutions. You could check by substituting any values, and getting the same answers on both sides.

Function
f(x) = -2x + 17

x-Values
X1 = 0, X₂ = 3

Answers

Answer:

f(X1) = 17 f(X2) = 11

Step-by-step explanation:

f(x1) = -2(0) + 17

f(x1) = 17

f(x2) = -2(3) + 17

f(x2) = -6 + 17

f(x2) = 11

How can I solve this problem?

Answers

a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price

b) The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

Given,

The purchase price for the studio apartment = $200,000

The down payment they paid = $60,000

a) We have to find the percentage of down payment to purchase price.

Here,

Percentage = (down payment x 100) / purchase price

= (60,000 x 100) / 200,000

= 60/2

= 30

That is,

The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.

b) We have to find the percentage to purchase price if the down payment is $90,000

Here,

Percentage = (down payment x 100) / purchase price

= (90,000 x 100) / 200,000

= 90/2

= 45

That is,

The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

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Need done quick for final

Answers

The equation of the function is y = -1/2x.

What is equation of function?

A function is an equation that, for each value of x, has a one solution for the variable y. Each input receives exactly one output when using a function. When x equals 2, we should determine our function's value because f(2) says to do so.

Here points are (-6,3) and (6, -3)

m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

here, m = -3-3/6+6

m = -1/2

equation of line is y = mx + b

y = -1/2x+ b

hence, equation of function is y = -1/2x

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what is 6123-1144 with barrowing


Answers

Answer:

4979

Step-by-step explanation:

PLEASE HELP VERY URGENT

Answers

The simplified forms of the radical expressions:

√2 - 9∛3 4√3 21∛2 - 31√6

How to simplify additions of radical expressions

In this question we find five cases of addition of radical expressions that must be simplified into a single radical expression, that is, a radical expression of the form a√b. The simplification can be done by using algebra properties. The complete procedure is shown below:

Case 1

- 3√18 + 10√2

- 3 · (√9 × √2) + 10√2

- 3 · 3 · √2 + 10√2

- 9√2 + 10√2

√2

Case 2

- 2∛24 - 5∛3

- 2 · (∛8 × ∛3) - 5∛3

- 2 · 2 · ∛3 - 5∛3

- 4∛3 - 5∛3

- 9∛3

Case 3

5√12 - 2√27

5 · (√3 × √4) - 2 · (√3 × √9)

5 · 2 · √3 - 2 · 3 · √3

10√3 - 6√3

4√3

Case 4

5∛16 + 11∛2

5 · (∛8 × ∛2) + 11∛2

5 · 2 · ∛2 + 11∛2

10∛2 + 11∛2

21∛2

Case 5

3√54 - 21√24

3 · (√6 × √9) - 21 · (√6 × √4)

3 · 3 · √6 - 21 · 2 · √6

9√6 - 42√6

- 31√6

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7n-4=31 what does n equals ?

Answers

Answer

n = 5

Explanation

We need to solve for n in the equation given

7n - 4 = 31

Add 4 to both sides

7n - 4 + 4 = 31 + 4

7n = 35

Divide both sides by 7

(7n/7) = (35/7)

n = 5

Hope this Helps!!!

Which equation in standard form has a graph that passes through the point (8,29) and has a slope of 5/2

Answers

Answer:

The equation is y = (5/2)x + 9

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (5/2) which we can use for m:

y = (5/2)x + b

We are told the line goes through (8,29).  We need a value of b that will move the line to include this point.  Do that by substituting the values:

  x = 8, and y=29

y = (5/2)x + b

29 = (5/2)*8 + b

29 = (20) + b

9 =   b

The equation is y = (5/2)x + 9

See the attached graph.

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