How many solutions does the equation 5x + 3x − 4 = 10 have?


Zero

One

Two

Infinitely many

Answers

Answer 1

I believe that it has two solutions

Answer 2

Answer:

The given equation has just one solution

Step-by-step explanation:

To find the solution to the problem given, we will follow the steps below;

5x + 3x - 4 = 10

We will first start by simplifying

8x - 4 = 10

Add 4 to both-side of the equation

8x - 4 + 4 = 10 + 4

8x = 10

Divide both-side of the equation by 8

8x/8 = 10/8

At the left-hand side of the equation, 8 will cancel-out 8 leaving us with just x while at the right-hand side of the equation 10 will be divided by 8

x=1.25

Therefore the given equation has just one solution


Related Questions

if 2x- 3 + 3x = 28 what is the value of x

Answers

Answer:

x= 31/5  (Exact form)

x= 6.2  (Decimal Form)

x= 6 1/5 (Mixed number form)

Step-by-step explanation:

Lawrence got a car loan from a bank, with the car as collateral. What kind of loan did he get?

A. a secured loan
B. an unsecured loan
C. a fixed-rate loan

Answers

The answer is A. A secured loan, hope this helps!

Answer:A, a secured loan

Step-by-step explanation:

What is the solution of square root x^2 + 49=x+5

Answers

Answer:

-44

Step-by-step explanation:

√x²+49=x+5

X+49=x+5

x-x=5-49

=-44

Answer:

x = 12/5

Step-by-step explanation:

[tex]\sqrt{x^{2}+49 } = x +5[/tex]

Square both sides: ([tex]\sqrt{x^{2} +49}[/tex])[tex]^{2}[/tex] = (x+5)[tex]^{2}[/tex]

[tex]x^{2} + 49 = (x+5)(x+5)\\[/tex]

[tex]x^{2} +49[/tex] = [tex]x^{2} + 10x + 25\\[/tex]

49 = 10x + 25

24 = 10x

[tex]\frac{12}{5}[/tex] = x

What does |a|=|b| mean?

Answers

Answer:

  a = ±b

Step-by-step explanation:

The vertical bars are the symbol for "absolute value", so the equation is saying, "the absolute value of 'a' is equal to the absolute value of 'b'." The absolute value is the magnitude of a number, so, for example, |-3| = 3.

If the magnitudes of two numbers are the same, they may be the same value, or they may differ in sign.

Answer:

See below.

Step-by-step explanation:

The 2 vertical lines about  the letters mean ' the absolute value of' . That is if a  or b have negative values then the absolute value will be the positive . For example if a = -4 then |a| = 4. The absolute value is always positive.

Therefore, for example, if a is 2 and b = -2 then |a| will be equal to |b|, because they both have a value of 2.

Which equation can be used to solve forB?

Answers

Answer:tan 30 = 5/b

Step-by-step explanation:

From the diagram line BC is opposite to the angle 30 and line AC is adjacent to that same angle

From trigonometric ratios

Tan 30 = opposite /adjacent

Answer:

The correct answer is first option

Step-by-step explanation:

Points to remember

Trigonometric ratio

Tan θ = Opposite side/Adjacent side

From the figure we can see that a right angled triangle ABC

BC = 5 cm, <A = 30° and <C = 90°

To find the correct equation

We have,

Tan θ = Opposite side/Adjacent side

Tan 30 =BC/AC

Tan 30 = 5/b

The correct answer is first option.

Which value is an output of the function?

Answers

Answer: An output is the function

Step-by-step explanation:

Which of the following is a polynomial function in factored form with zeros at 0, -3, and 4

Answers

Answer:

Option A is correct.

Step-by-step explanation:

The polynomial with factors with zeros at 0,-3 and 4 means

x=0 and x =-3 and x=4

this can be written as:

x=0, x+3 =0 and x-4=0

or

x(x+3)(x-4) =0

or

f(x) = x(x+3)(x-4)

So, Option A is correct.

Please help! Need to confirm my answers.
Match the exponential functions f(x) and g(x) with their key features.

Answers

Answer:

Step-by-step explanation:

Average rate of change is Δy / Δx.

For f(x):

[ f(1) - f(0) ] / (1 - 0)

(1 - 3) / (1 - 0)

-2

For g(x):

[ g(1) - g(0) ] / (1 - 0)

(4 - 3) / (1 - 0)

1

Students were surveyed to find out the most popular pizza topping. According to the bar graph, how many students were surveyed?

A) 42
B) 44
C) 46
D) 48

Answers

The total number of students surveyed = 44 students

The answer is option D.

What is a bar graph?

A bar graph is a graph that presents categorical data with rectangular bars. The heights are proportional to the values that they represent. The bars can be plotted vertically or horizontally.A bar graph shows comparisons among different categories.

According to the given graph, the total number of students is equal to the sum of all the students in each vertical column.

∴tota students surveyed=12+8+9+15=44 students answer.

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Kyle needed about 1 liter of water to fill a container. Did Kyle most likely fill a small glass, a spoon, or a vase?​

Answers

The answer is vase.

A spoon is less than 3 ounces for sure.

A small glass is 8 ounces or less.

A vase is probably a liter of more.

Good luck!

Determine which statements are true regarding the given solid. Check all that apply.

The three-dimensional solid is a hexagonal pyramid.

The three-dimensional solid is a hexagonal prism.

The solid can be created by stacking the same-size hexagons vertically.

The solid can be created by stacking dilated hexagons vertically.

Point D is the apex of the pyramid.

Answers

option A, D, and E

I just took it on edge

The true statement regarding the shape are:

The three-dimensional solid is a hexagonal pyramid.The solid can be created by stacking dilated hexagons vertically.Point D is the apex of the pyramid.

Base: The bottom surface of a pyramid is a polygonal shape, such as a square, rectangle, triangle, or any other polygon. The base is typically larger in area compared to the other faces.

Faces: Pyramids have triangular faces that slope inward from the edges of the base to a single point at the apex. The number of faces depends on the number of sides of the base polygon.

Vertices: A pyramid has several vertices where the edges of the base meet the triangular faces, and one vertex where all the triangular faces converge at the apex.

Edges: The edges of a pyramid are the lines where the faces intersect. For example, a square pyramid has 8 edges (4 from the base and 4 connecting the base to the apex).

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

y = x – 12
y = x – 4
y = x + 2
y = x + 6

Answers

Answer:

y = x - 4

Step-by-step explanation:

y - 4 = x - 8

y = x - 4

Answer:

slope-intercept form of the equation for this line is [tex]y=x -4[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8).

To find slope intercept form of a equation of a line we solve for y

[tex]y - 4 = (x - 8)[/tex]

We remove the parenthesis

[tex]y -4 =x - 8[/tex]

To get y alone, we need to add 4 on both sides

[tex]y -4+4=x - 8+4[/tex]

[tex]y=x -4[/tex]

slope-intercept form of the equation for this line is [tex]y=x -4[/tex]

how do you plot f(x)= (x + 4) ^2

Answers

I hope this helps please tell me if it doesn’t

Solve the equation below algebraically for the exact value of x.
6 - 2(x + 5) = 42​

Answers

Answer:

x= -19

Step-by-step explanation:

6-2(x+5)=42

6-2x-10=42

-4-2x=42

-2x=38

x= -19

Which basic calculation or process in mathematics relates to factors?

Answers

Final answer:

Dimensional analysis, also known as the factor-label method, is a mathematical process related to factors, specifically used for unit conversions and complex computations to ensure correct units are obtained in the results.

Explanation:

The basic calculation or process in mathematics that relates to factors is known as dimensional analysis or the factor-label method. This method is integral in solving problems involving unit conversions and more complex computations, where the orientation of factors according to their units is essential to ensure that quantities cancel out or combine correctly to give a result with the desired units.

Through the factor-label method, we can transform quantities into different units by multiplying by conversion factors, which are ratios that equal one, to achieve the intended units for the result. This approach ensures that we conduct operations on the units of the quantities in the same way we do on the numbers.

For example, if we want to convert meters into inches, we multiply the quantity in meters by a conversion factor that expresses the number of inches in a meter. This factor, being a ratio of inches to meters, aligns the units so that 'meters' cancel out, leaving only 'inches' in the result.

-7 2/3 + ( -5 1/2 ) + 8 3/4 = ?

A: -4 5/12
B: -21 11/12
C: -4 2/3
D: 6 7/12

Answers

Answer:

-4 5\12

Step-by-step explanation:

Identify the Least Common Denominator, 12, then just simply evaluate.

Find the slop of the line shown.

Answers

Answer:

1/3

Step-by-step explanation:

Look up on google "how to find slope" and your answer will be right at the top

The answer is x=3 since its a vertical line. hope this helps.please add brainliest

What is the system of equations by graphing

Answers

Answer:

(x, y) = (0, 4)

Step-by-step explanation:

The two lines intersect at their y-intercept: (x, y) = (0, 4).

2-(-8c)+24-7c simplified

Answers

Answer:

26+c

Step-by-step explanation:

The given expression 2-(-8c)+24-7c simplifies to 26 + c by removing the parenthesis, changing the sign of -8c to +8c, combining like terms, and adding the constants.

The equation 2-(-8c)+24-7c simplifies by applying the distributive property and combining like terms. We first remove the parentheses and change the sign of the term inside, which is -8c, to a positive. Then we combine the like terms, -8c and -7c. The equation simplifies to:

2 + 8c + 24 - 7c = 2 + 24 + (8c - 7c) = 26 + c

So, the given expression simplifies to 26 + c.

98% of the mules who were surveyed said that stubbornness was a good character trait. If 343 mules gave this response, how many were surveyed in total?

Answers

Do a part over whole fraction

98% is a part of 100%

343 is a part of the number of mules who were surveyed in an unknown quantity.

You can set what you know into two proportions equal to each other:

[tex]\frac{98}{100} =\frac{343}{x}[/tex]

***x is the unknown value

Now you can cross multiply/butterfly

98x = 34300

Isolate x by dividing 98 to both sides of the equation

98x/98 = 34300/98

x = 350

This means that a total of 350 mules were surveyed

Hope this helped!

~Just a girl in love with Shawn Mendes

Draw a triangles with sides of 9 cm, 7 cm, and 5 cm. Find its perimeter

Answers

The perimeter is 21 cm.

thanks

Answer:

12 + √74 cm

Step-by-step explanation:

The perimeter (literally meaning "around measure") is the length around an area, shape, or boundary. Here, we have a right triangle, and the legs of that right triangle measure 5 cm and 7 cm. Using the Pythagorean theorem, we can find the hypotenuse (we'll call it h):

[tex]5^2+7^2=h^2\\25 + 49=h^2\\74=h^2\\\sqrt{74}=h\\[/tex]

Adding all the lengths together, we find a perimeter of

5 + 7 + √74 = 12 + √74 cm

An online company lets you download songs for 0.99 cents after you have paid a 5 dollar membership fee. Which domain would be most appropriate to calculate the cost to download songs?

1, rational numbers greater than zero
2, whole numbers greater than or equal to one
3, integers less than or equal to zero
4, whole numbers less than or equal to zero

Answers

The most appropriate domain to calculate the cost of downloading songs is whole number greater than or equal to one.

What are whole number?

Whole numbers include all natural numbers and 0. They are real numbers that do not include fractions, decimals, and negative integers.

It is most appropriate since numbers of songs downloaded cannot be a negative or part quantity.

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Final answer:

The most appropriate domain for calculating the cost to download songs after paying a membership fee is whole numbers greater than or equal to one, as you cannot download fractional or negative numbers of songs.

Explanation:

The most appropriate domain for calculating the cost to download songs, given the information that an online company charges a $5 membership fee and then $0.99 for each song, would be option 2, which is whole numbers greater than or equal to one. The domain is referring to the number of songs you can download after the initial membership fee. Since you cannot download a fraction of a song or a negative number of songs, whole numbers make the most sense in this context. The cost for downloading songs would be the membership fee plus the cost per song times the number of songs downloaded, which is a linear relationship.

How to round 2.06 to the amount to the nearest dollar

Answers

2 because the tens digit place is below 5

it would be 2.00 it’s closer to 2.00 than 3.00

Identify the function in which y varies directly with x

Answers

Answer:

y = kx

Step-by-step explanation:

You'll need to share the possible answer choices in all future posts.  

A function in which y varies directly with x has the form

y = kx, where k is the constant of proportionality.

With more data, it'd be possible for you and me both to identify this constant.

To identify if a function represents a direct variation relationship between \( y \) and \( x \), we need to determine if the function can be written in the form \( y = kx \), where \( k \) is a non-zero constant known as the constant of variation.
Here are the steps to determine if a function shows that \( y \) varies directly with \( x \):
1. Have a function \( f(x) \) to test. The function should be expressed in terms of \( x \).
2. Attempt to write the function in the form \( y = kx \).
3. Analyze the function:
  - If there are no constant terms (that is, no term without \( x \)) and the only term is a multiple of \( x \), then the function shows direct variation. The coefficient of \( x \) is the constant \( k \).
  - If there is a constant term not involving \( x \) (other than when \( x = 0 \)), or if \( x \) is raised to a power other than 1, then \( y \) does not vary directly with \( x \).
Let's look at a few examples:
**Example 1**: \( f(x) = 3x \)
This function is in the form \( y = 3x \), which matches the direct variation form \( y = kx \). Here \( k = 3 \). Therefore, \( y \) varies directly with \( x \).
**Example 2**: \( g(x) = 5x^2 \)
\( g(x) \) does not show direct variation because it does not have the form \( y = kx \); instead, \( x \) is raised to the second power, so it cannot represent a direct variation.
**Example 3**: \( h(x) = -2x + 1 \)
\( h(x) \) has a constant term, \( +1 \), which means it does not match the form \( y = kx \) for direct variation since \( y \) should have no constant term other than the coefficient of \( x \). Thus \( y \) does not vary directly with \( x \).
**Example 4**: \( j(x) = \frac{1}{4}x \)
\( j(x) \) reflects a direct variation. The function can be written as \( y = \frac{1}{4}x \), so \( y \) varies directly with \( x \) with a constant of variation \( k = \frac{1}{4} \).
In conclusion, to determine if \( y \) varies directly with \( x \) within a given function, you only need to inspect the function's form to ensure it is a linear equation with a slope \( k \) and no constant term (other than 0 when \( x = 0 \)).

Please answer correctly thank you!

Answers

If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.

Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.

The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.

X = 180 - 61 - 61 = 58 degrees.

marcia makes a cut through a block of frozen spinach, as shown. what are the dimensions of the exposed cross section?

Answers

The answer is D. 6cm*8cm because the cross section is exactly parallel to the side with those exact dimensions.

Hope this helps!

6cm*8cm because the cross section is exactly parallel to the side with those exact dimensions.

What is cross-section?

A cross section is the non-empty intersection of a solid body in three dimensions with a plane in geometry and science, or its equivalent in higher dimensions. Multiple parallel cross-sections are produced when an item is cut into slices.

Given,

6cm*8cm because the cross section is exactly parallel to the side with those exact dimensions.

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Solve the following system by any method

please and thanks!

Answers

Answer:

B infinitely many solutions

Step-by-step explanation:

8x+9y = -5

-8x-9y =5

Add the two equations together

8x+9y = -5

-8x-9y =5

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

0 = 0

This is always true, so we have infinite solutions

Answer: B

Step-by-step explanation:

There are infinite ways to solve this solution. If you plug it in, you can get the answer of infinite.

which expression is equivalent to 6e+3(e-1)​

Answers

6e + 3(e - 1)

6e + 3e - 3

9e - 3

Answer: Equivalent expression would be 9e-3.

Step-by-step explanation:

Since we have given that

[tex]6e+3(e-1)[/tex]

As we need to simplify the above expression:

First we open the brackets :

[tex]3(e-1)=3e-3[/tex]

Now, add it to 6e.

So, it becomes,

[tex]6e+3e-3\\\\=9e-3[/tex]

Hence, equivalent expression would be 9e-3.

write 6.04 x 10 to the power of -3 as an ordinary number

Answers

Answer: 0.00604

Step-by-step explanation: 10^-3 would be 0.001. If you multiply that by 6.04, you will get 0.00604

I hope that helps! :D

Angles A and B are complementary. Angle A has a measure of (3x +10). Angle B has a measure of (2x +5). What is the value of x?

Answers

Answer:

15

Step-by-step explanation:

Complementary angles mean the two angles add up to 90 degrees. So the step by step would look like this;

3x + 10 + 2x + 5 = 90

5x + 15 = 90

5x = 90 - 15

5x = 75

x = 75/5

x = 15 :)

If the angles A and B are complementary then the value of x is 15.

Complementary angles are two angles whose sum is 90 degrees. In this case, angle A and angle B are complementary, so we can set up an equation based on their measures:

(3x + 10) + (2x + 5) = 90

Now, combine like terms:

3x + 2x + 10 + 5 = 90

Combine the x terms and constants:

5x + 15 = 90

Next, isolate the x term:

5x = 90 - 15

5x = 75

Finally, solve for x by dividing both sides by 5:

x = 75 / 5

x = 15

Therefore, the value of x is 15.

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