Answer:
x = -8
Step-by-step explanation:
4x - (9 - 3x) = 8x - 1
remove parenthesis
4x - 9 + 3x = 8x - 1
add 9 to both sides
4x + 3x = 8x + 8
subtract 8x from both sides
-x = 8
x = -8
The solution to the equation 4x - (9 - 3x) = 8x -1 is x = -8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
4x - (9 - 3x) = 8x -1
Open the brackets
So, we have
4x - 9 + 3x = 8x - 1
Evaluate the like terms
So, we have the following representation
7x - 9 = 8x - 1
Next, we have
8x - 7x = 1 - 9
So, we have
x = -8
Hence, the solution is x = -8
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On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
The statement that is true about the function is:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).What is the function of a graph?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have:
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.
Hence, the correct option is A.
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QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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Solve for x
-5x+3(x+5)=11
Simplify your answer as much as possible
Answer: x = 7
Step-by-step explanation:
-5x + 3(x + 5) = 1
-5x + 3x + 15 = 1
-2x + 15 = 1
-2x = -14
x = \(\frac{-14}{-2}\)
x = 7
1. BOWLING Brooke went bowling with her friends. She bowled 3 games, and
her average score for those games was 121. She had 117 her first game and
108 her second game. Write and solve an equation to find g, the score of
her third game.
pls show your work
Answer: x = 138
Step-by-step explanation:
\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)
f(x) = -2x^2+3x-6
how does the function open
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
Which of the following equations are true? Select all that apply. (Source: Grade 8 Testlet, March 2016) (**Choose carefully, answer choices maybe out of order)
HELP PLEASE NOWWWWWWWWWWWWWWWWWWWWWW IT ON A TEST
Answer:
A.), C.), D.) are true
Step-by-step explanation:
Use the properties of exponents.
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
Hot dogs and corndogs were sold at last night's football game. A total of 81 were sold which allowed the concession stand to bring in $201. How many of each were sold?
The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53
What is total cost?Total cost is the overall expense incurred for a particular product, service, or project. It includes both fixed and variable costs, such as materials, labor, and overhead. It is often used in business and economic analysis as a measure of the efficiency and profitability of a particular venture. The total cost of a product or service can also be used to set prices and make pricing decisions.
According to question:-
step1
h = number of hotdogs
c = number of corndogs.
cost of hotdog = $3
corn dog = $1.50
The equation:
3h + 1.50c = 201 (1)
h = 2c - 3 (2)
step2
substitute (2) into (1)
3(2c - 3) + 1.50c = 201
6c - 9 + 1.50c = 201
7.50c - 9 = 201
7.50c = 201 + 9
7.50c = 210
c = 210/7.50
c = 28
Therefore,
h = 2c - 3
= 2(28) - 3
= 56 - 3
= 53
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What is the cost of a pair of shoes if they retail for $18.50, have a tax of 6%, and you have a coupon for 20% off after taxes
Answer:
$15.69
Step-by-step explanation:
multiply the retail price by 1.06 to get the price after taxes.
find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer
Solve the inequality 5x – 6 < 2 + (30 – 4). Express the solution as an inequality
Answer:
x < 6.8 or 34/5
Step-by-step explanation:
The parenthesis on the right side don't affect the inequality in any way so we can get rid of that.
5x – 6 < 2 + 30 – 4
Now we simplify the right side by combining like terms.
5x - 6 < 28
Our goal is to isolate x
Add 6 to both sides
5x < 34
Divide both sides by 5
x < 34/5
x < 6.8
Tell whether the sequence is arithmetic. If it is what is the common difference? Explain.
{1, 5, 9, 13, …}
The sequence is arithmetic because the common difference is 4.
Answer:
the sequence is arithmetic. the cd is 4
Step-by-step explanation:
1 + 4 = 5
5 + 4 = 9
9 + 4 = 13
Find the slope of the line in simplest form (-3, 1) (1, -4)
Answer:
slope = - \(\frac{5}{4}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 3, 1 ) and (x₂, y₂ ) = (1, - 4 )
m = \(\frac{-4-1}{1-(-3)}\) = \(\frac{-5}{1+3}\) = \(\frac{-5}{4}\) = - \(\frac{5}{4}\)
.
Find the distance from the center of a circle (2, -3) to a point that lies on the
circle (-1, -2).
Right answer and I’ll give you all five stars
Answer:
The distance from the center of a circle (2, -3) to a point that lies on the circle (-1, -2) is the square root of 10.
Step-by-step explanation:
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
The sum of twice a number, m, and 7 is equal to 15 less than the number,
m. What is the value of m?
Answer:
2m+7 = m-15
2m-m+7 = -15
1m = -15-7
1m = -22
m = -22
Find the value of x:
With regards to the above geometry problems the value of x are given below.
a) Here x = 15
b) here x = 28
These are solved using proportions.
How does proportion help to solve the above problems?Proportion helps to solve the above problems by setting two ratios equal to each other and cross-multiplying to solve for the unknown variable, which satisfies the ratio relationship between the two quantities.
a)
To solve for x, we can cross-multiply the fractions and simplify:
x/20 = 9/12
Cross-multiply:
12x = 9 * 20
Simplify:
12x = 180
x = 15
Therefore, the solution to the equation x/20 = 9/12 is x = 15.
b)
To solve for x, we can cross-multiply the fractions and simplify:
15/(x-3) = 18/(x+2)
Cross-multiply:
15(x+2) = 18(x-3)
Simplify:
15x + 30 = 18x - 54
Subtract 15x from both sides:
30 = 3x - 54
Add 54 to both sides:
84 = 3x
Divide both sides by 3:
x = 28
Therefore, the solution to the equation 15/(x-3) = 18/(x+2) is
x = 28.
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HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
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Peter borrowed $100,000 at 8% compounded
annually, how much will he be paying after 2
years?
Answer:
The general formula for this type of problem is F=P[1+(i/n)]^(nt), where F is the Future Worth, P is Present Worth, i is interest, n=1 for annual payments, and t for the number of periods - which is 2. This is solved as: F=100000[1+(0.08/1)]^(1*2)=116640
Step-by-step explanation:
Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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I need assistance please.
Your Assignment
Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transformations. They give two different answers.
Answer the questions to investigate ways to transform ABCDE.
1. Olivia finds a combination of two different transformations that moves ABCDE onto A"B"C"D"E". What is one way she might have done this? (3 points)
2. Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E". (3 points)
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not. (4 points)
One way Olivia might have moved ABCDE onto A"B"C"D"E" is by first reflecting ABCDE over the x-axis, and then translating it 4 units to the left and 6 units down.
1) This would map point A to A", B to B", C to C", D to D", and E to E", creating A"B"C"D"E".
2) Angelica's transformation does not result in a figure that matches A"B"C"D"E". Reflecting ABCDE over the y-axis would map point A to A", B to E", C to D", D to C", and E to B", so the shape would be flipped horizontally. Translating it up 8 units would then shift the shape up, but it would still be horizontally flipped, so it would not match A"B"C"D"E".
3) Michael's claim is not correct. Translating ABCDE diagonally 8 units up and 10 units right would move point A to point J, which is not on A"B"C"D"E". The other points would also not be in their correct positions, so the resulting shape would not match A"B"C"D"E". To get to A"B"C"D"E" with one transformation, Michael would need to use a combination of translation, rotation, and/or reflection.
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choose all of the equations for which x = 1/2 is a solution
A. 2x = 4
B. 3x = 3 1/2
C. 4x=2
D. 4+x=4 1/2
E. 16x = 8
Answer:
C and E
Step-by-step explanation:
NEED HELP ASAP (ILL GIVE BRAINLIST)
Answer:
the answer is 33 9/11
Step-by-step explanation:
multiply the fractions
.
.
Answer:
33 9/11
Step-by-step explanation:
22 6/11 x 1 1/2
Convert into improper fractions.
248/11 x 3/2
Reduce the numbers with the greatest common factor 2.
124/11 x 3
Calculate
372/11
=33 9/11
Hope this helps :)
HELP HELP PLEASEEE!!!Raul is a medical assistant making an hourly wage of $15 per hour. He wants to save extra money for
Christmas this year so he decides to work overtime for one week. His boss pays him time and a half for
overtime hours. During that week, Raul wąrked 40 regular hours and 15 overtime hours. How much did
Raul make that week, before taxes?
Answer:
337.5 in overtime and 600 in regular so 937.50 total
Answer:
$937.50
Step-by-step explanation:
"time and a half" means times 1.5.
he gets 1.5 times for overtime hours than what he normally gets for working hours.
normally he makes $15 per hour.
for overtime he makes 15×1.5 = $22.50 per hour.
Raul worked in that week 40 regular hours per $15, and he worked 15 overtime hours per $22.50.
so, his total earnings that week were
40×15 + 15×22.5 = 600 + 337.5 = $937.50
How do I get n(E)/n(S)= 7,650/341,055 simplified to 170/7579
Answer:
Divide the numerator and denominator by 45.
Step-by-step explanation:
7650/341055
Divide the numerator and denominator by 5.
1530/68211
Divide the numerator and denominator by 3.
510/22737
Divide the numerator and denominator by 3.
170/7579
Which values are solutions to the inequality -3x - 4 < 2? Check all of the boxes that apply.
-4
-2
0
3
x < -2 values are solutions to the inequality .
What are the mathematical inequalities?
In mathematics, inequalities describe the connection between two values that are not equal. Equal does not imply inequality. The "not equal symbol ()" is typically used to indicate that two values are not equal. The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. The x values for which the inequality holds true are what we are most interested in determining.-3x - 4 < 2
-3x < 2 + 4
-3x < 6
x < 6/-3
x < -2
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I NEED THIS ASAP PLEASE HELP MEEEEE
Prove the Pythagorean Theorem using similar triangles.
Somebody knows how to do that?
Answer:
p(g) (85 if 3g)
p(g) (135 if 3g)
p(g) (195 if 6g)
lets move p fwd so that 3+3+2 = 8
8 games = 3(85) + 3(135) + 2(195)
= 255 + 405 + 390
= 1050 yards
Statement would be something like > more than 1000 or designed around a division as proof to prove average or mean per game = 1050/8 = 131.25 mean or even the range 405-255 = 150 range whilst the median would be 135
Last question asks '' How many games has James played when he has scored 85 yards? '' The answer would be 1 game can be shown as g or 1g.
Let me know what the statement choices are and I'd be happy to help.
Step-by-step explanation:
(URGENT) Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.
The value of angle 3 is 127 degrees.
How to find angles formed by parallel lines?Parallel lines are those lines that are equidistant from each other and never meet.
Parallel lines cut by a transversal, forms different angle relationship like alternate angles, corresponding angles, etc.
The line a and m are parallel lines.
The parallel lines are cut by a transversal y.
The angles formed are 1, 2, 3, 4, 5, 6, 7, 127 degrees etc.
This angles are related by alternate rule or corresponding rule.
Therefore,
∠3 is an alternate angle to 127 degrees.
Hence, alternate angles are congruent.
Therefore,
∠3 = 127 degrees.
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If 2 more than 2/3 of a certain number is
8, then the number is
Answer:
4/3 because 2/3x2/1=4/3×2=8/6÷2=4/3