Answers
Answer:
The solution is [tex]\displaystyle x=1\pm \sqrt{47}[/tex]. Fourth option
Explanation:
Solve for x:
[tex]2x^2+3x-7=x^2+5x+39[/tex]
Move all the terms from the right to the left side of the equation, a zero in the right side:
[tex]2x^2+3x-7-x^2-5x-39=0[/tex]
Join all like terms:
[tex]x^2-2x-46=0[/tex]
The general form of the quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
Solve the quadratic equation by using the formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In our equation: a=1, b=-2, c=-46
Substituting into the formula:
[tex]\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}[/tex]
[tex]\displaystyle x=\frac{2\pm \sqrt{188}}{2}[/tex]
Since 188=4*47
[tex]\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}[/tex]
Take the square root of 4:
[tex]\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}[/tex]
Divide by 2:
[tex]\displaystyle x=1\pm \sqrt{47}[/tex]
First option: Incorrect. The answer does not match
Second option: Incorrect. The answer does not match
Third option: Incorrect. The answer does not match
Fourth option: Correct. The answer matches exactly this option
Related Questions
The water level of a lake fell by 1 1/2
inches
during a 1 2/3
-week-long dry spell. Find the
average rate at which the water level changed
every week.
Answers
Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
In need of more help I’m thankful for the answers you all have helped me with I need to pass
Answers
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[tex]g(x) = | \frac{1}{5}x | \\ [/tex]
Thus the correct answer is (( B )) .
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The baker has 42 kilograms of flour. She uses 8 kilograms each day.after how many days will she need to buy more flour?
Answers
Answer:
5 days 6hours
Step-by-step explanation:
Given data
total amount of flour=42kg
number of kg used per day=8kg
Since we are expected to know when she will need more, we need to divide the total flour by the daily usage, to know when the flour we be exhausted
divide 42 by 8 we have
42/8=5.25------0.25 days to hours is 6hours
So it will take 5 days 6hours
What are inverse functions?
Answers
If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.
Hope this helps.
2051
20
SINO-V3 COSO - 2
2
Answers
Answer:WHAT DOES THAT EVEN MEAN!?!?
Step-by-step explanation:
!!!!!!!!
Help quick ........ ...
Answers
Answer:
X= 1/5
Step-by-step explanation:
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10.7% of his customers buy a magazine is correct, what is the probability that exactly 4 out of the first 13 customers buy a magazine
Answers
Answer:
0.0329 ≅ 0.03 to two decimal places
Step-by-step explanation:
The owner of a small deli is trying to decide whether to continue or discontinue selling magazines.
His suspicion that only 10.7% of his customers by a magazine (daily) is correct.
What is the probability that exactly 4 out of the first 13 customers (on this day) buy a magazine?
The probability is:
10.7% × 4/13 = 10.7/100 × 4/13 = 0.107 × 0.308 = 0.0329 ≅ 0.03 to two decimal places
Solve the math problem. Make sure your answer has the correct number of significant figures.
10.9 - 8.264
Answers
Answer:
2.636
Step-by-step explanation:
10.900-08.264
2.636
10.9
- 8.264
2.636
27 x 36
What will this equal
Answers
Answer: 27 x 36 = 972
Answer: 972
Step-by-step explanation:
You can do a simple math problem to line them up or calculator
Miranda baked 15 cookies with 3 scoops of flour. With 6 scoops of flour, how many cookies
can Miranda bake? Solve using unit rates.
Answers
Answer:
Miranda can bake 30 cookies with 6 scoops of flour.
Step-by-step explanation:
The rate is 5 cookies for every scoop of flour. to figure this out we need to divide 15 by three, to get 5, so the rate ends up being 5:1
Next, to find out the number of cookies, we need to multiply 5 by 6 to get 30. Therefore, Miranda can bake 30 cookies.
A relative-frequency distribution is to a variable as a __________ distribution is to a random variable.
Answers
Answer:
Probability distributionStep-by-step explanation:
The answer is probability distribution
What is probability distribution?
Probability distribution is a function used to express all the range of random variables and the chances or possibilities of their occurrence.
Basically the function assigns probabilities to some sets of values.
Also There are three major types of probabilities:
Theoretical Probability.
Experimental Probability.
Axiomatic Probability.
A relative-frequency distribution is to a variable as a Probability distribution is to a random variable.
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true.
The probability of an event is usually between 0 and 1, where 0 represent impossibility and 1 represents the chance of it occurring.
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please help asapppp 2
Answers
Answer:
c
need brainest
Step-by-step explanation:
Jose’s school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can get at least 25% of the student population to sign a petition. So far, 82 students have signed the petition. Jose used the following steps to write an inequality that can be used to determine the number of student signatures still needed:
Step 1. Declare the variable: Let x = the number of student signatures still needed.
Step 2. Create a ratio equivalent to StartFraction total number of signatures needed over total number of students in the school EndFraction : StartFraction x + 82 over 426 EndFraction.
Step 3. Convert 25% to a decimal: 25% = 0.25.
Step 4. Write the inequality: StartFraction x + 82 over 426 EndFraction less-than-or-equal-to 0.25.
What is Jose’s error?
Answers
Answer:
D) In Step 4, the inequality should be x+82/426 is at least 0.25
they need 25 more signatures to get their idea carried out
Step-by-step explanation:
Answer:
Step 4
Step-by-step explanation:
I took the test! :D
!~Hope this helped~!
I'm bad at explaining, sorry!
What is the answer for number 4
Answers
Answer:
x=-13
Step-by-step explanation:
All you have to do is divide 8 by both sides because you want to get x by itself.
Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.
If she rounds both values to the nearest ten, her estimate will be 800.
If she rounds both values to the nearest ten, her estimate will be 900.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000
If she rounds both values to the nearest ten, her estimate will be 1,600.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 2,000.
Answers
Answer:
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000 because if you take 88x12, your answer is 1056. so knowing that the closest answer to 1056 is 1000 not 900.
Hope it helped!
Answer:
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000.
Step-by-step explanation:
yes or no i make first answer brailiest
Answers
Answer: yes
Step-by-step explanation:
A box in the shape of a rectangular prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6 inches on each side.
If the length and width of the base are doubled, how many cubes could the new box hold?
18
24
48
96
Answers
Answer: 48 cubes in the new box
Step-by-step explanation:
Doubling the length and the width is 2×2, so 4 times the original capacity.
4×12 = 48
It is not necessary to compute the volume. The dimensions could be anything. It's the number of cubes that count.
Answer:
C, 48
Step-by-step explanation:
I hope that helps!!!!!!!!
6c.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
Now find g(3).
Answers
Answer:
7
Step-by-step explanation:
g(x)=4x-5
g(3)= 4(3)-5
=12-5
=7
Answer:
g(3)=4x-3
Step-by-step explanation:
put 3 into x
know g(3)=4x-3=4×3-1=12-1=11
11 will be the answer
What do the labeled bolts of clothes represent in the political cartoon a American domestic policy be American non-invasive beliefs see American involved in other countries the American support for foreign immigration
Answers
Answer:
C
American involvement in other countries.
Hope it helps ❤️
The labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
What is a labeled diagram?A drawing, chart, or graph that is labeled helps to visualize a concept. Students can better understand the relationships between the diagram's various components by using labeled diagrams in math, science, and language arts.
It is given that the labeled bolts of clothes represent the political cartoon.
They provide a cheerful diversion from the increasingly somber political discourse by offering a colorful alternative to formal news reporting. Cartoons offer a quick and easy way to comment on current events because they can condense news and opinion into a caricature.
Thus, the labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
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You start at (1, -4). You move left 4 units and down 1 unit. Where do you end
Answers
The translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).
What is translation?Translation in mathematics is the movement of a shape in any direction—left, right, up, or down—without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.
Given that you start at (1, -4). You move left 4 units and down 1 unit. The translated point will be calculated as,
(1, -4) ⇒ ( 1 - 1 , -4 - 4)
( 1 , 4 ) ⇒ ( 0 , -8)
Therefore, the translation of the point (1, -4) when you move left 4 units and down 1 unit will be (0,-8).
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Identify if the given sequence is an arithmetic sequence or not. Explain your
answer.
a.) 2, 8, 14, 20, …
b.) 9, 13, 17, 20, 23, …
Answers
Answer:
a is arithmetic sequence.
Step-by-step explanation:
option a is an arithmetic sequence because we use d=t2-t1 formula
so like wise,
8-2=6
14-8=6
20-14=6
What is the value of the expression shown below?
(2/3)²+5×2-4
Answers
Answer:
6 4/9
Step-by-step explanation:
Sorry if it’s a little messy.
Maths is hard but we can do this!
sans and papyrus are making spaghetti
sans used 90% of the cheddar
and papyrus used the other 10%
how much are they using to make the spaghetti
Answers
Answer:
100%
Step-by-step explanation:
90+10=100
Answer:
Step-by-step explanation:
Oh god that’s 100% of the cheddar bag used! PAPYRUS NO THATS TOO MUCH YOULL RUIN UR SPAGHETTI AND SANS UR NOT HELPING. Oh god what if Sans sabotaged his spaghetti... It’s either that, or a more logical explanation: Sans used 90% of the cheddar to flavor his ketchup, while Papyrus was left with the last bit for his spaghetti...?
Papyrus: I am now going to make one of my famous spaghetti dishes with not 10%, but 20% cheddar! Sans! Give me the cheese bag!
Sans: Sure, bud. *hands over 10% of cheddar left in bag*
Papyrus: This... this is only 10% though... now I can’t make my soon to be famous 20% cheese spaghetti... OH MY GOD THIS IS A DISASTER
One like = giving Papyrus that last 10% he needs for his famous spaghetti
find the two angle measures from the diagram 3x+10 3x-28 there's 3 answer's 71,71 109 ,109 109,71 last question brainiest u will get
Answers
Answer:
109 and 71Step-by-step explanation:
3x + 10 + 3x - 28 = 180
6x = 180 - 10 + 28
x = 198/6
x = 33
substitute the value of x = 33 back into the equation to solve for each angle
= 3x + 10
= 3(33) + 10
= 109
= 3x - 28
= 3(33) - 28
= 71
what is the answer of x for this?
Answers
Angle x and angle BOC are supplementary. We know that Supplementary angles add up to 180 degrees
180 = x + 156
Subtract 156 from both sides.
24 = x
The distance from the floor of one level of the building to the floor of the level above it is 9 ft and 3/8 in. If the distance from the floor to the ceiling is 8 ft 2 and 1/2 in, how thick is the space between the ceiling of one floor and the floor of the level above it.
Answers
Answer:
Hope this solution helps you
Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time. Which plumber charges the greatest hourly rate?
Answers
Answer: Took the test
Step-by-step explanation:
Find the sum of the arithmetic sequence 22, 11, 0, -11, ..., –77.
A -198
B.-275
C. -297
D. -385
Answers
Answer:
B.
Step-by-step explanation:
First you need to figure out how many numbers there are, so with this you can simply count 10. Then use the formula to plug in the numbers: 10(22-77)/2 to get the answer.
The required sum of the arithmetic progression is -275.
The arithmetic sequence is given 22, 11, 0, -11, ..., –77, sum of the sequence is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
first term (a) = 22
Last term (l) = -77
Now,
l = a + (n - 1)d
-77 = 22 + (n - 1) *(-11)
-77 - 22 = (n - 1)(-11)
n - 1 = 9
n = 10
Now,
sum of the arithmetic sequence,
s = n / 2 [a + l]
s = 10 / 2 [22 - 77]
s = 5 [-55]
s = -275
Thus, the required sum of the arithmetic progression is -275.
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a backyard has an area of 72 square feet. of the following choices, which is the smallest possible perimeter of the backyard?
Answers
Sjon mixed 3 3/8 cups of red grapes with 4 1/2 cups of green grapes. He then divided the grapes into bags with 1/2 cup of mixed grapes in each. How many bags of grapes will Sjon have?
GIVING BRAINLIEST WORTH 100 POINTS
Answers
Answer:
15 3/4 bags of grapes
Step-by-step explanation: