Answers
Solve x in each quadratic equation:
\(\begin{gathered} 2x^2-32=0 \\ 2x^2-32+32=0+32 \\ 2x^2=32 \\ \frac{2x^2}{2}=\frac{32}{2} \\ x^2=16 \\ \sqrt{x^2}=\sqrt{16} \\ x=\pm4 \end{gathered}\)Solution set for equation 2x^2-32=0 is: (-4,4)
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\(\begin{gathered} 4x^2-100=0 \\ 4x^2-100+100=0+100 \\ 4x^2=100 \\ \frac{4x^2}{4}=\frac{100}{4} \\ x^2=25 \\ \sqrt{x^2}=\sqrt{25} \\ x=\pm5 \end{gathered}\)Solution set for equation 4x^2-100=0 is: (-5,5)
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\(\begin{gathered} x^2-55=9 \\ x^2-55+55=9+55 \\ x^2=64 \\ \sqrt{x^2}=\sqrt{64} \\ x=\pm8 \end{gathered}\)Related Questions
75% of the apple pies are sold on Tuesday and the remainder with thrown out if 12 apple pies were sold on Tuesday then how many worth grown out
Answers
Answer:
75 % of 12 = (75 * 12 ) / 100 = 9 were sold
12 - 9 = 3 were thrown out
Step-by-step explanation:
Triangle ABC with vertices A(4,1) and (c1,1) is graphed on the coordinate plane below. Which transformation of ∆A'B'C' so that AC is parallel to B'C'?
Answers
Answer:
The answer is C.
Step-by-step explanation:
I got a 100% on the quiz!
Check Your Understanding- Question 4 of 4
Which of these is a situation in which a census is a reasonable option?
Attempt 1 of 2
A. A study of the migration of a species of honeybee
B. A study of a drug's side effects
C. A study of the durability of earthquake-proof building materials
D. A decision among six friends about toppings to get on a shared pizza
HINT
SUBMIT
Answers
The term refers to a thorough count, often known as a comprehensive enumeration.
What is meant by census ?
Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.
A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.
The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.
The correct answer is option C. A study of the durability of earthquake-proof building materials.
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Pls help urgently I go to school in 2 hours
Answers
Answer:
A'(4,-4)
B'(6,2)
C'(8,8)
Step-by-step explanation:
we have to change the sign of y in reflection on x-axis and the sign of X in reflection on y-axis
1) You set aside $5,000 in a Barclays Savings Account earning 1% interest per year for 10 years. Find the ending
balance.
Answers
(5000 x 1 x10)/100 = $5,500
PLEASE HURRY
What is the value of the expression 45x − 16 if x is equal to −6?
Answers
Answer:
-286
Step-by-step explanation:
45(-6)-16
= -270 - 16
= -286
Step-by-step explanation:
45x - 16
x = -6
45(-6) - 16
-270 - 16
-286
Hope this helps! :)
Use the distributive property to write an equivalent expression. 4(x+2)
Answers
Answer: 4x+8!
Step-by-step explanation:
Multiply the 4 by x and then multiply the 4 and 2 and bam!
What is 95.2 x 10,000
Answers
Answer:
95.2 x 10,000 = 952,000
Explanation:
95.2 x 10 = 952
95.2 x 100 = 9,520
95.2 x 1,000 = 95,200
95.2 x 10,000 = 952,000
at a given high school the probability that a student is taking a geometry class is 0.24 the probability that a student is taking a chemistry class and a geometry class is 0.18 if a student is taking a geometry class what is the probability that the student is also taking a chemistry class
Answers
Answer:
0.24
Step-by-step explanation:
Answer: 0.24
Step-by-step explanation:
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Answers
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
1,3,6,10,15,21,28 as a function
Answers
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
Tasha used the pattern in the table to find the value of 4 Superscript negative 4.
Powers of 4
Value
4 squared
16
4 Superscript 1
4
4 Superscript 0
1
4 Superscript negative 1
One-fourth
4 Superscript negative 2
StartFraction 1 Over 16 EndFraction
She used these steps.
Step 1 Find a pattern in the table.
The pattern is to divide the previous value by 4 when the exponent decreases by 1.
Step 2 Find the value of 4 Superscript negative 3.
4 Superscript negative 3 = StartFraction 1 Over 16 EndFraction divided by 4 = StartFraction 1 Over 16 EndFraction times one-fourth = StartFraction 1 Over 64 EndFraction
Step 3 Find the value of 4 Superscript negative 4.
4 Superscript negative 4 = StartFraction 1 Over 64 EndFraction divided by 4 = StartFraction 1 Over 64 EndFraction times one-fourth = StartFraction 1 Over 256 EndFraction
Step 4 Rewrite the value for 4 Superscript negative 4.
StartFraction 1 Over 256 EndFraction = negative StartFraction 1 Over 4 Superscript negative 4 EndFraction
Answers
The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.
In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.
To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.
Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.
Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.
Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction
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what is 32,020.20 rounded to the nearest tenths
Answers
Answer:
32,020
Explanatiojn:
Cassandra earns $12.98 an hour working at Key Food. How much money will she
earn this month, if she works 36.7 hours? Round the amount of time to the
nearest hundredth. *
Answers
Answer:
12.98x36.7=476.366
U divided by 7 is equal to -49
Answers
The value of u is -343
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
343
Step-by-step explanation:
Solve for x
3(x−3)=7x+7
Answers
Answer:
\(3\left(x-3\right)=7x+7\)
\(3x-9=7x+7\)
\(3x-9+9=7x+7+9\)
\(3x=7x+16\)
\(3x-7x=7x+16-7x\)
\(-4x=16\)
\(\frac{-4x}{-4}=\frac{16}{-4}\)
\(x=-4\)
Answer:
hi
Step-by-step explanation:
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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Find the quadratic function f(x)=ax^2 +bx+c for which f(1)=-5, f(-2)=34, and f(2)=6.
Answers
The quadratic function is f(x) = 8x^2 -7x -6
What is quadratic function?Quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The quadratic function can be solve using simultaneous equation method
The quadratic function f(x)=ax^2 + bx+c give 3 simultaneous equations
Substitute the f(1)=-5, f(-2)=34, and f(2)=6
- 5 = f(1) = a(1)^2 + b(1) + c
-5 = f (1) =a + b + c ---------- Equation 1
34 = f(-2) = a(-2)^2 + b(-2)+ c
34 = f(-2) = 4a - 2b + c ---------Equation 2
6 = f(2) = a( 2)^2 + b(2) + c
6= f(2) = 4a + 2b + c -------------Equation 3
Subtracting equation (2) from equation (3)
= f( 2) - f(-2) = 6- 34 = -28
= (4a + 2b + c ) - (4a - 2b +c)
Evaluate the equation
4a -4a+ 2b +2b +c -c
4b =-28
Divide both sides by 4
4b/4 = -28/4
b= -7
Then,
Add equation (1) and equation (2) and equation (3)
f(-2) + f (2) - 5 f(1) = 34 + 6 - 10 = 38
38 = ( 4a - 2b + c) + (4a + 2b + c) - 5 (a + b + c)
38 = 4a - 2b +c +4a +2b + c -5a -2b -2c
38 = 4a + 4a -5a -2b +2b -2b +c +c -2c
38 = 3a - 2b -----------equation (4)
Substitute 'b' into equation (4) to fine ' a'
38 = 3a - 2(-7)
38 = 3a +14
subtract 14 from both sides
3a =38-14
3a = 24
Divide both sides by 3
a = 8
Substitute the value of 'a' and 'b' into equation (1) to fine 'c'
-5 = a + b + c
-5 = 8 + ( -7) + c
-5 = 8 -7 + c
-5 -1 = c
c = -6
substitute the value of a, b, c into the the quadradic function f(x)=ax^2 +bx+c
f(x) = 8x^2 -7x -6
Therefore, the quadratic function is f(x) = 8x^2 -7x -6
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solve for the valuve of 3⁴ - 5 x 3
Answers
Answer:
66
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3⁴ - 5 × 3
Step 2: Evaluate
Evaluate exponents: 81 - 5 × 3Multiply: 81 - 15Subtract: 66james determined that these two expressions were equivalent expressions using the values of x=4 and x=6 which statements are true? Check all that apply.
Answers
Answer: I got 1, 4, and 7
brainlist plz:)
Step-by-step explanation:
29 23/200 as a decimal
Answers
To transform 29 23/200 as a decimal, you have to divide 23 by 200
Then, 23/200 = 0.115 and 29 23/200 = 29.115
What is 87B -179+957÷87
Answers
Answer:
8,677
Step-by-step explanation:
because the chemical in 87b is the same as 17yu so it would be 8,677.
For the stem and leaf plot below find the range of the Data set
Answers
For the stem and leaf plot shown;
\(\begin{gathered} \text{The smallest value is } \\ 1|0=10 \\ \text{The largest value is } \\ 4|4=44 \\ \text{The range of a data set is given as;} \\ Largest\text{ value-smallest value} \\ \text{Range}=44-10 \\ Range=34 \end{gathered}\)ANSWER:
The correct answer is the second option;
RANGE
Find the value of 35÷c when c= 7.
Answers
Answer:
5
Step-by-step explanation:
when c = 7,
substitute 7, into 35÷c
35 ÷ 7 = 5
Which equation is correct? (6 points)
cot x° = opposite ÷ adjacent
sec x° = opposite ÷ adjacent
sec x° = adjacent ÷ opposite
cot x° = adjacent ÷ opposite
Answers
Answer:
option d or last one
GOOD LUCK FOR THE FUTURE! :)
Answer:
The answer is cotx=adjacent/opposite
Step-by-step explanation:
I took the test and this is correct!!
plz help me plz and thank you god bless
Answers
Answer:
What is the question? It is only showing the pictures.
Step-by-step explanation:
15 . x = 64
16. x = 24
17. x = 12
18. x =. 25
plz mark my answer as brainlist plzzzz.
Hope this will be helpful to you .
solve for X
9 = X /72 and explain how you git the answer
Answers
Answer:
648 is the answer
Step-by-step explanation:
9÷1=x÷72
x=9×72( cross multply)
x=648
Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0
Answers
The equation of a graph is a mathematical statement true only for points of that graph. The equation of specified circle is: x² + y² −41 = 0
What is the equation of a circle with radius r units, centered at (x, y)?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as: (x-h)²+(y-k)² = r²
For given case, we have h = 0, and k = 0,
We know that,
The shortest distance (straight line segment's length connecting both given points) between points (p, q) and (x, y) is:
D = √(x-p)² + (y-q)² units.
Also,
Radius = distance between O and B as length of radius, which is
r = √[(4-0)² + (5-0)²] = √[16+25] = √41 units.
Thus, we have the equation as:
(x-h)² + (y-k)² = r²
x²+ y² = (√41)²
x² + y² = 41
x² + y² - 41 = 0
Hence, The equation of specified circle is: Option b) x² + y² - 41 = 0
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Divide 30 into five parts such that first nad last part are in the ratio 2:3
Answers
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
Thank you if you help!
Answers
Answer: n= 2(17)
Step-by-step explanation: