Answer:
[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]
Step-by-step explanation:
we are given some coordinates
(1,6),(2,19),(3,38),(4,63),(5,94)
we want to figure out the quadratic equation which passes those coordinates
notice that, the coordinates in quadratic sequence
we know that,
A sequence is quadratic if and only if it has second difference
recall that,
[tex]\displaystyle 2a=2^{ \text{nd }} \text{diff}[/tex][tex] \displaystyle 3a + b = U_{2}-U_1[/tex][tex] \displaystyle a + b + c = U_1[/tex]these formulas are necessary to figure out a,b and c
because we know that
Quadratic equation standard form:
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
therefore to figure out a,b and c these formulas are important
let's figure out a:
we got that 2nd difference is 6 thus
[tex] \displaystyle 2a = 6[/tex]
divide both sides by 2
[tex] \displaystyle \frac{2a}{2} =\frac{ 6}{2}[/tex]
[tex] \displaystyle a = 3[/tex]
let's figure out b:
by using the second formula we can figure out b
our [tex]U_1[/tex] and [tex]U_2[/tex] are 6 and 19 respectively
substitute:
[tex] 3 \cdot 3 + b = 19 - 6[/tex]
simplify multiplication:
[tex]9+ b = 19 - 6[/tex]
simplify substraction:
[tex]9+ b = 13[/tex]
cancel 9 from both sides:
[tex]b = 4[/tex]
let's figure out c:
our [tex]U_1[/tex] is 6
substitute:
[tex] \displaystyle 3 + 4 + c = 6[/tex]
simplify addition:
[tex] \displaystyle 7 + c = 6[/tex]
cancel 7 from both sides:
[tex] \displaystyle c = - 1[/tex]
altogether substitute a,b and c to quadratic equation:
[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]
and we are done!
What is the answer? Please help!
Answer:
It is the second answer!
Step-by-step explanation:
which simplified fraction is equal to 0.17 repeating?
Answer:
B (8/48)
Step-by-step explanation:
Both B and D are equal to 0.53 repeating, but they asked for the SIMPLIFIED FRACTION.
GIVE BRAINLiEST PLS CUZ THTS THE OnLY ONE CORRECT AND I NEED THE POINTS
Which describes the relationship between ZNOM and ZJOK in the diagram?
Answer:
the anwser is: B: Supplementary Angles
Step-by-step explanation:
so first you look at NOM and JOK and then you look at the anwsers. B is the most relevant because a supplementary angle means that the angles are 180 degrees.and they are... so yeah its b
eir answers
Find the product. Draw a model.
1.
eeded)
What number represents a temperature of 7 degrees below zero? Enter the answer in the box.
Answer: -7 , anything bellow 0 is just - then the number.
Answer:
-7 °C
OR
266 K
...................
If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?
United Steel provides pensions to its employees. An individual pension is 2.3% of the
employee's average salary for the last five years of employment times the number of
years the employee worked for the company. Juan DeMarco worked for 30 years for
United Steel.
The annual salaries he received for his last five years were: $ 93,000, $ 94,000, $ 98,000,
$ 94,000, and $102,000.
What will his annual pension be?
Answer:
$66,378.
Step-by-step explanation:
Average salary for the last 5 years = (93000+94000+98000+94000+102000)
/ 5
= $96,200
So his pension = 96,000 * 0.023 * 30
= $66,378.
please help i am not sure what to do pls help
Answer:
The answer is #3
Step-by-step explanation:
The down payment is 5 so the chart will start at 5. It will then increase by 2.50 each time.
plz help quick will mark as brainliest
Answer:
4ab^2
Step-by-step explanation:
Answer:
so the greatest common factor would be 4ab^2
Can somebody please help me with this question
Answer:
0.00392
Step-by-step explanation:
3.92*10^-3
10^-3= 0.001
So:
3.92*0.001:
0.00392
Answer:
-3920 .
hope this is correct if is pls mark me brainliest
-1 < x < 4 is an interger write the possible values
Answer:
see explanation
Step-by-step explanation:
The inequality tells us that x ≠ - 1 or ≠ 4
All integer values between these two are valid, that is possible values are
x = 0, 1, 2, 3
Each cube in this figure measures 1 foot on each side.
What is the volume of this figure?
45 ft³
80 ft³
200 ft³
300 ft³
A rectangular prism made up of unit cubes. There are 8 layers, and each layer is 5 units long and 5 units wide.
Suppose an investment of $500 doubles in value every 15 years. How much is the investment worth after 30 years? After 45 years?Write an equation and solve
Answer:
Step-by-step explanation:
well all you have to do is 500 dollars times two, because it times each 15 years right and 30/15=2. So you do $500*2 which is $1000. And you get $1500 in 45 yrs.
So the equations are for each 15 yrs you add 500 dollars to the amount.
PLS HELP ASP HURRY BEST ANSWER GETS BRAINLESST!
Answer:
i cant see your pic
Step-by-step explanation:
Answer: I’m pretty sure this is right
11. = 12. = 13. < 14. > 15. > 16. >
Step-by-step explanation:
Find the value of x if sin80 = Cos(90-x)
Answer: 80
Step-by-step explanation:
Sin x = cos (90-x)
Like sin 30 = cos (90-30) =cos 60
So
90-x=90-80
Then
X=80
Verify your solution by finding the sum of the angles of sin and cos, it will be 90
Answer:
Step-by-step explanation:
Sin Ф = Cos (90 - Ф)
Comparing with this
Sin 80 = Cos (90 - 80) = Cos 10
So, x = 80
8. If you were trying to conduct a survey of political preferences for likely voters in an upcoming election and
decided to dial 1,000 randomly generated land-line phone numbers (not cell), why might this still introduce
bias into the sampling?
Answer:
Answer:
Simple Random Sampling
Explanation:
In this sampling method, individuals are chosen by chance by allocating a number to them. As in this case a random number was generated to pick which voters to call.
Step-by-step explanation:
solving systems oh linear equations by graphing, help please!!
Answer:
try searching it
it helps to know what linear is and how to graph it
ask a teacher if needed
what is the zero of the function below?
f(x)=3x-15
A. -15
B. 0
C. 5
D. 3
Answer:
x = 5 (Answer C)
Step-by-step explanation:
Set f(x) = 3x - 15 = to 0 and solve for x:
3x - 15 = 0
Adding 15 to both sides isolates 3x:
3x = 15
Dividing both sides by 3 yields x = 5 (Answer C)
can someone help me please
Mr. Wallace gave a test to his math classes. He created a histogram that showed the frequency of As, Bs, and Cs. He labeled the x-
axis with the student scores, and the y-axis with the number of students. Which is the correct way to label the intervals on the x-
axis?
A)
70-79, 80-89, 90-99
B)
70-80, 80-90, 90-100
C)
70-79, 80-88, 88-100
D)
70-74, 75-89, 90-94, 95-100
Answer:
D
Step-by-step explanation:
I got it right on Khan Academy
Answer:
d
Step-by-step explanation:
Convert to milliliters: 34 liters
A.
340 milliliters
B.
3.4 milliliters
C.
3,400 milliliters
D.
34,000 milliliters
Answer:
D, 34,000 milliliters
Step-by-step explanation:
There are 1,000 milliliters in a liter. So, if we had 1 liter, we would have 1*1,000=1,000 milliliters.
When you change the 1 liter to 34, we can just substitute 34 for 1. So, the answer is 34*1,000=34,000 milliliters, or D
A circular plate has circumference 28.9 inches. What is the area of this plate? Use 3.14 for pi.
Answer:
66.46
Step-by-step explanation:
Answer:
Step-by-step explanation:
3.14*28.9
90.746
There are four options on the desert menu at a restaurant. Phillip and Paula like all of the choices equally, so they each choose a dessert at random. What is the probability that Phillip will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. Round your answer to nearest thousandth.
Answer:
I think like 1/2 of 0
Step-by-step explanation:
Answer:1/2
Step-by-step explanation:
Kent multiplies both sides of the equation below by an expression. k + StartFraction 12 Over k EndFraction = 8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now? k squared minus 8 k minus 12 = 0 k squared + 8 k + 12 = 0 k squared minus 8 + 12 = 0 k squared minus 8 k + 12 = 0
Answer:
k^2-8k+12=0D
Step-by-step explanation:
Explanation:
1) Given equation:
k+12/k=8
2) Multiplication property of equality:
k(k+12/k)=8k
3) Distributive property:
k^2+12k/k=8k
4) Simplification:
k^2+12=8k
5) Subtraction property of equality:
k^2-8k+12=0
Answer:
k^2-8k+12=0D is correct
Step-by-step explanation:
What is the probability that a blue marble is selected, given that it is large?
Answer:
P(blue given large)=1/2
Step-by-step explanation:
Marble being blue=1/4
Large Marble=2/5
Both blue and large=1/5
2/5x=1/5
x=1/5*5/2
x=1/2
Therefore, 1/2
Use vertex form to write the equation of the parabola.
Answer:
y = - 2(x - 2)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 3) , thus
y = a(x - 2)² - 3
To find a substitute (1, - 5) a point on the curve into the equation
- 5 = a(1 - 2)² - 3
- 5 = a - 3 ⇒ a = - 5 + 3 = - 2
y = - 2(x - 2)² - 3 ← equation in vertex form
Plz answer correctly
Answer:
5. 13841287201 x 2401
6. 64 to the 4th power
7. idk
Step-by-step explanation:
Write down a mixed number between 3 3/11 and 3 2/5
Answer:
3 7/23
Step-by-step explanation:
Hope this helps.
Mixed fractions are a fraction that represents their quotient and remainder. It is a type of fraction in which the whole number part and fractional part is present.
At first, we have to find the common denominator LCD [tex]=11*5=55[/tex];
Now, [tex]\frac{36}{11}=\frac{180}{55}[/tex] and [tex]\frac{17}{5}=\frac{187}{55}[/tex]
So, from above we get;
[tex]\frac{181}{55} , \frac{182}{55},\frac{183}{55}, \frac{184}{55} ,\frac{185}{55} ,\frac{186}{55}[/tex] as mixed fractions between given mixed fractions.
Again, we will multiply both denominator and numerator by 2, and we get;
[tex]\frac{180}{55}=\frac{360}{110}[/tex] and [tex]\frac{187}{55} =\frac{374}{110}[/tex]
So, repeating the same step, we get;
[tex]\frac{361}{110},\frac{362}{110} ,\frac{363}{110} ,\frac{364}{110} ,\frac{365}{110},\frac{366}{110} ,\frac{367}{110} ,\frac{368}{110},\frac{369}{110} ,\frac{370}{110} ,\frac{371}{110} ,\frac{372}{110} ,\frac{373}{110}[/tex] are mixed fractions
between given mixed fractions.
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction
What is improper and mixed fractions?A mixed fraction is one whose value is always greater than 1 and it has a whole number part and a proper fraction. For example, 325 3 2 5 is a mixed number. An improper fraction is one in which the numerator is always greater than or equal to the denominator.
To learn more about mixed fractions, refer to:
https://brainly.com/question/700977
#SPJ2
Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.
f(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 – 12x + 32
k(x) = x2 + 4x – 1
p(x) = 5x2 + 5x + 4
t(x) = x2 – 2x – 15
Step-by-step explanation:
We need to write the function that have two real number zeros by calculating the discriminant i.e. [tex]b^2-4ac[/tex].
We know that,
If D>0 the roots are real and unequal
If D= 0 roots are real and equal
If D< 0 roots are imaginary or not real and unequal
Function (1)
[tex]f(x)=x^2 + 6x + 8\\\\D=6^2-4\times 1\times 8\\\\D=4[/tex]
D>0 the roots are real and unequal
Function (2)
[tex]g(x)=x^2 + 4x + 8\\\\D=4^2-4\times 1\times 8\\\\D=-16[/tex]
D<0 the roots are real and unequal
Function (3)
[tex]h(x)=x^2 -12x+32\\\\D=(-12)^2-4\times 1\times 32\\\\D=16[/tex]
D>0 the roots are real and unequal
Function (4)
[tex]k(x)=x^2 +4x-1\\\\D=(4)^2-4\times 1\times (-1)\\\\D=20[/tex]
D>0 the roots are real and unequal
Function (5)
[tex]p(x)=5x^2 +5x+4\\\\D=(5)^2-4\times 5\times 4\\\\D=-55[/tex]
D<0 the roots are real and unequal
Function (6)
[tex]t(x)=x^2 -2x-15\\\\D=(-2)^2-4\times 1\times (-15)\\\\D=64[/tex]
D>0 the roots are real and unequal
(1),(3),(4) and (6) have two real number zeroes.
Answer:
1,3,4,6
Step-by-step explanation:
EDGE
How do metric measurements differ from customary measurements?
A. Metric measurements are larger than customary measurements.
B. Metric measurements are based on powers of 10; customary measurements are not.
C. Metric measurements are divided into fractions; customary measurements are divided into decimals.
D. Metric measurements are measured in base-6; customary measurements are measured in base-8.
Answer:
B. Metric measurements are based on powers of 10; customary measurements are not.
Step-by-step explanation:
Answer:
B. Metric measurements are based on powers of 10; customary measurements are not