Please help...redoing past papers so I need to cross-check with someone to see if they are correct
Answers
Answer:
4 < k < 12
Step-by-step explanation:
The given function is y = 2·x² + k·x + 2·k - 6
Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots
∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0
k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0
(k - 12)·(k - 4) < 0
∴ k < 12 or k > 4 given that by substitution, we have;
When k = 3 < 4
k² - 16·k + 48 = 3² - 16×3 + 48 = 9 > 0
Also the product of two negative numbers is larger than 0
Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12
Related Questions
Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches [infinity]. C. They have the same y-intercept and the same end behavior as x approaches [infinity]. D. They have the same x-intercept and the same y-intercept.
Answers
Answer:
A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.
Step-by-step explanation:
The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.
a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]
Calculating the percentage:
[tex]\to 0.09\times 100=9\%[/tex]
it is given 5 and h + 1 are the roots of the quadratic equation x＾2 + (k - 1)x-5 = 0, where h and k are constants. Find the values of h and k.
Answers
Answer:
The values of h = -2 and 4
The value of k = -3
Step-by-step explanation:
Putting x=5 in the given equation,
x²+(k-1)x-5=0
or, 5²+(k-1)*5-5=0
or, 25+5k-5-5=0
or, 15+5k=0
or, 5k=-15
or, k=-3
putting the value of k and the other root (h+1) in the given equation,
(h+1)²+(-3-1)(h+1)-5=0
if you solve this, you'll get h = -2 and h = 4.
Answered by GAUTHMATH
Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem use to determine how many miles he has left to run after running for d days?
x a.
125 – 7d
x b.
7d + 125
x c. fraction numerator 125 over denominator 7 d end fraction
x d.
7d
Answers
Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
Given the following data;
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining
[tex] 125 - 7d [/tex]
I have been stuck on this all day, please explain how to do this
Answers
Answer:$3,700
Step-by-step explanation:
Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.
Gross Sales = $3,700
Gross sales are the total amount of sales a company earned throughout a specific period that is 3700 dollars.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Gross sales are the total amount of sales a company earned throughout a specific period, without taking into consideration any costs involved with running a business.
Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales.
For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft, or sales tax.
Gross Sales = $3,700
Learn more about sales;
https://brainly.com/question/15375944
#SPJ2
pls solve quickly !!
Answers
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
Which situation best represents a proportional relationship?
Answers
Answer:
Option (3)
Step-by-step explanation:
Two variables 'x' and 'y' show the proportional relationship if,
y ∝ x
y = kx
Here, k = Proportionality constant
Option (1)
If Sandra sold 2 bracelets for $3 and 3 bracelets for $6.
For y = 3 and x = 2,
3 = 2k
k = 1.5
For y = 6 and x = 3
6 = 3k
k = 2
Here, proportionality constant is different in both the cases.
Therefore, Option A doesn't show the proportional relationship.
Option (2)
Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.
For y = 20 and x = 4,
20 = 4k
k = 5
For y = 24 and x = 6,
24 = 6k
k = 4
Here, proportionality constant is different in both the cases.
Therefore, there is no proportional relationship.
Option (3)
Lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.
For y = 27 and x = 9
27 = 9k
k = 3
For y = 81 and x = 27,
81 = 27k
k = 3
Here, proportionality constant is k = 3 for both the cases.
Therefore. Option (3) is the answer.
Option (4)
Fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes.
For y = 8 and x= 2.
8 = 2k
k = 4
For y = 16 and x = 8,
16 = 8k
k = 2
Here, proportionality constant is different in both the cases.
Therefore, Option (4) is not the answer.
Continue the number pattern for the next three terms 1,8,27.....,........,..........
Answers
Answer:
64, 125, 216
Step-by-step explanation:
1, 8, and 27 are perfect cubes, i.e., each is the cube of an integer, and they're perfect cubes of consecutive positive integers:
1 = 1³ = 1×1×1
8 = 2³
27 = 3³
Therefore, the next three-term numbers of the given sequence are:
64 = 4³
125 = 5³ and
216 = 6³
Therefore, the final sequence will look like this:
1, 8, 27, 64, 125, 216
solve the radical. x+4=sqrt x+10 what is the extraneous solution to the radical equation
Answers
Answer:
-6 is an extraneous solution.
Step-by-step explanation:
We can start by solving this problem.
First, to remove the square root, we can square both sides.
[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]
Next, we can subtract both sides by (x+10)
[tex]x^2 + 7x + 6 = 0\\[/tex]
Then, we can factor out the equation.
[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]
Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,
-1 + 4 = √(-1 + 10)
3 = 3
-6 + 4 = √(-6+10)
-2 ≠ 2
Therefore, -6 is an extraneous solution.
if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined
Answers
Answer:
27 is the correct answer
Answer:
27
Step-by-step explanation:
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.2 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 23 samples is 6.4 ppm with a standard deviation of 0.7. Assume the population is normally distributed. A level of significance of 0.02 will be used. State the null and alternative hypotheses.
Answers
Answer:
H0 : μ = 6.2
H1 : μ ≠ 6.2
Step-by-step explanation:
Population mean, μ = 6.2 ppm
The hypothesis :
Null, H0 : = The mean level of Ozone is normally 6.2 ppm ;
The alternative hypothesis is the researcher's claim that the current ozone level is not normal, that is it may be higher or lower than the normal value in ppm
Hence, the hypothesis could be written as :
H0 : μ = 6.2
H1 : μ ≠ 6.2
Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the information.
Answers
x = 61
please please help me I have a test I need to take! Answer the following questions about the centroid of this triangle!!!!
Answers
Answer: I am sorta answering this on my alt, just move along
Step-by-step explanation:
The whole lenght is the short length 9 and the long length 18 added.
The problem has been started for you.
What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87
Answers
Answer:
the third one
Step-by-step explanation: 6 22 22 24
the quotient is 86.6666666 the repeating 6 is sometimes written with a bar above the .6 like
86.6 except the bar is on top of the second 6
Congruent angle pairs : find value of x and the value of y
Answers
If a +b+c=9 and a square +b square +square =1 then ab+bc+ca
Answers
Answer:
ab + bc + ca = 40
Step-by-step explanation:
Using the expansion identity
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is
9² = 1 + 2(ab + bc + ca)
81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides
80 = 2(ab + bc + ca) ← divide both sides by 2
40 = ab + bc + ca
Consider the quadratic function that has x-intercepts of–1 and –7 and passes through the point (-2,-20). What is the
value of a in the factored form of this function?
1, 2,3,4?
Answers
Remark: How did this escape deletion?
Step One
Set up the factored equation with a constant to solve the constant effecting all parts of the quadratic.
The roots are -7 and -1
The factors are (x + 7)(x + 1)
Step two
Write the equation
y = a*(x +7)(x + 1)
Step three
Solve for a. Use (-2,-20)
y = -20
x = -2
-20 = a(-2 + 7)(-2 + 1)
-20 = a (5)(-1)
-20 = -5a Divide by -5
a = -20/-5
a = 4
Step 4.
Write the equation with a
y = 4(x + 7)(x + 1)
a = 4
A CD player holds 5 CDs, and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favourite song is played first.
(Give your answer as a fraction)
Answers
Answer:
1/(5*12) = 1/60 = .016 = 1.6%
Step-by-step explanation:
Which is not a benefit of direct deposit?
A.
You can plan when you are paying bills.
B.
You can avoid having a hold placed on when funds are available.
C.
The money is available as soon as your employer makes the transfer.
D.
You do not need to drive to the bank to make a deposit.
Answers
Answer:
Its B. You can avoid having a hold placed on when your funds are available
Step-by-step explanation:
I just got it right rn.
A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it
Answers
Answer:
7.5 grams
Step-by-step explanation:
The percent of gum Arabic is 100 -30 -40 = 30 %
30% of 25 g =
.30 * 25
7.5 grams
Answer:
[tex]7.5gm[/tex]
Step-by-step explanation:
Solution:
[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]
3. A student gets a grant of $10 000 a year. Assuming her grant is increased by 7% each year, what will her grant be in four years time?
Answers
Answer:
that's all~~~~~~~~~~~~~~~~~~
What are the first 10 digits after the decimal point when the fraction $\frac17$ is written in base 16?
Answers
Answer:
The amswer is "2,4,9....."
Step-by-step explanation:
[tex]x=\frac{1}{7}\\\\x_d=0.\overline{142857}\\\\x_h=0.\overline{249}\\\\[/tex]
by leave you to work out the other 7 digits:
[tex]\to \frac{1}{7}\approx \frac{a}{16}\\\\a= \text{first hex digit}\\\\a=floor(\frac{16}{7})=2\\\\[/tex]
[tex]\to \frac{1}{7}- \frac{a}{16}\approx \frac{b}{16^2}\\\\b= \text{second hex digit}\\\\b=floor(\frac{16^2}{7} -16a)=4\\\\[/tex]
[tex]\to \frac{1}{7}- \frac{a}{16}-\frac{b}{16^2} \approx \frac{c}{16^3}\\\\c= \text{third hex digit}\\\\c=floor(\frac{16^3}{7} -16^2a-16b)=9\\\\[/tex]
each side of a polygon is 2.5 cm in length. the perimeter of the polygon is 12.5 cm.how many sides does a polygon have ?
Answers
Answer:
it's 5 sides
Step-by-step explanation:
I hope this helps
Answer:
5 sides
Step-by-step explanation:
12.5÷2.5=5
therefore the answer is 5
A writer was paid $4,000 for a 2,000-word article.
How much is that per word?
Answers
Answer:
$2 per word
Step-by-step explanation:
Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A) terms
B) products
C) variables
D) coefficients
Answers
Answer:
Co-efficients
Step-by-step explanation:
there is a number and variable.
answer in detail & explain well plzz !!!
Answers
Step-by-step explanation:
my answer is in the image above
Now that you know Theresa's height, find Paul's and Steve's height. Plug Theresa's height into the expressions for Paul's height and Steve's height. How tall are they each in inches? Are they both the same height?
Answers
Answer:
Theresa is 58.82 in tall
Step-by-step explanation:
Let
x----------> Paul and Steve heights
y----------> Theresa height
we know that
1 1/2-------> 3/2---> 1.5
1 1/3-------> 4/3----> 1.33
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height
x=1.5y-16-------> equation 1
Steve says he's 6 inches shorter than 1 1/3 times Theresa's height
x=1.33y-6------> equation 2
equals 1 and 2
1.5y-16=1.33y-6
1.5y-1.33y=-6+16
0.17y=10----------> y=58.82 in
x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in
the answer is
Theresa is 58.82 in tall
Im super confused please help!!
Answers
And yes, very confusing problem. The whole amount is all of the shaded area under the number line, which is 2 1/3. So that narrows our answer choices down to A and B.
We know it’s being divided by 2/3 because of the bracketed sections below the shaded area. This is confirmed by the fact that in A and B, 2 1/3 is divided by 2/3.
So the question is then how many groups of 2/3 do we have. We have 3 full groups, or brackets of 2/3. The fourth bracket only has one of the two sections filled, which means that is a half measure of a 2/3. Putting this in words is really hard, LOL.
But we have 3 full brackets each measuring 2/3, and 1/2 of a bracket measuring 2/3, so the answer is 3 1/2.
I feel like this took me a good bit of time to get my brain around this morning. Have a good day.
please I need this question fast please
Answers
We have a linear function y=kx+b and we know that [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex] [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answers
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
