Answer:
(-0.667,0), & (1.333,0)
Step-by-step explanation:
The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).
Hopefully this helps & gets brainliest.
PLEASE! NEED HELP!!!
Answer:
x² + 2x + 2 = 0Step-by-step explanation:
Formula for finding a quadratic equation when its roots are given is
x² - ( sum of roots)x + product of roots=0
The roots are
- 1 + i
- 1 - i
Sum of roots is = - 1 + i - 1 - i = -2
Product of roots is = ( -1 + i)(- 1 - i)
= 1 + 1 = 2
So the quadratic equation is
x² - (-2)x + 2 = 0
x² + 2x + 2 = 0Hope this helps you
Answer:
x^2+2x+2
Step-by-step explanation:
to find b in the equation :
b^2<4ac when having two complex roots
the required equation is x2 - Sx + P = 0
the sum of the roots :-1-i+-1-i=-2
the product=2
so the equation: x^2-(-2)x+2
x^2+2x+2
Cathy received a gift of $2,000 to buy a new car when she graduates in a year. She decides to use this money to purchase stock in a new, alternative energy company. Is this a good investment decisions?
A.No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.
B.Yes, because alternative energy companies guarantee investors a minimum yearly profit.
C.Yes, because the FDIC insures this type of investment.
D.No, she should have invested in technology instead.
Answer:
a. No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.
Step-by-step explanation:
Stocks are a riskier investment in comparison to bonds, and may pay higher interest rates, but still require the investment to "sit" for a long period of time. Like a 3 month (APY of about .50%), 6 month (APY of about .30%), 8 month (APY of about .10%), etc. bond, stocks will not grow considerably in a short amount of time.
What is the approximate diameter of a sphere with a volume of 34 cm
Answer:
The diameter is 4cmStep-by-step explanation:
Volume of a sphere is
[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]
Where r is the radius
diameter = radius × 2
To find the diameter we must first find the radius
Volume = 34cm³
That's
[tex]34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm[/tex]
Diameter = 2 × 2cm
= 4cmHope this helps you
Answer:
The answer is 4
Step-by-step explanation:
the picture is the question
Answer:
-4 points
Step-by-step explanation:
Since each incorrect answer is worth the same amount of negative points, use the equation below.
3x = -12 DIvide both sides by 3
x = -4 points
A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?
Answer:
The growth rate is 7.2%
Step-by-step explanation:
First thing we need to do here is to set up an exponential equation;
This can be written as follows;
F = I(1 + r)^t
where F is the future value = 20,000
I is the initial value = 10,000
r is the rate in percent which we want to calculate
t is time in years = 10 years
Substituting the values in the question into the exponential equation, we have;
20,000 = 10,000(1 + r)^10
divide both side by 10,000
2 = (1+r)^10
Find the 10th root of both sides
1+ r = 2^(1/10)
1 + r = 1.07177346254
r = 1.07177346254-1 = 0.07177346253
Let’s approximate r as 0.072
Now this to percentage?
That would be 72/1000 * 100% = 7.2%
Calculate the volume of this cylinder, giving your answer to one decimal place. I will give brainliest
Answer:
603.2
Step-by-step explanation:
V=πr^2h
V=π(4)^2(12)
V=π(4)^2(12)
V=603.1857895
Hello! I'm stuck on Pythagorean theorem in geometry. There are some numbers that suppose to have a line on top but I don't know how to put it on top of the number, I just put this `. So, here's the problem: Which side lengths form a right triangle? A. 2,2, v```4``
Choice A: [tex]2,2, \sqrt{4}[/tex]
Choice B: 9, 40, 41
Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]
Answer:
(B)9, 40, 41
Step-by-step explanation:
To check if the sides form a right triangle, you check to see if they satisfy the Pythagorean theorem.
[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Note that the longest side length is always the hypotenuse.
Choice A: [tex]2,2, \sqrt{4}[/tex]
Now, [tex]\sqrt{4}=2[/tex]
Therefore:
[tex]2^2\neq 2^2+2^2\\4 \neq 8[/tex]
These side lengths form an equilateral triangle. They do not satisfy the theorem.
Choice B: 9, 40, 41
The longest side length is 41.
[tex]41^2=1681[/tex]
[tex]40^2+9^2=1681[/tex]
Therefore:
[tex]41^2=40^2+9^2[/tex]
These side lengths form a right triangle.
Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]
[tex]\sqrt{5} \approx 2.24 \\ \sqrt{125}\approx11.18[/tex]
Therefore, the longest side length is [tex]\sqrt{125}[/tex]
[tex](\sqrt{125})^2=125\\(\sqrt{5})^2+10^2=5+100=105\\\\(\sqrt{125})^2 \neq (\sqrt{5})^2+10^2[/tex]
These side lengths do not form a right triangle.
Trina uses 1/2 of the cup of sugar and 3/4 cup of flour of recipe. How many cups of sugar would she need if she uses 3 cups of flour?
Answer:
you need 2 cups of sugar
Step-by-step explanation:
1/2 cups of sugar = 3/4 cup of flour
x = 3 cups of flour
1/2*3 = 3/4x
3/2 = 3/4x
x =3/2 ÷ 3/4
x =2
g Random digits are integers selected from among {0,1,2,3,4,5,6,7,8,9} one at a time in such a way that at each stage in the selection process the integer chosen is just as likely to be one digit as any other. In simulation experiments it is often necessary to generate a series of random digits by using a random number generator. In generating such a serie, let X denote the number of trials needed to obtain the first zero. a) What is the functional form of the pmf? b) Find the P(X=3). c) Find P(X<=5). d) What is the mean of X? e) What is the Var(X)?
Answer:
a) P(X=x) = p× (1-p)^(x-1)
b) P(X=3) = 0.081
c) P(X≤5) = 0.40951
d) Mean of X= 10
e) Var(X)= 90
Step-by-step explanation:
This is a question on geometric distribution.
In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.
This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)
For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}
We stop the trials when we get a success.
From the question, there are 10 numbers
The probability of success = p = 1/10
For the solutions of the question from (a-e), See attachment below.
f(x) = P(X= x)
Where P(X= x) is the probability of X taking on a value x
what is the y intercept of the line x -72 -54 -35 y 25 13 1
Answer:
can you retype the equation
I think it is not correctly typed
Match the solution set given in inequality notation with the solution set given in interval notation.
Answer:
x≤7.8 ⇒(-∞;7.8]
x<7.8 ⇒ (-∞;7.8)
x>7.8 ⇒ (7.8; ∞)
x≥7.8 ⇒ [7.8; ∞)
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
• x≤7.8
The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets
(-∞;7.8]
• x<7.8
All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)
(-∞;7.8)
• x>7.8
All the numbers higher than 7.8, open interval (parenthesis)
(7.8; ∞)
• x≥7.8
All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)
[7.8; ∞)
Answer:
Step-by-step explanation:
Jennifer has 75 pounds of strawberry ice cream. Jennifer is going to serve the ice cream at her birthday party. If every serving is $\frac{2}{3}$ of a pound of ice cream, how many servings of strawberry ice cream can Jennifer make? Express your answer as a fraction.
Answer:
²²⁵/₂ servings or 112 ¹/₂ servings
Step-by-step explanation:
assuming that Jennifer will serve ²/₃ of a pound of ice cream per serving, then the maximum amount of servings that she can make = total pounds of ice cream / individual serving of ice cream
= 75 pounds / (²/₃ pound)
= (75 pounds x 3) / 2 pounds
= ²²⁵/₂ servings or 112 ¹/₂ servings
insert four irrational numbers between 3 root 2 and 2 root 3
Answer:
3√2 > √17 > √15 > √14 > √13 > 2√3Step-by-step explanation:
[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]
{√16 = 4 is rational}
Can someone help me with this question please?
Answer:
If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.
Therefore, the ratio would be 345:575.
Hope this is right and helps :)
What is the length of arc FE?
Answer:
4.42
Step-by-step explanation:
Angles A and C are identical because the two circles are similar.
The arc length formula is s = rФ, where r is the radius and Ф is the central angle.
If we know s and r, then the central angle Ф is s/r, or, in this case,
Ф = 8.84/5.
Now let's find the length of the arc EF: s = rФ becomes:
s = (2.5)(8.84/5) = 4.42
I need help on this
Answer:
y = x+5
Step-by-step explanation:
The y intercept is 5 ( where it crosses the y axis)
We need two points to find the slope
(0,5) and (1,6)
The slope is
m = (y2-y1)/(x2-x1)
= (6-5)/(1-0)
= 1/1
=1
The slope intercept is
y = mx+b
y = 1x +5
y = x+5
Answer:
y = x + 5
Step-by-step explanation:
Slope intecept form: y = mx + b
y = x + 5
It is just x because the slope is 1/1 or rise over run. The intercept is 5 because the line crosses the y axis at the point 5.
what is: 1/1+a+b^-1 + 1/1+b+c^-1 + 1/1+c+a^-1 please write the steps and explain
Step-by-step explanation:
The expression:
[tex]\frac{1}{1+a} + b^{-1} + \frac{1}{1+b} + c^{-1} + \frac{1}{1+c} + a^{-1}[/tex]
It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.
The second case is more plausible, given there are no values given for a, b, and c.
The expression can be rewritten as:
[tex]a^{-1}+b^{-1}+c^{-1} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]
When a number has an index of -1, it is the same as taking the reciprocal of the number.
That is;
[tex]a^{-1} = \frac{1}{a}[/tex]
Therefore, the whole expression gives:
[tex]\frac{1}{a} + \frac{1}{b} + \frac{1}{c} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]
Taking the common denominator in the first three expressions, we have
[tex]\frac{a+b+c}{abc} + \frac{1}{1+a} +\frac{1}{1+b} + \frac{1}{1+c} \\[/tex]
It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.
The expression:
It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.
The second case is more plausible, given there are no values given for a, b, and c.
The expression can be rewritten as:
When a number has an index of -1, it is the same as taking the reciprocal of the number.
That is;
Therefore, the whole expression gives:
Taking the common denominator in the first three expressions, we have
It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.
How are periodic phenomena relatively easy to model using trig functions? What makes them difficult to model this way?
Answer:
Periodic phenomena means that the phenomena has a (almost) constant time period or space period.
As you know, the trigonometric functions cos(x) and sin(x) also have a constant period of 2*pi, so these functions are really useful to model periodic phenomena.
Now, the problem may be that the trigonometric functions may be useful to describe the "periodic" part, but not to describe the actual phenomena.
An example of this can be a square alternating current.
While it has a constant period like a trigonometric function, the trigonometric functions can not really model the "square" part of this current (you know that the sinusoidal functions actually are curves and continuous)
Here comes something called the Fourier Series, that are series of the form:
F(x) = a₀ + ∑(aₙ*cos(nx) + bₙ*sin(nx))
That can be used to model almost any periodic phenomena, but the actual Fourier Series may be hard to construct.
The diagonal of a rectangular room is 52 ft long. One wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.
Answer:
The dimensions of the rectangular room is 48 ft by 20 ft
Step-by-step explanation:
Drawing a Diagonal line in a rectangle forms two right angle triangles
The diagonal line will represent the hypotenuse
In a right angle triangle:
Hypotenuse^2= adjacent^2+opposite^3
One wall measures 28 ft longer than the adjacent wall.
Let the adjacent=x ft
Opposite=28+x ft
Hypotenuse=52 ft
Hypotenuse^2= adjacent^2+opposite^3
52^2 = x^2 + (28+x)^2
2704 =x^2 + 784 + 56x + x^2
2704=2x^2+784+56x
2x^2+56x+784-2704=0
2x^2+56x-1920=0
Solve the quadratic equation using the quadratic formula
x= -b +or- √b^2-4ac / 2a
a=2
b=56
c=-1920
x= -b +or- √b^2-4ac / 2a
= -56 +or- √56^2 - (4)(2)(-1920) / (2)(2)
= -56 +or- √3136 - (-15,360) / 4
= -56 +or- √3136+15,360) / 4
= -56 +or - √ 18496/ 4
= -56 +or- 136 / 4
x= -56 + 136 / 4
=- 56/4 + 136/4
= -14+34
=20
OR
x= -56 - 136/4
= -56/4 - 136/4
= -14 - 34
= -48
The value of x can't be negative, so will use the positive value of x which is 20
Recall,
Adjacent=x
=20 ft
Opposite=28+x ft
=28+20
=48 ft
The dimensions of the rectangular room is 48 ft by 20 ft
if f(x) = - 5^x - 4 and g (x) = - 3 x - 2 find (f - g) (x)
O A. ( f - g )(x) = 5^x - 3x + 2
O B. ( f - g )(x) = -5^x - 3x - 6
O C. ( f - g )(x) = - 2x -2
O D. ( f - g )(x) = -5^x + 3x - 2
Answer:
answer D
Step-by-step explanation:
hello,
[tex]f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2[/tex]
hope this helps
The value of function (f - g) (x) is,
⇒ 5ˣ + 3x - 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Functions are,
⇒ f (x) = - 5ˣ - 4
⇒ g (x) = - 3x - 2
Hence, We get;
The value of function (f - g) (x) is,
⇒ (f - g) (x)
⇒ f (x) - g(x)
⇒ (5ˣ - 4) - (- 3x - 2)
⇒ 5ˣ - 4 + 3x + 2
⇒ 5ˣ + 3x - 2
Thus, The value of function (f - g) (x) is,
⇒ 5ˣ + 3x - 2
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
A horizontal translation is used to move quadrilateral onto quadrilateral Z ′. Use the drop-down menus to describe the horizontal translation used.
Answer:
10 to the left I believe
Step-by-step explanation:
Which Relation is a Function Please Answer ASAP
Answer:
A
Step-by-step explanation:
Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot
Hope that helps
which of the following box plots best represents the set of data below?
Answer:
not sure
Step-by-step explanation:
Answer:
answer B
Step-by-step explanation:
to set up whisker plots you have to find the 1st 2nd and 3rd quartile.
hopes this helps
❗️5 points❗️
4. State the slope of the line.
A. 1
B. 0
C. undefined
D. -4
Answer:
C. undefined.
Step-by-step explanation:
Find the slope of the line, using the following equation:
m = (y₂ - y₁)/(x₂ - x₁)
Find two points that are located on the line.
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (-4 , 1)
Plug in the corresponding numbers into the corresponding variables.
m = (1 - 0)/(-4 - (-4))
Note that when you have two negative signs directly next to each other, it becomes an addition:
m = (1)/(-4 + 4) = 1/0
You cannot have a slope of rise 1, run 0, so your answer is undefined.
C. undefined.
~
Okay HELP i have to questions in one problem.
Question number 1 : Rihannon has a rectangular bedspread that measures 234 inches by 245 inches. She wants to sew a fringe around the edge of the bedspread. What LENGTH of fringe does rihannon need to purchase???
Question number 2 : Rihannon gets a new bedspread that is 33 inches longer. What LENGTH of fringe does Rihannon need for the longer bedspread??? PLEASEEE HELP
Answer:
1) To calculate length of fringe, we need to find the perimeter
The question does not clearly say how much is length and width
Assuming length = 245 and width = 234 inches
P = 2(length + width)
P = 2 ( 245 + 234)
P = 2 (479)
P = 958 inches
2) To calculate length of fringe, when length is increased by 33 inches
P = 2 ( l + w)
P = 2 (278 + 234)
P = 2 x 512
P = 1024 inches
What are the total operating expenses? (This is line (c) on the income statement.)
This is a fill in the blank.
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In this question some information is missing that's why we explain "operating expenses".
The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.
For other companies, these expenses are unavoidable and made mandatory. This cost is primarily important because it helps to evaluate the price effectiveness of the company as well as its inventory control. It also shows the costs and requires a consulting company needs to be making to maximize income, which would be a company's main objective.Erica's collection has 3 times as many action figures in it as Ricardo's collection. They have 68 action figures together. How many action figures does Erica have? How many action figures does Ricardo have
Answer:
Erica has 51 action figures and Ricardo has 17 action figures.
Step-by-step explanation:
First, label your variables.
x=the number of action figures Erica has
y=the number of action figures Ricardo has
You know that they have 68 total action figures so x+y=68.
Erica has 3 times as many as Ricardo so 3y=x. Then solve for x and y.
x+y=68 3y=x (Substitue 3y for x)
3y+y=68 (Then combine like terms)
4y=68 (Divide each side by 4)
y= 17
Now that you know that Ricardo has 17 action figures, you can plug 17 in for y in either equation to find x.
3(17)=x
x=51
To check your answers, you can plug them back into the original equations.
Answer:
Erica:51 action figures; Ricardo: 17 action figures
Reason:
68/4=17
17*3=51<- this is the amount of action figures that Erica has.
17 <-this is the amount of action figures that Ricardo has.
17 (Ricardo) + 51 (Erica) = 68 (total amount)
Express 5cm as a fraction of 1m. Pls explain and solve well. Thank u. Anyone that answers will be marked as brainliest answer.
Hello!
Answer:[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]
_____________________________________________Explanation:There are 100 centimetres in a metre. So, our denominator will be 100.
The numerator is 5 because that is the number of centimetres.
⇒ [tex]\frac{5}{100}[/tex]
This fraction can be reduced, since 5 goes into the denominator evenly.
5 ÷ 5 = 1
100 ÷ 5 = 20
So, our reduced fraction is [tex]\frac{1}{20}[/tex]
Which set of ordered pairs is not a function?
OA) (4, -2), (-2, 2), (2, -2), (4, 2)
OB, (-4, 2), (-2, 2), (2, 2), (4, 2)
OC) (-4, 2), (-2,-2), (2, 2), (4,2)
OD) (-4,-2), (-2,-2), (2, 2), (4,2)
Answer: OA) (4, -2), (-2, 2), (2, -2), (4, 2)
Step-by-step explanation:
If fx=-4x2-3 please evaluate for f(8), listing the steps you take in order with their result. Find the inverse function f-1(x)
Answer:
A. -259
B. inverse function is 1/2 √(-x-3)
Step-by-step explanation:
Here, we want to find f(8)
Simply substitute x = 8 in the equation.
The equation is
f(x) = -4x^2 -3
So f(8) = -4(8)^2-3
f(8) = -256-3
f(8) = -259
Inverse of f(x) = -4x^2 -3
Simply equate this to m
m = -4x^2-3
-4x^2 = m + 3
x^2 = (m + 3)/-4
x^2 = -m/4 -3/4
x = √(-m-3)/4
x = 1/2√(-m-3)
Put back the value of x for m
x = 1/2 √(-x-3)