Answer: x = 0, x = -3, x = 2
Step-by-step explanation:
f(x) = x^3 + x^2 - 6x
f(x) = 0
x^3 + x^2 - 6x = 0
x(x^2 + x - 6) = 0
x = 0 or
x^2 + x - 6 = 0
D = b^2 - 4ac = 1 - 4*(-6) = 25
x = (-b - sqrt(D))/(2a) = (-1 - 5)/2 = -3 or
x = (-b + sqrt(D))/(2a) = (-1 + 5)/2 = 2
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?
Answer:
6
Step-by-step explanation:
Brian brought $36.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Brian had $4.00 left over after buying these item.What was the cost of each item?
Write an algebraic expression that describes the following word phrase, using the letter `a` for the unknown number.
nine times a number minus two = _____ a - _____
Answer:
=7*a-2
=7a-2
Step-by-step explanation:
_a-_
ATQ,
7 times means 7*
as per the question,
Nine times (7*) a number (a) minus two (-2)
Hope this helps you!! (ㆁωㆁ)
Choose the best description of the cross section shown in each image.
Answer:
Rectangle
Trapezoid
Square
Triangle.
Step-by-step explanation:
Find mQTS⌢, m∠RQS and mQS⌢.
If the measure of the angle ∠RQT is 125°. Then the measure of the angles ∠RQS and ∠SQT will be 44° and 81°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
If the measure of the angle ∠RQT is 125°. Then the measure of the angles ∠RQS and ∠SQT will be
Then we have
∠RQS + ∠SQT = 125°
(3x - 10)° + (4x + 9)° = 125°
7x - 1 = 125°
7x = 126°
x = 18°
Then the measure of the angle ∠RQS will be
∠RQS = 3 × 18 - 10
∠RQS = 44°
Then the measure of the angle ∠SQT will be
∠SQT = 4 × 18 + 9
∠SQT = 81°
More about the angled link is given below.
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The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.
Answer:
B
Step-by-step explanation:
given f(x) then f(x ± a) is a horizontal translation of f(x)
• if + a , then a shift to the left of a units
• if - a then a shift to the right of a units
h(x) = g(x - 3)
then h is the graph of g shifted right 3 units
Tomas bought 2.4 pounds each of apples and pears. The apples cost $1.65 a pound and the pears cost $2.25 a pound. Tomas split the cost of the apples and pears evenly with his 3 siblings. How much should each of them pay for the apples and pears?
Answer:
$2.34
Step-by-step explanation:
The total cost is the sum of the number of pounds multiplied by the cost per pound for each of the items purchased. Each of the four equal shares of the cost will be 1/4 of the total cost.
__
The distributive property can be used to simplify the problem.
total cost = cost of apples + cost of pears
share cost = 1/4(total cost) = 1/4((2.4 lb)($1.65/lb) +(2.4 lb)($2.25/lb))
share cost = (1/4)(2.4)($1.65 +2.25) = 0.6($3.90)
share cost = $2.34
Each of them should pay $2.34 for the apples and pears.
Which statements about the octagon are true? select two options. the length of segment yz is 15.3 cm. the measure of the angle formed by the radius and the apothem is 30°. the length of segment xy can be found by solving for a in 202 – 7.652 = a2. the length of segment wz is 20 cm. the measure of the central angle, ∠zxw, is 45°.
The statements about the octagon that are true are:
The length of segment xy can be found by solving for a in 202 – 7.652 = a2. The measure of the central angle, ∠zxw, is 45°.What is Octagon?This is known to be a kind of 2D shape object that is said to be made up of eight-sided polygon.
Note that when one measure the central angle, ∠zxw, as 45° it will therefore holds true for an octagon true shape and as such the two options above are correct.
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Answer:
its C and E my friend
Step-by-step explanation:
i took the test
yw :)
hope i helped/ made life easier
Use the properties of limits and the facts given below to find each of the limits given
Answer:
where are the limit questions?
On a recent math test, Carlos had to find the volume of the rectangular prism below. He gave the answer of 60 in3, which was marked incorrect. Help Carlos understand how to correctly find the volume of the prism.
A cube that is eight inches in length, ten inches in width, and six inches in height.
Answer:
480 in
Step-by-step explanation:
Rectangular Prism Formula :
V=whl
Which,
W = Width
H = Height
L = Length
Solve:
Given that:
Length = 8 in
Width = 10 in
Height = 6 in
Since the formula is:
V = whl
Then,
V = 8 × 10 × 6
V = 80 × 6
V = 480 in
Kavinsky
Detemine which equation has the same solutions as the equation below.
4X² + 32X - 28 = 0
A. (X+4)²=23
B. 4(X+4)²=36
C. (X+8)²=57
D. 4(X+8)²=28
The answer is B i hopes this helps
So I got it wrong in my homework how do i translate it?
To translate something:
⇒ is to write out the equations
Let's examine what information this problem gives us:
Mrs. Albert has $400 ⇒ Total money = 400Mrs. Albert bought two adult tickets at $62.50 each⇒ with '2' being the number of adults tickets
⇒total charge from purchasing adult tickets = 2 * 62.5 = 125
Each child ticket costs $42.5⇒ with 'x' being the number of child tickets bought
⇒total charge from purchasing child tickets = 42.5x
Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:
⇒ 42.5x + 125 = 400 <== translated form
Let's solve:
[tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]
Since we can only buy whole tickets:
Mrs. Albert could have bought at most 6 child tickets
Answer: Mrs. Albert can bring 6 kids
Hope that helps!
HELPPPPP I NEED TO FINISH THIS MATH HOMEWORK BUT IM STUCK ON A QUESTION ( its number 4 not the one above)
Answer:
$27.85
Step-by-step explanation:
I think what it means by outstanding charge is that there is something else he also needs to pay that he hasn't input yet. So, going off of that logic,
20+7.85 = 27.85, to find the amount he should pay for both charges to not create another bank fee.
Solve for x.
X=?
4x+4 4x -32
Step-by-step explanation:
4x-4x=-32-4
X=28
Is the answer
Answer:
No solution
Step-by-step explanation:
As the slopes are same and y-intercepts are different, we can conclude this system of equations has no solution.
Which values of x and y would make the following expression represent a real number? (4 5i)(x yi) x = 4, y = 5 x = –4, y = 0 x = 4, y = –5 x = 0, y = 5
The product will be a real number when x = 4 and y = -5.
Which values of x and y should we use?We have the product of complex numbers:
[tex](4 + 5i)*(x + yi)[/tex]
We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:
[tex](x + yi) = (4 - 5i)[/tex]
Now, if we take the product, we get:
[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]
So we can see that the outcome is a real number.
Then we must have x = 4 and y = -5.
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Answer: C
Step-by-step explanation:
You can use the surface area formula for a right cone to find the surface area
of an oblique cone.
A. True
B. False
Answer:
False
Step-by-step explanation:
False. Both surface area cannot be find using the same formula.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Right cone is a cone where the axis of the cone is perpendicular to the base .
Whereas, oblique cone has the axis of cone not perpendicular to the base.
Base area would be same for both right and oblique cones.
But the lateral surface area will be different.
Hence the surface area will be different.
Hence the surface area formula for a right cone is not same to find the surface area of an oblique cone.
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You have a job that pays $15.00 for each day you show up, plus
$8.50 per hour. Which expression shows the amount you make
in one day if you work for h hours?
Write in scientific notation:
0,007 832
Answer:
The scientific notation for this will be
[tex]7.832 \times {10}^{ - 3} [/tex]
As there are three zero in expression
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASESimplify.
√63 somebody please help
Answer:
7.93
Step-by-step explanation:
Skylar buys a one-gallon bottle of juice for $15.36. what is the unit rate of the cost of the juice per fluid ounce?
what is the cost of juice in dollars per fluid ounce?
Answer:
0.12
Step-by-step explanation:
there are 128 fluid ounces in 1 gallon
15.36 / 128 = 0.12
14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm
Answer:
3
Step-by-step explanation:
Using Pythagoras formula
h^2 = (root under) p^2 +b^2
or, h^2= 20^2 + 21^2
or, h^2= 400+441
or, h^2= 841
or, h= (root under) 841
Therefore h= 29
Now,
Perimeter of a triangle= a+b+c
= 20+21+29
=70
calculate the length of ed and be
Answer:
ED = 6.5 cm
BE = 14.4 cm
Step-by-step explanation
AB/BC = AE/ED is less than or eqauls ED = BC×AE/AB
so
ED = 5×26/20 = 130/20 = 6.5 cm
and
AB/AC = BE/CD => BE = AB×CD/AC
so
BE = 20×18/25 = 360/25 = 14.4 cm
IMPORTANT HELP PLEASE ANSWER IMMEDIATELY!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Type it out please!
Solve the following equation. Show all your work.
(x/(x−2))+((x−1)/(x+1))=−1
Answer:
[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]
Step-by-step explanation:
We are given and asked to solve the equation:
[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]
We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):
[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]
Simplify:
[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]
Expand and isolate:
[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]
Hence solve for x:
[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]
In conclusion, the solutions of the equation are x = 0 and x = 1.
find the area of each shaded sector. round to the nearest tenth.
Answer:
a.
Step-by-step explanation:
the area of a whole circle (360°) is
pi×r²
in our case
pi×10² = 100pi
but here we don't need the full circle. we only need a fraction of the whole circle : 128/360
so, the area of the sector is
100pi × 128/360 = 100pi × 16/45 = 20pi × 16/9 =
= 111.7010721... cm² ≈ 111.7 cm²
A store buys 17 sweaters for $68 and sells them for $561. How much profit does the store make per sweater?
He makes a profit in total of $8381
The store makes a profit of $29 per sweater.
Here, we have to calculate the profit per sweater, we need to find the difference between the selling price and the cost price (purchase price) of each sweater.
Given:
Number of sweaters bought = 17
Cost of buying 17 sweaters = $68
Selling price of 17 sweaters = $561
Profit per sweater = Selling price per sweater - Cost price per sweater
First, calculate the cost price per sweater:
Cost price per sweater = Total cost / Number of sweaters
Cost price per sweater = $68 / 17
Cost price per sweater = $4.
Now, calculate the profit per sweater:
Profit per sweater = Selling price per sweater - Cost price per sweater
Profit per sweater = $561 / 17 - $4
Profit per sweater = $33 - $4
Profit per sweater = $29.
The store makes a profit of $29 per sweater.
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which postulate or theorem proves that these two triangles are congruent?
a. ASA Congruence Postulate
b. SAS Congruence Postulate
c. AAS Congruence Theorem
d. HL Congruence Theorem
Can someone please help me answer this question
Answer:
B. adjacentStep-by-step explanation:
hope this helps you
Anybody know this? Find the value of x in o A
let's recall that a circle has a total of 360°. Check the picture below.
PLEASE HELP!!!!! I WILL MARK BRAINLIEST AND RATE 5 STARS!!
Answer:
37°
Step-by-step explanation:
sum of exterior angles of a polygon is 360°
so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360
8x+64=360, subtract 64 from both sides
8x=296
x=37°
Hello, please answer the question
Determine the equation of the perpendicular bisector of AB and state the coordinates of the point where the perpendicular bisector meets or intersects with the y-axis.
Gradient: -1
Midpoint : [5,1]
Coordinates for A: [3,5] , B: [7,1]
Answer:
the equation will be in the form of:
y = -x + b
To find be take any point on the line. Hence we have (5,1) which is the midpoint where the line meets.
Therefore, substitute (5,1) in the above equation:
1 = -5 + b
b = 6
So the question of the line will be:
y = -x + 6