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Algebra Examples
Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9
y
=
3
2
x
2
+
4
x
−
9
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
[
−
35
3
,
∞
)
Set-Builder Notation:
{
y
∣
∣
∣
y
≥
−
35
3
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
[
−
35
3
,
∞
)
,
{
y
∣
∣
∣
y
≥
−
35
3
}
image of graph
Answer:
y ≤ 66.28 -> -∞
Step-by-step explanation:
y = a (x-h)² + k ... (h,k): vertex
y = - 32x² + 90x + 3
= -32 (x² - (90/32)x + (90/64)²) + (3 + (32)*(90/64)²)
= -32 (x² - 2*(90/64)x + (90/64)²) + (3+63.28) ... 90/64=1.41
= -32 (x - 1.41)² + 66.28
h = 1.41
k = 66.28 .... extremum of y value
y ≤ 66.28 (y is real number)
True or false 5(6 + 5) = (5 ×6) + (5 × 4)
Answer:
false
Step-by-step explanation
Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to
9 x 15 = 135. Just width times height.
Ben enters the water during a scuba dive. After 41 seconds of diving, his depth changes by - 29 feet. He wants to know his average change in depth each second. Write an expression for the average change in depth each second.
Answer:
-0.7073ft/sec
Step-by-step explanation:
Given the following
Distance covered by Ben = -29feet
Time taken = 41secs
Required
average change in depth each second(speed)
average change in depth each second = Distance/Time
average change in depth each second = -29/41
average change in depth each second = -0.7073ft/sec
Answer:
The answer is -29 divided by 41
A car accelerates from a resting position to 100 mi/hr in 7 seconds. What is the acceleration?
The quadratic function f(x) has one zero at x=-5 and a turning point at (3,10). What is the value of its other zero?
The quadratic function [tex]f(x)[/tex] has one zero at [tex]x=-5[/tex] and a turning point at [tex](3,10)[/tex]. The value of other zero is [tex]11[/tex].
What is Quadratic function?The Quadratic function [tex]f(x)[/tex] is a polynomial function with one or more variables in which the highest power of the variable is two. i.e. [tex]f(x) = ax^{2} + bx + c[/tex]
What are zeros?The zeros of a polynomial [tex]f(x)[/tex] are all the [tex]x[/tex]-values that make the polynomial equals to zero. i.e. [tex]f(x)=0[/tex]
What is turning point?A turning point is a point at which the derivative changes sign.
We have,
One zero is [tex](-5)[/tex],
Let other Zero be [tex]"a"[/tex],
Turning point at [tex](3,10)[/tex].
i.e. [tex]x=3[/tex] and [tex]y=10[/tex]
Since the difference between [tex]3[/tex] and [tex](-5)[/tex] is [tex]8[/tex].
So,
The difference between the other zero from [tex]3[/tex] should be the same as the difference between [tex]3[/tex] and [tex](-5)[/tex].
i.e.
[tex]a-3=8[/tex]
[tex]a=11[/tex]
Hence the value of its other zero is [tex]11.[/tex]
To learn more about zeros click here
https://brainly.com/question/5975436
#SPJ2
If you had a sealed bottle of water, how would the mass of
the water bottle change after a 5 day period?
A. mass would increase
B. mass would stay the same
C. mass would decrease
D. none of the above
Using the density concept, it is found that the mass would stay the same, and the correct option is given by B.
-----------------
Density is mass divided by volume, that is:[tex]d = \frac{m}{v}[/tex]
Using the equation, the mass will be given by:[tex]m = dv[/tex]
-----------------
The density of the water is constant, so it would stay the same after 5 days.The bottle will be sealed, thus the amount of water, that is, the volume, will also stay the same.Mass is multiplication of mass and volume, since both stay the same, mass also stays the same, and thus, the correct option is B.A similar problem is given at https://brainly.com/question/16909559
Carla and Marci are having a competition to see who can learn finish typing their research first. Carla already has 2 pages finished and can type 2 pages per hour. Marci has just started typing and can type 3 pages per hour. After how many hours will Carla and Marci have typed the same amount?
Answer:
The answer is 2 hours, if that i wrong then put in 3 hours.
Step-by-step explanation:
You could juat write out a chart for every number, so 2+0, 4+3, 6+6, so two hours.
Answer:
After 2 hoursStep-by-step explanation:
Let the time is x.
Carla will type:
2x + 2Marci will type:
3xSince they will have typed the same number:
3x = 2x + 23x - 2x = 2x = 2 hoursPLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
"For evil to flourish, it only requires good men to do nothing."- Simon Wiesenthal
Simon Wiesenthal is a holocaust surviver. Although many different variations of this quote exists, this provides us a more haunting view of the world. Explain what this quote means. Explain if you agree or disagree with this quote. Finally, explain if you think it is difficult for "good men" to speak up of out? This should be in 3-5 sentences
Answer:
I disagree with this quote. I think this quote means that good men should relax and make the others do the work. I think it could be hard at times for good men should to speak up for a couple of reasons. I think it could be hard for men to speak up because they could be embarrassed or at certain times they wouldn't know what to do so they would freak out. Just because it may be hard to speak up doesn't mean they should be lazy and relax, they should still help in my opinion.
Step-by-step explanation:
24 out of the 48 employees at the sport shop or part time employees. What percentage of the employees at the sport shop work part time?
Answer:
I don't know if you're serious but its 50%.
Step-by-step explanation:
Its really simple, 48/24=2 meaning that 24*2=48 and means that 24 is half of 48 making it 50%.
Ray ET bisects angle WET. If angle WET is 48 degrees and angle TEV is 3x +9, what
is the value of x?
19
48
13
3
Answer:
angle wet and angle vet are equal because et bisects wev.
angle wet=angle vet
48°=3x+9
48-9=3x
39=3x
39/3=x
13=x
Hey can you help me fast!!!
Answer:
Area= 4 ft²
Step-by-step explanation:
Area= (2)(2)
multiply 2 × 2= 4
Area= 4 ft²
-------------------------
hope it helps...
have a great day!!
Which question is a statistical question because it has more than one answer?
1 : “ where does the current u.s president live?”
2: “ what size coat am i wearing now ?”
3: “did jack wear sneakers or boots to school today?”
4: “ What size shirt the kids in the school wear?”
1. Alyssa is twice as old as Brittany, and Jazmin is 15 years older than Alyssa. If Jazmin is 45 years old, how old is Brittany?
Write two algebraic equations, let represent Alyssa’s age in years and represent Brittany’s age in years.
Tysm if u do this <3
Answer:
Brittany is 15 years old
Step-by-step explanation:
The way we get the answer is by getting the age of Alyssa 45-15=30 as, Jazmin is 15 years older than Alyssa and then we can see that Alyssa is twice as old as Brittany so we divide Alyssa's age by two. 30÷2=15 and we get Brittany's age which is 15 years old.
Help plz!!
Ryan worked at a local ice cream shop during the summer. The money he earned for the first six weeks is given below.
$40, $80, $38, $40, $32, $65
Ryan then earned $24 in the seventh week. How were the mean and the median affected?
The mean decreased, and the median remained the same.
The median decreased, and the mean remained the same.
The median and the mean both remained the same.
The mean and the median both decreased.
Answer:
my answer isn't on the list, but doing the math the median increased from 39 to 40, but the mean decreased from 49.16 to 45.57
The length of a rectangle is one less than twice its width. The area is 66 square centimeters. Find the length and width.
Answer:
I. Length, L = 11 cm
II. Width, W = 6 cm
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Area of rectangle = 66 cm²
Translating the word problem into an algebraic expression, we have;
L = 2W - 1 .....equation 1
We know that the area of a rectangle is given by the formula;
A = L * W
Substituting
66 = L * W ....equation 2
Substituting eqn 1 into eqn 2, we have;
66 = (2W - 1) * W
66 = 2W² - W
2W² - W - 66 = 0
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 2, b = -1 and c = -66
Solving the quadratic equation using the quadratic formula;
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the equation, we have;
[tex] x = \frac {-(-1) \; \pm \sqrt {1^{2} - 4*2*(-66)}}{2*2} [/tex]
[tex] x = \frac {1 \pm \sqrt {1 - (-528)}}{4} [/tex]
[tex] x = \frac {1 \pm \sqrt {1 + 528}}{4} [/tex]
[tex] x = \frac {1 \pm \sqrt {529}}{4} [/tex]
[tex] x = \frac {1 \pm 23}{4} [/tex]
[tex] x_{1} = \frac {1 + 23}{4} [/tex]
[tex] x_{1} = \frac {24}{4} [/tex]
x1 = 6
We do not need the negative value of x, so we proceed.
Therefore, Width, W = x1 = 6 cm
Next, we find the length L;
From eqn 1;
L = 2W - 1
L = 2(6) - 1
L = 12 - 1
L = 11 cm
1a. what is the slope. 1b. what is the y- intercept 1c. write the equation. PLEASE HELP IM DOING HOMEWORK AND ITS 1:00am
the slope is 1 cos its goin ovr one, up one
y-int is (0,3) or jus strait up 3 cos thts where it crosses the y
iiiif you write it using y=mx+b,, m is the slope n b is the y int so itd jus be: y=x+3
If 9/10 is multiplied by 8/9 , will the product be greater than either of the two factors?
Answer:
No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.
Answer:
No
Step-by-step explanation:
It will not be because when a number is numtiplied by one, it stays the same. However, both of these are numbers less than 1, so the product will be smaller
A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (–4, 0) and (6, 0). The y-intercept of the first parabola is (0, –12). The y-intercept of the second parabola is (0, –24). What is the positive difference between the a values for the two functions that describe the parabolas? Write your answer as a decimal rounded to the nearest tenth.
Answer:
.5
Step-by-step explanation:
Edge 2021
Answer:
It is indeed 0.5
Step-by-step explanation:
If you have this on edge, then it is correct.
What is the total surface area of this square pyramid?
204 cm2
384 cm2
72 cm2
240 cm2
Answer: 384 cm²
Step-by-step explanation:
Took test
Answer:
Answer: 384 cm²
Step-by-step explanation:
please help i don’t get it :(
A 16 ft monument consists of a rectangular prism and a square pyramid, as shown below. If the exposed surfaces of the monument are to be covered with one-inch square tiles, determine approximately how many tiles will be needed.
Answer and Step-by-step explanation:
The actual answer is 348.
4 rectangles with area 60 each, which, when added together, equals 240.
1 square with area 36.
Each triangle face is 18 each, so 72.
Add those together and the answer is 348 [tex]ft^2[/tex] :).
#teamtrees #PAW (Plant And Water)
Pls answer fast and no bs links or I’ll report
Answer:
Step-by-step explanation:
a c e
Can someone please help me with math oh ya no links pls
I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am
12 am is right above 9 pm but it occurs before 9pm.
Find the midpoint of (-4,-2) and (4,-2)
Answer:
(0,−2)
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Your formula is:}\downarrow[/tex]
[tex]\mathsf{M = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})}[/tex]
[tex]\mathsf{x_1 = -4}[/tex]
[tex]\mathsf{x_2 = 4}[/tex]
[tex]\mathsf{y_1 = -2}[/tex]
[tex]\mathsf{y_2 = -2}[/tex]
[tex]\mathsf{Equation: m= (\dfrac{-4+4}{2}, \dfrac{-2+-2}{2})}[/tex]
[tex]\mathsf{-4 + 4 = \bf 0}[/tex]
[tex]\mathsf{m = (\dfrac{0}{2},\dfrac{-2+-2}{2})}[/tex]
[tex]\mathsf{-2 + -2 = \bf -4}[/tex]
[tex]\mathsf{m = (\dfrac{0}{2}, \dfrac{-4}{2})}[/tex]
[tex]\mathsf{\dfrac{0}{2}=\bf 0}[/tex]
[tex]\mathsf{\dfrac{-4}{2}=\bf -2}[/tex]
[tex]\mathsf{m= \bf (0, -2)}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf (0,-2)}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
1) Alicia's gross monthly pay is $1,700.
Alicia pays 5.7% of her monthly salary for
Social Security. How much does Alicia
pay?
A $0.96
C $96.90
B $9.69
D $969.90
Answer:
96.90
Step-by-step explanation:
1700x.0570=96.90
For each ordered pair, determine whether it is a solution to the system of equations.
-3x+2y=1
4x-5y = 8
Is it a solution?
Х
5
?
Yes
No
(-6.2)
(3.5)
o
(-3. – 4)
o
(2.0)
Answer:
(-6, 2) NO
(3, 5) NO
(-3, - 4) YES
(2, 9) NO
solve for x and y.
A x=6; y=10
B x=13.5; y=10
C x=6;y=5
D x=13.5; y=5
Answer:
B x=13.5; y=10
this is answer
Step-by-step explanation:
Okay can you guys help me find which one is the variable. And like what it means for like example x could equal to distance in km
Answer:
a) 1000+0.05x ≥2200
b) x=24000
Step-by-step explanation:
a) So we know that Nadia for certain gets paid $1000 each month. That is a concrete amount that doesn't change, so the variable (x) would be placed on the 5% she earns from sales. We don't know how much she sells each month because it varies, so that will be represented by the X. Her goal is to raise NO LESS than $2200, which means the amount she earns from sales has to be greater than or equal to $2200.
b) From here just solve the equation for X:
The price of an Item has been reduced by 80%. The original price was $65. What is the price of the item now?
Answer:
$13
Step-by-step explanation:
multiply 65 by 80 then divide by 100, you get 52, so subtract 65 from 52 you get 13
Leonard made the 3-d shape below for an art project. He wants to paint it blue.
How many square centimeters of paint does he need to paint the outside of every
side except for the bottom?
10 cm
6 cm
Answer:
90 [tex]cm^{2}[/tex] of blue paint
Step-by-step explanation:
From the given diagram, the sides have the same dimensions and the shape of a triangle.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
Given that, the base of each side = 6 cm, and the height = 10 cm.
Then,
Area of each side of the shape = [tex]\frac{1}{2}[/tex] x 6 x 10
= 30 [tex]cm^{2}[/tex]
Since Leonard wish to paint only the 3 sides and not the bottom part of the shape, the amount of paint required can be determined as;
3 x area of each side = 3 x 30
= 90 [tex]cm^{2}[/tex]
Leonard would need 90 [tex]cm^{2}[/tex] of paint to paint the sides of the shape.
