Step-by-step explanation:
Given expression is x⁴-kx²+4 =0
x−2 is a factor of the given expression.
So, x=2
Substitute in the equation, we get
2⁴-k(2)²+4
⇒16+4k+4=0
⇒4k=−20
⇒k=−5
Identify the domain of the function shown in the graph.
A. -5<x<5
B. 0<x<5
C. x is all real numbers.
D. x > 0
Answer:
The answer is A choice.
Explanation:
By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.
Thus, the domain is at the left end side to the right end side.
The domain stops at -5 on the left side and 5 on the right side. Thus the answer is
-5 < x < 5.
The A choice.
Understanding
The domain of a function is basically all the values where x is defined, and by defined, it means it has a y value corresponding to it. In this graph, x is defined from -5 to 5. If you look outside this range of numbers (from -5 to 5 on the x-axis) you will not find any y values for them. We can easily say the solution is A.
Solution:
[A] [tex]-5<x<5[/tex]
Note: From what I see from the picture -5 and 5 are included in the domain, either the question is incorrectly written, or the picture isn't clear enough. If so, the answer should be [tex]-5\leq x\leq 5[/tex].
A 93 L batch of Ropivacaine is being made. The specific gravity is 1.01 g/mL. 196.42 g of Ropivacaine and 799.8g of sodium chloride are added. What is the weight of the water to be added to QS the solution?
Answer:
92.93378 kg
Step-by-step explanation:
Given that:
Volume of Batch = 93 L
= 93 × 1000 (since 1 L = 1000 mL)
= 93000 mL
Specific gravity = [tex]\dfrac{density \ of \ solution}{density \ of \ water}[/tex]
where;
density of water = 1 g/ml
specific gravity = 1.01 g/mL
Density of solution = (1.01 × 1) g/mL
Density of solution = 1.01 g/mL
[tex]Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}[/tex]
mass of batch = 1..01 g/mL × 93000 mL
mass of batch = 93930 g
Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)
= 93930 g - 196.42 g - 799.8 g
= 92933.78 g
Since 1kg = 1000 g
The weight of the water to be added to the QS solution is:
[tex]=\dfrac{92933.78}{1000}[/tex]
= 92.93378 kg
HELP ALL MY POINTSwhich expression is equivilent to -6(-2/3+2x)
A.-4-12x
B.-4+2x
C.4-12x
D.4+12x
Answer:
A B C D
Step-by-step explanation:
A bungee jumper dives from a bridge over a river. The function ℎ(푡) = −16푡 % +5푡 +250 gives the approximate height h in feet of the jumper until he hits the water for the first time. The variable t is measured in seconds.
Answer and Explanation:
Given the function:
ℎ(t)= −16t+5t+250
Where the variable t is measured in seconds. We can plug in t=20 seconds in the function to measure the height in feet of the bungee jumper after 20 seconds.
h(t)= -16×20+5×20+250
h(t)= -320+100+250
h(t)=350-320
h(t)= 30feet
height in feet of the bungee jumper after 20 seconds = 30 feet
A polynominal function that describes an enclosure is v(x)=1500x_x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
562500 feet²
Step-by-step explanation:
this is algebra ,
what is the minimum unit cost?
Answer:
search it up
Step-by-step explanation:
Use the standard algorithm to find the product of 582 and 46.
Answer:
someone plz help this person
How do i solve 6x+5=23
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6x + 5 = 23
Step 2: Solve for x
Subtract 5 on both sides: 6x = 18Divide 6 on both sides: x = 3Answer:
That is the answer l hope it helps ❤❤❤Your teacher finds a catalog that sells posters for $2 each. There is an additional charge of $4 to ship and order. Suppose that your class paid $54 for posters.
Okay is this correct? Pls lmk! <3
Answer:
yup!
Step-by-step explanation:
Answer:
Yes absolutely! *gives thumbs up*
Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$
Use a similar strategy as in your other question, [19925664].
3x² + 4x + 12 = 3 (x - r ) (x - s)
3x² + 4x + 12 = 3 (x² - (r + s) x + rs)
3x² + 4x + 12 = 3x² - 3 (r + s) x + 3rs
so that
r + s = -4/3
rs = 12/3 = 4
Recall that
(r + s)² = r² + 2rs + s²
so that
r² + s² = -2rs = -2(4) = -8
pls i need a lot of help bc is a lot of work idk how to do
-2w(w+8)
Answer:
-2w² + -16w
Step-by-step explanation:
-2w(w+8)
Multiply each term by -2w
(-2w * w) + (-2w * 8)
-2w² + -16w
Answer:
-2[tex]w^2[/tex] - 16w
Step-by-step explanation:
multiply w and 8 by -2w.
when you multiply w by 2w, you get -2[tex]w^2[/tex] and 8 times -2w = -16w
-2[tex]w^2[/tex] - 16w
Help! Thank youuuuu!!!!!
Answer:
scamming outta points
Step-by-step explanation:
Sally paid $2.40 for 4 ounces of cinnamon. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound
Answer:
$12.80 per pound
Step-by-step explanation:
Since there are 16 ounces in 1 pound, we multiply $0.80 by 16 ounces to find how much cinnamon costs per pound. The answer is $12.80.
Hope this helped, Have a Wonderful Day!!
Answer:
$9.60 per pound
Step-by-step explanation:
- 4 ounces = 2.40 each
- 2.40 x 4 (4 because 4x4 is 16 and there are 16 ounces in a pound)
= $9.60
y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1, –4)
O no solution
O infinite number of solutions
Answer:
3 no solution
Step-by-step explanation:
I'm a smart man I would know trust me
I have my masters degree
Find the equation of the line
Use exact numbers
Y=blankx+blank
Step-by-step explanation:
The equation of the line is y = -1.5x + 3.
Determine if the result of each product is a positive or negative integer
Answer:
1. -13x9= -117 Negative
2. 4x14= 65 Positive
3. -6x(-31)= 186 Positive
4. -18x(54)= 4374 Positive
5. 55x7= 385 Positive
Step-by-step explanation:
In a two digit number , the digits at tens place is 1 more than the digit at unit place .If the product of the digits is 20,find the numbers.
a store sells comic books. during the sale, the store reduces the price of each comic book by $1.25. claire spends $13.76 on 4 comic books at the sale price. what was the price of 1 comic book before the sale?
Answer:
4.69
Step-by-step explanation:
13.76/4 +1.25
Which are the intercepts of the equation y+2=4(x+1) ?
Answer:
*3rd option*
y intercept (0, 2)
x intercept (-1/2 , 0)
Step-by-step explanation:
First, rearrange the equation so y is on one side, the rest of the terms on the other.
y+2 = 4x + 4
y = 4x+2
The y intercept is 2 because x=0, y = 2
rearrange where x is on one side
4x = -y + 2
x = -1/4y - 1/2
The x intercept is -1/2 because when y=0, x=-1/2
please give thanks :)
and brainliest :)
hope this helps
Johan's water bottle holds 4.2L of water. Johan has drank 51% of water in the bottle. How much, in litres, has he drunk?
Answer : 2.142L
Step-by-step explanation:
51/100 × 4.2
=51/100 × 42/10
= 2142/1000
= 2.142L
Answer:
2.142 LStep-by-step explanation:
Total Volume = 4.2L = 4200 ml
Amount Drunk = 51%
How much did Johan drink = 51% of 4200 ml
[tex] \frac{51}{100} \times 4200 \\ = \frac{51 \times 42}{1} \\ = 2142[/tex]
2142 ml = 2.142 L
I'll give brainly if right and pls do an explanation
Answer: $280
Step-by-step explanation:
92.5-36.5 = 56
56x 10 = 560
1/2 x 560 = 280
Benny spent $280 to go to summer camp.
I hope this helps :)
13 points!!
The table below shows the heights of five different people.
table shown below
Jackson has a height of 55 inches. Which is true if Jackson is added to the data set?
Answer:
The Mean Decreases.
Step-by-step explanation:
Answer:
the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to Jackson then yeah Cindy
There are 5 red markers, 2 orange markers, 3 yellow markers, and 5 green markers in a desk drawer.What is the probability of choosing a red marker?
Answer:
the probability is 5/12 or 0.416 or 41%
Step-by-step explanation:
Hope I helped!
Which phrases could n + 10 represent? Check all that apply.
the sum of a number and ten
the difference between a number and ten
a number plus ten
the difference between ten and a number
ten more than a number
Answer:
The sum of a number and ten
A number plus ten
Ten more than a number
Step-by-step explanation:
edg
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
30
Step-by-step explanation:
3 multiply 5 =15
so:
6 multiply 5=30
Simon likes to bake pies. His favorite to make is
apple pies. He used a ratio of 9 apples to 3 ounces of
sugar to make a pie. Which ratio is equivalent to
ounces of sugar to apples?
Answer:
C.
Step-by-step explanation:
Hoped I helped! Im Eve btw Hope you have a great day and consider marking this brainliest
If anyone can please answer and explain will mark the brainliest answer
Answer:
a) [tex]y=\frac{1}{3} \sqrt{x+4}[/tex]
b) [tex]y=4 \sqrt{x}+3[/tex]
c) [tex]y=\sqrt{2x}-6[/tex]
Step-by-step explanation:
Part a is the green curve
Part b is the purple curve
Part c is the red curve
The black curve is the equation of the graph [tex]y=\sqrt{x}[/tex]
just for reference
Enter the correct answer in the box.
Consider this rational equation.
Use the least common denominator to simplify the rational equation into a standard form quadratic equation.
Replace the values of b and c to create the equation.
Answer:
[tex]x^2-10x+8=0[/tex]
Step-by-step explanation:
[tex]\frac{1}{x} +\frac{1}{x-2}=\frac{1}{4} \\\\\frac{x-2+x}{x(x-2)} = \frac{1}{4} \\\\\frac{2x-2}{x(x-2)}=\frac{1}{4} \\\\4(2x-2)=x(x-2)\\8x-8=x^2-2x\\0=x^2-2x-8x+8\\0=x^2-10x+8\\x^2-10x+8=0\\[/tex]
Using the least common denominator in simplifying the rational equation, the result of in standard form is: [tex]\mathbf{x^2 -10x + 8 = 0}[/tex]
What is the Least Common Denominator (LCD)?Least common denominator is the smallest common multiple of the denominators of two or more fractions.It is useful when simplifying, adding, subtracting or comparing fractions.Given:
[tex]\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}[/tex]
The least common denominator of the two fractions on the left side of the equation is x(x - 2).
Thus:
[tex]\frac{1(x - 2) + x(1)}{x(x - 2)} = \frac{1}{4}\\\\\frac{x - 2 + x}{x(x - 2)} = \frac{1}{4}\\\\\frac{2x - 2}{x^2 - 2x)} = \frac{1}{4}[/tex]
Cross multiply[tex]4(2x + 2) = 1(x^2 - 2x)\\\\8x + 8 = x^2 - 2x\\\\[/tex]
Rewrite in standard form[tex]0 = x^2 - 2x - 8x + 8\\\\0 = x^2 -10x + 8\\\\\mathbf{x^2 -10x + 8 = 0}[/tex]
Learn more about least common denominator on:
https://brainly.com/question/542317
Carlos has 38 apples. He puts 8 apples into each bag if he fills as many bags as possible, how many apples are left
Answer:
6
Step-by-step explanation:
What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left