Answer: There is no x-intercept for this quadratic equation.
Step-by-step explanation:
An x-intercept is when the y-value of the point if equal to zero. There is no x-intercept for this quadratic equation. This can be supported by the fact that this equation cannot be factored.
I only have 30 sec left help
Answer:
17
Step-by-step explanation:
first find the value of N
PLZ HELP ASAP!! (Algebra)
Answer:
the relation is a function since one input provides us with only one output
outputs are the range since we know that range is the set of all possible outcomes
PLEASE HELP ME, I DON'T UNDERSTAND!
Hello,
First of all, dividing by 0 is not defined we will take x different from 1/3 (because -1+3x= 0 <=> x = 1/3)
Then, dividing this polynomial by (-1+3x) means that you have to have Q(x), a polynomial of degree 1 and R a real number such that
[tex]\dfrac{9x^2-6x+2}{-1+3x}=Q(x)+\dfrac{R}{-1+3x}\\\\\text{We can multiply by (-1+3x)}\\\\9x^2-6x+2=(-1+3x)Q(x)+R[/tex]
Either you do the division and you can select the correct answer or you check the different answer to identify the correct one.
For instance, for the first answer, let's estimate
[tex](-1+3x)(3x-3)+\dfrac{-1+3x}{3x-1}\\\\=-3x+3+9x^2-9x+1\\\\=9x^2-12x+4[/tex]
and this is not equal to our initial polynomial, so this is not the correct answer.
Second Answer.
[tex](-1+3x)(3x-1)+\dfrac{-1+3x}{3x-1}\\\\=-3x+1+9x^2-3x+1\\\\=9x^2-6x+2[/tex]
And this is our initial polynomial. So this is the [tex]\large \boxed{\sf \bf \text{correct answer}}[/tex]
Thank you.
PS: in this example, you can even notice the following (so it makes the division trivial)
[tex](3x-1)^x=9x^2-6x+1 \\\\\text{So}\\\\9x^2-6x+2= (3x-1)^2+1\\\\\text{And, then.}\\\\\dfrac{9x^2-6x+2}{-1+3x}=3x-1+\dfrac{1}{3x-1}[/tex]
Which of the following equations represents a line parallel to the line given by y=5x +9?
Answer:
y = 5x + 1
Step-by-step explanation:
Lines that are parallel to each other on a graph would have the same slope but different y-intercepts. When option A's equation is graphed along with the line given in the question, the lines appear to be parallel.
Option A should be the correct answer.
Change the decimal to fraction form or mixed number form and reduce if possible 73.437
Answer:
73.437= 74 437/1000
Step-by-step explanation:
73.437 to fraction.
Let's acknowledge the presence of a decimal and how many digit we have after the decimal point.
Actually, the numbers after the decimal point will determine the amount of 10s to be divided with.
What I'm saying is this
73.437= 74 437/1000
In this case, 437 is a prime number
So
73.437= 74 437/1000
3. Find which of the following are in proportion:
(1) 12, 16, 6,8
Answer:
thus, the ratios 8 : 16 and 6 : 12 are equal
Step-by-step explanation:
8 : 16 and 6: 12
8 : 16 = 1/2
6: 12= 1/2
Thus, the ratios 8 : 16 and 6 : 12 are equal
An elevator descends into mine shaft at the rate of 6m/min. If the descend starts from 10m above the ground level , how long will it take to reach the shaft which is 350m below the ground level?
Answer: Hi!
So first, I'm going to convert "350 below ground level" to -350, as this is what "below ground level" represents.
Now, we should find the total distance traveled. Take the absolute value of -350 (350) and add it to 10, the metres above ground level. This is 360.
We already know the rate of travel; 6m/min. All we have to do now is divide the total distance (360) by the rate of travel (6)!
360 ÷ 6 = 60
So, it took 60 minutes, or one hour, for the elevator to travel down the shaft!
Hope this helps!
Which expression is equivalent to -6(-2/3+2x)
Answer:
Step-by-step explanation:
Using the Distributive Property of Multiplication, we get
12
---- - 12x. or 4 - 12x, or 4(1 - 3x)
3
What is the y-intercept of the graph of the following data? a (-1, 0) b (0, 3) c (0, -3) d (1, 6).
Answer:
b
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses.
On the y- axis the x- coordinate is always zero.
From the table when x = 0 , y = 3, thus
(0, 3 ) is the y- intercept → b
Can Someone please help me....Like pretty please....It would mean everything to me, Please help me out 1. 2. 3. 4. 5.
================================
Explanation:
SSS stands for "Side side side" indicating there are 3 pairs of sides that are same length. Visually we use tickmarks to show how the sides pair up. Eg: sides that have 1 tickmark only are the same length. If we know that all 3 pairs of sides are congruent, then we have enough info to conclude the triangles are congruent.SAS means "side angle side". The angle is between the two sides. The sides in question are the ones with tickmarks to indicate how they pair up. We have two angles and a side between them. So we use ASA this time. It stands for "Angle side angle". This is slightly different from AAS.We'll use AAS here. The side is not between the two angles. So this is why AAS is different from ASA. Some books may call "AAS" as "SAA", but they're the same thing. HL stands for hypotenuse leg. This only applies to right triangles (since the hypotenuse is a special term for the longest side of a right triangle). The hypotenuse is always opposite the 90 degree angle. This is the only time when SSA will work. Otherwise, SSA is ambiguous and it is not a valid congruence theorem.What is the standard form of nine million, twenty thousand, twenty-nine
Answer:
9000000+20000+20+9
Step-by-step explanation:
the H.C.F OF 64,96,128
Answer:
32
Step-by-step explanation:
[tex] 64= 2^6[/tex]
[tex] 96= 2^5\times 3[/tex]
[tex] 64= 2^7[/tex]
Common factor = [tex] 2^5[/tex]
Therefore,
H.C.F OF 64,96,128 = [tex] 2^5[/tex] = 32
identify the values of the coefficents in the quadratic equation 5x^2=4x+7
Answer:
5, -4, and -7
Step-by-step explanation:
5x² = 4x + 7
The standard form of a quadratic equation is
y = ax² + bx +c, where
a, b, and c are the coefficients.
If we convert your quadratic to the standard form, it becomes
5x² - 4x - 7 = 0
The coefficients are 5, -4, and -7.
(8x2 + 9) - (3x2 + 2x + 5)
Answer:
5x^2 -2x +4
Step-by-step explanation:
(8x^2 + 9) - (3x^2 + 2x + 5)
Distribute the minus sign
(8x^2 + 9) - 3x^2 - 2x - 5
Combine like terms
5x^2 -2x +4
A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 6 hours. Rhonda can paint the same room in 3 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary.
Answer:
2 hours.
Step-by-step explanation:
From the question given,
Wade can do the work alone in 6 hours.
Rhonda can do the same work in 3 hours.
Next, we shall determine how much work is done by Wade and Rhonda in 1 hour each. This is illustrated below:
If Wade can do the work alone in 6 hours.
Then Wade can do 1/6 of the work in 1 hour.
If Rhonda can do the same work in 3 hours.
Then Rhonda can do 1/3 of the work in 1 hour.
Next, we shall determine the work done by Wade and Rhonda when they work together. This is illustrated below:
Wade's 1 hour work = 1/6
Rhonda's 1 hour work = 1/3
Therefore, work done by Wade and Rhonda together in 1 hour = 1/6 + 1/3 = 3/6 = 1/2
Since they completed 1/2 of the work in 1 hour, it means they will complete the work in 2 hours.
solve this equation x-3=4
Answer:
x-3= 4
x= 4+3
Answer: x= 7
Answer:
x=7
Step-by-step explanation:
x-3=4
Adding 4on both sides
x-3+3=4+3
x=7
Hope it will help you :)
Three weeks ago John bought stock at 4944; today the stock is valued at 4971g. We could say the stock is performing at which of the
following?
A. Below par
B. Above par
C. On par
D. Par equality
Answer:
Step-by-step explanation:
B: Above par. Stock has gained a bit of value since it was purchased.
A super-secret handshake is set up with every other person in a cabin. You and another person in the cabin have one handshake. Now there are 14 total people in the cabin. How many handshakes will there be in all?
Answer: 7 handshakes in all.
Step-by-step explanation:
If you and another person have one shake and there are 14 total people in the cabin that means that there will be 7 handshakes in all.
simplify -4(x+6)+2(x-2)
Answer:
[tex]-2x-28[/tex]
Step-by-step explanation:
We can apply the distributive property then combine like terms for a simpler equation.
[tex]-4(x+6)+2(x-2)\\\\-4x-24+2x-4\\\\-2x-28[/tex]
Hope this helped!
Answer:
-2x -26
Step-by-step
Solve the equation
2r-3 3
———— = —
4 5
Find the sum of the sequence. 42+43+44+45+...+107
Answer:
4917
Step-by-step explanation:
Given sequence:
42, 43, 44, 45, ..., 107This is AP with common difference of 1, the first term of 42 and the last term of 107
Number of terms:
107 - 42 + 1 = 66Sum of the terms:
Sₙ= 1/2*n*(a₁+aₙ)Sₙ= 1/2*66*(42+107) = 4917Answer is: 4917
What is 325.623 rounded to the nearest tenth?
can u answer this plz
Answer:
The answer is 14 :)
Step-by-step explanation:
We have,
∠PQS = 90°∠PQR = 76°Find the measure of ∠ x ?
∠PQR + ∠RQS = ∠PQS
⇒ 76° + x = 90°
⇒ x = 90° - 76°
⇒ x = 14°
There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are there to select 2 pairs of gloves? (b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
Simplify.
-104
3(+ 1)?
Enter your answer, as a simplified fraction, in t
Please I need it now
Answer: I'll explore two options here. Your question wasn't entirely clear. If you meant a regular 2 step equation, this would be your answer:
-104(3+1)
-104(4)
416
However, if you meant -104/(3+1) this would be your answer:
-104 ÷ (3+1)
(3+1) = 4
-104 ÷ 4 = -26
Hope this helped!
When a number is increased by 3 and that number is doubled, the result is -8. What was the original number?
Answer:
The original number is -7.
Step-by-step explanation:
In this section, we are trying to figure out a mysterious number. Let's call this number y. To find the value of y, we need to create an equation. Our equation will be based on clues hidden in the text. So, what do we know?
- A number, aka y, is increased by 3. (y+3)
-That number is doubled. 'That number' refers to the answer of y+3. So, (y+3)x2.
-Finally, the end result is -8.
Great! Now we know our equation: 2(y+3)=-8. We need to figure out what y equals, so let's isolate the y term with some algebra.
2(y+3)=-8; Original formula
2y+6=-8; Distribute the (y+3)
2y=-14; Carry the 6 to the other side of the equation.
y=-7: Divide
Thus, our mysterious number is -7. Hope this helps:)))
Cooper bought a washing machine with a sticker price of $900. If he paid $12
a week for two years, what was the approximate markup rate on the washing
machine?
A. 27.9%
B. 38.7%
C. 69.3%
D. 72.1%
1 year = 52 weeks. 2 years would be 104 weeks.
$12 per week x 104 weeks = $1248 total.
1248 - 900 = $348
348 /900 = 0.3866 = 38.7%
The answer is B
Let (6,-5) be a point on the terminal side of θ. Find the exact values of sin θ, sec θ, and tan θ.
Answer:
sinθ = -5/√61
secθ = √61/6
tanθ = -5/6
Step-by-step explanation:
From the given coordinate (6, -5), x = 6 and y = -5. This shows that the point lies in the 4th quadrant. In the fourth quadrant, only cos θ is positive, both sin θ and tan θ are negative.
Let us get the value of the radius 'r' first before calculating the trigonometry identities.
Using the Pythagoras theorem;
[tex]r^2 = x^2 + y^2\\r^2 = 6^2 + (-5)^2\\r^2 = 36+25\\r^2 = 61\\r = \sqrt{61}[/tex]
Using SOH, CAH, TOA to get the trigonometry identities;
Given x = 6, y =5 and r = √61
[tex]sin \theta = opp/hyp = y/r\\sin \theta = 5/\sqrt{61} \\[/tex]
Since sin θ, is negative in the fourth quadrant, [tex]sin \theta = -5/\sqrt{61} \\[/tex]
[tex]cos \theta = adj/hyp = x/r\\cos \theta = 6/\sqrt{61} \\[/tex]
[tex]sec \theta = \frac{1}{cos \theta} \\sec \theta = \frac{1}{6/\sqrt{61} } \\sec \theta = \frac{\sqrt{61} }{6}[/tex]
For tanθ:
[tex]tan \theta = \frac{opp}{adj} = \frac{y}{x} \\tan \theta = \frac{5}{6}\\[/tex]
Since tan θ, is negative in the fourth quadrant, [tex]tan \theta = -5/6[/tex]
[tex]SIN\Theta=\frac{-5}{\sqrt{61} }[/tex],
[tex]SEC\Theta=\frac{\sqrt{61} }{6}[/tex]
[tex]TAN\Theta=\frac{-5}{6}[/tex].
Given coordinate of point be (6, -5).
So the point lies in the 4th quadrant. In the fourth quadrant, only cos θ is positive, both sin θ and tan θ are negative.
Since (6, -5) is on the terminal side that puts us in the fourth quadrant. If we plot that point and draw a diagonal to it from the origin, we will be able to draw a right triangle with that diagonal as the hypotenuse.That means the adjacent side is 6 and opposite side it -5.
By Pythagorean theorem, we find that the hypotenuse
[tex]H=\sqrt{6^{2} +(-5)^{2} }[/tex]
[tex]H=\sqrt{61}[/tex]
We know from trigonometric ratios,
[tex]SIN\Theta=\frac{Perpendicular}{hypotenuse} \\[/tex]
[tex]SIN\Theta=\frac{5}{\sqrt{61} }[/tex]
Since [tex]SIN\Theta[/tex] is negative in 4th quadrant,
so,
[tex]SIN\Theta=\frac{-5}{\sqrt{61} }[/tex]
Similarly,
[tex]SEC\Theta=\frac{hypotenuse}{base}[/tex]
[tex]SEC\Theta=\frac{\sqrt{61} }{6}[/tex]
And,
[tex]TAN\Theta=\frac{perpendicular}{base}[/tex]
[tex]TAN\Theta=\frac{-5}{6}[/tex]
Hence, [tex]SIN\Theta=\frac{-5}{\sqrt{61} }[/tex], [tex]SEC\Theta=\frac{\sqrt{61} }{6}[/tex] and [tex]TAN\Theta=\frac{-5}{6}[/tex].
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real numbers are ____ integers
OPTION A: Always
OPTION B: Sometimes
OPTION C: Never
Answer:
B
Step-by-step explanation:
Given
f(x) = 3x + 10 and g(x) = x - 2, find f (g(5))
-10
23
None of these.
The value of the function f (g (5)) will be 10.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The function are,
f(x) = 3x + 10 and g(x) = x - 2
Now,
Solve the function as;
f (g (5)) = f (5 - 2)
= f (3)
= 3 × 3 + 10
= 9 + 10
= 10
Thus, The value of the function f (g (5)) will be 10.
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