Answers
Answer:
x^2 - 2x - 15 = 0.
Step-by-step explanation:
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0
So alpha and beta are -1 and 3.
So the roots of the required equation are 2(-1)-1 and 2(3) - 1
= -3, 5.
So the equation is
(x - 5)(x + 3) = 0
-that is x^2 - 2x - 15 = 0
Related Questions
(70 POINTS + BRAINLYIEST)
Solve Geometric Sequence:
243, ___, ___, ___, ___, ___, 1/3
Solve for middle terms + r (common ratio)
Answers
Hi! I'm happy to help!
To solve this, we first need to find our what could give us 1/3. WE realize that the sequence is descending, so we must be dividing. We can then, from here, multiply our top number by 1/3, because that is our end number, and could possibly work for our common ratio. From this, we can check if this fits in our equation. (dividing by 3)
243×1/3=81
81×1/3=27
27×1/3=9
9×1/3=3
3×1/3=1
1×1/3=1/3
We can check if this is the correct amount of numbers that would fit into the geometric sequence. Let's see if this fits in:
243, 81, 27, 9, 3, 1, 1/3
This does fit into our geometric sequence. Our middle terms are underlined. (missing numbers)
Our common ratio is the number we multiply the previous number by to get our next, so our common ratio is 1/3.
So, our geometric sequence is 243, 81, 27, 9, 3, 1, 1/3, our middle terms are 81, 27, 9, 3, and 1. Our common ratio is 1/3.
I hope this was helpful, keep learning!
Answer:
Middle terms 81, 27, 9, 3, 1 or -81, 27, -9, 3, -1Common ratio 1/3 or -1/3Step-by-step explanation:
Given:
t₁ = 243, t₇ = 1/3To find the terms in between.
Find the common ratio first:
tₙ = t₁rⁿ⁻¹1/3 = 243*r⁶r⁶ = 1/729r = [tex]\sqrt[6]{1/729}[/tex]r = ± 1/3The terms in between are:
t₂ = 243*1/3 = 81 or -81t₃ = 81*1/3 = 27 t₄ = 27*1/3 = 9 or -9t₅ = 9*1/3 = 3t₆ = 3*1/3 = 1 or -1write each fraction number as a decimal 2 1/8
Answers
Answer:
2 1/8 as a decimal is 2.125
Step-by-step explanation:
Answer:
2.125
Step-by-step explanation:
To find the decimal version of the fraction number, you need to divide 1/8, which is .125; combining that with the original whole number, you get 2.125.
Calculate the volume of the cylinder & Pie = 3.14 Zom 10cm and radius 7cm
Answers
Answer:
1538.6cm^3
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
Which value of q is a solution to this equation?
q
-- = 2
9
answers:
A: q=4
B: q=0
C: q=2
D: q=6
Answers
Simplify the radical expression.
[tex] \sqrt{40} [/tex]
Answers
Answer:
√40 = √ ( 2× 2 ×2 ×5) = 2√10
.........
What is 15 percent of 1135? Also Explain how you came up with your solution and the actions you took.
Answers
Answer:
170.25
Step-by-step explanation:
I made 15% into a decimal. The decimal, being 0.15, was multiplied to 1135 to get the answer 170.25
1135 x 0.15 = 170.25
The value of the percentage is,
→ 15 ÷ 100
→ 0.15
We have to find,
→ 15% of 1135
Let's find the solution,
→ 1135 × 0.15
→ 170.25
Hence, the answer is 170.25.
Are Quadrilaterals A and C congruent??
Answers
Answer:
It turns out that knowing all four sides of two quadrilaterals are congruent is not enough to conclude that the quadrilaterals are congruent. Unlike with triangles, some information about angles is needed in order to conclude that two quadrilaterals are congruent. I will give you the video that might be helpful. I dont own the video but i hope it helps you . <3
Step-by-step explanation:
https://www.khanacademy.org/math/cc-fifth-grade-math/properties-of-shapes/imp-quadrilaterals-2/v/quadrilateral-types-exercise
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answers
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
Answer:
Step-by-step explanation:
The American Antelope is going at a rate of 1583 meters / minute
1583 m [ 1 km / 1000 m ] = 1.583 km / minutes
In an hour, the Antelope will go 1.583 km / minute * 60 min / hour
1.583 * 60 = 94.98 km / hour
The cheetah is going 61 miles / hour * 1.6 km / mile = 97.6 km/hour
The Cheetah is not going to go hungry tonight.
At Bob's binders, a set of 3 notebooks costs $4.20. At Pam's Paper Place a set of 4 notebooks costs $5.20. What is the unit price of the notebooks at each store? Which is the better buy?
Answers
Step-by-step explanation:
At Bob's binders, the unit price = $4.20 ÷ 3
= $1.40
At Pam's Paper Place the unit price = $5.20 ÷ 4 = $1.30
the better buy is at Pam's Paper place
62.9042 to the nearest hundredth
Answers
Answer:
62.9
Step-by-step explanation:
CAN SOMEONE TAKE A QUICK LOOK AT THIS AND HELP ME OUT
Answers
Answer:
9/79/169%, 523.2, 458 (to 3sf)
Step-by-step explanation:
Example 1:
16/169×100%=9/79/169% of the students
Example 2:
87.2%×600=523.2 students
Example 3:
27.3%=125 students
100%=458 students (to 3sf)
polygons are similar find the scale factor of the smaller figure to the larger figure
Answers
Answer:
Step-by-step explanation:
Find the difference. 87,000,000,976 – 6,998,765,824
Answers
Answer:
80001235152
Step-by-step explanation:
hope this helped!
Find the height of the triangle by applying formulas for the area of a triangle and
your knowledge about triangles.
A. 5.8 mm
B. 2.0 mm
OC. 4.4 mm
D. 6.2 mm
Answers
Answer:
Step-by-step explanation:
a= 12 mm ; b = 16 mm ; c = 18 mm
s = (a + b+c)/2
[tex]=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\[/tex]
s -a = 18 - 12 = 6 mm
s -b = 18 - 16 = 2 mm
s -c = 18 - 8 = 10 mm
[tex]area = \sqrt{s(s -a)(s-b)(s-c)}[/tex]
[tex]= \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\[/tex]
[tex]\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\[/tex]
= 5.75
Height = 5.8 mm
Answer:
A. 5.8mm
Step-by-step explanation:
[tex]area \: of \: triangle = \sqrt{s(s - a) \times (s - b) \times (s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{12 + 8 + 16}{2} \\ s = 18 \\ area \: of \: triangle \: = \sqrt{18(18 - 12) \times (18 - 8) \times (18 - 16)} \\ = \sqrt{2160} \\ = 46.47 {m}^{2} \\ area \: of \: triangle \: = \frac{1}{2} \times base \times height \\ 46.47 = \frac{1}{2} \times 16 \times h \\ h = \frac{46.47}{8} \\ h = 5.8mm[/tex]
For the function f(x) = −2x − 9, identify the values of f(0), f(1/2), and f(−2)
Answers
Step-by-step explanation:
f(0)=-2(0)-9=0-9=-9
f(1/2)=-(1/2)-9=-1/2 -9=-19/2
f(-2)=-2(-2)-9=4-9=-5
Answer:
f(0) = -9f(1/2) = -10f(-2) = -5Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Question One. Identify the value of f(0)
f(x) = -2x - 9
f(0) = -2(0) - 9
f(0) = 0 - 9
f(0) = -9
Question Two. Identify the value of f(1/2)
f(x) = -2x - 9
f(1/2) = -2(1/2) - 9
f(1/2) = -1 - 9
f(1/2) = -10
Question Three. Identify the value of f(-2)
f(x) = -2x - 9
f(-2) = -2(-2) - 9
f(-2) = 4 - 9
f(-2) = -5
Hope this helps!! :)
Please let me know if you have any questions
If JL = 8x-3 and LK = 4x + 57, Find JK
Answers
JK = 12x+ 54
Answer: JK = 234
Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
PART I: Find the value of xGiven information
JL = 8x - 3
LK = 4x + 57
Given expression deducted from the given figure
JL = LK
Substitute values into the expression
8x - 3 = 4x + 57
Add 3 on both sides
8x - 3 + 3 = 4x + 57 + 3
8x = 4x + 60
Subtract 4x on both sides
8x - 4x = 4x + 60 - 4x
4x = 60
Divide 4 on both sides
4x / 4 = 60 / 4
x = 15
-------------------------------------------------------------------------------
PART II: Find the value of JKGiven information
JL = 8x - 3
LK = 4x + 57
x = 15
Given expression deducted from the segment addition postulate
JK = JL + LK
Substitute values into the expression
JK = 8x - 3 + 4x + 57
JK = 8(15) - 3 + 4(15) + 57
Simplify by multiplication
JK = 120 - 3 + 60 + 57
Simplify by simple operation (addition/subtraction)
JK = 117 + 60 + 57
JK = 177 + 57
[tex]\boxed{JK=234}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Slope-Intercept
Functions
Acellus
Find the equation to the line below.
1
Answers
Answer:
y=4x+1
Step-by-step explanation:
First the slope of the line is 4. The equation of the line is y-1=4x, y=4x+1
Tara is saving for an overseas trip. Her taxable income is usually about $20000. She estimates that she will need $5000 for the trip, so she is going to do some extra work to raise the money. How much extra will Tara need to earn in order to save the extra $5000 after tax?
Answers
An income is taxable is such income falls into a category where a proportion of the income is removed, as tax. To have an extra $5000 after tax, Tara must save $6173.
Given that:
[tex]Earnings = \$20000[/tex] --- normal earnings
[tex]Amount = \$5000[/tex] ---- the amount needed
From the complete question, the tax rate for earnings between $18201 and $37000 is 19%.
Let the additional amount be x.
So, the equation that calculates the amount needed (after tax) is:
[tex]x(1 - 19\%) = 5000[/tex]
Express as decimal
[tex]x(1 - 0.19) = 5000[/tex]
[tex]x(0.81) = 5000[/tex]
Make x the subject
[tex]x = \frac{5000}{0.81}[/tex]
[tex]x = \$6173[/tex]
Hence, she needs to make an extra of $6173 to save $5000
Read more about taxable income at:
https://brainly.com/question/17347618
1.) √12 is a natural, whole, integer, rational or irrational number
Answers
thanks
In a hotel, 40 people occupy excatly 26 rooms. Each room is occupied by either one or two people. How many rooms are occupied by exactly one person?
Answers
Explanation:
Let's say that the first 26 people will occupy each of the 26 rooms. This means that, so far, there's one person per room.
There are 40-26 = 14 people left. Let's say those 14 people occupy the first 14 rooms. This means that the first 14 rooms now have 2 people in them per room. The remaining 26-14 = 12 rooms still have one person per room.
hiiiii please help me!!!!
Answers
Answer:
-i
Step-by-step explanation:
'i' is the square root of -1, so i^2 would be -1. so now:
[tex]i^3 = (i^2)i = (-1)i = -i[/tex]
5.04 x 104 =
200.8
504
5,044
50,400
none of these
Answers
Answer:
none of these
Step-by-step explanation:
5.04*100=524.16
Answer:
none of these
Step-by-step explanation:
5.04 x 104 = 524.16
there is no option with 524.16
so none of these
If m ZABD = 83º, what are mZABC and m ZDBC?
3x+33° D
(Ex-6)°
B
mZABC = °
Answers
Answer:
∠ ABC = 48°
Step-by-step explanation:
∠ ABC + ∠ DBC = ∠ ABD , that is
6x - 6 + 3x + 8 = 83
9x + 2 = 83 ( subtract 2 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°
1. the the sum of three consecutive number is 72. find the number.
Answers
Answer:
23,24,25.
Step-by-step explanation:
Consecutive numbers are numbers following in order. I found them unconventionally by first dividing 72 by 3, which is 24. So if there were 3 24s it would make 72. 23+25 is the same sum as 24+24. Then you add in the middle number, 24 and get 72.
Answer:
The answers are 23, 24, and 25
Step-by-step explanation:
Three consecutive numbers means 3 numbers in a row. So just find three numbers that all add up to 72.
23+24+25=72
An angle measures 46° more than the measure of its complementary angle. What is the
measure of each angle?
Answers
Answer:
Angle + the Complementary angle = 90 degrees. Let x be the measure of the angle under the question. Then the measure of the Complementary angle is (x+46) degrees, and you have this equation x + (x+46) = 90, or 2x+ 46 = 90, or 2x = 90 - 46 = 44. Then x =  = 22. The given angle has the measure of 22 degrees. The complementary angle is 90-22 = 68 degrees. Check. 68 - 22 = 44 degrees. Correct !!
1.) 10 is a natural, whole, integer, rational or irrational number
Answers
Answer:
10 is whole number .......
yes ten is natural,whole, integers,rational
Step-by-step explanation:
because natural contains all numbers wiThout 0 and whole contains all numbers with 0 so 10 is both of them.Integers are the number which is not a fraction,it is a whole number.And 10 is a rational number because all integers are rational.But it is not irrational.
32600÷9330?
Please answer:(
Answers
Answer:
3.49410504
It is the answer hope it helps.
Mark me as Brainliest plz
Answer:
3.49410503751
Step-by-step explanation:
But as a smaller version it is
3.494
Which one does not belong? Explain your reasoning.
Answers
Answer:
17
Step-by-step explanation:
17 is the only prime number present.
Answer:
17 does not belong
Step-by-step explanation:
In this image (and problem), 17 is the only prime number there.
Hopefully this helped you out!
The morning temperature was at 23.5° F. Later that evening the temperature had dropped to 15.6° F. What was the change in temperature?
According to Jake the temperature had a change of -7.9° F.
Is Jake’s answer a true of false statement? Please explain your reasoning for your answer.
Answers
Answer:
Jake's answer is true; the change in temperature is -7.9° F.
Step-by-step explanation:
The change in temperature is the final value minus the initial value. Evening minus the morning.
The final value is 15.6° F, the initial value is 23.5° F.
So 15.6 - 23.5 = -7.9
Jake's answer is true.
Can somebody please help? I been struggling to answer this!
Answers
Answer:
the first option is the answer. I am sure of this
Answer:
the first option is the answer