[tex]2x {}^{2} - x - 4[/tex]
[tex]x = \frac{ - ( - 1) + \sqrt{1 - 4(2)( - 4)} }{2(2)} = \frac{1 + \sqrt{33} }{4} [/tex]
[tex]x = \frac{1 - \sqrt{33} }{4} [/tex]
[tex](x - \frac{1 + \sqrt{33} }{4} )(x - \frac{1 - \sqrt{33} }{4} )[/tex]
[tex](4x - 1 - \sqrt{33} )(4x - 1 + \sqrt{33} )[/tex]
Help picture below problem 14
Answer:
c is the answer
DO MARK BRAINLIEST
the ratio between two no is 2:3 . if the consequent is 24 the antecendent is
antecedent : 16
ratio: 2 : 3
=========
antecedent : 2
consequent : 3
=============
[tex]\rightarrow \sf \dfrac{2}{3}=\dfrac{x}{24}[/tex] [ x is antecedent ]
[tex]\rightarrow \sf 2(24)=3(x)[/tex]
[tex]\rightarrow \sf 48=3(x)[/tex]
[tex]\rightarrow \sf x= 16[/tex]
Additional information:
In the ratio, a : b Here the "antecedent is a" and "consequent is b"
Learn more: brainly.com/question/23948357Answer both Question 11 and 12. I will make Brainelist + 50 points
Answer:
#11. i) 5, ii) 6, iii) - 4, iv) 6#12- see belowStep-by-step explanation:
#11Given equation for sum of the first n terms
[tex]S_n=7n-2n^2[/tex]Using the equation solve the following
i)The first term [tex]t_1[/tex], is same as the sum of the first 1 term, so n = 1
[tex]t_1=S_1=7(1)-2(1)^2=7-2=5[/tex]ii)Sum of the first 2 terms, when n = 2
[tex]S_2=7(2)-2(2)^2=14-8=6[/tex]iii)Common difference is the difference between two consequitive terms.
First, find the second term:
[tex]t_2=S_2-t_1=6-5=1[/tex]Now find the difference between the first two terms:
[tex]d=t_2-t_1=1-5=-4[/tex]iv)We need to find such n that [tex]S_n[/tex] = - 30
[tex]7n - 2n^2=-30[/tex][tex]2n^2 - 7n-30=0[/tex][tex]2n^2-12n+5n-30=0[/tex][tex]2n(n-6)+5(n-6)=0[/tex][tex](n-6)(2n+5)=0[/tex][tex]n=6[/tex] is the only positive rootSo the answer is 6
#12Simplifying in steps as below
a) i)[tex]\dfrac{5}{y-3} +\dfrac{2}{3-y}=[/tex][tex]\dfrac{5}{y-3}-\dfrac{2}{y-3}=[/tex][tex]\dfrac{5-2}{y-3}=[/tex][tex]\dfrac{3}{y-3}[/tex]ii)[tex]\cfrac{1}{m+3} +\cfrac{2m}{m^2-9} =[/tex][tex]\cfrac{1}{m+3} +\cfrac{2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{m-3}{(m-3)(m+3)}+\cfrac{2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{m-3+2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{3m-3}{(m-3)(m+3)}[/tex]Please answer this relatively quickly, I'm not in very much of a rush but would like to get this done.
Answer:
x=23
Step-by-step explanation:
2x-6/4 = 10
2x-6 = 10(4)
2x-6 = 40
2x = 40+6
2x = 46
x = 46/2
x = 23
Answer quickly please !!
Answer: 65 degrees
Using the property of vertical angles, the measurement of angle x is going to be 65 degrees.
Single angle x is directly opposite of the 65° angle given, we can figure out what angle x will be as they will be congruent.
By using the Vertical Angle Theorem, we can say
--> x = 65
Definition of Vertical Angle Theorem: states that the opposite (vertical) angles of two intersecting lines are congruent.
At his son's birth, a man invested $2,000 in savings at 6% for his son's college education.
Approximately how much, to the nearest dollar, will be available in 19 years? (Do not use comma placeholder in response.)
Rounded to the nearest year, approximately how long will it take for the man’s investment to double?
now, this is assuming the 6% is at simple interest rate.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &19 \end{cases} \\\\\\ A=2000[1+(0.06)(19)]\implies A=2000(1.54)\implies A=3080 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4000\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years \end{cases} \\\\\\ 4000=2000[1+(0.06)(t)]\implies \cfrac{4000}{2000}=1.06t \\\\\\ 2=1.06t\implies \cfrac{2}{1.06}=t\implies 1.89\approx t\implies \stackrel{\textit{rounded up}}{2\approx t}[/tex]
Answer:
value in 19 years: $6051
years to double: 12
see the picture below and answer for 50 points and brainliest
Answer:
C. 27.3%
Step-by-step explanation:
The total number of people who ordered a sundae is 22.
The number of those who got crushed candy is 6.
To find the percentage, divide the value (6) by the total value (22), and then multiply it by 100.
Thus, 6 is approximately 27.3% of 22.
how to set up definite integral
Answer:
Step-by-step explanation:
First, determine where the quantity inside the absolute value bars is negative and where it is positive for example, So that's 6 times 8 minus 6 times negative 1. Okay and so this will be 48. Minus negative 6 which is 48 plus 6 which is 54 which is the answer.
How do you do this? Because I don’t get it
Answer:
5,-17
6,-21
Step-by-step explanation:
When the input goes up by 1 the output goes up by negative 4 each time
please help: perimeter of polygon ABCDEF
Answer:
Step-by-step explanation:
The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 7 millimeters.
Recall the formulas V = B h and V = four-thirds pi r cubed
Answer:
351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.
Step-by-step explanation:
Volume Cylinder = 3.14(16)(7) = 351.68
Volume Half sphere = 2/3(3.14)(4) = 8 23/75
If you want both of them together just add up the two numbers.
Answer:
351.68 millimeters cylinder
8 23/75 millimeters half circle
Step-by-step explanation:
Una ayuda porfavor, lo necesito urgente, es algebra
Answer:
yes
Step-by-step explanation:
yessir I was at the game was going to the game was going to the game was good to go to the game was going to the game
Six times a number increased by 4 is no less than 50.
Which inequality represents this statement?
1: 6x+4≤50
2: 6x+4<50
3: 6x+4≥50
4: 6x+4>50
Answer:
3.
Step-by-step explanation:
For this question, you just have to pick apart what "no less than" means. If I say I can have no less than 2 apples to eat, that's me saying that that's the minimum number I can have, but 2 apples is also still fine. In this case, that minimum is 50 but we can still have over 50. So, 6x+4 can be greater than or equal to 50.
The cost of 3 scarves is $71.25. What is the unit price?
The unit price is $
per scarf.
Answer:
unit price= $23.75
Step-by-step explanation:
$71.25/ 3
unit price means the price of 1
what is 1/4 - 41 1/4 + 3
Answer:
-38
Step-by-step explanation:
i hope this helps you
good luck on your quiz or lesson!
Answer:
-38
Step-by-step explanation:
[tex]\frac{1}{4} = 0.25[/tex]
[tex]\frac{1}{4} -41\frac{1}{4} +3[/tex]
[tex]0.25-41.25+3[/tex]
[tex]-41+3[/tex]
[tex]-38[/tex]
Which expression is three less than the product of a number and two,increased by five
Answer:
(2x+5)-3
Step-by-step explanation:
In a simple economy (assume there are no taxes, thus, Y is disposable income), the consumption function is:
C = 200+ 0.80Y
00
The current level of real GDP is $4000.
At this level of real GDP, consumption will be $, and savings will be $1. If GDP were to increase by $1000, consumption would increase by $(Round your
responses to the nearest dollar.)
Using linear function concepts, it is found that consumption would increase by $800.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is given by:
C = 200 + 0.8Y.
Which means that the slope is of m = 0.8 per unit of Y.
For 1000 units:
0.8 x 1000 = 800.
Consumption would increase by $800.
More can be learned about linear function concepts at https://brainly.com/question/24808124
Factor completely 4a^2-b^2-2a+b GUYS HELP THERE ARENT ANY CORRECT ANSWERS ON BRAINLY URGENT
Answer:
(2a-b)(2a+b-1)
Step-by-step explanation:
The question is in the screenshot!
Answer:
5/2
Step-by-step explanation:
Phase shift refers to the sin graph movement left or right.
We would have to set x to 1, so factor out the 2.
(2x-5)-> 2(x-5/2)
From this, the phase shift would be 5/2 to the right.
100 divided by 35,513.22
Answer:
0.002816 or 0.003
Step-by-step explanation:
Be sure to use a calculator to double check the answer
Hope this helps!
You need to purchase supplies for the trip. You have
$1000 to spend.
Oxen: $40 each
Food: $0.20 per lb
Clothing: $10 per set.
Matt also charges 6% tax
Purchase at least 2 oxen,
500lbs of food,
and 5 sets of clothing.
You may want to purchase more.
Select the amount of items and find the total cost including tax.
Answer:
I'd say 955$ or so
Step-by-step explanation:
can someone help me with this math problem please
Answer: A (-7,-4)
Step-by-step explanation:
Took the same test
Find the length of AB.
Answer:
6.286
Step-by-step explanation:
♢C=⊙/360x 22/7x D
=45/360x22/7x16
=6.286
A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.5 yards.
What is the surface area of the actual ramp, including the underside?
Enter your answer as a decimal in the box.
yd²
Right triangular prism. Each base is a triangle whose legs are 13 in, 13 in, and 24 in. The height of the triangles is 5 in. The prism is oriented so that the side labeled 24 in is on the bottom. The distance between the bases is labeled 12 in.
Answer:
The answer is 7.2
The surface area of the actual ramp, including the underside is 16.8 ft²
H1 = 1.2 feet (height of the actual ramp)
and, H2 = 6 cm (height of the model)
The scale factor (k) is:
k = 1.2 feet / 6 cm
k = 0.2 ft/cm
The actual measurements would be:
16cm = 16 cm x 0.2 ft/cm = 3.2 ft
and, 9 cm = 9 cm x 0.2 ft/cm = 1.8 ft,
and, 10 cm = 10 cm x 0.2 ft/cm = 2 ft,
So, the surface area is
Area = 2(0.5 x 3.2 ft x 1.2 ft) + 2(2 ft x 1.8 ft) + (1.8 ft x 3.2 ft)
Area = 16.8 ft²
Hence, the surface area of the actual ramp is 16.8 ft²
Learn more about surface areas here:
brainly.com/question/27024066
#SPJ2
Create the equation of a circle that has a center at (1,3) and a radius of 4 units.
The equation of the circle centered at (1, 3) with a radius of 4 units is:
(x - 1)^2 + (y - 3)^2 = 16
How to write the equation of a circle?For a circle with the center on the point (a, b) and radius R, the equation is:
(x- a)^2 + (y - b)^2 = R^2
In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.
(x - 1)^2 + (y - 3)^2 = 4^2
(x - 1)^2 + (y - 3)^2 = 16
If you want to learn more about circles, you can read:
https://brainly.com/question/14283575
the process of splitting a numbers into equal parts or groups
Answer:
Division
Step-by-step explanation:
Dictionary Definition:
the action of separating something into parts or the process of being separated.
Hope that helps
Help picture below problem 4
Answer:
Step-by-step explanation:
Line segments: MN , NO , MO
Line segment has beginning and ending point
can someone pls help me with this. WILL MARK BRAINLIEST
Answer:
I would say B. 6 inches, 8 inches, 10 inches.
Step-by-step explanation:
They are all 2 times difference.
3 · 2 = 6
4 · 2 = 8
5 · 2 = 10
If 3 sweaters cost $25.95, how much would 6 sweaters cost?
Answer:
If 3 sweaters cost $25.95, then 6 sweaters must cost $95.69.
Step-by-step explanation:
Im sorry if this answer isnt correct.
what is is the volume of a box with 3 inches long 1 inch wide and 5/3 inch tall
Answer:
5 inches cubed
Step-by-step explanation:
Use the formula for volume: V = length * width * height, and plug in the values. V = 1 * 3 * 5/3, which equals 5.
Hopefully this helps - let me know if you have any questions!