Answer:
[tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
4x² + 10x - 1 = 0
Step 2: Identify Variables
a = 4
b = 10
c = -1
Step 3: Find roots
Substitute in variables [QF]: [tex]\displaystyle x=\frac{-10\pm\sqrt{10^2-4(4)(-1)} }{2(4)}[/tex][√Radical] Exponents: [tex]\displaystyle x=\frac{-10\pm\sqrt{100-4(4)(-1)} }{2(4)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-10\pm\sqrt{100+16}}{2(4)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{2(4)}[/tex][Fraction] Multiply: [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{8}[/tex][√Radical] Simplify: [tex]\displaystyle x=\frac{-10\pm 2\sqrt{29}}{8}[/tex][Fraction] Factor: [tex]\displaystyle x=\frac{2(-5\pm \sqrt{29})}{8}[/tex][Fraction] Simplify: [tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]if tñ=2ñ+3, find S10
Answer:
[tex]S_{10}=280[/tex]
Step-by-step explanation:
Given that,
[tex]t_n=2n+3[/tex] ...(1)
We need to find the value of [tex]S_{10}[/tex].
Put n = 1 to find the first term.
[tex]t_1=2(1)+3=5[/tex]
Put n = 2 to find the second term.
[tex]t_2=2(2)+3=7[/tex]
Put n = 3 to find the third term.
[tex]t_3=2(3)+3=9[/tex]
Put n = 10 to find the tenth term.
[tex]t_{10}=2(10)+3=23[/tex]
It means we need to find the sum of 5,7,9,.....,23.
The formula for the sum of n terms is given by :
[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]
We have, n = 10, a = 5 and [tex]a_n=23[/tex]
So,
[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]
So, the value of [tex]S_{10}[/tex] is equal to 280.
Subtract 2w + 4 from 3w + 6 please help!!
Answer:
w+10
Step-by-step explanation:
3w+6-2w+4=w+10
Answer:
Step-by-step explanation:
x subtracted from y means y-x
2w+4 subtracted from 3w+6= (3w+6)-(2w+4)
don't forgett to diestribute invisible -1
-(2w+4)=-1(2w+4)=-2w-4
so
3w+6-2w-4=
3w-2w+6-4=
1w+2=
w+2
If 176 dollars = 100 pounds and 1 pound = NRs. 119,
how much Nepali rupees can be exchanged with 132 dollar? find it
Answer:
NRs. 8925
Step-by-step explanation:
176 dollars = 100 pounds
132 dollars = ??? pounds
Using cross-multiplication, we get:
176 dollars x ??? pounds = 100 pounds x 132 dollars
??? pounds = (100 pounds x 132 dollars)/ 176 dollars
??? pounds = 75 pounds
Now, 1 pound = NRs. 119
So 75 pounds = NRs. ???
Using cross-multiplication again, we get:
1 pound x NRs. ??? = NRs. 119 x 75 pounds
NRs. ??? = (NRs. 119 x 75 pounds)/1 pound
NRs. ??? = NRs. 8925
So the answer is 8925 Nepali rupees
The Nepali rupees can be exchanged with 132 dollar should be considered as the NRs. 8925
Calculation of the amount:Since
176 dollars = 100 pounds
And, for 132 dollars = ??? pounds
So here we applied cross multiplication
176 dollars x ??? pounds = 100 pounds x 132 dollars
??? pounds = (100 pounds x 132 dollars)/ 176 dollars
??? pounds = 75 pounds
Also, 1 pound = NRs. 119
Now
1 pound x NRs. ??? = NRs. 119 x 75 pounds
NRs. ??? = (NRs. 119 x 75 pounds)/1 pound
NRs. ??? = NRs. 8925
Learn more about pound here: https://brainly.com/question/1929794
If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?
Answer:
About 3
Step-by-step explanation:
Step-by-step explanation:
10 men =4 days
8 men =x days
cross multiply
10×x=8×4=24
Can someone help me with the work please I did it I want to make sure it great please someone look at it please
Answer:
whar that so easy
Step-by-step explanation:
yes is all correct I just check it but check it on a calculator too
a florist can creat 16 bouquets of flowers during an 8-hour workday. how many bouguets can the florist creat per hour what is the unit rate
Answer:2 per hour
Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour
Answer:
A florist can create 2 bouquets of flowers per hour
Step-by-step explanation:
16/8 = 2
Please help ASAP !!
Answer: surface area is 215.27; volume is 297.1
Step-by-step explanation:
you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3
I will give brainiest to whoever answers correctly !!
Answer:
26275
Step-by-step explanation:
if simple interest its just .017*25000 which is 1 year then multiply by 3 and add to 25000
How much change should Mack get back when he uses $20.00 to pay for purchases totaling $14.35?
Answer:
5
Step-by-step explanation:
i anserwed it on the test
does anyone understand this i never get it
Answer: 18
Step-by-step explanation:
6 ÷ 2 = 3
162 ÷ 54 = 3
The constant ratio is 3
6 × 3 = 18
Hope I helped!
1.
Write the ratio 2:6 in its simplest form.
Answer:
1:3
Step-by-step explanation:
2:6 common multiple is 2 so 2:6 divide by 2 is 1:3
Answer:
1:3
Step-by-step explanation:
this is the answer understand
I will give brainliest please help
Answer:
2.5
Step-by-step explanation:
[tex] \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5[/tex]
Subtract $987.59 from $1,581.06.
The difference is?
A. $593.47
B. $603.47
C. $693.47
D. $694.47
Answer
A=1,597.06
Step-by-step explanation:
Chris need to buy 4 shirts, all costing the same amount. he uses a $25 gift card.he can spend no more than $75. write an inequality to find the possible cost for a shirt
Answer:
it would be 3
Step-by-step explanation:
Answer:
21.25 for one shirt so it 75 in all if you add all the shirts
If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.
Answer:
The answer is "3107.75".
Step-by-step explanation:
[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]
[tex]\to p(t)= 2500 (1.022)^t[/tex]
when t= 0
[tex]\to p(0) = 2500(1.022)^0[/tex]
[tex]= 2500 \times 1\\\\= \$ 2500[/tex]
When t=10
[tex]\to p(10)=2500(1.022)^{10}[/tex]
[tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]
Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical
Answer:
[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]
and,
[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]
help plz///////...............
\
Answer:
3/4
Step-by-step explanation:
any thing in the form of y=mx+x,
mx is the slope
Write an equation for the line that passes through (−10,3) and whose slope is undefined. Give an answer in standard form.
Answer:
y=-10x+3
Step-by-step explanation:
The slope is -10
Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of
k?
Answer:
k = 1
Step-by-step explanation:
Given that,
[tex]f(x) = x^3 +kx + 2[/tex]
If (x+1) is a factor of (x), we need to find the value of k.
Using remainder theorem to find it.
Put (x+1) = 0
x = -1
Put x = -1 in equation below.
[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]
So, the value of k is 1.
Someone answer this for me. I will give u branily whoever right.
Step-by-step explanation:
21x+72+105+78=360
21x=105
x=5
Let p represent "He is able" and let q represent "He will win." Translate Translate p- into a verbal sentence.
Answer:
He will is able win
Step-by-step explanation:
Answer:
he is able to win
Step-by-step explanation:
Solve for x.
3(3x+3)-5x-4= 25
Answer:
3(3x + 3) - 5x - 4 = 25
9x + 9 - 5x - 4 = 25
9x - 5x - 4 = 16
4x - 4 = 16
4x = 20
x = 5
A diagram of a new competition swimming pool is shown. If the width of the
pool is 25 meters, find the length of the actual pool. (Round to the nearest
tenth)
47m at least I think it is
The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?
Answer:
x= 2,180
x= number of adult tickets sold
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of adult tickets sold
y= number of children tickets sold
5.5x + 3.5y = 22,210
x + y = 5,100
Now, we isolate one variable in a formula and substitute its value in the other:
x= 5,100 - y
5.5*(5,100 - y) + 3.5y= 22,210
28,050 - 5.5y +3.5y = 22,210
2y= 5,840
y= 2,920
x= 5,100 - 2,920
x= 2,180
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answer:
so over alll I got 1800
Step-by-step explanation:
for number 1
my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)
what is the equation of the line passing through the point (2,-1) with a slope of -3
Note: this answer assumes that the equation of the line must be in slope-intercept form.
Answer:
[tex]y= -3x + 5[/tex]
Explanation:
When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.
The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of
[tex]y-(-1) = -3(x-(2))[/tex]
[tex]y+1 = -3(x-2)[/tex]
Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:
[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]
Therefore, [tex]y= -3x + 5[/tex] is the answer.
Alex drew the triangles shown. Which of the following correctly describes the triangles?
Answer: wheres the attachment..
Step-by-step explanation:
4x+8≥5(3-x)
solve with steps pleaseee!
Answer:
[tex]x >\ or\ =\ \frac{7}{9}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\4x+8>\ or =\ 5(3-x)\\Hence,\\We\ can\ treat\ inequality\ in\ the\ same\ way\ we\ do\ for\ solving\ equalities.\\Hence,\\4x+8>\ or\ =\ 5(3-x)\\By\ simplifying\ the\ RHS,\\4x+8 >\ or\ =\ 15-5x\\Hence,\\Adding\ (+5x)\ to\ the\ LHS\ and\ RHS,\\4x+8+(5x) >\ or\ =\ 15-5x+(5x)\\Simplifying,\\5x+4x+8 >\ or\ =\ 15+(5x-5x)\\9x+8 >\ or\ =\ 15\\Adding\ (-8)\ to\ both\ LHS\ and\ RHS,\\9x+8+(-8) >\ or\ =\ 15+(-8)\\Simplifying,\\9x+(8-8) >\ or\ =\ 7\\[/tex]
[tex]9x >\ or\ =7\\x >\ or\ =\ \frac{7}{9}[/tex]
Step-by-step explanation:
4x+8≥5(3-x)
4x+8≥15-5x
adding 5x on each term
4x+5x+8≥15-5x+5x
9x+8≥15
subtract each term by 8
9x+8-8≥15-8
9x≥7
dividing each term by 9
9x/9=7/9
x≥7/9
is your answer
slope is 2 and contains the point (5,-7)
write the equation of a line
Answer:
y = 2x - 17
Step-by-step explanation:
y = mx + b
m = 2
y = 2x + b
Plug in (5, -7) for x & y.
-7 = 2(5) + b
-7 = 10 + b
Subtract 10 from both sides.
-17 = b
y = 2x - 17
Check work.
-7 = 2(5) - 17
-7 = 10 - 17
- 7 = -7
Your answer is correct.
