Answers
Answer:
x=−5+√29 or x=−5−√29
Step
Let's solve your equation step-by-step.
x2+10x+10=14
Step 1: Subtract 14 from both sides.
x2+10x+10−14=14−14
x2+10x−4=0
For this equation: a=1, b=10, c=-4
1x2+10x+−4=0
Step 2: Use quadratic formula with a=1, b=10, c=-4.
x=
−b±√b2−4ac
2a
x=
−(10)±√(10)2−4(1)(−4)
2(1)
x=
−10±√116
2
x=−5+√29 or x=−5−√29
Related Questions
You and your friend decide to get your cars inspected. You are informed that 83% of cars pass inspection. If the event of your car's passing is independent of your friend's car. please help me with d! an explanation with steps would be nice but mandatory
Answers
Please help will give brainliest
Complete the equation describing how
x and y are related.
x
0
1
2
3
4
5
у
1
-1
-3
-5
-7
-9
y = [ ? ]x + []
Enter the answer that belongs in [?].
Answers
Answer:
y=-2x+1
Step-by-step explanation:
The slope of the line is - 2. The y intercept is 1. Hence the equation is y=-2x+1
My father eats 125 g of chocolate a day. How many grams will he eat in two weeks?
Answers
125 x 14 (Two weeks) = 1,750 g
it’s common sense
∫∫(x+y)dxdy ,d là miền giới hạn bởi x²+y²=1
Answers
It looks like you want to compute the double integral
[tex]\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy[/tex]
over the region D with the unit circle x ² + y ² = 1 as its boundary.
Convert to polar coordinates, in which D is given by the set
D = {(r, θ) : 0 ≤ r ≤ 1 and 0 ≤ θ ≤ 2π}
and
x = r cos(θ)
y = r sin(θ)
dx dy = r dr dθ
Then the integral is
[tex]\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}[/tex]
7x2 - 4x +10+ 3x2 – 8
Answers
7x^2 - 4x + 10 + 3x^2 - 8
Re grouping the variables,
7x^2 + 3x^2 - 4x + 10 - 8
10x^2 - 4x + 2
The above would be the answer if the question was 7x^2 - 4x +10 +3x^2 - 8
Solve for x, Correct to one decimal place where 0°<x<90°
Sin2x=0,291
Answers
Answer:
Step-by-step explanation:
Sin2x=0,291
Sin2x = 2Sinx * CosxDivide and check by multiplying the quotation by the divisor 8m^4+12m^3 over 4m
Answers
Answer:
2m^3 + 3m^2
Step-by-step explanation:
8m^4+12m^3
---------------------
4m
2m^3 + 3m^2
Check
4m(2m^3+3m^2)
8m^4 + 12 m^3
Number A3 part 2 show that x is sufficiently small for x⁴
Answers
Evaluate:
[tex]{ \int \limits^\pi_{ \frac{1}{4}\pi}{ {e {}^{2 \sigma} (\sqrt{1 - { \sigma}^{2} } ) d \sigma}}}[/tex]
Answers
Answer:
hope this answer helps.
Two-thirds of the difference of 4 and .x.
Answers
Answer:
DIFFERENCE OF 4 AND x => 4 - x
two thirds so final expression is
[tex]\frac{2}{3} (4-x)[/tex]
One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers. The value of the first number is _____.
Answers
Answer:
I think the value of first number is 30.
The length of a rectangle is four more than three times the width. If the perimeter of this rectangle is at least 70 square centimeters. Write an inequality that can be solved to find the width of the rectangle
Answers
Answer:
Step-by-step explanation:
Let L represent the length of the triangle.
Let W represent the width of the triangle.
The length of a rectangle is four more than three times the width. This means that
L = 3W + 4
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of this rectangle is at least 70 square centimeters, an inequality that can be solved to find the width of the rectangle is
2(L + W) ≥ 70
L + W ≥ 70/2
L + W ≥ 35
Answer:
6w +8 ≥70
Step-by-step explanation:
Let w be the width
The length is then 3w+4 ("the length is 4 more than 3 times the width")
Since a rectangle has opposite sides equal, the perimeter would be 2(l+w) or 2(w+3w+4) which would be 6w +8. If the perimeter is at least 70, that is, 70 or more, the inequality would be
6w + 8 ≥ 70.
The units, however, would not be SQUARE centimeters, just centimeters. If the question were asking for area, the units would be square units, but since perimeter is a linear measurement, the units would have to be linear.
¿How you solve?
A pool is 8 m long, 6 m wide and 1.5 m deep. It is painted at $6 per square meter.
a) How much will it cost to paint it?
b) How many litres of water will be needed to fill it?
Answers
9514 1404 393
Answer:
a) $540 cost to paint
b) 72000 liters to fill
Step-by-step explanation:
Relevant formulas are ...
P = 2(L +W) . . . . perimeter of a rectangle of length L and width W
A = LW . . . . . . area of a rectangle of length L and width W
V = LWH . . . volume of a cuboid of length L, width W, and height H
__
a) The total painted area is the area of the pool walls plus the area of the pool bottom. The wall area is the product of pool perimeter and wall height. The bottom area is the product of pool length and width.
A = PH + LW = 2(L +W)H +LW
A = 2(8 m +6 m)(1.5 m) + (8 m)(6 m) = 42 m² +48 m² = 90 m²
At $6 per square meter, the cost of painting the pool is ...
($6 /m²)(90 m²) = $540 . . . . cost to paint the pool
__
b) The volume in liters is best figured using the dimensions in decimeters.
V = (80 dm)(60 dm)(15 dm) = 72000 dm³ = 72000 L
72000 liters will be needed to fill the pool.
Zoe walked 9 miles in 6 hours. What was her walking rate in miles per hour? Express your answer in simplest form.
Answers
Answer: 1 1/2miles/h or 1.5miles/h
Step-by-step explanation:
Total miles walked by zoe in 6 hours = 9miles
Her walking rate = Distance/Time
= 9/6
= 3/2
= 1 1/2
Therefore her walk rate is 1 1/2miles/h or 1.5miles/h
Must click thanks and mark brainliest
y power of 2 +9y+ 18
Answers
Answer:
(y+6)(y+3)
Step-by-step explanation:
[tex] {y}^{2} + 6y + 18 \\ {y}^{2} + 6y + 3y + 18 \\ y(y + 6) + 3(y + 6) \\ (y + 6)(y + 3)[/tex]
Answer:
With giving this answer I'm assuming you are factoring the equation: (y+6) · (y+3)
Step-by-step explanation:
[tex]y^{2}[/tex] + 9y + 18
So we can factor this equation write 9y as a sum of two numbers by simply finding two numbers that add up to 9 and multiply to 18 those numbers are 6 and 3
[tex]y^{2}[/tex] + 6y + 3y + 18
Factor: y(y + 6) + 3(y + 6)
Combine like terms: (y + 3) * (y + 6)
Round 573.073 to the greatest place
Answers
Answer:
574
Step-by-step explanation:
To round a two-digit number to the nearest ten, simply increase it or decrease it to the nearest number that ends in 0: When a number ends in 1, 2, 3, or 4, bring it down; in other words, keep the tens digit the same and turn the ones digit into a 0
Hope this helps <3
Evaluate the expression when a= 2 and c= -7. C-4a answer
Answers
Answer:
-15
Step-by-step explanation:
Let a = 2 and c = -7.
[tex]c-4a\\(-7)-4(2)\\-7-8\\-15[/tex]
we know that the value of a is 2 and c is -7
Expression-
c-4a
= (-7)-4×2
= (-7)-8
= -15
~Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days
a. write an expression for the population of fruit flies Lavania observed after 6 days
b. find the population of fruit flies Lavania observed after 6 days
Answers
Answer:
A. 20•5+9
B.109 flies
What is the equation of the sinusoid?
Answers
Answer:
Hello,
Answer A
Step-by-step explanation:
if x=0 then sin(2*0)=sin(0)=0
if x= π/4 then sin(π/2)=1
if x= π/2 then sin(π)=0
The equation of the sinusoid will be y=Sin(2x)
What is an equation?It is defined as the relation between two variables, for a sinusoidal wave the equation will be in the form of Sin or Cos.
if x=0 then sin(2*0)=sin(0)=0
if x= π/4 then sin(π/2)=1
if x= π/2 then sin(π)=0
Hence the equation of the sinusoid will be y=Sin(2x)
To know more about equations follow
https://brainly.com/question/2972832
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Which of the following sets are equal to {x|x < 9 and x> 2}
{3,4,5,6,7,8}
{2,3,4,5,6,7,8,9}
{}
{2,3,4,5,6,7}
Answers
Answer:
{3, 4, 5, 6, 7, 8}Step-by-step explanation:
{x|x < 9 and x > 2}= {3, 4, 5, 6, 7, 8}[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Which term best describes a figure formed by three segments connecting three non Collin ear points
Answers
Answer:
Triangle
Step-by-step explanation:
What is the inverse of the function a(x)=1/x-2
Answers
Answer:
x = 1/x - 2
Step-by-step explanation:
Instructions: Given the figure, what is the angle of rotational
symmetry?
Answers
Answer:
90 degrees
Step-by-step explanation:
the right angles in the top right and bottom left mean its a square
Regina has 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go in each bag?
Answers
Answer:
(3 × 25)/5 marbles can go in each bag
Explanation:
Number of bags Regina has = 3
Number of marbles in each bag = 25
So, total number of marbles = 3 × 25
Number of marbles in each bag, if divided equally into 5 bags = (3 × 25)/5
Further:
Solving the expression,
(3 × 25)/5
= 75/5
= 15
So, the each bag has 15 marbles if they are equally divided into 5 bags.
Answer:
(25 x 3) / 5
Step-by-step explanation:
you have to do 25 x 3 to get the total amount of marbles. Then you have to divide that by the amount of bags.
Circled one I need help with thank you!!
Answers
Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
Hope it helps you... pls mark brainliest if it helped you.
Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0[tex]\leq[/tex] x<2[tex]\pi[/tex]
Answers
9514 1404 393
Answer:
x = π
Step-by-step explanation:
You want f(g(x)) = g(f(x)):
3 +cos(2x) = 2(3 +cos(x))
cos(2x) -2cos(x) = 3 . . . . . . . rearrange
2cos(x)²-1 -2cos(x) = 3 . . . . . use an identity for cos(2x)
2(c² -c -2) = 0 . . . . . . . . . . . . substitute c = cos(x)
(c -2)(c +1) = 0 . . . . . . . . . . . factor
c = 2 (not possible)
c = -1 = cos(x) . . . . . true for x = π
The value of x that makes f(g(x)) = g(f(x)) is x = π.
_____
Additional comment
The substitution c=cos(x) just makes the equation easier to write and the form of it easier to see. There is really no other reason for making any sort of substitution. In the end, the equation is quadratic in cos(x), so is solved by any of the usual methods of solving quadratics.
please solve asap thanks
Answers
[tex]\\ \sf\longmapsto \dfrac{r}{11}+3+r[/tex]
Put values[tex]\\ \sf\longmapsto \dfrac{22}{11}+3+22[/tex]
[tex]\\ \sf\longmapsto 2+3+22[/tex]
[tex]\\ \sf\longmapsto 22+5[/tex]
[tex]\\ \sf\longmapsto 27[/tex]
9.) Ezri earns $10 per day plus $25 for every lawn she mows. How many lawns does she need to mow today to earn $135? First, write the equation that fits this model. Let x be the amount of yards she mows. Hurry please
Answers
Answer:
5 lawns
Step-by-step explanation:
Firstly, the equation is 25x + 10 = 135
Ezri makes $25 for every lawn she mows (25x) and has an automatic $10 per day (10). In order to make $135 we take what she makes each day and set it equal to 135.
To solve, we subtract 10 from both sides to create 25x = 125. We then divide 25 from both sides to get x=5. This means that Ezri needs to mow 5 lawns in order to make $135.
I hope this is helpful to you!
**To anyone out there seeing this - let me know if you think I made a mistake and I will fix it.**
If you roll 2 dice, what is the probability the sum is a 4, 7 or 10?
Answers
Answer:
4=3
7=6
10=3
Step-by-step explanation:
P4= (3,1), (1,3), (2,2)
P7= (6,1), (4,3), (5,2), (3,4), (2,5), (1,6)
P10= (5,5), ( 6,4), (4,6)
Last year at a certain high school, there were 56 boys on the honor roll and 150 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 12%. By what percentage did the total number of students on the honor roll decrease?
Answers
Answer:
15.534% decrease
Step-by-step explanation:
Find the new number of boys and girls on the honor roll:
56(0.75) = 42 boys
150(0.88) = 132 girls
Find the new total number of students on the honor roll:
42 + 132 = 174
Find the percent decrease by dividing the difference in the number of students by the original number.
There were originally 206 total students on the honor roll. Find the difference:
206 - 174 = 32
Divide this by the original amount:
32/206
= 0.15534
So, the number of students on the honor roll decreased by approximately 15.534%
