Answer:
Step-by-step explanation:
It seems to me that you are being asked for what values of x does f(x) + g(x) = 0. Which means that you need to add them together, combine like terms if possible, and then factor. Adding them together gives you
[tex]x^2+6x+4=0[/tex] This doesn't factor to integer solutions, so we will use the quadratic formula to factor it. The quadratic formula is as follows:
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] For us, a = 1, b = 6, c = 4. Filling in accordingly:
[tex]x=\frac{-6+-\sqrt{36-4(1)(4)} }{2}[/tex] and simplifying a bit:
[tex]x=\frac{-6+-\sqrt{20} }{2}[/tex] The square root of 20 can be simplified down to 2√5, so plugging that in gives us:
[tex]x=\frac{-6+-2\sqrt{5} }{2}[/tex] and then reducing everything down to its lowest terms:
x = -3 ± √5. Those are irrational numbers but they are the numbers that make that addition o to 0.
What is the solution to –2(8x – 4) < 2x + 5? x > x is greater than StartFraction 1 Over 6 EndFraction. x < x is less than StartFraction 1 Over 6 EndFraction. x > 6 x < 6
Answer:
x > 1/6.
Step-by-step explanation:
–2(8x – 4) < 2x + 5
-16x + 8 < 2x + 5
-18x < -3
x > 1/6.
The solution to the inequality expression is x > 1/6
Given the inequality expression
–2(8x – 4) < 2x + 5
Expand the parenthesis
-16x + 8 < 2x + 5
Subtract 5 from both sides
-16x + 8 - 5 < 2x + 5 - 5
-16x + 3 < 2x
-16x - 2x < -3
-18x < -3
Divide both sides by -18
-18x/-18 > -3/-18
x > 1/6
Hence the solution to the inequality expression is x > 1/6
Learn more on inequality here: https://brainly.com/question/24372553
Example 1. An iPod costs $176. It is on sale for 20% off and will be taxed at a rate of 7% on the sale price. What will be the total cost of the iPod?
Which is a statistical question?
Will give BRAINLIEST
Answer:
I think it's either the last or the second one.
Might be wrong but hope this helped!
Statistical question is "How many pens are inside each of my classmates desks?"
What is statistics?Statistics is a branch of mathematics concerned with the study of collecting, analyzing, interpreting, presenting, and organizing data in specific ways. Statistics is defined as the process of collecting data, classifying data, presenting data in a way that makes it easy to interpret, and analyzing data. Statistics is also called drawing conclusions from sample data collected through surveys and experiments.
Given questions,
How many touchdowns did you score in yesterday's game?
Above question requires just one value, not collection of data, it is not an statistical question.
How many balloons came in the package that you bought?
Above question requires just one value, not collection of data, it is not an statistical question.
How old was George Washington, when he became president?
Above question requires just one value, not collection of data, it is not an statistical question.
How many pens are inside each of my classmates desks?
Above question requires collection of data of pens in each desk, it is an statistical question.
Hence, "How many pens are inside each of my classmates desks?" is an statistical question.
Learn more about statistics here:
https://brainly.com/question/29093686
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Simplify the following expression.
2 + [(15 + 3) × 2]
Answer:
38
Step-by-step explanation:
2 + ( (15 + 3) * 2)
2 + (18 * 2)
2 + (36)
= 38
Answer:
38
Step-by-step explanation:
2 + [(15 + 3) × 2]
= 2 + [ 18 × 2]
= 2 + 36
= 38
Does anyone know how to solve this?
Given :
A right angle triangle ABC .
To Find :
The perimeter of ABC .
Solution :
Since, triangle ABC is right angled and angle ∠ABC is 46° .
So, AC = AB cos 46° = 7.64 units.
Also, CB = AB sin 46° = 7.91 units.
Therefore, the perimeter of ΔABC is :
P = 11 + 7.64 + 7.91 units
P = 26.55 units
Hence, this is the required solution.
A pair of shoes that normally cost $24 is 25% off what is the selling price of the shoes?
Answer:
18 dollars
Step-by-step explanation:
I'm right just trust
Step-by-step explanation:
Hey there!
According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).
Also, there is 25% off. (i.e discount)
Now,
SP (selling price) = MP - discount% of MP
or, SP = 24 - 25% of 24
[tex]sp = 24 - \frac{25}{1 00} \times 24[/tex]
or, SP= 24 - 6
Therefore, the SP of the shoes is $18.
Hope it helps!
Sally invests £8600 at a simple interest rate of 6% per year.
Work out the value of the investment after 3 years.
Answer:
a =10148
Step-by-step explanation:
A = P (1 + rt)
a= 8600(1+0.06*3)
a = 10148
Carmen creates the ratio table below based on one 8-ounce serving of juice.
Calories in Juice
Servings of juice
Total calories
1
130
2
260
3
390
4
?
How many total calories will 4 servings of juice contain?
O 420
0 520
0 650
0 780
activity
K
Answer:
the appropriate answer for this question is 520 because 130*1=130, 130*2=260, 130*3=390.
So, if you multiple 130 by 4 than the answer is 520 so, I think 520 is the appropriate answer
Answer:
basically B.
Step-by-step explanation:
the other dude used to much explanation
TRUE or FALSE
Based on the information marked in the diagram, ∆BCD and ∆EFG must be congruent.
Answer:
True
Step-by-step explanation:
~Is SAA side-angle-angle
Ed is ordering magazines online. Each magazine costs $6. Shipping will cost an additional $4 for the entire order. Write an inequality that can be used to find the number of magazines, n , Ed can order if he spends no more than $42. What is the greatest number of magazines Ed can order? Explain your answer.
Answer:
If he spent no more than $42 dollars and the shipping is 6 in addition to the 4 dollars. I think he may be able to get 20 magazines.
12 is what percent of 14?
Answer:
12 is 85.714285714286% of 14.
Mr. Peterson graded 117 tests in 3 hours. How many tests can he grade in 5 hours?
Answer:
195
Step-by-step explanation:
create a proportion: # tests/time = # tests/time
let 't' = # tests graded
117/3 = t/5
cross-multiply to get:
3t = 585
t = 585/3 which equals 195
volume of cylinder with a base radius of 5 and height of 3
Answer:
235.5.
Step-by-step explanation:
VOLUME: THE AMOUNT OF SPACE OCCUPIED BY A 3D OBJECT.
The formula for volume of a cylinder is:
[tex]pi*r^2*h (3.14 * radius *radius * height)[/tex]
The radius of this cylinder is 5 and the height is 3.
Now, we can plug the numbers in the formula.
SOLVE:
[tex]pi *5^2*3(3.14*5*5*3)=235.5.[/tex]
The product of the equation is 235.5.
I, therefore, believe the volume of this cylinder is 235.5.
Where p and q are statements, "p and q" is false if p is false.
Answer:
transitive property
Step-by-step explanation:
Answer:
I think it would be always
Help me plzzzz I don’t know what I’m doing it’ll mean a lot
Given:
[tex]\angle ABC\cong \angle D EF[/tex]
[tex]\angle GHI\cong \angle DE F[/tex]
To prove:
[tex]\angle ABC\cong \angle GHI[/tex]
Solution:
The two common proof is:
Statements Reasons
1. [tex]\angle ABC\cong \angle DE F[/tex] 1. Given
2. [tex]\angle GHI\cong \angle D EF[/tex] 2. Given
3. [tex]\angle ABC\cong \angle GHI[/tex] 3. Transitive property of congruence.
Hence proved.
Change 5x - 6y =3 into a slope-intercept form.
A. Y = -5/6x + 1/2
B. 6y = 5x + 3
C. Y =5/6x - 1/2
D. X = 6/5y + 3/5
Solve the right triangle. Round decimal answers to the nearest tenth.
In △ABC,b≈
, m∠A≈
∘, and m∠B≈
∘.
Answer:
See answers below
Step-by-step explanation:
Find the diagram attached
To get AB, use the pythagoras theorem;
AB² = 12² + 9²
AB² = 144 + 81
AB² = 225
AB = √225
AB = 15
Since
Hypotenuse = AB
sin <A = BC/AB
Sin <A = 12/15
Sin <A = 4/5
<A = arcsin(0.8)
<A = 53.13degrees
Sin <B = AC/AB
Sin<B = 9/15
Sin <B = 0.6
<B = arcsin(0.6)
<B = 36.87degrees
help please if you can
Answer:
Ice, ig.
It is made up of the remaining part of the solar system, after all.
Hope it helps you
Please mark as brainliest
please help!! I'm really confused
Answer: im on this one too
Step-by-step explanation:
Express the following division in the form of a + bi: (-9 - 8i)/(7 + 2i)
Answer:
-79/53 - 38i/53
Step-by-step explanation:
Which statement is true? *
1. 8 is a factor of 12
2. The only factor of prime numbers is 1
3. 2 is a factor of 3960
4. 26 is a factor of 13
25 points for an answer let's goo
Answer:
The Prime Factorization of 3960 is 23 × 32 × 51 × 111.
Step-by-step explanation:
Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)
Answer:
D
Step-by-step explanation:
In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.
Square roots need answer asap. NO LINKS
Answer:
3) 6.16
4) -11
5)1.73
6) -3.16
I hope I'm right and if not then I'm sorry :/
Answer:
3,6.16441400297
4,10.9544512
5,1.73205080757
6,3.16227766
Solve for 44.
61°
44 = [?]
O
44/42
58°
Answer:
answer below
Step-by-step explanation:
angles of a Tringle Addup to 180
let <2=x
61+58+x=180
x=180-61-58
x= 61°
now we know that the triangle was an isocelies triangle
<2=61°
But <2 and <4are on a straight line
therefore the sum of the angles are 180
<2+<4=180°
61°+<4=180°
<4=180°-61°
<4=119°
Convert to decimals. List answers starting from the top.
41 %
1.836
6/50
Answer:
0.41
1.836 (since it is already a decimal)
0.12
Step-by-step explanation:
Answer:
41% = 0.41
1.836 = already a decimal
6/50 = 0.12
help me solve this and thanks !
Answer:
Step-by-step explanation:
the interest for 3 years on Rs2400is Rs576 find the interest on Rs 4200 for 2 yrs at the same rate of interest
Answer:
Solution given:
time [t]=3years
principal [p]=Rs2400
rate[r]=?
simple interest [S.I]=Rs 576
we have
S.I=ptr/100
576=2400*3*r/100
576=72r
r=576/72
r=8%
now
principal [p]=Rs 4200
time[t]=2years
rate[r]=8%
simple interest [S.I]=?
we have
S.I= ptr/100=4200*2*8/100=Rs 672
The required interest is Rs 672.
Find the value of x. Round your answer to the nearest tenth of a unit.
Answer:
Sin31°= 11/x
x = 11/Sin31
x= 21.4. ( Nearest tenth).
Answer:
x ≈ 21.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )
x × sin31° = 11 ( divide both sides by sin31° )
x = [tex]\frac{11}{sin31}[/tex] ≈ 21.4 ( to the nearest tenth )
f(x) = x2. What is g(x)?
Step-by-step explanation:
it A Just took the test
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NEED HELP ASAP FAST
Sherri has a drawer full of socks, all of which are identical except for the color. The drawer contains only white socks and blue socks.
Sherri determines that the probability of choosing a white pair of socks is 0.65. She states that since the drawer only has white socks and blue socks, the probability of randomly choosing a blue pair of socks must be the same as the probability of randomly choosing a white pair of socks.
Explain why Sherri's reasoning is not correct.
Determine the correct probability of randomly choosing a blue pair of socks.
Answer:
the probability is 50% or 1/2 (equally likely and equally unlikely)
That is because it does not state the amount of socks inside the draw; meaning the answer has to be theoretical.
If the probability is the same, than it has to equal to 100
so we can conclude that 1/2 of the drawer is blue socks and 1/2 is white socks.