Answer:
Step-by-step explanation:
8.25(g)+65=683.75
As an estimation we are told 5 miles is 8 km.
Convert 60 km to miles.
Answer:
37.5 miles
Step-by-step explanation:
We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.
[tex]60/1.6=37.5[/tex]
Hope this helped!
Answer:
96 km
Step-by-step explanation:
I try it its 96 km
Trust me
Function or not a Function?
5x-9y=17 solve for y
Answer: y=17-5x/-9
Step-by-step explanation: 5x-9y=17
-9y=17-5x
Y=17-5x/-9
You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.
pls help quickly thank you
Answer: $637
Step-by-step explanation:
A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?
Answer:
(a) Index finger
(b) Ring finger
(c) Index finger
Step-by-step explanation:
Taking thumb as standard for the question.
Thumb series 1 , 9 , 17 ,25, 33......
general term for this
a(n) = 1 + (n-1)8
= 1 + 8n -8
= 8n -7
(a) For 1 to 10
8n -7 = 10
8n = 16+1 (remainder)
so the thumb is for 9 and the next is index finger.
10th = index finger.
(b) for 1 to 100
8n - 7 = 100
8n= 107
107 = 13x 8 + 3(remainder)
so the third finger from thumb is Ring finger
100th = Ring finger
(c) 8n - 7 = 1000
8n = 1007
1007= 125x8 +7 (remainder)
so the 7th finger next to thumb is Index finger
1000th = index finger
How do I solve this please help me Im failing Algebra1
-2x+1<7
Answer:
x > -3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
-2x + 1 < 7
Step 2: Solve for x
Subtract 1 on both sides: -2x < 6Divide both sides by -2: x > -3Here we see that any value greater than -3 would work as a solution of x.
Answer:
x>-3
Step-by-step explanation:
First, isolate the variable. So, move the 1 onto the other side.
Because signs change when moved to the other side, + becomes - .
Then, subtracte. 7-1=6.
DIvide both sides by -2.
-2x/-2 is x, and 6/-2 is -3.
So, x>-3
Help I need an answer as soon as possible
Answer:
charlie is the one,im pretty sure
what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?
Answer:
The complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
Step-by-step explanation:
Considering the function
[tex]f(x)=-8x+13[/tex]
As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.
Now
As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).Putting x = -2 in f(x) to determine the range for the value x = -2
[tex]f(x)=-8x+13[/tex]
[tex]f(-2)=-8(-2)+13=16+13=39[/tex]
Putting x = 0 in f(x) determine the range for the value x = 0
[tex]f(x)=-8x+13[/tex]
[tex]f(0)=-8(0)+13=0+13=13[/tex]
Putting x = 0 in f(x) determine the range for the value x = 3
[tex]f(x)=-8x+13[/tex]
[tex]f(3)=-8(3)+13=-24+13=11[/tex]
Therefore, the complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
Sandra worked 6 hours on Wednesday, 5 hours on Thursday, and 4 hours on Friday. What is the mean number of hours she worked over the three-day period? A 2 h B 3 h C 4 h D 5 h
Answer:
The mean should be D. 5
Step-by-step explanation:
The mean means the average which in this order (4, 5, 6) The direct middle is 5, making it the average since there are only 3 numbers in the first place.
You can mark out A (2) and B (3) instantly because they are lower than any of beginning numbers, and it's not C (4) as 'mean' doesn not mean the lowest, which leaves you with D (5)
May I have brainliest please? :)
What is the solution to this system of linear equations?x + y = 4x − y = 6
Answer: its C
Step-by-step explanation: i took the test <3
Answer:
The answer is (5,-1)
Step-by-step explanation:
Dont forget to hit that Brainliest button!
solve for the variable x+9=12
Answer:
Step-by-step explanation:
subtract 9 from both sides
x=3
Answer: x = 3
Step-by-step explanation: x = 12 - 9
Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok
Answer:
4÷1/6=24
Step-by-step explanation:
You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost
Answer:
0.45 cents
Step-by-step explanation:
We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.
2.70 ÷ 6 = 0.45
Therefore each pencil costs $0.45
I hope this helps, have a great day! :)
giving brainly
what is the equation of the line in slope intercept form
Answer:
y=-4/3x-60
Step-by-step explanation:
Answer:
y=-4/3x-60
Step-by-step explanation:
The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3
A bouquet contains 6 roses and 9 daisies. This represents 75% of the flowers in the bouquet. How many total flowers are in the bouquet? this is actually confusing me please help
Answer:
20 total flowers
Step-by-step explanation:
9+6=15.
20/4=5
5*3=15
The answer is 20 total flowers.
f(x)=3x-4 and g(x) = x2 find the value of f(3)-g(2)
show all work
Answer: 1
f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5
g(x) = x² => g(2) = 2² = 4
=> f(3) - g(2) = 5 - 4 = 1
Step-by-step explanation:
If you bought a stock last year for a price of $147, and it has risen 17.9% since then, how much is the stock worth now, to the nearest cent
Answer:
This is an percentage question, meaning you have to calculate the percentage rise.
1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])
2) 26.3 is the answer
Hope it helps! :D
Which system is equivalent to StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout
Answer:
second option :)
Step-by-step explanation:
Answer:
B.
StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout
Step-by-step explanation:
what is 2 1/9 x 1 1/2
Answer:
3.16
Step-by-step explanation:
Hope this helps!
PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent. And thank you if you answer this I really need the answer.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
Can 4 24/35 be simplified? Please answer right away! Need an answer right away!
Answer:
no
Step-by-step explanation:
HELP IT'S URGENT.
Please show workings.
No 4 (see image)
Answer:
(i) (b² - 2ac)/c²(ii) (3abc - b³)/a³Step-by-step explanation:
α and β are the roots of the equation:
ax² + bx + c = 0Sum of the roots is:
α + b = -b/aProduct of the roots is:
αβ = c/aSolving the following expressions:
(i)
1/α² + 1/β² =(α² + β²) / α²β² =((α + β)² - 2αβ) / (αβ)² = ((-b/a)² - 2c/a) / (c/a)² = (b²/a² - 2c/a) * a²/c² = b²/c² - 2ac/c² =(b² - 2ac)/c²----------------
(ii)
α³ + β³ =(α + β)(α² - αβ + β²) =(α + β)((α + β)² - 3αβ) = (α + β)³ - 3αβ(α + β) =(-b/a)³ - 3(c/a)(-b/a) =-b³/a³ + 3bc/a²= 3abc/a³ - b³/a³=(3abc - b³)/a³[tex] \huge \underline{\tt Question} :[/tex]
If α and β are the roots of the equation ax² + bx + c = 0, where a, b and c are constants such that a ≠ 0, find in terms of a, b and c expressions for :
[tex] \tt \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2}[/tex]α³ + β³[tex] \\ [/tex]
[tex] \huge \underline{\tt Answer} :[/tex]
[tex] \bf \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2} = \dfrac{b^2 - 2ac}{c^2 }[/tex][tex] \bf \alpha ^3 + \beta ^3 = \dfrac{ - b^3 + 3abc}{a^3}[/tex][tex] \\ [/tex]
[tex] \huge \underline{\tt Explanation} :[/tex]
As, α and β are the roots of the equation ax² + bx + c = 0
We know that :
[tex] \underline{\boxed{\bf{Sum \: of \: roots = \dfrac{- coefficient \: of \: x}{coefficient \: of \: x^2}}}}[/tex][tex] \underline{\boxed{\bf{Product \: of \: roots = \dfrac{constant \: term}{coefficient \: of \: x^2}}}}[/tex][tex] \tt : \implies \alpha + \beta = \dfrac{-b}{a}[/tex]
and
[tex] \tt : \implies \alpha\beta = \dfrac{c}{a}[/tex]
[tex] \\ [/tex]
Now, let's solve given values :
[tex] \bf \: \: \: \: 1. \: \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2}[/tex]
[tex] \tt : \implies \dfrac{\beta ^2 + \alpha ^2}{\alpha ^2 \beta ^2}[/tex]
[tex] \tt : \implies \dfrac{\alpha ^2 + \beta ^2}{\alpha ^2 \beta ^2}[/tex]
[tex] \\ [/tex]
Now, by using identity :
[tex] \underline{\boxed{\bf{a^2+ b^2 = (a+b)^2 -2ab}}}[/tex][tex] \tt : \implies \dfrac{(\alpha + \beta)^2 - 2 \alpha\beta}{(\alpha\beta)^2}[/tex]
[tex] \\ [/tex]
Now, by substituting values of :
[tex] \underline{\boxed{\bf{\alpha + \beta = \dfrac{-b}{a}}}}[/tex][tex] \underline{\boxed{\bf{\alpha\beta = \dfrac{c}{a}}}}[/tex][tex] \tt : \implies \dfrac{\Bigg(\dfrac{-b}{a}\Bigg)^2 - 2 \times \dfrac{c}{a}}{\Bigg(\dfrac{c}{a}\Bigg)^2}[/tex]
[tex] \tt : \implies \dfrac{\dfrac{b^2}{a^2} - \dfrac{2c}{a}}{\dfrac{c^2}{a^2}}[/tex]
[tex]\tt : \implies \dfrac{\dfrac{b^2}{a^2} - \dfrac{2ac}{a^{2} }}{\dfrac{c^2}{a^2}}[/tex]
[tex]\tt : \implies \dfrac{\dfrac{b^2 - 2ac}{a^2 }}{\dfrac{c^2}{a^2}}[/tex]
[tex]\tt : \implies \dfrac{b^2 - 2ac}{\cancel{a^2} } \times \dfrac{ \cancel{a^2}}{c^2}[/tex]
[tex]\tt : \implies \dfrac{b^2 - 2ac}{c^2 }[/tex]
[tex] \\ [/tex]
[tex] \underline{\bf Hence, \: \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2} = \dfrac{b^2 - 2ac}{c^2 }}[/tex]
[tex] \\ [/tex]
[tex] \bf \: \: \: \: 2. \: \alpha ^3 + \beta ^3 [/tex]
[tex] \\ [/tex]
By using identity :
[tex] \underline{\boxed{\bf{a^3+ b^3 = (a+b)(a^2 -ab + b^2)}}}[/tex][tex] \tt : \implies (\alpha + \beta)(\alpha ^2 - \alpha\beta + \beta ^2)[/tex]
[tex] \tt : \implies (\alpha + \beta)(\alpha ^2 + \beta ^2 - \alpha\beta)[/tex]
[tex] \\ [/tex]
By using identity :
[tex] \underline{\boxed{\bf{a^2+ b^2 = (a+b)^2 -2ab}}}[/tex][tex] \tt : \implies (\alpha + \beta)(\alpha + \beta)^2 -2 \alpha\beta - \alpha\beta)[/tex]
[tex] \tt : \implies (\alpha + \beta)((\alpha + \beta)^2 -3 \alpha\beta)[/tex]
[tex] \\ [/tex]
Now, by substituting values of :
[tex] \underline{\boxed{\bf{\alpha + \beta = \dfrac{-b}{a}}}}[/tex][tex] \underline{\boxed{\bf{\alpha\beta = \dfrac{c}{a}}}}[/tex][tex] \tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg( \bigg(\dfrac{-b}{a} \bigg)^2 -3 \times \dfrac{c}{a}\Bigg)[/tex]
[tex] \tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2}{a^2} - \dfrac{3c}{a}\Bigg)[/tex]
[tex]\tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2}{a^2} - \dfrac{3ac}{a^{2} }\Bigg)[/tex]
[tex]\tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2 - 3ac}{a^2} \Bigg)[/tex]
[tex]\tt : \implies \dfrac{-b}{a} \times \dfrac{b^2 - 3ac}{a^2} [/tex]
[tex]\tt : \implies \dfrac{ - b(b^2 - 3ac)}{a \times a^2} [/tex]
[tex]\tt : \implies \dfrac{ - b^3 + 3abc}{a^3} [/tex]
[tex] \\ [/tex]
[tex] \underline{\bf Hence, \: \alpha ^3 + \beta ^3 = \dfrac{ - b^3 + 3abc}{a^3}}[/tex]
Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.
Answer:8 gumballs 3 jaw breakers
Step-by-step explanation:
Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3
Given the Parameters :
Gumball cost, g = $0.50Jawbreaker cost, j = $0.30Maxumum amount to spend = $3.00(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) ≤ maximum cost
0.50g + 0.30j ≤ 3
Hence, the required inequality expression is 0.50g + 0.30j ≤ 3
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Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0?
A.
[tex]y = \frac{4}{5} x + \frac{5}{4} [/tex]
B.
[tex]y = \frac{5}{4} x[/tex]
C.
[tex]y = \frac{4}{5} [/tex]
D.
[tex]x = \frac{5}{4} [/tex]
Answer:
C
Step-by-step explanation:
The equation of a line parallel to the x- axis ( slope of 0 ) and perpendicular to the y- axis has equation
y = c
where c is the value of the y- coordinates the line passes through.
The only equation in this form is
y = [tex]\frac{4}{5}[/tex] → C
Find all polar coordinates of point P where P = (9,pi divided by 5).
Answer:
(-9, π/5 + (2n + 1)π)
Step-by-step explanation:
Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:
(9, π/5 + 2nπ), for any integer n
Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:
(-9, π/5 + (2n + 1)π), for any integer n
Please help
D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.
A(1) = 1,000 + 20+
Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Step-by-step explanation:
a is the correct not sure though
Answer:Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Step-by-step explanation:
This one is too much for me hhh, please answer it when you have time! THANK YOU!!
Match the following rational expressions that corresponds the letter of the correct answer.
Answer:
1.C
2.K
3.E
4.G
5.I
6.A
7.H
8.B
9.L
10.D
Step-by-step explanation:
what is the slope of the line through the point (-4,6) and (-3,-1)?
a. -2/1
b. -7/1
c. -1/2
d. -1/7
Answer:
B.) -7/1
Step-by-step explanation:
Finding the slope we use: y2 - y1/x2 - x1
m = -1 - 6/-3 - (-4)
m = -7/-3 + 4
m = -7/1
PLEASE HELP!! I have asked this many times with no answers I really need help.
What is the direction, y-intercept, and zeroes of f(x) = 4x^2 + 10x + 12.
The direction of f(x) = 4x² + 10x + 12 is in upward direction.
y intercept of the f(x) is (0,, 12).
And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
What is function?
Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(x) = 4x² + 10x + 12.
The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.
To find y intercept of the function,
Substitute x = 0, in the function,
f(x) = y = 4 (0)² + 10 (0) + 12
y = 12
The y intercept of the function is (0, 12).
To find the number of zeros, Substitute f(x) = 0,
Implies that,
4x² + 10x + 12 = 0
The values of x for the given quadratic equation are,
x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i
The number of zeros is two at -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
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What is the bottom one? One in blue? Please help worth a lot of points.
Step-by-step explanation:
it's blurry i can't clearly see
Answer:
-7/8
Step-by-step explanation:
change the denominator and numerator of -1/2 by multiplying both by 4.
Then you get -4/8 instead of -1/2. This allows you to then subtract the -3/8 with -4/8 which equals -7/8.