Answer:
17
Step-by-step explanation:
2f + 4f + 2 - 3 when f = 3
1) first we multiply 3 wherever f is
2 x 3 + 4 x 3 + 2 - 3 (solve)
6 + 12 + 2 - 3
18 + 2 - 3
20 - 3
17
Answer:
6+12+2-3=17
Step-by-step explanation:
If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a
Answer:
see explanation
Step-by-step explanation:
Given (x - m) is a factor of both then x = m make both expressions equal to zero.
m² - am + b = 0
m² - cm + d = 0
Then
m² - am + b = m² - cm + d ( subtract m² - cm from both sides )
cm - am + b = d ( subtract b from both sides )
cm - am = d - b ← factor out m from each term on the left side
m(c - a) = d - b ← divide both sides by (c - a)
m = [tex]\frac{d-b}{c-a}[/tex] ← as required
if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5
guys help me with this question please
Answer:
c is -30
Step-by-step explanation:
I. 1/a - 1/b - 1/d = 1/c
II. 1/2 - 1/3 - 1/5 = 1/c
III. (15-10-6)/30 = 1/c
IV. -1/30 = 1/c
V. so c.value is -30
9. An equation representing the height of a burning candle is H = 2(9 - 2t), where
H is the height of the candle in cm and
t is the amount of time that the candle has been burning in minutes.
How long will it take for the candle to burn down to a height of 4 cm?
a. 2 min
b. 3.5 min
C. 5.5 min
d. 7 min
Answer:
H= 4cm
we want t
4=2(9-2t)
2=(9-2t)
-7=-2t
t=3.5 minutes
3/5 of 1 hour is? pls give me the answer
1hr=60min
[tex]\\ \sf\longmapsto \dfrac{3}{5}\;of\;60min[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{5}\times 60[/tex]
[tex]\\ \sf\longmapsto \dfrac{180}{5}[/tex]
[tex]\\ \sf\longmapsto 36min[/tex]
Complete the steps to solve the equation. 9 – 4x = 2x 1. Addition property of equality: 9 = 6x 2. Division property of equality: = x
Answer:
x = 3/2
Step-by-step explanation:
Given:
9 - 4x = 2x
Step 1: Addition property of equality
9 - 4x + 4x = 2x + 4x
9 = 6x
Step 2: Division property of equality:
9 = 6x
9/6 = 6x/6
9/6 = x
x = 9/6
= 3/2
x = 3/2
Check:
9 - 4x = 2x
9 - 4(3/2) = 2(3/2)
9 - 12/2 = 6/2
9 - 6 = 3
3 = 3
PLEASE HELP ASAPP :(
Find the area of triangle ABC.
Answer Options:
A. 18.52 units²
B. 12.16 units²
C. 15.14 units²
D. 31.27 units²
Answer:
Option C, 15.14 units²
Step-by-step explanation:
area of the triangle,
6.82×5.04×sin(61.73)/2
= 15.1365001284..
= 15.14 units² (rounded to the nearest tenth)
The required area of the irregular triangle is 15.14 unit². Option C is correct.
Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.
The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.
Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.
The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
= 1/2 * 6.82 * 5.04 * sin61.73°
= 1/2 * 6.82 * 5.04 * 0.88
= 15.14 unit²
Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.
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Find the value of -3x + 5,
if –3 + 4x = -19
Answer:
17
Step-by-step explanation:
Solve the equation for x then plug that into the 1st expression.
-3 + 4x = -19
4x = -19 + 3
4x = -16
x = -4
then
-3x + 5
-3(-4) + 5 = 12 + 5 = 17
If $a$ and $b$ are positive integers such that $\gcd(a,b)=210$, $\mathop{\text{lcm}}[a,b]=210^3$, and $a
Answer:
[tex]a * b = 210^4[/tex]
Step-by-step explanation:
Given
[tex]a,b>0[/tex]
[tex]gcd(a,b) = 210[/tex]
[tex]lcm(a,b) = 210^3[/tex]
Required
The product of a and b --- missing from the question
To do this, we make use of the following formula:
[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]
So, we have:
[tex]a * b = 210 * 210^3[/tex]
Using the product law of indices, we have:
[tex]a * b = 210^4[/tex]
This means that the product of a and b gives [tex]210^4[/tex]
• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP
Answer:
i think ..................
Step-by-step explanation:
society idsbwj ja
1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
9514 1404 393
Answer:
x = x+10 = x+1x+1 = x+1Step-by-step explanation:
1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.
If we choose to make our equation ...
x = x +1
Subtracting x from both sides of the equation gives ...
0 = 1
There is no value of the variable that will make this be true.
__
2. Something that reduces to x = c will have one solution. One such equation is ...
0 = x+1
x = -1 . . . . subtract 1 from both sides
__
3. Something that reduces to x = x will have an infinite number of solutions.
One such equation is ...
x+1 = x+1
Subtracting 1 from both sides gives ...
x = x . . . . true for all values of x
On another map, the distance between Saugerties and
Kingston is 2 inches. What would the distance from
Saugerties to Catskill be on this map?
Answer:
10miles
Step-by-step explanation:
Answer:
I have no clue what is going on wit dis g
Evaluate the Expression z(z-7) when z=10
Answer:
30
Step-by-step explanation:
z(z-7)
Let z= 10
10(10-7)
Parentheses first
10 (3)
Multiply
30
Answer:
[tex]\huge\boxed{\sf 30\\}[/tex]
Step-by-step explanation:
= z ( z - 7 )
Put z = 10
= 10 ( 10 - 7 )
= 10 ( 3 )
= 30
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!what is value of y and x if 3x+2y=2 and 2x+3y=4
We need to form a system of equations:
3x + 2y = 2
2x + 3y = 4
Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).
6x + 4y = 4
6x + 9y = 12
Next, we can subtract the second equation from the first. We get:
0x - 5y = -8
Then this becomes:
-5y = -8
÷-1 ÷-1
5y = 8
÷5 ÷5
y = 1.6
Substitute 1.6 for y in one of the equations:
2x + 3(1.6) = 4
2x + 4.6 = 4
2x = -0.6
÷2 ÷2
x = -0.3
Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]
Can you please answer this and don't just give the answers also explain it how you got them? -Thank you
simplify
please to the end
THIS MIGHT NOT BE RIGHT CAUSE I'M SICK
Solve for x. Leave your answer in simplest radical form. *Giving brainliest*
Answer:
x= 10.630145
I hope it's helps you
is there any responsible way to use student loans why or why not
Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.
Step-by-step explanation:
Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0
Answer:
the inequality is 0<x<4
Step-by-step explanation:
(0,4)
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:
Answer:
30 people took part in the survey
Step-by-step explanation:
5+7+6+5+4+3= 30
help please I'll give brainliest
Answer:
35
Step-by-step explanation:
6:5
We need to get the first number to 43
6*7 = 42
Multiply each term by 7
6*7 : 5*7
42 : 35
q · 7/9 = 4
What is q?
Answer:
q = 36/7 or 5 1/7
Step-by-step explanation:
q · 7/9 = 4
Multiply each side by 9/7
q · 7/9 *9/7 = 4*9/7
q = 36/7
If we want it as a mixed number instead of an improper fraction
7 goes into 36 5 times with 1 left over
q = 5 1/7
8. Which expression is greatest? Justify your answer.
a. 4 X -5
b. -5 + 4
c. -4- (-5)
Answer:
c
Step-by-step explanation:
i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.
a.4×-5=-20
b.-5+4=-1
c.-4-(-5)=1
therefore 1 is the greatest so the expression c is the greatest.
I hope this helps
2x+3y=19 // 6x+2y=22
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
Find the slope of the line that passes through (-26, 9) and (32, 71).
Answer:
[tex]Slope = \frac{31}{29}[/tex]
Step-by-step explanation:
Step 1: Define the slope formula
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Step 2: Find the slope
[tex]Slope = \frac{71-9}{32-(-26)}[/tex]
[tex]Slope = \frac{62}{58}[/tex]
[tex]Slope = \frac{31}{29}[/tex]
Answer: [tex]Slope = \frac{31}{29}[/tex]
An Olympic diver starts at 7.5 m above the water. During her dive, she goes
1.5
m below the water. What is the vertical distance the diver travels?
Given that an Olympic diver starts at 7.5 m above the water, during her dive, she goes 1.5 m below the water, the vertical distance the diver travels is 9 meters.
To determine what is the vertical distance the diver travels the following calculation must be performed:
The initial height must be subtracted from the final height, in order to obtain the difference between the two heights.
1.5 - (-7.5) = X1.5 + 7.5 = X9 = XTherefore, the vertical distance the diver travels is 9 meters.
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The vertical distance traveled by the Olympic diver is 6 m
The given parameters include:
initial position of the Olympic diver, x₁ = 7.5 m above the waterfinal position of the Olympic diver, x₂ = 1.5 m below the waterThe sketch of the Olympic diver's displacement is as follows;
x₁ ---------- 7.5 m
|
|
|
|
----------- water surface
|
↓
x₂ ------------ 1.5 m below water surface
The vertical distance from x₁ to x₂ = 7.5 m - 1.5 m = 6 m
Therefore, the vertical distance traveled by the Olympic diver is 6 m
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Mary can do a job in 80 minutes, Working with Jané, both can do the job in 30
minutes. How long will it take Jane to do the job alone?
Answer:
see below
Step-by-step explanation:
The equation to determine the work time is
1/a+1/b = 1/c where a and b are the times alone and c is the time together
1/80 + 1/30 = 1/c
Multiply by the least common denominator to clear the fractions, which is 240c
240c(1/80 + 1/30 = 1/c)
3c+8c = 240
11c = 240
Divide by 11
11c/11 =240/11
c = 240/11 minutes
c=21.81818
Approximately 22 minutes
Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?
5 cm or 29 cm
Step-by-step explanation:
Let x length is cut off from each measurements.
Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.
Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.
Therefore, by Pythagoras theorem:
[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]
So, the length that is cut off will be either 5 cm or 29 cm.
29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?
The total sales to rent the diving items are :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
The total sales to rent the diving items is : $185.95
Given the following rental cost:
Underwater Camera = $18.99
Air tank = $15.50
Wet Suit = $17.25
Dive Flag = $5.00
Expressions to represent the cost of :
2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras
Price = price per item × quantity purchased
Expression 1 :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
Similarly, we could group items with the same quantity together :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
Using either of the two expressions above, the total sales can be calculated thus :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
2(22.25) + 3(15.50) + 5(18.99)
44.50 + 46.50 + 94.95
= $185.95
The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95
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Worth 6 points please help!!
Answer:
-9
Step-by-step explanation:
The average rate of change is found by
f(5) - f(2)
------------
5-2
10 - 37
----------
5-2
-27
-----
3
-9
Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them
Answer:
Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)
Step-by-step explanation:
Using a cosine function, where time is measured in hours past high
tide: y=4cos30x + 10
Using a cosine function, where time is measured in hours past low
tide: y = 4cos[30(x-6)]+10
