The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
We are given that;
The function (3x - 5)2 = 19
Now,
To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:
Take the square root of both sides to get 3x - 5 = ±√19
Add 5 to both sides to get 3x = 5 ±√19
Divide both sides by 3 to get x = (5 ±√19)/3
Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.
Learn more about solving equations here:
https://brainly.com/question/13072448
#SPJ7
Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?
Answer:
Step-by-step explanation:
Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Skateboarder A travels at a steady rate of 15 feet per second.
Skateboarder B travels at a steady rate of 22 feet per second.
We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.
The formula for finding the distance travelled by anybody is represented below
Time is given that is 4 minutes which means 240 seconds.
Thus,
Distance travelled by skateboarder A
Distance travelled by skateboarder B.
Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.
Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.
Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
Mario Andretti drives his race car 500 miles in 2.5 hours. What is his speed?
Answer:
His speed was 200.
Step-by-step explanation:
500/2.5 is 200.
Answer:
The speed of Mario Andretti's race car is 200 m/h.
Step-by-step explanation:
Speed = Distance/Time=> Speed = 500 miles/2.5 hours=> Speed = 200 miles/1 hourConclusion:
Therefore, the speed of Mario Andretti's race car is 200 m/h.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find the circumference of a circle with a radius of 2.4 m
Answer:
here,
circumference of circle (c)=2πr
=2×22÷7×2.4
15.0857143.
Need NOW PLEASE.....
Answer:
8-(-8) = 8+8
8-8 = 8+(-8)
-8-(-8) = -8+8
-8-8 = -8+(-8)
10-9 = 10+(-9)
10-(-9) = 10+9
Step-by-step explanation:
Remember that if the signs are equal +,+ or -,- , they are positive (+)
if the signs are different like +,- or -,+ then they are negative (-)
Find the equation of the line with slope of 2 passing through (3,1)
pplleeaassee
The equation of the line is y-2x+5=0 I believe. Good luck :)
This expression is scientific notation for what number?
8. 10-6
Answer:
20-45 answer should be d good luck sorrybif im wrong
1. (2x^3)^4
2. 18 x^0
3. 7p ^-4
Step-by-step explanation:
1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)
2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)
3. 7/p^4
What is the domain of the equation shown in the graph?
Question options:
All real numbers
x= ≤ -1
x≥-1
x≤0
Answer:
All real numbers.
Step-by-step explanation:
The domain is the range of values of x.
The graph goes on without bounds to - infinity and positive infinity.
Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40
Answer: D i think
Step-by-step explanation:
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
Simplify the expression, then we have
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
⇒ − 7x + 6x − 24 − 2x − 6 + 10
⇒ − 3x − 20
⇒ − (3x + 20)
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ5
Can someone help me with this please
Answer:
r = 59
Step-by-step explanation:
59 + r = 118
59 + r - 59 = 118 - 59
r = 59
Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.
Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?
Answer:
$1.90
10xx+25yy cents
Step-by-step explanation:
9 dimes (10 cents each) = 90 cents = 0.9 dollars
4 quarters (25 cents each) = 100 cents = 1 dollar
Making $1.90
xx dimes (10 cents each) = 10xx cents
yy quarters (25 cents each) = 25yy cents
Making 10xx+25yy cents in total I believe..
Hope this helps :)
HELP ME GUYS PLEASE! :)
Answer:
4x + 5y = 19 - (x + 5y = 16)
4x - x = 3x
5y - 5y = 0
19 - 16 = 3
3x = 3
x = 1
4x + 5y = 19
4(1) + 5y = 19
4 + 5y = 19
5y = 15
y = 3
Solution: (1,3)
Step-by-step explanation:
4x + 5y = 19 - (x + 5y = 16)
4x - x = 3x
5y - 5y = 0
19 - 16 = 3
3x = 3
x = 1
4x + 5y = 19
4(1) + 5y = 19
4 + 5y = 19
5y = 15
y = 3
Solution: (1,3)
Hope this helps! :)
Can someone help help me
Answer:
15π/2 ft
Step-by-step explanation:
Arc length is given by the formula ...
s = rθ . . . . . r = radius; θ = central angle in radians
A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...
s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft
your friend has owned a dog for 9 year this is one year less than as
you just answered your own question
Look at the equation 14n=98 work out the value of 14(n+1)
Answer:
The value of 14(n+1) is 112.
Step-by-step explanation:
14n=98
n=98/14
n=7
-------------
14(n+1)=14(7+1)=14(8)=112
Solve for x in the hanger below
Answer:
x=3
Step-by-step explanation:
Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?
Answer:
10
Step-by-step explanation:
This is because 10×4=40
10+5=15
40+5=45
45/15=3
Answer:
Step-by-step explanation:
Let E and F represent Eli and his Father's current ages.
We are told that E = (1/4)F. ["Eli is now one quarter of his father’s age"]
But in 5 years, that will be:
(E+5) = (1/3)(F+5) ["In 5 years’ time his age will be one third of
his father’s age"]
-------------
We have two equations and two unknowns. Find a way to eliminate one of the two variables and then solve for the remaining variable.
E = (1/4)F
(E+5) = (1/3)(F+5)
It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:
(E+5) = (1/3)(F+5)
((1/4)F+5) = (1/3)(F+5)
(1/4)F - (1/3)F = (1/3)*5 - 5
F - (4/3)F = (4/3)*5 - 20
-(1/3)F = (20/3) - (60/3)
-(1/3)F = (-40/3)
F = (120/3)
F = 40 years
E = 10 years (based on E = (1/4)F)
====
In five years: F is 45 and E is 15, which would make Eli 1/3 of his father's age in 5 years.
Find a counterexample to the statement below
“All prime numbers are odd”
Answer:
The number 2
Step-by-step explanation:
Answer:
"2 is prime and it is even"
Step-by-step explanation:
You are buying candles for an outdoor event. The candles you want come in boxes of 10, and you have enough money to purchase 20 boxes. How many candles can you buy?
Answer:
200 candles
Step-by-step explanation:
20*10 = 200
You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.
A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.
CLEAR CHECK
95 square meters
190 square meters
47.25 square meters
57.25 square meters
Answer:
95 square meters
Step-by-step explanation:
I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)
The formula for area of triangle is base * height * 1/2
So 19 * 10 *1/2 is 95.
Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday.
Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike.
Is Andy correct?
1. Mahammed bought 4 boxes of chocolates online. Postage was $10 and the total cost was $58. Let b represent the price of each box.
Answer: $14.5
Step-by-step explanation: you divide 58 by 4 . each box is 14.5. total cost is $68 if you add postage
De los tres cuartos de los asientos que hay en un camión, quitamos la tercera parte y aun quedan 20. ¿Cuántos asientos tiene el camión?AYUDAA
Creo que habría 80 asientos.
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
(4,-4.5)
Step-by-step explanation:
make x the subject of the following formula:
ax - ay = cx + by
please help
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
Learn more about subject of formula here : https://brainly.com/question/859711
The Raitio of 20:360
Answer:
If you need it as a fraction then it is 1/18
Step-by-step explanation:
Find the equation that has a slope of -2 and passes through the point (0,4)
pleaseeeee
Answer:
y=-2x+4
Step-by-step explanation:
y=mx+b
y=-2x+b
4=-2(0)+b
4=0+b
4=b
y=-2x+4
Can you please help me?!
Answer:
a. (2,1)
b. (0,2)
c. (4,0)
Step-by-step explanation:
2x+ 4y = 8 /2
x + 2y = 4
x = 4 - 2y and y = (4 - x)/2
a. x = 2 => y = 1
b. x = 0 => y = 2
c. y = 0 => x = 4
Which is an example of nonverbal communication?
O A. Test questions
O B. An outline
O C. Words like please
O D. Body posture