Solve 2x2 + 20x + 8 = 0 by completing the square.
a. x = –5 + √17, x = –5 √–17
b. x = –5 + √21, x = –5 –√21
c. x = 5 + √21, x = 5 –√21
d. x = 5 + √17, x = 5 –√17
Answer:
Answer B:
Step-by-step explanation:
just took the test)))):
the answer: B
ok done. Thank to me :>
the range of values of x for which 11-2x>1
Answer:
(−∞,5)
Step-by-step explanation:
-2x>-10
x<5
Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.
The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
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1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?
She saved 20%.
The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.
What is the slope of a line that is parallel
and perpendicular to each line?
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
Hey ya'll I need help on this question
Answer:
285.2
Step-by-step explanation:
2852.1/10 = 285.21
but rounded to the nearest tenth is 285.2
Answer:
285.2
Step-by-step explanation:
After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.
What is the domain and range of this graph
Man just pay attention in school
Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-
[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answer:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]
Looks like g(x) is irrelevant here.
You can expand this like so:
[tex](h+f)(x)\\h(x)+f(x)[/tex]
And even further:
[tex](x^2-4)+(2x^2-9x+2)[/tex]
Now, it's just a matter of simplifying.
[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]
Therefore:
[tex](h+f)(x)=3x^2-9x-2[/tex]
what is the midpoint of the segment with endpoints (2,-1) and (-3,4)
Let M = midpoint of the line segment.
M = [(2 - 3)/2, (-1 + 4)/2]
M = (-1/2, 3/2)
Done.
PLS help its the last question
Answer:
D
Step-by-step explanation:
The square of the correlation coefficient gives a.An estimate of reliability b.An estimate of power c.The percentage of the variance attributed to error d.The percentage of the variance in the data that is accounted for by the independent variable.
Answer:
The coefficient of determination!
Step-by-step explanation:
It shows percentage variation in the target variable (y)y which is explained by all the predictor variables (X) together. It is always between 0 and 1. Hope this helps :)
I NEED HELP PLEASE SHOW WORK ON A PIC
As per question
We shall proceed in graphical way
2x+4y≥8x+2y≥4--(1)And
x-4y<6--(2)Graph attached
Which algebraic expression represents this word description?
The product of nine and the difference between five and a number
Answer: 9(5-n)
Step-by-step explanation:
The product of nine and the difference between five and a number can be represented as 9(5-n)
Answer: 9(5-x)
Step-by-step explanation:
Solve.
x−8.2=−9.09
What is the solution to the equation?
Enter your answer in the box.
x =
Answer:
x = - 0.89
Step-by-step explanation:
x - 8.2 = - 9.09
x = - 9.09 + 8.2
x = - 0.89
Answer:
-0.89
Step-by-step explanation:
Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?
help asappppppppppppp
Answer:
113 degrees
Step-by-step explanation:
2 and 7 are equal, so 0 and 2 will equal the same as 3 and 7, and both equal 180... Do 180-67=113
Answer 1 question. Thanks
Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?
Answer:
A lot
Step-by-step explanation:
Does this girl not have a credit card
The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Number of dimes = d
And number of nickels = n.
Total number of coins = 10.
Also, the value of coins = $0.70.
According to given conditions,
Since, Total number of coins is 10,
The equation can be written as,
d + n = 10
Total value of coins are = 0.70
0.1d + 0.05n = 0.70
1/10 d / 5n / 100 = 0.70
10 d + 50 n = 70
d + 5 n = 7
The required pair of equations are d + n = 10 and d + 5 n = 7.
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Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?
32 / 4 = 8
When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.
32 / 4 = 8
So, Kelly has visited 8 states.
i need help again please n thank you :)
Answer:
A solid line.
Step-by-step explanation:
The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.
Step-by-step explanation:
the answer is Dashed Line
Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time.
Answer:
12 km
Step-by-step explanation:
20 minutes = 20 * 60 = 1200 second
distance = velocity * time
car 1 = 1200 * 20 = 24000 m = 24km
car 2= 1200 * 10 = 12000 m = 12km
so distance between them after 20 minutes is 24 -12 = 12 km
Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?
Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500
The profit made from each unit sold can be found as:
= Market price - Average cost
= 14 - 9
= $5
The total profit would therefore be:
= Profit per unit x Number of units sold
= 5 x 500
= $2,500
In conclusion, the profit per unit is $5 and the total profit is $2,500
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The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!
Answer:
3200 meters
Step-by-step explanation:
because it is
Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
The number of laps around the track to run for 3.1 miles is 12.5.
What is unit conversion?Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
We have,
The track length = 400 meters
One lap = 400 meters.
We have,
3.1 miles
1 foot = 0.3048 meter ____ (1)
We know that,
[ 1 mile = 5280 foot ]
So,
3.1 miles = 3.1 x 5280 foot
3.1 miles = 16368 foot
From (1),
3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters
Now,
Since 400 meters is one slap.
The number of laps in 4988.9664:
Divide 4988.9664 by 400
= 4988.9664 / 400
= 12.47
Rounding to the nearest tenth.
= 12.5
Thus the number of laps around the track to run for 3.1 miles is 12.5.
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PLEASE HELP GIVING POINTS
Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?
Evaluate: 100−20.2×4.5.
i need this for imagen math
Answer:
359.1
Step-by-step explanation:
100 - 20.2 is 79.8
79.8 x 4.5 is 359.1
therefore it is 359.1
Classify each of the following expressions by selecting the polynomial type.
9xy5
A)monomial
B)binomial
C)trinomial
D)polynomial
Answer:
i dont know just need points
Step-by-step explanation:
A teacher orders school supplies by the pound.
A flat fee of
$
15.25
plus
$
3.45
per pound of supplies ordered is added to the bill to cover the shipping cost.
The teacher budgets
$
49.75
for the shipping cost.
Which list of values best represents the entire domain for shipping,
f
(
x
)
, as a function of the number of whole pounds of school supplies the teacher can order,
x
?
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 }
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
,
13
,
14
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }
Answer: 10
Step-by-step explanation:
I did the math, also not to be rude but stop using so many 'enter' commands