Answer:
k < 4
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the solutions.
• If b² - 4ac > 0 then 2 real and distinct solutions
• If b² - 4ac = 0 then 1 real and repeated solution
• If b² - 4ac < 0 then no real solutions
4x² + 8x + k = 0 ← is in standard form
with a = 4, b = 8 , c = k , then
b² - 4ac = 8² - (4 × 4 × k) = 64 - 16k
For two real solutions
64 - 16k > 0 ( subtract 64 from both sides )
- 16k > - 64
Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.
k < 4
Then any value less than 4 will ensure the equation has two real solutions
if a shirt selling for $ 18 is marked up to $20 then the percentage increased is equal to
Answer:
11.11%
Step-by-step explanation:
the increased price = 20-18 = $2
the percentage increased = 2/18 ×100%
= 11.11%
Answer: Percent increase = 11.11%
Concept:
Here, we need to know how to find the percentage of increase.
Percent increase is a measure of percent change, which is the extent to which something gains value.
Percent increase = [(final value - initial value) / initial value] × 100%
Solve:
Given information
Initial value = $18
Final value = $20
Given expression
Percent increase = [(final value - initial value) / initial value] × 100%
Substitute values into the expression
Percent increase = [(20 - 18) / 18] × 100%
Simplify values in the parentheses
Percent increase = [2 / 18] × 100%
SImplify by multiplication
Percent increase = 11.11 % (Rounded to the hundredth place)
Hope this helps!! :)
Please let me know if you have any questions
I need help finding x
Answer:
x = 40.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin x = 11/17
Taking the inverse sin of each side
sin ^-1 ( sin x) = sin ^-1( 11/17)
x = 40.32
Rounding to the nearest tenth
x = 40.3
Answer:
45°
Step-by-step explanation:
You can tell the distance from the right angle from each leg is the same and the angle measurements are the same.
What is the solution to this system of equations?
-a – 3 + 4c = 3
5a - 8b + 5c = 27
5a – 2b + 6c = 1
A. a = -4, b = -2, c = 1
B. a = 4, b = 2, c = -1
C. a = 1, b = -4, c = -2
D. a = -2, b = –1, c = 4
Step-by-step explanation:
hope it can work for you mark me as brain liest
497 + 184
A. 581
B. 671
C.681
D.571
Answer:c
Step-by-step explanation:
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
adriana has already taken 11 pictures at home, and she expects to take 1 during every vacation. After 6 days of vacation , how many picures would adriana hve taken
Answer:
The answer is 17
Step-by-step explanation:
11 + 6 = 17
Combine Like Terms
2. What is the simplest expression equivalent to 6g + 10 - 11g - 22 + 3g?
-2g-12
-89-32
2g+12
8g+32
Answer:
-2g-12
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
| m^2+n^2 |
When m= -5 and n= 3, the value of the expression is ____.
**I answered 16 and it was wrong**
The value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.
Given,
| m^2+n^2 |
We need to find the value of this expression at m = -5 and n = 3.
What is the modulus of x?The modulus of x is given as |x|.
The modulus of a negative x is also positive.
|-x| = x
How do we find an expression at a given point?Example:
x + 2 at x = 1
= 1 + 2
= 3
Find the value of | m^2+n^2 | at m = -5 and n = 3.
| m^2+n^2 |
= | (-5)² + (3)² |
= | 25 + 9 |
= | 34 |
= 34
Thus the value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.
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The average price of a 0.5- carat round diamond is $3700 and the average price of a 0.75- carat diamond is $4950. If the weight and the price of the diamond is linearly related, how much will a 2.5 -carat round diamond cost?
Since the problem stated the weight and price are in a linear relationship, we can use y=mx+b.
First, let's calculate our slope.
m = (4950-3700)/(0.75-0.5) = 5000
Now, let's solve for b.
3700 = 5000(0.5) + b
Simplify the right side of the equation.
3700 = 2500 + b
Subtract 2500 from both sides
1200 = b
Now our equation looks like this:
y = 5000x + 1200
Let's plug 2.5 in for x to solve for the diamond cost.
y = 5000(2.5) + 1200
Simplify the right side.
y = 13700
The average price of a 2.5 carat diamond is $13700
Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.
Step-by-step explanation:
For parallel line:
slope of given line:
m=-1/2
Parallel lines have equall slopes:
required slope=-1/2
For perpendicular line:
m1×m2=-1
-1/2×m2=-1
m2=2
slope of perpendicular line=2
Note:if you need to ask any question please let me know.Match the line described on the left with the slope of the line on the right. y = 3‐--------------------------------------undefined 9x – 3y = 18.--------------------------,------- - 2 the line through (5, 7) and (5, – 8) -------0 the line through ( – 4, – 1) and (-1,–7)--- 3.
Answer:
y=3, 0; 9x-3y=18, 3; line through (5, 7) and (5, – 8), undefined; the line through ( – 4, – 1) and (-1,–7), -2;
Step-by-step explanation:
y=3 is a horizontal line so the slope is 0
9x-3y=18 can be written as 3y=9x-18 or y=3x-6 so the slope is 3
the line through (5,7) and (5,-8) is a vertical line since the x value didnt change between the two points so the slope is undefined
we have to find the slope of the line through ( – 4, – 1) and (-1,–7). to do this use the formula (y_2-y_1)/(x_2-x_1)=(-7-(-1))/(-1-(-4))=(-7+1)/(-1+4)=-6/3=-2 so the slope is -2
How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze? Use the six-step method.
Answer:
405 gallons
Step-by-step explanation:
Let it be that the amount of gallons of a 70% antifreeze solution is x, when a mixture that is 60 percents of antifreeze is placed in y gallons
x+90=y - the equation of dependence between solutions
The amount of antifreeze in the first one is x/100*70= 0.7x (in gallons), in the second solution (15percents) antifreeze is 90/100*15=13.5 (in gallons).
In the mixture we should get there will be y/100*60=0.6y - gallons of antifreeze
0,7x+13.5=0.6y
We have two equations x+90=y and 0,7x+13.5= 0.6y
0.6x+54=0.6y
0.7x+13.5=0.6y
0.7x+13.5-0.6x-54= 0.6y-0.6y
0.1x-40.5=0
x=405- the answer
p.s. sorry, I don't know what the six-step method is. But the answer is right.
given that 3x+2=4 and 2y+6=5 what is x+y?
Really need help on this one!
The value of x+y using given equations is 3x+2y=1.
The given equation are 3x+2=4 and 2y+6=5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To find x+y:
3x+2+2y+6=4+5
⇒ 3x+2y+8=9
⇒ 3x+2y=1
Hence, the value of x+y using given equations is 3x+2y=1.
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Find the midline for f(x)=sinx+1.
a. y=0
B. y=−1
C. y=1
D. y=−2
Answer:
B Y=1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the greatest value that sin(x) + 1 can have? It isn't 1.
f(90) = sin(90) + 1
f(90) = 1 + 1 = 2
What is the smallest value that sin(x) + 1 can have? It still isn't one.
f(-90) = sin(-90) + 1
f(-90) = -1 + 1 = 0
So the midline is (2 + 0)/2 = 1
y = 1 is the answer.
Jazmine is on a trịp to San Antonio, a distance of 330 km. She only has 3.5 hours to get to a job interview there. She gets stuck in traffic for the first 1.5 hours out of Houston and averages a speed of 60 km/hr. In order to not be late, what speed does she need to travel for the rest of the trip? (Organize your information carefully - total, first part, second part)
Answer:
Jazmine must travel for the rest of the trip at 120km/hr.
Step-by-step explanation:
To find the speed for the latter half of the trip necessary to arrive on time, we can divide the remaining distance by the remaining time.
The remaining distance, in km, is found by subtracting the distance already covered, which is the product of the speed during the first part of the trip and the elapsed time during this part, from the total distance:
[tex]330-1.5\times60=330-90=240[/tex]
The remaining time, in hr, is found by subtracting the elapsed time during the first part from the total time limit:
[tex]3.5-1.5=2[/tex]
Therefore, the necessary speed in km/hr is:
[tex]\frac{240}2=120[/tex]
Help with this please now
Answer:
ok dude
Step-by-step explanation:
Wʜᴇʀᴇ ɪs ǫᴜᴇsᴛɪᴏɴ?
Answer:
what help l don't understand please sorry I didn't help you explain your problem l will help you
Can I please have some help fast
Answer:
The second one
Step-by-step explanation:
In that table, all the numbers in the column B can be found multiplying the numbers of column A by 4, and that's a property of ratio
3(4x+1)=15? X=
What is the solution?
Answer:
x=1
Step-by-step explanation:
3(4x+1)=15
12x+3=15
12x=15-3
12x=12
x=12/12
x=1
The area of a rectangular garden 42 square meters. The width is 5 meters longer than one-third of the length. Find the length and the width of the garden Use the formula, area =length x width
In which quadrant , the point (2, -1) lies
1st
2nd
3rd
4th
Answer:
4 th quadrant
Step-by-step explanation:
hope it helps you
Solve 2/5 x + 1/2 = 5/6
Answer:
5/6
Step-by-step explanation:
I'm assuming the x in your equation is used as a variable.
5/6-1/2= 2/6=1/3
2/5x=1/3
x=5/6
Whoever gets this question right, I will mark brainilest! Thanks!
10. 2/10 = 0.2 or 0.20
11. 8/10 = 0.8 or 0.80
12. 5/10 = 0.5 or 0.50
13. 17/100 = 0.17
14. 89/100 = 0.89
15. 68/100 = 0.68
turn 5/9 into a decimal.
5/9 to a decimal would be .5 repeated
The answer is .5 repeated
Do not put your answer as .5 because .5 is 5/10
A proper answer can be something like "0.5 repeated, 0.5555..., or .5 with a line over the 5"
help please! will give brainliest
A store is selling a sweater on sale for $17.90. The regular price is %22.95. What percent of the regular price is on sale
Answer:
$21.10
Step-by-step explanation:
please help me get the right answer!!
Answer:
is that distance and bearing . really cool lol
Write the number in expanded form 71,621
Answer:
there are a few types of 'expanded form' but i`ll just do this one
seventy-one thousand, six hundred and twenty-one
700000 is _ times as much as 700 ANSWER FAST!!!!
1,000
theres 4 more 0's in 700,000 than in 700
One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.
If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.
187°
173°
90°
144°
Solve for x.
(2x - 5°
(5x + 10)
B