Answer:
39.585
Step-by-step explanation:
Consider the equation 5x^2-10x+c=0. What values of c result in the equation having a complex solutions? Represent your answer on the number line
Answer:
When we have a quadratic equation:
a*x^2 + b*x + c = 0
There is something called the determinant, and this is:
D = b^2 - 4*a*c
If D < 0, then the we will have complex solutions.
In our case, we have
5*x^2 - 10*x + c = 0
Then the determinant is:
D = (-10)^2 - 4*5*c = 100 - 4*5*c
And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:
D = 0 = 100 - 4*5*c
4*5*c = 100
20*c = 100
c = 100/20 = 5
As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.
This means that c must be larger than 5 if we want to have complex solutions,
c > 5.
I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:
An equilateral triangle with side lengths of 7 units is translated 3 units to the right. What is the length of one side of the triangle after the translation, in units? 3 units
Answer:
[tex]Sides= 7\ units[/tex]
Step-by-step explanation:
Given
[tex]Sides= 7\ units[/tex]
[tex]Translation = 3\ units[/tex] (to the right)
Required
Determine the length of one side after translation
It should be noted that when a shape, line, object is being translated by shifting its position, only the position of the shape, line or object changes not its length
This implies that, the length of the sides of the equilateral triangle remain unchanged.
Hence:
[tex]Sides= 7\ units[/tex]
How much money must be deposited to earn $219 in simple interest in 8 years at an annual rate of 6.2%?
Answer: $1,147.20.
Step-by-step explanation:
The total amount accrued for principal plus interest in the calculation simple interest
= principal * (1+ rate * number of years)
= $800 *(1+ 6.2% * 7)
= $1,147.20.
Hopefully his helped, if not HMU and I will try my best to get u a better answer! :)
Which graph represents a function
Beatrice threw a stone one and seven fourteenths yards. Tilly threw a stone nine fourteenths of a yard. What is a reasonable estimate of the difference between their two throws?
a. 1 yard
b. one and one half yards.
c. 2 yards
d. two and one half yards
Graham's monthly bank statement showed the following deposits and withdrawals.
- $87.45, - $24.76, $143.87 – $17.29 $348.90
If Graham's balance in the account was $456.78 at the beginning of the month,
what was the account balance at the end of the month?
Answer:
622.27
Step-by-step explanation:
- $87.45 + (- $24.76) + (-17.29) = $-129.5
$143.87 + $348.90 = $492.77
492.77 - (-129.5) = 622.27
which is Not equal to thr absolute value of -5?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
please help me i need this answer ASAPP!!
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[tex]y + 1 = \frac{8}{9} (x + 4) \\ [/tex]
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Thus the correct answer is the second one.
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one number is nine more than another number, if the sum of the number is 65, find both numbers
Answer:
28 and 37
Step-by-step explanation:
Answer:
28 and 37
Step-by-step explanation:
This is very simple actually!
First subtract the 9:
65 - 9 = 56
Then divide by 2:
56 ÷ 2 = 28
28 is one of your answers. If we want to find the other one, then add back 9
28 + 9 = 37
That's it!
Hope this helped :)
Find the measure of each numbered angle
The measure of each numbered angles are ∠1 = 56°, ∠2 = 56° and ∠3 = 74°.
What is Angle?An angle for any figure is formed by two rays which joins at a common point called vertex or node.
Usually angles are measured in degrees or radians.
Consider triangle PMQ
The sum of the interior angles of a triangle is 180°.
∠MPQ + ∠QMP + ∠PQM = 180°
58° + 66° + ∠1 = 180°
∠1 = 180° - (58° + 66°)
∠1 = 180° - 124°
∠1 = 56°
Now, ∠1 and ∠2 are vertically opposite angles. Hence they are equal.
∠2 = 56°.
Again, for triangle NQO
∠2 + ∠3 + 50° = 180°
56° + ∠3 + 50° = 180°
∠3 = 180° - (50° + 56°)
∠3 = 180° - 106°
∠3 = 74°
Hence ∠1, ∠2 and ∠3 are 56°, 56° and 74° respectively.
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You move right seven units. You end at 2,2. Where did you start?
Answer:
(2-7,2) = (-5,2)
Step-by-step explanation:
I-pod Touch for $229.99. The tax rate is 4%. What is the tox
Answer:
the tax is $9.20
у - 2x = 3
Solve for y
Answer:
y=2x+3
Step-by-step explanation:
y-2x =3
add 2x on both sides
y=2x+3
work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)
Answer:
Y=-2x+9
Step-by-step explanation:
The first thing is to know the formula which is Y÷x
Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y
So it will be Y-7÷X-1 = the gradient which is - 2
So multiply both sides by X-1
So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign
Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers
3x-9=x-8
what is X??
Answer:
x=½
Step-by-step explanation:
3x-9=x-8(Group like terms)
3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).
2x=1(Divide both sides by 2)
x=½
Answer:
0.5
Step-by-step explanation:
3x-9=x-8
3x=x-8+9
3x=x+1
3x-x=+1
2x=+1
x=1/2
x=0.5
determine the equation of the line given by the graph.
a) y=2/3x -1
b) y=3/2x -1
c) y= -2/3x -1
d) y= -3/2x -1
Answer:
Step-by-step explanation:
a) Y= 2/3X-1
help me please i have 2 more after this
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent
Please help answer this question!
Answer:
The answer will be 8.38709677419
Math question
Any complex fraction can be written as a ratio
True or False
Will give brainiest to first person to answer right
Answer:
I believe the answer is true, please let me know if I am wrong.
We are two numbers
Our median is 3
Our minimum is 2, What numbers are we?
Answer:
2,4
Step-by-step explanation:
median=3
minimum is 2
first no. is 2
second no. is 4
2x + 4y-31=123 what is the equation for x and then y
Answer:
i would say
y = ( 77 - x ) / 2
Step-by-step explanation:
2x + 4y = 123 + 31
2x +4y = 154
4y = 154 -2x
y = ( 154 - 2x ) / 4
y = ( 77 - x ) / 2
please help me fast
I give you 100 point
Answer:
a. 372
b. 708
c. 451
d. 805
e. 965
f. 620
Step-by-step explanation:
In 12 hours , the temperature fell steadily from 17F to -7F. What was the change in temperature
Answer:
the change was 24F
Step-by-step explanation:
The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3).
Answer:true
Step-by-step explanation:
The ratio table below shows the conversion between centigrams and milligrams. How many centigrams would be equal to 0.3 milligram?
Answer:
.03
Step-by-step explanation: because milligrams is 10 times as much as centimeters so if thereś .3 milligrams then you divide .3 by 10 and youĺl get .03
You want to rent the grill at the park. It cost $20 to
rent it for 2 hours. If you only need the grill for 3/4
of that time, how much will it cost to rent the grill?
Which translation takes y = | x + 2 | - 1 to y = | x | + 2 ?
Select one:
a. 2 units left, 3 units down
b. 2 units left, 3 units up
c. 2 units right, 3 units up
d. 2 units right, 3 units down
(Solve by graphing and determining the translation. Thanks in advance!)
Answer:
C
Step-by-step explanation:
y = | x + 2 | − 1 has a vertex at (-2, -1).
y = | x | + 2 has a vertex at (0, 2).
So the graph is translated 2 units right and 3 units up.
2/5[22+(-4 5/8)-(-7)]
PLEASE HELPP
Hope this helps!
Also can I please have Brainliest??
Only if I'm right of course
-5x+2y=9
y=7x
I need help with in the next 10 minutes I will give brainiest!!!!!
Answer:
x = 1 and y = 7
Step-by-step explanation:
First, you substitute the y into the first equation
-5x+2(7x)=9
-5x+14x=9
9x=9
x=1
Then put the x into the equation to find y
This is if you substitute using the second equation
y=7(1)
y=7
(n+8)+(n−12) =
what is the answer
Answer:
2n-4
Step-by-step explanation:
The value of n for the given condition is 2(n - 2).
What is simplification?To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given equation
(n + 8) + (n − 12) =
n + 8 + n - 12
solving constant separately and variables separately,
2n - 4
the common factor of 2 and 4 is 2
2(n - 2)
Hence the simplified form of an equation is 2(n - 2).
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