Answer:
There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.
Step-by-step explanation:
We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.
If pa² + qa + r = 0 and p > 1.
Thus, D = q² - 4pr.
If D > 0, then the equation has 2 real solutions.
If D = 0, then the equation has 1 real solution.
If D < 0, then the equation has 0 real solutions.
We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:
p = 5
q = -6
r = 10
D = q² - 4pr
D = (-6)² - 4(5)(10)
D = 36 - 200
D = -164
D < 0
Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.
I hope this helps! Sorry if my English didn't really help with having a clearer explanation.
Y=4x + 6
Y = 6x - 12
Solve the systems of equation by substitution
Answer:
x=9, y=42
Step-by-step explanation:
y=4x+6
y=6x-12
Substitute the second equation into the first:
6x-12=4x+6
Subtract 4x from both sides:
2x-12=6
Add 12 to both sides:
2x=18
Divide both sides by 2:
x=9
Plug this back into one of the equations to find y:
y=4(9)+6=36+6=42
Hope this helps!
pls help need this done as soon as possible
Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.
Answer:
It is irrational because a rational number expressed as the quotient or fraction of two integers
Step-by-step explanation:
The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side?
A. 5 inches
B. 6 inches
C. 12 inches
D. 13 inches
Simplify.
(3.8w+ 4) – 1.5w+8
2.3 w+ 12
5.3 w+ 12
2.3 w-12
5.3 w-12
Answer:
2.3w +12
Step-by-step explanation:
(3.8w+ 4) – 1.5w+8
Combine like terms
3.8w-1.5w +4+8
2.3w +12
Answer:
2.3w+12
Step-by-step explanation:
Parentheses do not matter for this question.
(3.8w+ 4)–1.5w+8=
3.8w+4-1.5w+8=
Subtract 1.5w from 3.8w
2.3w+4+8=
Add 4 and 8 together
2.3w+12
Pointssss
Emma purchased a refrigerator for $1,450. It depreciates about 0.8% each year. What is the
value of the refrigerator after five years?
Answer:
This might be the answer not sure
Step-by-step explanation:
if it goes down 0.8 % every year it would be 1392
this is what I did 1,450−0.8%−0.8%−0.8%−0.8%
−0.8% I did -0.8% for every year i did 5 times for 5 years
so that the value but if u want the really accurate one then the answer is 1,392.9206056485 i hate myself for doing that but yeah thats it
How many times larger is 5 × 10 to the power of 6 than 5 × 10 to the power of 2?
Answer:
10,000
Step-by-step explanation:
The bases of the scientific notation are the same, so the answer must be a base of 10. So you just divide [tex]10^{6}[/tex] and [tex]10^{2}[/tex], you should get [tex]10^{4}[/tex], which is equal to 10,000.
The shape has an area of 60 square inches. Find the value of x.
Answer:
5 inches
Step-by-step explanation:
A=bh
A=bx
60=12x
12x=60
x=5
Answer:
x = 5 In.
Step-by-step explanation:
The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.
That would give you 5 which makes x equal to 5 inches.
PLS HELP!! IT"S DUE SOON! An iron bar that weighs 2 1/4 lb. is cut into smaller bars that weigh 6 ounces each. How many smaller bars are there?
Answer:
There are 6 smaller bars
A typical dove weighs 345g. A typical duck weighs 1.2kg. What is the difference, in grams, of the weights of a duck and a dove?
Answer:
855 grams
Step-by-step explanation:
First convert the 1.2kg into grams.
1.2kg=1200 grams.
Now we have equal units of measurement. We then subtract: 1200g-345g=855g
A = {1, 2, 5, 7} B = {3, 4, 6, 7} C = {0, 5, 8, 9} Find A∩B. A) {1,2,3,4,5,6,7} B) {1} C) {2,3,4,5} D) {7}
Answer:
The answer is option D.
A n B is { 7 }
Hope this helps.
Which of the following represents 1 < x <_ 6
a. [1/6]
b. (1,6]
c. (1,6)
d.[1,6)
Answer:
The correct answer is
b.(1,6]
The sum of the numbers 120. The third number is 4 times the second. The first number is 6 less than the second. What are the numbers?
Answer:
First number: 15
Second number: 21
Third number: 84
Step-by-step explanation:
question 3 <><><><><><><><><><><>
Answer: C. none of the above
Step-by-step explanation:
Because you are dealing with a positive and a negative number here, the only way you would be able to get a positive number out of both would be if you squared both of the numbers in parentheses. (grab a calculator and try it if you have one)
(6)^2 and (-6)^2 both give you 36.
And, 6)^3 and (-6)^3 both give you 216.
But, because there are no parentheses in the equation, then the answers would be different, so the correct answer is none of the above.
Which one is greater -3 1/4 or 3 6/25
Answer:
3 6/25 is greater
Step-by-step explanation:
Because -3 1/4 is a negative number
it is 3 1/4coz to be equal the other one had to be 3 6/24
A die is rolled. Match the events mentioned in the first column with their corresponding probability.
Answer:
Step-by-step explanation:
a number greater than 5 - 1/6
a prime number - 1/2
a number greater than 4 - 1/3
a number less than 6 - 5/6
points
In the diagram, m B = m AED, AD = 8, AC = 22, and
BC = 11. Find ED.
с
E
A
D
B
The value of ED is 4 units in the diagram.
It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.
It is required to find the ED.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have m ∠B = m∠AED both angles are equal.
And the m ∠A in the ΔADE and m ΔABC are the same.
By using the angle-angle similarity theorem ( ∵∠A=∠A)
[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]
Thus, the value of ED is 4 units in the diagram.
Learn more about the triangle here:
brainly.com/question/25813512
y=a(x-r)(x-s) what is a and r and s ?
Answer:
The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation. Negative a makes an upside-down parabola. Big a (in absolute value) makes a skinny parabola, small a a wider one.
r and s are the zeros of the quadratic function, the values of x that give y=0.
Answer:
a , r, s , x all are variables
Subtract.
5 3/4 - 2 7/8 HELLLLLLLPPPPPPPPPPP
Answer: HI, Hope this helps you dear!
Step-by-step explanation:
3/4 - 2 7/8 = 2.8755
Answer:
2 7/8
Step-by-step explanation:
5 3/4 = 23/4
2 7/8 = 23/8
23×2=46
4×2=8
46/8-23/8= 2 7/8
Identify an equation in point-slope form for the line parallel to y -
passes through (4.-5).
*+ 8 that
O A. y-5--3(x+4
O B. y-t-ix+5)
O C. y+5=(x-4)
O D. y-5--3(x-4)
SUBMIT
Helppp
im too lazy to answer my sister questions (its easy but I got something else to do) do all multiplication all way to 12
Answer:
All of the multiplications are in the image attached
Step-by-step explanation:
please mark me brainliest :)
Please mark me brainliest and I hope this helps ( I spent a lot of time on this...)!
I wrote this all out on a google doc so no, I did not copy it from the internet:
the sum of two rational numbers will always be
The sum of two rational numbers will always be rational
[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational
What is the relationship between the diameter and the circumference of a circle?
A. Diameter is about 2x the circumference.
B. Circumference is about 2x the diameter.*** My choice.
C. Diameter is about 3x the circumference
D. Circumference is about 3x the diameter.
Answer:
Thje answer is D.
Step-by-step explanation:
The circumference is always 22/7 times longer (about 3.14)
What is the volume of the rectangular prism?
A. 384 cm
6 cm
B. 96 cm3
4 cm
C. 26 cm
16 cm
D. 24 cm
Answer:B
Step-by-step explanation:
Answer: A: 384cm^3
Step-by-step explanation:
L•W•H=
Find the value of x in the given figure using properties of parallel lines. answers : A) 27° B) 18° C) 36° D) 54°
Answer:
[tex]\mathrm{B}[/tex]
Step-by-step explanation:
[tex]126+3x=180[/tex]
[tex]3x=180-126[/tex]
[tex]3x=54[/tex]
[tex]\frac{3x}{3}=\frac{54}{3}[/tex]
[tex]x=18[/tex]
Answer:
[tex]x = 18[/tex]
Step-by-step explanation:
Co - interior angles = 180°
[tex]3x + 126 = 180 \\ 3x = 180 - 126 \\ 3x = 54 \\ \frac{3x}{3} = \frac{54}{3} \\ x = 18[/tex]
The point (-2, -3) is on a circle that has center (-2,6). Find the length of the diameter of the circle.
Answer:
18
Step-by-step explanation:
√(-2 - -2)² + (6 - -3)² = 9 = radius
diameter = 2r = 18
Find the function that represents the relationship in the table
a)
y = 14x + 14
b)
y = 8x + 14
c)
y = 8x
d)
y = 14x + 8
Answer:
option B
Step-by-step explanation:
when the x value is multiplied by 8 and the result is added to 14 you will get the corresponding y value
PLEASE HELP!!!!By making minimum payments on a credit card, the consumer can A) avoid paying late fees B)pay off the balance quicker C)lessen the total amount owed D)avoid paying compounding interest
the answer is A).
Step-by-step explanation:
..........................
Answer:
I think B. I'm not sure though because i'm only 13 :(
Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?
because 18 times 100 is equal to 5 times x, which means that x is equal to 36
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
because 18 times x is equal to 5 times 100, which means that x is equal to 36
because 18 times x is equal to 5 times 100, which means that x is equal to 360
Answer:
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Step-by-step explanation:
18/5=x/100
Cross product
18*100=5*x
1800=5x
x=1800/5
x=360
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Answer:
b
Step-by-step explanation:
State the main principle of solving equations
Answer:
The main principle of solving equations is to find the unknown value
Step-by-step explanation:
For example:
[tex]x + 3 = 6[/tex]
[tex]-3=-3[/tex]
[tex]x=3[/tex]
I hope this helps
Answer:
The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.
Step-by-step explanation:
