Answer:
no real solutions
Step-by-step explanation:
x² + 6x + 12 = 0
the general solution :
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 6
c = 12
the discriminate is (b² - 4ac).
so,
x = (-6 ± sqrt(6² - 4×1×12))/(2×1)
the discriminate is
6² - 4×12 = 36 - 48 = -12
this is negative, so via the square root of a negative number we get 2 complex (imaginary) solutions.
Which value can be placed under the radical symbol to make this statement true?
Answer:
D) 875
Step-by-step explanation:
5∛7
= ∛5³ x 7
= ∛125 x 7
= ∛875
The answer is :-
D) 875
Answer:
[tex] \sqrt[3]{x} = 5 \sqrt[3]{7} \\ {x}^{ \frac{1}{3} } = 5( {7}^{ \frac{1}{3} } ) \\ {( {x}^{ \frac{1}{3} } )}^{3} = (5( { {7}^{ \frac{1}{3} } )}^{3} \\ x = {5}^{3 } 7 \\ x = 125 \times 7 \\ x = 875 \\ the \: answer \: is \: d \: 875[/tex]
Find the quotient.
(-6) ÷ (-7)
6/7
-6/7
-42
42
The two negatives cancel out when we divide or multiply. Think of negative as opposite. Having two opposites cancel.
The slash means fraction and it also means division
6/7 = 6 divided by 7
6/7 = six sevenths
So that allows us to go from fraction to decimal form 6/7 = 0.857 approximately after using your calculator or long division.
what is 700 times 18
Answer:
12,600
Step-by-step explanation:
Answer:
12,600
Step-by-step explanation:
700 x 18 = 12,600
How much simple interest does $2,560 earn in 17 months at a rate of 11
%. Round to the nearest cent (hundredth). What will be the new
balance?
Answer:
You end up with $15,091.44 This means you earned $12,531.44
Step-by-step explanation:
find the length for x
Answer: 6
Step-by-step explanation:
By the triangle midsegment theorem, x=3(2)=6.
Thursday
Evaluate the following expression. Show your
steps.
Step 1: Plug in (substitute)
Step 2: Solve.
3(b + 8); b = 9
Motob
Answer:
51
Step-by-step explanation:
3(b+8)
3(9+8)
3(17)
51
If f(x) = 5x +40, what is (fx) when x =-5?
a -9
a -8
c 7
d 15
Answer:
D.
Step-by-step explanation:
f(x) = 5x+40
f(-5) = 5(-5)+40
f(-5) = -25+40
f(-5) = 15
I dont know what the axis of symmetry is...
Answer:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. ... The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation:
if a fration can be written as a repeating deciamal, only one dgit can repeat over and over, wothout end. true or false
Answer: False
Step-by-step explanation:
Find three consecutive even numbers such that five times the smallest number is equal to twice the sum of the other two number
Answer:
let the integers be n, n+2 and n+4
5(n+4) = 2(n + n+2) +42
5n +20 = 4n +4+42
n = 46 -20 = 26
Step-by-step explanation:
I think
add one line to each of the diagrams below so that the resulting figure has rotational symmetry but no line symmetry.
Answer:
Pardon my sloppy drawing.......
==
If f(x) is a linear function, f( – 4) = 4, and f(1) = – 5, find an equation
for f(x).
In complete sentences, compare and contrast the metric system and the U.S customary system. Which system is it easier to convert? Explain.
Answer:
232423
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2-19x+23=0x
2
−19x+23=0, which number would have to be added to "complete the square"?
The number that needs tο be added tο cοmplete the square is 90.25.
What is the quadratic equatiοn?In algebra, a quadratic equatiοn is any equatiοn that can be rearranged in standard fοrm as where x represents an unknοwn value, and a, b, and c represent knοwn numbers
Tο cοmplete the square fοr the quadratic equatiοn x² - 19x + 23 = 0, we need tο add a number that is equal tο half οf the cοefficient οf x (which is -19) squared.
Sο,
(-19/2)² = 90.25
Therefοre, we need tο add 90.25 tο bοth sides οf the equatiοn:
[tex]x^2 - 19x + 23 + 90.25 = 90.25[/tex]
Then we can rewrite the left side as a perfect square:
[tex](x - 9.5)^2 = 90.25[/tex]
Now we can take the square root of both sides to solve for x:
x - 9.5 = ±√(90.25)
x = 9.5 ± 9.5√(2)
Hence, the number that needs to be added to complete the square is 90.25.
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Answer: 90.25
Step-by-step explanation:
If A=[tex]\left[\begin{array}{ccc}1&4\\5&6\\\end{array}\right][/tex] and aij =6 then find the value of i and j
[tex]\longrightarrow[/tex]In a matrix the the the position of an element is determined by using a[tex]_{ij}[/tex] where i the number of row and j is number of column in which the element is.
[tex]\leadsto[/tex]Since 6 is in 2nd column and 2nd row , it's position can be written as a[tex]_{22}[/tex]
Comparing with a[tex]_{ij}[/tex]
i = 2j = 2declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly. what will be the balance after 5 years?
Answer:
the answer should be $994.5
The balance after 5 year comes out to be $3552.80
What is compound interest ?Compound interest is the interest on savings that is computed using both the original principal and the interest accrued over time. It will accelerate the growth of a sum more quickly than simple interest, which is only applied to the principal sum.
Here,
The declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly.
Thus rate= 3.4% and principle amount = 850
Therefore it is compounded quartely,
The balance after year=
[tex]C=Pe^{rt}[/tex]
[tex]C= 850 e^{3.5(5)}\\\\C= 850 e^{17.5}[/tex]
C = 3552.80
Therefore, the balance after a year comes out to be $3552.80
Therefore the balance comes out to be after compounded annually is
$3552.50
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I need Help please! I am on a math quiz and am stuck
Answer:
uh i think is uh carrot
Step-by-step explanation:
Answer:
64cm
Step-by-step explanation:
Can someone help me?
Answer:
14/81
Step-by-step explanation:
you plug in 5 for x
Dana helped her dad build a sandbox for her younger sister. The sandbox is shaped like a rectangular prism that is 4 1 2 feet long and 4 feet wide. Dana used bags of sand to fill the sandbox 1 2 of a foot deep. Each bag contains 1 2 of a cubic foot of sand. How many bags of sand did Dana use?
The number of bags of sand needed to fill the sandbox is 18 bags
How to find volume of a rectangular prismLength = 4 1/2 ftWidth = 4 ftHeight = 1/2 ftQuantity of each bag of sand = 1/2 ft³Volume = L × W × H
= 4 1/2 × 4 × 1/2
= 4.5 × 4 × 0.5
= 9 ft³
Number of bags of sand needed to fill the sandbox = volume of the sandbox ÷ quantity of each bag
= 9 ft³ ÷ 1/2 fr³
= 9 × 2/1
= 18 bags
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what would the answer to 4 2/3 - 1 1/3 divided by 2
Answer:
I believe the answer is 1/2
Step-by-step explanation:
4*3=12+2=14,14/3
1*3=3+1=4
14/3+4/3=18/3 divided by 2=6/3 simplified to 1/2
I got the 6/3 by dividing 18 by 2 and 3 by 1
Answer:
4
Step-by-step explanation:
If you know what Pemdas is then you must do dividing first.
1 1/3 divided by 2 is 2/3. 4 and 2/3 minus 2/3 equals 4.
Hope this helps. :)
PLEASE CAN I HAVE HELP
Answer:
1.28
is the answer :) since the number after 7 is 5 you round up
Answer: 1.28
The 7 is in the hundredth's place, and since there is a 5 after it, we round up.
Name the quadrant or axis where each point lies.
Answer:
(-6, -3) => Quadrant III
(0, 3) => y-axis
(5, -4) => Quadrant IV
(-7, 6) => Quadrant II
Step-by-step explanation:
If x and y values given, use this key to find which quadrant the point lies in.
(x , y) =
(+, +) => 1st Quadrant (-, +) => 2nd Quadrant(-, -) => 3rd Quadrant(+, -) => 4th Quadrant(x, 0) => x-axis(0, y) => y-axisThe given points :-
(-6, -3) => Quadrant III(0, 3) => y-axis(5, -4) => Quadrant IV(-7, 6) => Quadrant IIWhich is the value of g(−5) if g(x)=3.4x−8?
help me pls
Find the value of x.
Answer:
33
Step-by-step explanation:
The bottom angle is a completely straight line, and that means the angle is 180 degrees.
180 - 81 = 99
So, this means 3x = 99. We need to isolate the variable, so we have to divide everything by 3.
x = 33
Answer:
waaait i know how to do this lol ( i feel like this is correct)
x = 33
Step-by-step explanation:
so a line is 180 right?
so make the equation like this
180 = 81 + 3x
now solve for x by doing algebra
(minus both sides by 81)
3x = 99
x = 33
For what values of a are the following expressions true?
| a + 5 | = -5 - a
Answer:
not sure if there are more but a=-5
Step-by-step explanation:
|a+5|=-5-a
|-5+5|=-5 - - 5
|-5+5| = -5 + 5
| 0 | = 0
0=0
Answer:
5-5=0+5=5 so the answer is five
Does anyone know the answer?
Answer:
4/19
Step-by-step explanation:
Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon in nets that hold 15 15 fish, while Dana caught salmon in nets that hold 18 18 fish. What is the minimum possible number of fish each must have caught?
Answer:
The minimum number of fish each must have caught is 90 fishes
Step-by-step explanation:
The number of fishes Tisha's net can hold = 15
The number of fishes Dana's net can hold = 18
Let the total number of fishes both Tisha and Dana caught = X
15 × A = 18 × B = X
Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;
15 = 3 × 5
18 = 3 × 6
Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90
Which gives, the minimum number of fish each must have caught = 90 fishes.
8. Use the general formula for an exponential function, f(x) = a. b, to write a specific function given an
initial value of 61 and a growth factor of 3.5.
Answer: f(x) = 61(3.5)^x
Step-by-step explanation:
This is what the variables always mean in the function:
a = initial value
b = growth factor
x = time
Then, you just plug them in! Hope this helps.
Nam-Joon created a painting with an area of 30 square feet and a length of 5 feet. He creates a second painting with an area of 24 square feet. It has the same width as the first painting. What is the length of the second painting
Answer:
4 feet
Step-by-step explanation:
Divide 30 by 5 to get the width of the first painting, 6 feet. Divide 24 by 6 to get the length of the second painting, 4 feet.
Hopefully this helps- let me know if you have any questions!
Sydney bought a new 75" Samsung TV at a 10% decrease on the original price. The sale price was $3. 999. What was the original price (to the nearest cent)?
Answer:
4.3989
Step-by-step explanation:
bec we will do 3.999 +10% and this should give us the right answer