Answer: x= 4 ± [tex]\sqrt{-3}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex] + 8x + 19 = 0 First subtract 19 from both sides
-19 -19
[tex]x^{2}[/tex] + 8x = -19 Now to complete the square on the left side you will divide 8 by 2 and square the number that you will get and add it to both sides. If you divide 8 by 2 you get 4 and 4 squared is 16 .So add 16 to both sides.
x^2 + 8x + 16 = -19 + 16 Now factor the left side
(x+4)^2 = -3 Take the square root of both sides
(x+4) = ±[tex]\sqrt{-3}[/tex]
Subtract 4 from both sides
x = ±[tex]\sqrt{-3} - 4[/tex]
Those are the math questions I need the answers of
Answer:
1)
[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]
[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]
[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]
[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]
[tex]25\sqrt{2}[/tex]
2)
[tex]\frac{1}{5+2\sqrt{6}}[/tex]
Multiply [tex]5-2\sqrt{6}[/tex]:
[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]
Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]
[tex]\frac{5-2\sqrt{6}}{1}[/tex]
[tex]{5-2\sqrt{6}}[/tex]
a = 5, b = -2
Which is the graph of the inequality: y< (1/2x -2)^3
Step-by-step explanation:
Rearrange the equation so "y" is on the left and everything else on the right. or below the line for a "less than" (y< or y≤).
Describe the 6 ways to transform a function.
What is the quotient of 9.5 divided by 2
the answer is 4.6 because I divided it
The quotient of the division are solved and A = 9.5/2 = 4.75
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
where the value of p = 9.5
Let the denominator of the fraction be q
where q = 2
Now , the fraction is A = p/q
On simplifying the expression , we get
So , the left hand side of the equation is equated to the right hand side by the value of p/q
A = 9.5/2
On further simplification , we get
A = 4.75
Therefore , the value of A = 4.75
Hence , the fraction is A = 4.75
To learn more about fractions click :
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Mr Chan bought 20 computers and 25 printers for $30 000. Each computer costs $1250. At a promotion sale, Mr Chan sold each computer at $1700 with a free printer. The selling price of each printer when sold separately was $250.
Find the cost price of each printer.
Answer:
$200.
Step-by-step explanation:
Each computer costed $1,250.
Mr. Chan bought 20 computers.
20 × $1,250 = $25,000
$25,000 out of the $30,000 was spent on computers. That leaves $5,000. Which means $5,000 was spent on the printers.
$5,000 ÷ 25 = $200
(25 = amount of printers.)
So each printer was $200.
Solve for a brainlist
(Goes to first person)
7•3=?
Answer:
21Step-by-step explanation:
[tex]7\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:7\cdot \:3=21\\=21\\[/tex]
Answer:
21
Step-by-step explanation:
50 POINTS Iann bought a carpet to cover 500 square feet. He wants to cover a room that is 10feet and 5 inches long by 9 feet and 7 inches. About how much will he have left over for the rest of the house?
Answer:
20.85 ft
Step-by-step explanation:
first convert 7 in to ft than add 9 to it
10×5×9.583 = 479.15ft that's how much carpet he needs for his room
500-479.15= 20.85ft left for the rest of his house
factors of 4x^3-14x^2+12x
Step-by-step explanation:
4x³ - 14x² + 12x
= 2x[2x² - 7x + 6]
= 2x[(2x-3)(x-2)]
= 2x(2x-3)(x-2)
3. Multiply
(5 points)
O
33
-6
40
O
mo
O
Answer: -7920
Step-by-step explanation: 33x-6x40= -7920
Please Help :)
What is the distance between the points in the image below?
Answer:
5?
Step-by-step explanation:
You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5
the graphs show how many words per minute 2 students read
Answer:
Step-by-step explanation:
first student read 120 words words per minute.
second student read 185 words per minute.
What is the value of g? 2/5(g−7)=3 Enter your answer as a mixed number in simplest form in the box. g = $\text{Basic}$
Answer:
14 1/2
Step-by-step explanation:
I took the quiz in K12
Answer:
aye whatup my bros yall also in k12 noice im in 8th grd
Step-by-step explanation:
A grocery store sells a bag of 3 oranges for $2.79. How much would it cost for 4 oranges?
Answer:
$3.72
Step-by-step explanation:
$2.79 divided by 3 equal 0.93.
0.93 times 4 equals 3.72.
Answer:
$3.72
Step-by-step explanation:
Step 1:
$2.79 ÷ 3 = 0.93
Step 2:
0.93 × 4
Answer:
$3.72
Hope This Helps :)
please solve 6 number
Answer:
5
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Here sum = 75, mean = 15 and let n be count, thus
[tex]\frac{75}{n}[/tex] = 15 ( multiply both sides by n )
75 = 15n ( divide both sides by 15 )
5 = n ← number of terms
Answer:
The answer to 6 is 5
Step-by-step explanation:
Find the value of each variable (x in this case)
2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.
2x + 4x + 108 = 180
Combine like terms
6x + 108 = 180
Subtract 108 from both sides.
6x = 72
Divide both sides by 6
x = 12
Copy and fill in the charts.
Answer:
15% = 3/20 = 0.15
1.25 =125% =5/4
12 3/8 = 12.375 = 1237.5%
Step-by-step explanation:
15% to fraction , then decimal ;
[tex]15\% = \frac{15}{100} \\Cross\:cancel\:common\:factor ; 5\\\\15\div 5 = 3\\100\div 5 = 20\\\\= \frac{3}{20}\\\\\frac{3}{20} = 0.15[/tex]
1.25 to fraction , then percentage
[tex]1.25 = \frac{1.25}{1} \times \frac{100}{100} \\\\1.25\times 100 =125\\1\times 100 = 100\\\\= \frac{125}{100} \\= \frac{5}{4} \\\\1.25\times 100\\= 125\%[/tex]
12 3/8 to decimal then percentage
[tex]12\frac{3}{8} =\frac{99}{8} = 12.375\\\\12.375\times 100\\\\= 1237.5\%[/tex]
9. Fill in the blank. -8 +_= -15
10. Fill in the blank. 12 +_=-30
Please respond quickly thank you!
Step-by-step explanation:
9. -8+(-7)=-15
10. 12+(-42)=-30
Dan earns £400 over the course of a five-day week. How much is that per day?
Answer:
80
Step-by-step explanation:
Answer:
80 dollars a day
Step-by-step explanation:
400 divided by 5
= 80
hope this helps
What is the value of -6^2?
-12
036
-36
12
Answer:
21
Step-by-step explanation:
Steps to solve:
-6^2
-6 * -6
6 * 6
36
Best of Luck!
1. Which conditional statement has a true truth value? a. If a shape is a quadrilateral, then it is a square. b. If the sum of two numbers is positive, then both the addends are positive. c. If an angle has a measure of 180 degrees, then it is an acute angle. d. If a figure is a square, then it has four sides.
Answer:
B I believe
Step-by-step explanation:
Round to the nearest thousandth: 4.3218 →
Answer:
4.322
Step-by-step explanation:
You would round up because of 8.
Hope this helps!! :D
Answer:
4.322
Since 8 is greater than 5, you round upwards.
Mr. Alfred’s car gets 12 miles per gallon. He drives to West Harlem for a weekend to visit his grandmother. He uses 6 gallons of gas. How many miles did he drive?
Answer:
72 miles.
Step-by-step explanation:
If he uses 6 gallons of gas, you would do 6 (gallons he used) x 12 (miles per gallon) equaling 72.
Which decimal is equivalent to 56?
Answer:
0.56
Step-by-step explanation:
Jasmine has 8 packs of candle wax to make scented candles. Each pack contains 14 oz of wax. Jasmine uses 7 oz to make one candle. How many candles can she make?
11> -13+6n Another solve for the inequality ?
The answer is 4 > n.
24 >6n
4 > n
Answer:
4>n
Step-by-step explanation:
11+13>6n
24>6n
4>n
The height of a tree is 38 inches. After 4 years, the height is 9 feet 10 inches. How many inches did the tree grow each year?
The tree grows linearly, then the tree grows each year will be 20 inches.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The height of a tree is 38 inches.
After 4 years, the height is 9 feet 10 inches.
1 ft = 12 inches
9 ft = 180 inches
Then 9 ft and 10 inches will be
→ 108 + 10
→ 118 inches
The tree grows in 4 years and will be
→ 118 - 38
→ 80 inches
Let the tree grows linearly, then the tree grows each year will be
→ 80 / 4
→ 20 inches
More about the linear system link is given below.
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You sold 60 units of candy. The amount
you got from seling candy is $210. How
much are you selling candy for?
Answer:
$3.50
Step-by-step explanation:
if x=2⅓-2, then find the value of x³+6x²+12x
4 19/27
Step-by-step explanation:x = 2 1/3 - 2
= 1/3
x³ + 6x² + 12x =
= (1/3)³ + 6(1/3)² + 12(1/3)
= 1/27 + 6×1/9 + 12×1/3
= 1/27 + ⁹⁾2/3 + ²⁷⁾4
= (1 + 18 + 108)/27
= 127/27
= 4 19/27
for auto tech and uhh it’s rlly just about starting a toolbox with tools sort of deal thing with a $600 budget
The differences in y-values the differences in y- values produced by a constant change in x- values in a function are called
differences.
Answer:
y equals the value of it answer on the question if you compare two apples
Step-by-step explanation:
i took the test to find out