Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
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what number makes equation true enter the answer in the box
_ / 6 = 7
Answer:
42
Step-by-step explanation:
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1)What Is Cos(150) ,sin(150), tan(150)
Answer:
cos(150)=−√32 sin(150)=12. Explanation: First of all, observe that 150=180−30 . Then, remember that we have. cos(180−x)=−cos(x)
Step-by-step explanation:
what does zero stand for
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500
Answer:
B
Step-by-step explanation:
120/60=2
2 hours
The time required in minutes to set the sterilizer is 120. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.
The time in minutes will be calculated as:-
Time = 2 hours
Time = 2 x 60 minutes
Time = 120 minutes
Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.
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pls help thx , I’m behind ;(
You have 41 marbles in a bag. Inside the bag are 15 red marbles, 10 blue marbles, and
the rest are white. If you reach into the bag and randomly select a marble, then what is
the probability the selected marble will be red?
Answer:
15/41
There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total
A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% people
Step-by-step explanation:
Convert fraction (ratio) 24 / 6,000 Answer: 0.4%
Answer:
0.4%
Step-by-step explanation:
In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC
Answer:
hb=4√3
Step-by-step explanation:
Answer:
AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
To find AB:
∆ABC is an 30,60,90∆
Using the theorem, you can find AB = 2AC = 2*4 = 8
AB = 8
To find HB:
You need to find AH to subtract from AB
Construct CH, a perpendicular bisector to side AB
From before you can put together that m∠CAB = 60°
∆ACH is an 30,60,90∆
Using this method again, AH = AC/2 = 4/2 = 2
Then you subtract AH from AB = 8-2 = 6
HB = 6
To find the area of ∆ABC:
You use the (base*height)/2 method
base = AB = 8
to find the height, CH, you need to use the Pytha Theorem
and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]
then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]
calculate and get CH = 2[tex]\sqrt{3}[/tex]
then the height = CH = 2[tex]\sqrt{3}[/tex]
solve the area and get
Area of ∆ABC = 8[tex]\sqrt{3}[/tex]
(optional perimeter)
to find perimeter of ∆ABC:
you add AC + CB + AB
you find CB by using opposite to 30°
CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]
so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8
Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]
Hope this helps!!
a PetSmart your dad is trying to decide which type of dog food to purchase. if he is solely trying to find the product with the cheapest cost per ounce, which item should be purchase? (these prices are accurate!)
which decimal has the greatest value? 8.21, 82.19,82.09, 8.912
Answer:
82.19
Step-by-step explanation:
Look at image please help me asap
Answer: [tex]b^2[/tex]
You can write this as b^2
===================================================
Work Shown:
[tex]c = \frac{(ab^5)^{1/2}}{(ab)^{1/2}}\\\\c = \left(\frac{ab^5}{ab}\right)^{1/2}\\\\c = \left(b^4\right)^{1/2}\\\\c = b^{4*1/2}\\\\c = b^{2}\\\\[/tex]
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
Which expression would be easier to simplify if you used the associative property to change the grouping.
c? i think its c (Sorry if iim wrong)
Answer:
The answer is D
Step-by-step explanation:
The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side
Step-by-step explanation:
Given parameters:
Perimeter of triangle = 69cm;
Unknown:
Length of each side = ?
Solution:
Side a is 5cm shorter than side b;
b = a + 5 ----- i
Side c is 5 more than twice side b;
c = 2b + 5
The three sides of triangle are a, b and c;
Perimeter is the sum of sides of a body;
a + b + c = 69
From i;
a = b - 5
b
c = 2b + 5
so;
b - 5 + b + 2b + 5 = 69
4b = 69
b = 17.25cm
a = b -5 = 17.25 - 5 = 12.25cm
c = 2(17.25) + 5 = 39.5cm
8x2+4x−3 is divided by 2x−1
I hope it is helpful for you
Answer:
the answer is 1
Step-by-step explanation: i took the test on k12 hope this helps
Cuanto es 1/4 en pedazos?
Answer:
1/4 en pedazos seria 1/4 en pedazos
Step-by-step explanation:
la pregunta no tiene sentido
Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".
Step-by-step explanation:
find the midpoint of the line segment with the given endpoints (9, -8) (-10, -2)
Answer:
mid point=(-1/2,-5)
Step-by-step explanation:
What is the slope and equation of a line perpendicular to the y-axis passing through point (–5, –3)?
Answer:
Slope: m = 0
Equation: y = -3
Step-by-step explanation:
A line perpendicular to the y-axis always has a slope of 0. Slope is calculated by (y2-y1)/(x2-x1) or rise/run or delta y/delta x (they're all the same thing, delta means difference and is notated with a triangle). When there is no change in y (perpendicular to the y-axis), no matter what the change in x is, the slope will be 0.
Since it is given that one of the points has a y-value of -3, the equation for this line would be y = -3. The formula for a linear equation is y=mx+b. Since the slope is 0, the value of mx is 0, and therefore not needed in the equation. b represents the y-intercept and in this case would be -3.
Which fractions are equivalent to 9 6
Answer:
2/3
Step-by-step explanation:
The fractions which are equivalent to the fraction [tex]\frac{9}{6}[/tex] from the given options are [tex]\frac{3}{2}[/tex] and [tex]\frac{12}{8}[/tex], which are options (A) and (C).
Given a fraction [tex]\frac{9}{6}[/tex].
It is required to find the fraction which is equivalent to the given fraction.
If two fractions are equivalent, then they will be proportional.
The fraction [tex]\frac{9}{6}[/tex] can be written as [tex]\frac{3*3}{2*3}[/tex].
Here, when 3 gets canceled, the resulting fraction is [tex]\frac{3}{2}[/tex].
So, [tex]\frac{3}{2}[/tex] is equivalent to [tex]\frac{9}{6}[/tex].
And, [tex]\frac{3}{2}[/tex] is the simplest fraction that cannot be simplified further.
So, any number multiplied by it both on the numerator and denominator will be an equivalent fraction.
Multiplying both the numerator and denominator of the fraction [tex]\frac{3}{2}[/tex] by 4, the resulting fraction is [tex]\frac{12}{8}[/tex].
Hence, the correct options are (A) and (C).
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The complete question is given below.
Which fractions are equivalent to [tex]\frac{9}{6}[/tex]?
(A) [tex]\frac{3}{2}[/tex]
(B) [tex]\frac{4}{5}[/tex]
(C) [tex]\frac{12}{8}[/tex]
(D) [tex]\frac{10}{8}[/tex]
A cylindrical container can hold 4 quarts of water if its radius and height are both tripled how much water can it hold?
Answer:
108quartz
Step-by-step explanation:
Volume of a cylinder = πr²h
r is the radius
h is the height
If A cylindrical container can hold 4 quarts of water, then;
4 = πr²h ...... 1
Let the volume be x of the radius and height at tripled
h1 = 3h
r1 = 3r
X = πr1²h1
X = π(3r)²(3h)
X = 9πr²(3h)
X = 27πr²h .... 2
Divide 1 by 2
4/x = πr²h/27πr²h
4/x = 1/27
Cross multiply
x = 4×27
x = 108
Hence the container can hold 108quartz of water of the radius and height was tripled.
Solve for y
3(7y + 4) = 15y + 6y +4+8
Answer: the are no values of y that make it true
Step-by-step explanation: no solution
Answer:
-4/7
Step-by-step explanation:
The slope of the line that passes through the points (0, 3) and (5, 13) Is
Answer:
The slope would be 2
Step-by-step explanation:
For which equations is 8 a solution. select 4 answers
X+6=2
X+2=10
X-4=4
X-2=10
2x=4
3x=24
X/2=16
X/8=1
Please hurry im timed
Answer:
X/8=1
X-4=4
×+2=10
Step-by-step explanation:
hope this helps :)
7 milloin 481 thousand 624in standard form
Answer:
7,481,624
Step-by-step explanation:
Answer:
7.48 x10^6
Step-by-step explanation:
given the function f(x)=2x^3-7x^2-5x+1 find f(-2)
Answer:
-33
Step-by-step explanation:
2(-2)^3 -7(-2)^2 -5(-2) +1
-16 -28 +11
= -33
Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?
Answer:
5 twenty's 1 five
Step-by-step explanation:
20 x 5 = 100
100 = 5 = 105
Do not really understand this question anybody help ?
