solve the equation by completing the square. (step by step please)
4x(x + 6) = -40
Answer:
4(x+3)²+4
Step-by-step explanation:
4x²+24x+40=0
using the equation above
a:4 b:24 c:40
4(x+(24÷2x4))² + (40-(24²÷4x4))
4(x+3)²+(40-36)
4(x+3)²+4
simply the expression in the simplest form
Answer:
[tex]\frac{\sqrt[3]{20}}{5}[/tex]
Step-by-step explanation:
Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:
1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.
2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.
3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.
4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties
7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.
11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.
12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.
13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.
14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.
16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property
17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result
Which one!?!?
Help please
Answer:
Option 1
hope this helped :D
Ellen planned to interview some applicants for a position in her office. If she scheduled ½ of an hour to meet each of them, how much time did she schedule for all 6 applicants?
Answer: 3 hours
Step-by-step explanation:
From the question, we are informed that Ellen planned to interview some applicants for a position in her office and that she scheduled ½ of an hour to meet each of them.
The amount of time that she will schedule for all 6 applicants will be:
= 1/2 hour × 6
= 3 hours
Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5
Answer:
the answer is A.................
Find the value of x in the shape below.
Answer:
30 degrees
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
30
Step-by-step explanation:
Can someone help me with this equation
1a+ 6b + 4c +7a =
Answer:
8a+6b+4c is the right answer
Answer:
=1a+6b+4c+7a
=1a+7a+6b+4c
=8a+6b+4c
6r +9r - 2r - 13n combine like terms.
Answer:
13r-13n
Step-by-step explanation:
just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms
Answer:
13r-13n
Step-by-step explanation:
6r+9r = 15r
15r-2r = 13r
13r-13n
help me pleaseee will give brainliest
Answer:
[tex]x_1=5,\\x_2=2[/tex]
Step-by-step explanation:
Problem 1:
The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:
[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].
Problem 2:
The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:
[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].
Answer:
1st answer is 5°
Step-by-step explanation:
Z3 = Z7
or, 5x + 2 = 27°
or, 5x = 25°
or, x = 5°
:-))
Please help I’ll give brainliest if correct
Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2
What is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
f(x)= 4x³ – 10 g(x) = 3x - 4 /2To determine
g(f(2)) = ?
To determine g(f(2)), first, we need to calculate f(2)
so substitute x = 2 in f(x)= 4x³ – 10
f(x)= 4x³ – 10
f(2) = 4(2)³ - 10
f(2) = 32 - 10
f(2) = 22
so
g(f(2)) = g(22)
now substitute x = 22 in g(x) = [3x - 4] / [2]
g(x) = [3x - 4] / [2]
g(22) = [3(22) - 4] / [2]
g(22) = [66-4] / [2]
g(22) = [62] / [2]
g(22) = 31
so
g(f(2)) = g(22) = 31
Therefore, the value of g(22) = 31
Hence, option D is correct.
Answer:
The correct answer is D. 31.
Step-by-step explanation:
I got it right on the Plato test.
In the diagram below, AB and BC are tangent to O. What is the measure of
AC?
Answer: D. 112°
Step-by-step explanation: Just answered it...
The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.
What is circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The line segment AB and BC are the tangents drawn to the circle,
The measure of angle CBA, ∠ CBA = 68°,
The measure of the major arc, AC = 248°,
Calculate the measure of the minor arc as shown below,
∠ CBA = Major arc - minor arc / 2 (Tangent circle theorem)
68 = 248 - AC / 2
68 × 2 = 248 - AC
136 = 248 - AC
AC = 248 - 136
AC = 112°
Thus, the measure of arc AC is 112°
To know more about circle:
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Which triangle would be congruent to the original using a reflection over the x-axis
a.
b.
c.
d.
10y + x = -100
can someone help me get Y by it self
Step-by-step explanation:
10y+x=-100
10y= -100 - x
y= -100 - x/ 10
y= -10 - x/10
HEEEELP PLEASE I NEED HELP DONT SAY "I DONT KNOW" PLEASE
Step-by-step explanation:
Time taken to complete the race
= Distance / Speed
= 56 miles / (14 miles/hr)
= 4 hours. (B)
Answer:
B. 4 hours
Step-by-step explanation:
If the distance is total of 56 miles and he travels 14 miles per hour,
divide 56/14
56/14=4
4 hours to complete the 56-mile race
c) Write the equation in factored form. The equation is y= x^2 - 8x - 20 // Need answer ASAP
The first term will be an x because
x squared breaks down as x times x.
First look for factors of your constant that add to your
coefficient of the middle term in the trinomial.
Also note that the constant is negative and a negative
factors as the product of a positive and a negative.
The factors of -20 that add to -8 are -10 and +2.
So we have y = (x - 10)(x + 2).
!!!!!!!!!!!!!!!! x= and y=
Answer:
Y=16
X=32
Step-by-step explanation:
ï just know you need to do more meth
Connor and Nolan collected 183 plastic bottles from the park. Nolan collected twice as many plastic bottles as Connor. Enter the number of plastic bottles that Nolan collected.
please help me!!!!! im confused
Answer:
The interest is: $2550.00
Step-by-step explanation:
I = P x r x t
P is the principal amount, $12000.00.
r is the interest rate, 4.25% per year, or in decimal form, 4.25/100=0.0425.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 12000 × 0.0425 × 5 to get that:
The interest is: $2550.00
Help please I need help on this problem,appreciate it :)
Rewrite (squareroot n^5 p^8)
as an exponential expression
Answer:
the answer is the option : D
Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3
Answer:
(-9,5) or x = -9 and y = 5
Step-by-step explanation:
Hope this helps!
Nancy's cell phone company automatically deducts $30 from her bank
account every month to pay her bill.
Nancy does not add money to her bank account. What is the change in
Nancy's bank account after 6 months?
Answer:
5
Step-by-step explanation:
30/6=5
What is 4-3i minus 6+3i?
Answer:
-2
Step-by-step explanation:
Simplify 3 ( x + 2 ) − 2 ( x 2 + 2x − 4 ).
Which of the polynomials below represents the answer written in standard form?
Select one:
a. - 2x 2 − x + 14
b. - 2 + 7x + 2x 2
c. - 3x 4 + 14
d. 2x 2 + 7x − 2
Answer:
The polynomials that represents the answer is -2x² - x + 14 ⇒ a
Step-by-step explanation:
Let us solve the question
∵ The expression is 3(x + 2) - 2(x² + 2x - 4)
→ Multiply each bracket by the number before it
∵ 3(x + 2) = 3(x) + 3(2)
∴ 3(x - 2) = 3x + 6
∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)
∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)
→ Remember (+)(-) = (-)
∴ 2(x² + 2x - 4) = 2x² + 4x - 8
∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)
→ Multiply the (-) by all the terms in the 2nd bracket
∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8
→ Add the like terms
∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14
∴ The polynomials that represents the answer is -2x² - x + 14
Can someone help me please
9514 1404 393
Answer:
∠Z = 34°
∠T = 56°
Step-by-step explanation:
You can solve for x using the measure of the right angle:
90 = 3x +6
30 = x +2 . . . . . divide by 3
28 = x . . . . . . . . subtract 2
Then the measure of T is ...
∠T = 2x° = 2(28)° = 56°
∠Z is its complement: 90° -56° = 34°
The angle measures are ...
m∠Z = 34°
m∠T = 56°
Find each function value f(-4) if f(x) = -5x - 3
Answer: f(-4) = 17
Step-by-step explanation: Substitute (-4) for x.
f(-4) = -5(-4) - 3f(-4) = 20 - 3f(-4) = 17HELP ASAP BRAINLIEST IF UR RIGHT
If the measure of an exterior angle of a regular polygon is 24°, how many sides does the polygon have?
a. 15
b. 18
c. 14
d. 12
e. none of the above
Write down the integer values of x that satisfy the inequality -2 < x _<4
Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)
The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -2<x≤4.
The integer values of x that satisfy the inequality are
{-2, -1, 0, 1, 2, 3, 4}
Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.
To learn more about the inequalities visit:
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Can somebody help me on this please
Andre is choosing an outfit from 2 pants, 2 shirts, and 2 pairs of shoes. Pants Shirts Shoes Jeans Polo Sneakers Black pants T-shirt Flip-flops How many possible combinations are there? There are possible combinations.
Answer:
8 Possible Combinations
Step-by-step explanation:
Trust me my guy
Answer:
8
Step-by-step explanation:
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin
Answer:(-8,-4)
Step-by-step explanation: