Solve the following equation using the completing the square method:
x2+8x=3
Answer:
x= plus or minus square root of 19 -4
Step-by-step explanation:
x^2+8x ___=3
take half of your b term (8) and then multiply by two and add or subtract it to both sides
x^2+8x+16=3+16
then combine like terms
x^2+8x+16=19
then factor your quadratic equation
(x+4)^2=19
now solve for x
take the square root of (x+4)^2 to get rid of the ^2
you then also have to square the 19 because what you do to one side you have to do to the other
(x+4)= square root of 19
subtract 4 from both sides
x= plus or minus square root of 19 -4
Answer:
Step-by-step explanation:
Divide the coefficient of x by 2
8/2 = 4. Now find the square of 4 = 4² = 16
Add 16 to both sides of the equation
x² + 8x + 16 = 3 + 16
x² + 2* x * 4 + 4² = 19
{Compare with a² + 2ab + b² = (a + b)² }
(x + 4)² = 19
Both sides take square root,
[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]
x + 4 = ± 4.36
x + 4 = 4.36 ; x + 4 = -4.36
x = 4.36 -4 ; x = -4.36 - 4
x = 0.36 ; x = - 8.36
5x-4=11
Can anyone answer this for me
Answer:
3
Step-by-step explanation:
5x=11+4
5x=15
x=15/5
x=3
Answer:
x=3 is the answer.
The numbers shown above belong to which of the following sets of numbers?
I. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers
A.
I, II, III, and IV
B.
I and IV only
C.
II only
D.
I only
The answer is iii which are whole numbers
The correct way of representing different types of numbers is,
B. I and IV only
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set
Complex numbers (a + ib)
Real numbers Imaginary numbers.
(a + i0) (0 + ib)
Rational numbers Irrational numbers
(perfect squares) (non-perfects squares)
Fractions.
(p/q, q ≠ 0)
Integers.
(whole nos. -: 0 to ∞)
(negative integers -: - ∞ to - 1)
(positive integers -: 1 to ∞)
The type of numbers in which every next type is a subset of the previous type is Natural numbers ⊂ Whole numbers ⊂ Intergers ⊂Rational numbers.
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-15x =225
ayudaaaaaaa
Answer:
15
Step-by-step explanation:
225 divided 15 equals 15 so 15 times 15 equals 225
Please help me with this
Answer:
abcdefghijklmnopqrstuvwxyz
Step-by-step explanation:
know i know my abcs why wont you sing with me
HEEEEEEEEEEELLLLLLPPPPP!!!!!!!! what is ivory
Answer:
Ivory is a hard, white material from the tusks and teeth of animals, that consists mainly of dentine, one of the physical structures of teeth and tusks. The chemical structure of the teeth and tusks of mammals is the same, regardless of the species of origin.
Step-by-step explanation:
.
on top of a monthly charge, averys cellphone company adds a fee for each text message snet. averys june bill was 50.79 which covered 104 text messages. the bill for may, which covered 83 text messages was only 46.59
The price for the text message that is charged by the cellphone company will be $0.2.
Let the fixed monthly charge be mLet the fee for each text be n.Based on the above, the equation to represent the information given will be:
m + 104n = 50.79 ....... equation i
m + 83n = 46.59 ......... equation ii
Subtract equation ii from i
21n = $4.2
Divide both side by 21
21n/21 = $4.2/21
n = $0.2
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Given the f(x) =8(3-x) what is the value of f(-1)
Answer:
32 alternative forms: 2⁵
Step-by-step explanation:
Answer:
f(-1)=32
Step-by-step explanation:
f(x) =8(3-x)
f(-1)=8(3-(-1))
f(-1)=8(3+1
f(-1)=8*4
f(-1)=32
can one of you unhelpful users answer the question without putting links as a d a m n answer?
1. A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit.
2. A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1.
Answer:
1) [tex]y-6=-\frac{2}{3} (x-1)[/tex] and 2) [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]
Step-by-step explanation:
Ikr the bots are annoying.
Point-slope form is written as: [tex]y-y_1=m(x-x_1)[/tex]
Slope intercept form is written as: [tex]y=mx+b[/tex]
We also need to find the slope before putting it in this form, which can be done by [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
1) Points given are (1,6) and (-2,8)
Slope: [tex]m=\frac{8-6}{-2-1} =-\frac{2}{3}[/tex]
You can choose either of the two points to put into the formula. I just chose (1,6)
Answer: [tex]y-6=-\frac{2}{3} (x-1)[/tex]
2) Same points as before and we have the same slope as before. All we need is to find the y intercept which is our b in the equation. You can easily do this by plugging in a point and solving for b. I will choose point (1,6) again.
[tex]6=-\frac{2}{3} (1)+b[/tex]
[tex]6=-\frac{2}{3} +b[/tex]
[tex]6+\frac{2}{3}=-\frac{2}{3} +\frac{2}{3} +b[/tex]
[tex]b=6+\frac{2}{3}=\frac{20}{3}[/tex]
Answer: [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]
find the values of the ratios (red to blue) of the perimeters and areas of the similar figures
Answer:
perimeters equal 7/6 and area equals 49/36
Step-by-step explanation:
The ratio of perimeters is equal to the scale factor. To find the scale factor setup a fraction, red/blue since that's what it says in the directions.
The ratio of areas is the scale factor squared.
[tex] {( \frac{7}{6}) }^{2} [/tex]
that means 7x7 and 6x6
Solve for x
1. x/5 + 4=6
A x= -1
B. x= -8
C. x= 13
D. x= 10
E. x=1/3
f. x=8
Answer:
D. x=10
Step-by-step explanation:
6 - 4 = 2
5 x 2 = 10
10/5 + 4 = 6
:)
MATCH THE VOCABULARY WORD WITH THE CORRECT DEFFINITION
1. translation
2. rotation
3. transformation
4. reflection
(A) in geometry, a change in the position or shape of an object on a coordinate plane involving one or more dilations, reflections, rotations, or translations of the object
(B) a change in the orientation and position of an object on a coordinate plane in which the object is "flipped" across a line on the plane, which is usually horizontal ( y = a) or vertical ( x = b), and which results in two or more sides of the object being swapped so as to preserve the size and shape of the original object
(C) a change in the position of an object on a coordinate plane in which the object is moved horizontally or vertically to a new position in which its shape and size stays the same
D) a change in the orientation and position of an object on a coordinate plane in which the object is rotated about a point on the plane, which preserves the size and shape of the original object
Answer:
1: C
2: D
3: A
4:B
Step-by-step explanation:
Consider these four number lines of solutions. 4 number lines going from negative 5 to positive 5. Graph A: a point is at negative 4. Everything to the left of the point is shaded. Graph B: a point is at negative 4. Everything to the right of the point is shaded. Graph C: Points are at negative 4 and positive 4. Everything to the left of negative 4 and to the right of positive 4 is shaded. Graph D: points are at negative 4 and positive 4. Everything between the points is shaded. Which graph represents the solution to the inequality |k|StartAbsoluteValue k EndAbsoluteValue greater-than-or-equal-to 4? graph A graph B graph C graph D
Answer:
graph C
Step-by-step explanation:
What is common fraction?
a fraction (such as ¹/₂ or ³/₄) in which the numerator and denominator are both integers and are separated by a horizontal or slanted line — compare decimal fraction.
Thank You !!!What is g(-5)=-x-4 ?
Hello!
Answer:
g=(-x-4)/5
x=5g-4
Step-by-step explanation:
Hope this helps!
please someone help me. Im giving brainliest!
10x-45-4x-2
6x- 47= 1
6x=1+47
6x=48
x=8
PLEASE MARK BRAINLIEST
Answer:
10x-45-4x-2
6x- 47= 1
6x=1+47
6x=48
x=8
What is the slope of the line
Answer:
3/3=1/1=1 is the slope
Step-by-step explanation:
the rise is 3 and the run is 3
Hope it helps!
what times 3 equals 0.5?
[tex](x)3=0.5[/tex]
Answer:
.16666667
Step-by-step explanation:
(x)3=0.5
divide both sides by 3
x =.16666667
MIREN LA IMAGEN Y RESPONDE
Answer:
E
Step-by-step explanation:
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish
minutes.
O f(x)=x+4
O f(x)=- tox+4
O f(x)=-*x+10
O f(x)=-*x+10
Please Real answers only, i beg you.
ADD
3xyz + 7xyz + 9xyz
Answer:
19xyz
Step-by-step explanation:
First, let us just forget about the xyz at the end of each number. Now, we just have the simple addition problem 3 + 7 + 9. First. let us do 3 + 7, which gives us 10. Now, let us take our 10 and add the 9 to it. 10 + 9 is 19. Now, we can add our xyz back to the equation. Now, we have 19xyz. As we do not know anything about what x, y, or z equals, nothing further can be done with this equation. Therefore, the answer is 19xyz.
Hope this helps! :D
Answer: 19xyz
Step-by-step explanation:
I literally just learned this right now bc i'm in school
The Lopez family spends 28% of their monthly budget on housing. What is the equivalent fraction of the family’s budget that is spent on housing?
please help me .
We are required to find the equivalent fraction of the family’s budget that is spent on housing
fraction of the family’s budget that is spent on housing is 7/25
let
Total budget of the family = x
Monthly housing budget = 28%
percentage monthly housing budget = 28% of x
= 28/100 × x
= 0.28x
Fraction of the family’s budget that is spent on housing = 28/100 × x
= 7/25 × x
= 7/25x
Therefore, fraction of the family’s budget that is spent on housing is 7/25
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Dan rolls a fair dice 24 times.
How many times would Dan expect to roll a number greater than 1?
Help please! Will give brainlist for correct answer with steps. If you’re a troll I will report!
Answer:
x²-10x+34=0. here u go I'm 12
I NEED THE RIGHT ANSWER ASAP NO LINKS!!!
Answer:
20
Step-by-step explanation:
coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
(2) Samantha is ordering some clothes from her favorite online retailer. Her total for
the clothes is $78.00. She has a code to use that will save her 15% before a
8.250tax is added. What is Samantha's total cost?
HELP!!! Please and maybe hurry??
What is the slope of the line through the points (-4, 2) and (-16, -6)?
3/2
-5/2
2/3
2/5
Answer:
i don't know if you still need the answer but if you do i will help you
Step-by-step explanation:
(-2)^6 + (-3)^2
Evaluate The Problem
Answer:
73
Step-by-step explanation:
(−2)
6
+(−3)
2
Calculate −2 to the power of 6 and get 64.
64+(−3)
2
Calculate −3 to the power of 2 and get 9.
64+9
Add 64 and 9 to get 73.
73
jeff decides to go to an outdoor skating rink the rink charges to rent a pair of skates and every hour of skating costs 2.00$ per person jeff. has at most 20$ to spend and needs to rent a pair of skates
Answer: The most amount he can rent the skates are 10 hours
Step-by-step explanation: if you divide the 2 by 20 it will be 10
help me please anyone please
Answer:
b=5 m
Step-by-step explanation: