Answer:
a = -40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]-2 = 6 + \frac{a}{5}[/tex] [tex]-2 = 6 + \frac{1}{5}a[/tex] [tex]-2 = \frac{1}{5}a + 6[/tex] [tex]\frac{1}{5}a + 6 = -2[/tex]Step 2: Subtract 6 from both sides.
[tex]\frac{1}{5}a + 6 - 6 = -2 -6[/tex] [tex]\frac{1}{5}a = -8[/tex]Step 3: Multiply both sides by 5.
[tex]\frac{1}{5}a * 5 = -8 * 5[/tex] [tex]a = -40[/tex]Therefore, a = -40. I hope this helped you!
Answer:
-40 = a
Step-by-step explanation:
-2=6+a/5
Subtract 6 from both sides of the equation-8 = a/5
Multiply both sides by 5(5)-8 = a/5(5)
-40 = a
Could someone answer all 3 questions?
Step-by-step explanation:
a:
-2
b:
(-12m^5 * n^3) / (6m^5 * n^3)
c:
I don't what the two methods is,so I have no idea
Find the slope of the line that passes through (-1, -1) and (98, 87).
The question gives us two points, (-1, -1) and (98, 87), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (87 - (-1)) ÷ (98 - (-1))
= (88) ÷ (99)
= ⁸/₉
Checking my answer visually:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.
⇒ y - (-1) = ⁸/₉ (x - (-1) [using the point (-1, -1)]
y + 1 = ⁸/₉ (x + 1)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
20 students are standing in a line to buy food at football game the first three students spend 24$ on food how much do thr first three stundents spend on food per person
Answer:
The first 3 student spend $8 per person
Step-by-step explanation:
1. $24=3x (divide both sides by 3)
2. $8=x
Hopefully I understood the question correctly
please help me.... duogqfhefbjehfyugihkbjnfjkhdsg
Answer:
B. 12w + 62 = 242 is the answer Happy to Help :)
Step-by-step explanation:
if a >b, then ac> bc true or false?
Answer:
False
Step-by-step explanation:
a>b
Let c> 0 then ac>bc because we are multiplying by a positive number
if c<0 then ac < bc because we are multiplying by a negative number we have to flip the inequality symbol
Since we do not know the value of c, we have to go with false
simply the following
Answer:
6x^6..........................
which ordered pair is a solution of the equations y=-5/4x-2
A.(-8,8)
B.(8,-8)
C.(-8,-12)
D.(1, 15/4)
Find the square root of "-2.5"
Answer:
1.58113883 i
Step-by-step explanation:
√-2.5 is error
1.58113883 i
i the square root of negative one.
Any number times itself is a positive number (or zero), so you can't ever get to a negative number by squaring. Since square roots undo squaring, negative numbers can't have square roots.
Answer:
[tex]1.58\ i[/tex]
Step-by-step explanation:
Step 1: Determine the square root of -2.5
The [tex]\sqrt{-1}[/tex] is equal to i so we can say that [tex]\sqrt{(-1)^2}[/tex] is equal to [tex]\sqrt{i^2}[/tex] which is then equal to [tex]i[/tex]. This means that we have [tex]i\sqrt{2.5}[/tex].
We can then take the square root of 2.5 which is rounded to [tex]1.58\ i[/tex]
Answer: [tex]1.58\ i[/tex]
Determina si los pares de líneas son paralelos, perpendiculares o ninguno de los dos.
Selecciona la respuesta correcta para las partes identificadas con letras.
a. x - 5y = 10; y = x + 4
(select)
b.
x+y =
+ y = 8; y = -7x
(select)
c. 5x – 3y = -1; 5y = -3x + 2 ||(select)
(select)
d. y = 4x - 1; 12x – 3y = 12
e. 5y = 3x + 1; 10x + 6y = 12 | (select)
Answer:
256
Step-by-step explanation:
the rule f(x)=50x - 8.5 represents the amount of a drug in milligrams, f(x), which remains in te blood stream after x hours. evaluate f(1.5)
Answer:
66.5
Step-by-step explanation:
I need help on numbers 1 and 2, please
Answer:
2 would be a':-8,-8 b': -8,4 c': 8,10 d': 8,-6
pls help!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
it's triangle, all corners sums 180
11X+6=40+7X+2
X=9
At a bookstore used hardcover books sell for $8 each and used softcover books sell for $2 each. You purchase 36 used books and spend $144. How many softcover books do you buy?
Answer:
Step-by-step explanation:
Let H be the number of harcover, and S the number of softcover books.
We know that:
H+S=36
and $8*(H) + $2*(S) = $144
Rearrange the first: H = 36 - S
Use this definition of H in the second equestion:
$8*(H) + $2*(S) = $144
$8*(36-S) + $2*(S) = $144
$288 - 8S + 2S = $144
-6S = -144
S = 24
This means H = 36 - S is:
H = 36 - 24
H = 12
"You" purchased 24 softcover and 12 hardcover books.
Check the results: 24*2 + 12*8 = 48 + 96 = $144 It
works.
[tex]4 - x = 10[/tex]
what's the answer
4 - x = 10
-x = 10 - 4
-x = 6
x = -6
Answer:
x = -6
Step-by-step explanation:
[tex]4-x = 10\\\\4 = 10 + x\\\\4-10 = x\\\\x = -6[/tex]
Feel free to mark this as brainliest! :D
If matrix A and B are inverses of each other,then A times B=I,where I is the identity matrix
We want to see if the given statement is true. (which is, by definition).
We define two inverse matrixes A and B as two matrixes that when multiplied are equal to a matrix with only ones in the diagonal.
This matrix with only ones in the diagonal (and zeros every else) is called the identity matrix.
Then the statement:
"If matrix A and B are inverses of each other, then A times B=I,where I is the identity matrix"
Is true by definition of inverse matrixes.
If you want to learn more, you can read:
https://brainly.com/question/4017205
The polynomial f(x) = x³-x²+px+q, where p and q are constants, has remainder 8 when divided by (x-1). If (x+1) is factor of f(x), find the values of p and q
Answer:p=-1 and q=1
Step-by-step explanation:
Answer:
p=3, q=5
Step-by-step explanation:
f(x) = x³-x²+px+q
factor: x+1 = 0 x = -1
(-1)³ - (-1)² + p*(-1) + q = 0
-2 - p + q = 0
p = q-2
(x-1) is factor of f(x) - 8, root x = 1 : f(x) = x³-x²+(q-2)x+q-8
(1)³ - (1)² + (q-2)(1) + q - 8 = 0
q - 2 + q - 8 = 0
2q = 10 q = 5
p = q-2 = 3
check: x³-x²+3x+5 = (x+1)(x²-2x+5)
x³-x²+3x+5 = (x²+3)(x-1) + 8
A Ricardo can paint a set of kitchen cabinet in 6 hours. His father can do it in 4 hours. How long
will a take them if they work together?
PLSSS HELPP MEE
The time it will a take them for both ricardo and his father to finish the painting if they work together is;
t = 2.4 hours
Time for ricardo to paint the set of kitchen cabinets = 6 hours
Time for Ricardo's father to finish painting = 4 hours
This means that ricardo in 1 hour paints 1/6 of the cabinets
His father in 1 hour paints 1/4 of the cabinets
If they work together, in one hour, they would have painted;
1/6 + 1/4 = 5/12 of the cabinet
If 5/12 of the cabinet is done in an hour,then 12/12 will be done in; ((12/12) × 1)/(5/12)
⇒ 1 × 12/5
⇒ 2.4 hours
Read more at; https://brainly.com/question/8317268
The correct answer is: " 2 hours and 24 minutes ";
or; write as: " 2.4 hours " .
____
Step-by-step explanation:
[tex]\frac{x}{4} + \frac{x}{6} = 1[/tex] ; → { " 1 (one) whole job." }.
We want to solve for "x" ; the total time, in "hours", that will take them if they work together.
What is the LCD (least common denominator of "4" and "6" ?
→ Note that "4 * 6 = 24" ; so, "24" would work, but let's see if we can find the LCD —a number less then "24" ;
4: 2, 4, 12, 16, 20, 24,
6: 1, 2, 3, 6, 12
⇒ We see that "12" is the LCD.
_____
So, " [tex]\frac{x}{4} = \frac{?}{12}[/tex] " ; to solve for "?" ;
→ 4 * (what value?) = 12 ?
→ 12 ÷ 4 = (that value) ; ⇒ = " 3 " .
_____
So: [tex]\frac{x}{4} = \frac{(x*3)}{(4*3)} = \frac{3x}{12}[/tex] ;
_____
Now: " [tex]\frac{x}{6} = \frac{?}{12}[/tex] " ; to solve for "?" ;
→ 6 * (what value?) = 12 ?
→ 12 ÷ 6 = (that value) ; ⇒ = " 2 " .
_____
So: " [tex]\frac{x}{6} = \frac{(x*2)}{(6*2)} = \frac{2x}{12}[/tex] ;
Now: → [tex]\frac{x}{4} + \frac{x}{6} = 1[/tex] ;
Substitute our converted values:
→ [tex]\frac{3x}{12} + \frac{2x}{12}=1[/tex] ;
Then simplify the "left-hand side" of the equation:
_____
→ [tex]\frac{3x}{12} + \frac{2x}{12} = \frac{(3x+2x)}{12}[/tex] = [tex]\frac{5x}{12}[/tex] ;
Now, rewrite the simplified equation; and bring down the "1" :
_____
→ [tex]\frac{5x}{12} = 1[/tex] ;
Now, solve for "x" ; as follows:
_____
⇒ 5x = ( 1 * 12 ) ;
→ 5x = 12 ;
Now, divide Each Side of the equation by "5" ;
to isolate "x" on one side of the equation; & to solve for "x" (in hours):
_____
→ 5x / 5 = 12 / 5 ;
_____
to get: x = (12/5) hours.
_____
Now: We have (12/5) of 1 hour ; 24/10
Note the exact conversion: " 60 min. = 1 hr." :
So, 12/5 of 60 minutes;
= " [tex]\frac{12}{5}[/tex] * [tex]}\frac{60}{1}[/tex] " (minutes) ;
____
The "5" cancels to a "1" ; and the "60" cancels to a "12" :
{since: "60 ÷ 5 = 12" ; & since: "5 ÷ 5 = 1 " .}.
→ And we can rewrite as:
" [tex]\frac{12}{1} * \frac{12}{1}[/tex] " (minutes) = "12 * 12" minutes = 144 minutes.
⇒ " 144 minutes" equals: How many hours? " 144 ÷ 60 = 2.4 hours " ;
or; more specifically:
⇒ We have "2 hours and _(some) minutes".
→ that is; " 2 hours plus 0.4 hour(s) " .
⇒ [tex]\frac{(0.4) hr}{1}*\frac{(60)min}{1 hr} = [(0.4)*(60)] minutes[/tex] ;
= 24 minutes.
____
Alternate method:
____
(12/5 hours) = (12 ÷ 5) hours = " 2.4 hours " ; (and continue if desired).
____
So: The correct answer is: " 2 hours and 24 minutes ";
or; write as: " 2.4 hours " .
____
Hope this is helpful to you! Best of luck!
____
Type the expression that results from the following series of steps:
Start with g, times by 7, then add 3.
Step-by-step explanation:
start with g and next times by 7 means multiply by 7 and add 3 to the result
7g+3
want is385 rond to ten
Answer:
390
Step-by-step explanation:
5 or more, means round up.
So 385 ( 5 or above ) - round to the nearest tenths place...
= 390
Answer:
390
Step-by-step explanation:
The number in the tenth place is 80 so you look on the right, the number is 5. If the number is 5 or above, that means you go up. SO it's 390
Noreen can walk 1/3 of a mile in 12 minutes what is her average speed in miles per hour. (this is multiple choice)
A. 36 miles per hour
B. 12 miles per hour
C. 1/4 a mile per hour
D. 1 2/3 miles and hour
ANSWER FAST PLEEEEASE
Solve (x – 3)2 = 49. Select the values of x.
–46
-4
10
52
Answer:
x=10
x=-4
Step-by-step explanation:
Quadratic Equation: (x – 3)^2 = 4
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(x-3)^2-(49)=0
Step 1:
valuate : (x-3)² = x²-6x+9
Factoring x²-6x-40
The first term is, x²its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -40
Step-1 : Multiply the coefficient of the first term by the constant 1 • -40 = -40
Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is -6 .
-40 + 1 = -39
-20 + 2 = -18
-10 + 4 = -6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 4
x²- 10x + 4x - 40
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
4 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-10)
Which is the desired factorization
Equation at the end of step
1
:
(x + 4) • (x - 10) = 0
STEP
2 :
Theory - Roots of a product
A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation:
Solve : x-10 = 0
Add 10 to both sides of the equation :
x = 10
Supplement : Solving Quadratic Equation Directly
Solving x²-6x-40 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
Find the Vertex of y =x²-6x-40
For any parabola,Ax²+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 3.0000
Plugging into the parabola formula 3.0000 for x we can calculate the y -coordinate :
y = 1.0 * 3.00 * 3.00 - 6.0 * 3.00 - 40.0
or y = -49.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x²-6x-40
Axis of Symmetry (dashed) {x}={ 3.00}
Vertex at {x,y} = { 3.00,-49.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-4.00, 0.00}
Root 2 at {x,y} = {10.00, 0.00}
Solve Quadratic Equation by Completing The Square
Solving x²-6x-40 = 0 by Completing The Square .
Add 40 to both side of the equation :
x2-6x = 40
Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9
Add 9 to both sides of the equation :
On the right hand side we have :
40 + 9 or, (40/1)+(9/1)
The common denominator of the two fractions is 1 Adding (40/1)+(9/1) gives 49/1
So adding to both sides we finally get :
x2-6x+9 = 49
Adding 9 has completed the left hand side into a perfect square :
x2-6x+9 =
(x-3) • (x-3) =
(x-3)2
Things which are equal to the same thing are also equal to one another. Since
x2-6x+9 = 49 and
x2-6x+9 = (x-3)2
then, according to the law of transitivity,
(x-3)2 = 49
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-3)2 is
(x-3)2/2 =
(x-3)1 =
x-3
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-3 = √ 49
Add 3 to both sides to obtain:
x = 3 + √ 49
Since a square root has two values, one positive and the other negative
x2 - 6x - 40 = 0
has two solutions:
x = 3 + √ 49
or
x = 3 - √ 49
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving x2-6x-40 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -6
C = -40
Accordingly, B2 - 4AC =
36 - (-160) =
196
Applying the quadratic formula :
6 ± √ 196
x = —————
2
Can √ 196 be simplified ?
Yes! The prime factorization of 196 is
2•2•7•7
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 196 = √ 2•2•7•7 =2•7•√ 1 =
± 14 • √ 1 =
± 14
So now we are looking at:
x = ( 6 ± 14) / 2
Two real solutions:
x =(6+√196)/2=3+7= 10.000
or:
x =(6-√196)/2=3-7= -4.000
Two solutions were found :
x = 10
x= -4
what can be multiplyed with 10.75 to make 100
Answer:
9.30232558
Step-by-step explanation:
Set up an equation to solve for it. For instance, the following:
[tex]10.75*x=100[/tex]
[tex]x=9.30232558[/tex]
Help please
3. A line passes through the points -6,-8 and -3,-7. What is the equation of the line in slope intercept form?
A. Y = 3x - 6
B. Y = 1/3x + 6
C. Y = 1/3x - 6
D. Y = 3x + 6
Answer:
the answer is C
Step-by-step explanation:
yeah-ya.... right?
help help help help help help help
Answer:
9. A: 3:00 A.M.
10. C: 6.535 kg
11. D: Php 1,600.00
12. D: 217,500
13. A: P450.00
14. A: 7
15. D: 5.48 x 10^4
Which is larger?
A) 52
B) 33
o
А
OB
Answer: 3 to the third power
Step-by-step explanation: 3x3x3=27
5x5=25 27 is bigger that 25
hope this helped!
Solve for x.
(8x -23)
Answer:
x = 12
Step-by-step explanation:
sketch the graph of each equation y=-5x
for the down line it goes till -10
Step-by-step explanation:
After you find y when x is the following you apply points on graph to get a straight line.
Find the value of (2^2)^3. Then find the value of (2^3)^2. what is true about the results? Explain why.
Answer:
(2^2)3 = 2^6
(2^3)2 = 2^6
Step-by-step explanation:
There are various exponent rules. The problems that you were assigned must follow the power of a power rule:
(x^a)^b = x^a*b
Exponents must be multiplied according to this rule. Hope this helps.
a. What is the length of the bedroom on the scale drawing?
b.
What is the width of the bedroom on the scale drawing?
At a mall, random people are asked what their favorite movie genre is. The results are shown in the table below.
Comedy
40
Sports
36
Animation
25
Romance
18
Drama
32
Horror
15
Documentary
22
Adventure
22
Answer:
what is the question?
210 people were asked.