Answer: [tex]\frac{x}{2}[/tex] + [tex]\frac{31y}{2}[/tex]
Step-by-step explanation:
1) Combine multiplied terms into a single fraction.
[tex]\frac{1}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ⋅ y
2) Multiply the equation by 1.
1x/2+ 31/2 ⋅ y
x/2 + 31/2 ⋅ y
3) Combine multiplied terms into a single fraction.
x/2 + 31/2 y
x/2 + 31y/2
4) Solution
x/2 + 31y/2
log x + log(x+3) = 1
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
Taking antilogs, the equation becomes ...
x(x +3) = 10
x^2 +3x +2.25 = 12.25 . . . . add (3/2)² to complete the square
(x +1.5)² = 3.5² . . . . write as squares
x = -1.5 +3.5 . . . . . . take the positive square root*
x = 2
_____
* The negative square root gives an extraneous solution (x=-5).
__
I find that using a graphing calculator with the original equation avoids extraneous solutions. Here we transform the equation to the form f(x) = 0, so the x-intercept is the value of x we seek.
Im givin brainliest and 100 points to the first person who answers this
The equation I equals P times r t gives the amount of interest a bank account receives after a certain period. An individual invests $6,000 into an account that receives 7% interest. How much time has passed if the amount of interest is $3,360?
Answer:
8 years
Step-by-step explanation:
With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest
Take the Total Interest $3360/$420= 8 Years
Find the point of intersection by graphing each of the following lines: x+y=4
x+2y=6
Answer:
Point of intersection is (6,0)
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the system by substitution.
⎧
⎪
⎨
⎪
⎩
−
x
−
y
−
z
=
−
8
−
4
x
+
4
y
+
5
z
=
7
2
x
+
2
z
=
4
Answer:
5 is the answer
Step-by-step explanation:
because i said it was
Simultaneous equations can be solved by substitution, elimination, graphs and by matrices.
The values of x, y and z are:
[tex]\mathbf{x =3}[/tex].[tex]\mathbf{y = 6}[/tex].[tex]\mathbf{z = -1}[/tex]The equations are given as:
[tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-4x + 4y +5z = 7}[/tex]
[tex]\mathbf{2x +2z = 4}[/tex]
Make z the subject in [tex]\mathbf{2x +2z = 4}[/tex]
[tex]\mathbf{2z = 4 - 2x}[/tex]
Divide by 2
[tex]\mathbf{z = 2 - x}[/tex]
Substitute [tex]\mathbf{z = 2 - x}[/tex] in [tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-x - y - (2-x) = -8}[/tex]
[tex]\mathbf{-x - y - 2+x = -8}[/tex]
Cancel out common terms
[tex]\mathbf{- y - 2 = -8}[/tex]
Add 2 to both sides
[tex]\mathbf{- y = -8+2}[/tex]
[tex]\mathbf{- y = -6}[/tex]
Divide by -1
[tex]\mathbf{y = 6}[/tex]
Substitute [tex]\mathbf{z = 2 - x}\mathbf{\ and\ y = 6}[/tex] in [tex]\mathbf{-4x + 4y +5z = 7}[/tex]
[tex]\mathbf{-4x + 4 \times 6 + 5 \times (2 - x) = 7}[/tex]
[tex]\mathbf{-4x + 24 + 5 \times (2 - x) = 7}[/tex]
Open brackets
[tex]\mathbf{-4x + 24 + 10 - 5x = 7}[/tex]
Collect like terms
[tex]\mathbf{-4x - 5x =- 24 - 10 + 7}[/tex]
[tex]\mathbf{-9x =-27}[/tex]
Divide through by -9
[tex]\mathbf{x =3}[/tex]
Recall that: [tex]\mathbf{z = 2 - x}[/tex]
So, we have:
[tex]\mathbf{z = 2-3}[/tex]
[tex]\mathbf{z = -1}[/tex]
Hence, the results are:
[tex]\mathbf{x =3}[/tex]
[tex]\mathbf{y = 6}[/tex]
[tex]\mathbf{z = -1}[/tex]
Read more about simultaneous equations at:
https://brainly.com/question/10852714
* 25. a. Write 3 3/4, as an improper fraction.
(10)
b. Write the reciprocal of answer a.
c. Find the product of answers a and b.
Answer:
3 in this case is equal to 12/4 (as that simplifies to get 3/1, which is simply 3). Adding this to 3/4, you get 15/4.
The reciprocal of 15/4 is 4/15.
The product of these two is 60/60, or 1
Step-by-step explanation:
Which statements verify that the solution set to lx + 31 < 5 is -8
Substituting a value into the inequality from the solution set, such as -2, will create a true statement.
* Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
* Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
* Substituting any value into the inequality will create a true statement.
Given:
Consider the inequality is [tex]|x+3|<5[/tex] and its solution set is [tex]-8<x<2[/tex].
To find:
The statement that verify the solution set.
Solution:
Any value into the inequality form the solution set [tex]-8<x<2[/tex], will create a true statement and any value into the inequality not form the solution set [tex]-8<x<2[/tex], will create a false statement.
To verify the solution set set, we need to put any value form solution set into the given inequality.
Substituting a value into the inequality from the solution set, such as -2, will create a true statement.
Therefore, the correct option is A.
Answer:
1 and 4
Step-by-step explanation:
got it right on edge
Which of the following is the strongest correlation?
-.932
0.6725
.8956
0-023
Answer:
8956hfjfjffjfjfjdsjsjsjsjdj
Answer:
-.932
Step-by-step explanation:
-.932 has a strong negative correlation.
IF THE SUM CONSECUTIVE ODD NUMBERS IS 45, FIND THEM. (STEP BY STEP PLZ)
Answer:
[tex]\huge\boxed{\sf 13 , 15 , 17}[/tex]
Step-by-step explanation:
Let x , x+2 and x+4 be the consecutive numbers
Given Condition:
x + x + 2 + x + 4 = 45
3x + 6 = 45
Subtract 6 to both sides
3x = 45 - 6
3x = 39
Dividing both sides by 3
x = 13
So,
The numbers are:
x = 13
x + 2 = 13 + 2 = 15
x + 4 = 13 + 4 = 17
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
let the number be n
n+n+2+n+4 =45
3n+6=45
3n+6+6=45-6
3n/3=39/3
n=13
n=13
n+2=13+2
=15
n+4=13+4
=17
13,15,17
Step-by-step explanation:
pliz mark brainliest
What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4
Find the area of a triangle with vertices (1, 5), (1, -3), (3, -3).
Step-by-step explanation:
so sorry
don't know but please mark me as brainliest please
HELP PLZ!
Which fraction is equal to 0.7?
A) 7/99
B.) 7/11
C.) 7/10
D.) 7/9
Which fraction is equal to 0.54?
A.) 27/50
B.) 49/90
C.) 6/11
D.) 5/4
How can the decimal 0.57 be written as a fraction?
A.) 19/33
B.) 57/100
C.) 56/99
D.) 577/999
Answer:
the first one is A the second one D the third one B
Step-by-step explanation:
hope this will help you
Answer:
Which fraction is equal to 0.7?
C.) 7/10
Which fraction is equal to 0.54?
A.) 27/50
How can the decimal 0.57 be written as a fraction?
B.) 57/100
Step-by-step explanation:
Hope this helps and have a great day :)help asap do all these show work posting more after this one
Answer:
1) (2,10) is solution of y=4x+2
2) (7,5) is not solution of 2x+y=5
3) (-3,3) is not solution of y=6-x
4) (10,-1) is solution of x+8y=2
5) (2,21) is not solution of y=6x+7
6) (6,-8) is solution of 3x-y=26
Step-by-step explanation:
1) y=4x+2 (2,10)
Put x=2 and y=10 and check if both sides are equal or not
10=4(2)+2
10=8+2
10=10
So, (2,10) is solution of y=4x+2
2) 2x+y=5 (7,5)
Put x=7 and y=5 and check if both sides are equal or not
2x+y=5
2(7)+5=5
14+5=5
19≠5
So, (7,5) is not solution of 2x+y=5
3) y=6-x (-3,3)
Put x=-3 and y=3 and check if both sides are equal or not
y=6-x
3=6-(-3)
3=6+3
3≠9
So, (-3,3) is not solution of y=6-x
4) x+8y=2 (10,-1)
Put x=10 and y=-1 and check if both sides are equal or not
x+8y=2
10+8(-1)=2
10-8=2
2=2
So, (10,-1) is solution of x+8y=2
5) y=6x+7 (2,21)
Put x=2 and y=21 and check if both sides are equal or not
y=6x+7
21=6(2)+7
21=12+7
21≠19
So, (2,21) is not solution of y=6x+7
6) 3x-y=26 (6,-8)
Put x=6 and y=-8 and check if both sides are equal or not
3x-y=26
3(6)-(-8)=26
18+8=26
26=26
(6,-8) is solution of 3x-y=26
Solve for q.
-0.07(q - -6) + -4.67 = -5.3
Y’all please help :)
what is the slope of the linear graph in simplest form? SHOW WORK PLEAS!!!
Answer:
The slope is -5
Step-by-step explanation:
For every 1 value moved in the x value, the line goes 5 values down. This means the slope is -5/1 or -5.
I hope that this helps! :)
Can you please help me
Answer:
0.5
Step-by-step explanation:
The slope of the line is 1/2, so the answer is 0.5
plz refer and no nonsense
Answer:
132
Step-by-step explanation:
area of square =4l
= 4× 11
=44
total length =44×3
=132m
An electrician charges a base fee of $70 plus $50 for each hour of work. The minimum the electricin charges is $170. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function. The domain values are , , , and . (Blanks 1 - 4)
The domain is the (student age/number of pets) . (Blank 5)
The range values are , , , and . (Blanks 6 - 9)
The range is the (student age/number of pets) . (Blank 10)
This relation (is / is not) a function.
Describe the pattern in the table using words, an equation, and a graph. Extend the pattern for x=5, 6 and 7.
Answer:
Step-by-step explanation:
x y Difference [tex](y_2-y_1)[/tex]
1 15 -
2 25 25 - 15 = 10
3 35 35 - 25 = 10
4 45 45 - 35 = 10
There is a common difference of 10 in each successive term of y.
Therefore, table represents a linear function.
Let the equation of the linear function is,
y = mx + b
Here 'm' = slope of the line
b = y-intercept
Since, two points (1, 15) and (2, 25) lie on the graph of the function,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{25-15}{2-1}[/tex]
m = 10
Equation of the line will be,
y = 10x + b
For the value of 'b' (y-intercept),
Since, (1, 15) lies on the graph of the linear function,
15 = 10(1) + b
b = 15 - 10
b = 5
Equation of the line on the graph will be,
y = 10x + 5
Now we can determine the output value of the function with the input values, x = 5, 6 and 7
[tex]y_1[/tex] = 10(5) + 5 = 55
[tex]y_2[/tex] = 10(6) + 5 = 65
[tex]y_3[/tex] = 10(7) + 5 = 75
What is the solution of 13 = t + 7 t
Answer:
t=1.625
Step-by-step explanation:
13=8t
divide both sides by 8
t=1.625
2. Write 15% as a decimal. (1 point)
1.5
0.15
0 0.015
0.0015
how in the world do you do this problem
(-1,0)
y+__= 4(x+2)
Somebody please help me
Answer:
(13/24)
Step-by-step explanation:
let’s find a common number that we can get on the denominator
4 can be multiplied to get 48
6 can be multiplied to get 48
and 8 can also be multiplied to get 48
4(12) = 48
so for the equation (1/4) the numerator and denominator will both be multiplied by 12
(1/4)x(12/12) = (12/48)
6(8)= 48
(1/6)x(8/8) = (8/48)
8(6) = 48
(1/8)x(6/6) = (6/48)
now the fractions are
(12/48)+(8/48)+(6/48)
we can add them now because they have the same denominator and we get:
(26/48)
this can be simplified if we divide both the numerator and denominator by 2 and we get
(13/24)
Answer:
[tex]\frac{13}{24}[/tex]
Step-by-step explanation:
LCM(4, 6, 8) = 24
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{6+4+3}{24}[/tex] = [tex]\frac{13}{24}[/tex]
I need help with this question! I don’t understand this mess at all.
so line ab is parrallel and so is xy it is asking you to prove that angle 8 + angle 9 = 180
so since they are parrallel 8 is equal to 12 or you could do 9 is equal to 5 then you can see that they sit on the same straight line so angle9 + angle8 = 180 degrees
Pls help!!Which point is located at (0, –7)?
Answer:
The point E is located at (0, -7)
101 = -4 + 5(x + 2)
please help
Answer:x=19
Step-by-step explanation:
101 = -4 + 5(x + 2)
101= -4 +5x+10
91=-4+5x
95=5x
x=19
19
Step-by-step explanation:
Distribute 5
101=-4+5x+10
Combine like terms
101=5x+6
Get x alone on one side by subtracting 6
95=5x
Simplify
19=x
Brainlest- Please please help me thank you so much in advance
Answer:
x= 94
Step-by-step explanation:
Answer:
d, or 63 is the answer
Bob and Lisa went to the movies. They each bought popcorn and one drink. Lisa had a $12 gift
certificate to put toward the cost, and Bob paid the rest, which came to $13. A movie ticket costs $7
and popcorn costs $4. How much is one drink?
3 of 10
Find two integers whose sum is 7 and product is 12
Answer:
3 and 4
Step-by-step explanation:
A pizza shop sells pizzas that are 12 inches in diameter or larger a 12 inch cheese pizza cost eight dollars each additional inch cost $2.50 and each additional toppings cost $1.25 write an equation that represents the cost of the pizza be sure to specify what variables represent they'll be three variables
Answer:
C(x, y) = 8 + 1.25x + 2.50(y - 12)
Step-by-step explanation:
Given that:
Cost of 12 inch cheese pizza = $8
Each additional inch cost $2.50
Each additional topping cost $1.25
The cost equation :
Let x = additional topping ; y = diameter of pizza, cost of pizza = C
C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)
C(x, y) = 8 + 1.25x + 2.50(y - 12)
Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)
Step-by-step explanation:
3644-878 x 4 = a
a+54-21=b
a =
b =
the answer is supposed to be 132 at the most of a
for b it is 165
Answer:
a=132
b=165
Step-by-step explanation:
,