The value of x is 20
What is a parallelogram?A parallelogram is a quadrilateral with equal opposite sides
Since the opposite sides of a parallelogram are equal, then the following equation is true
[tex]6x - 57 = 3x + 3[/tex]
Divide through by 3
[tex]2x - 19 = x + 1[/tex]
Collect like terms, in the above equation
[tex]2x - x = 19 +1[/tex]
Evaluate the like terms
[tex]x = 20[/tex]
Hence, the value of x is 20
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Joe collects Pokemon cards. He already has 100 and buys a dozen more each week when he goes to the store. Jessica also collects Pokemon cards. She has 130 cards, and buys 6 more each week at the store.After how many weeks would the two kids have the same amount of cards?
Answer:
5 weeks
Step-by-step explanation:
To find the answer to this question we have to write an equation for both situation and put them equal to each other.
Let's write an equation for Joe:
12x + 100
Now, for Jessica
6x + 130
Next, put them equal to each other:
12x + 100 = 6x + 130
Solve:
12x + 100 = 6x + 130
6x + 100 = 130
6x = 30
x = 5
Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.
Check:
12(5) + 100 = 6(5) + 130
60 + 100 = 30 + 130
160 = 160
I hope this helps!!
- Kay :)
In a sample of 14 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a standard deviation of 4.9 hours. Find the 95% confidence interval.a. (10.3, 15.5)b. (8.0, 17.8)c. (10.1, 15.7)d. (9.9, 15.9)
Answer:
c. (10.1, 15.7)
Step-by-step explanation:
The calculation of the 95% confidence interval is shown below:
Given that
n = sample = 14
average = [tex]\bar x[/tex] = 12.9
Standard deviation = s = 4.9
Based on the above information
[tex]\alpha = 1 -0.95 = 0.05[/tex]
n - 1 = 14 - 1 = 13
[tex]t_{\alpha}\ value = 2.16[/tex]
Now the 95% confidence interval is
[tex]= \bar x + \pm\ t \times \frac{s}{\sqrt{n} } \\\\= 12.9 \pm 2.16 \times \frac{4.9}{\sqrt{14} } \\\\= 12.9 \pm 2.8287[/tex]
= (10.1, 15.7)
hence, the correct option is c.
Look at my picture, what’s the missing statement in step 4?
Answer:
Step-by-step explanation:
∠ACE=∠ BCD (reflexive property )
It is common to both the angles or both the angles represent the same angle.
We have to prove two triangles are similar.
Here we show two angles of different triangles are equal.
Hence similar by AA
Answer:
m<CBD is congruent to m<DBC
Step-by-step explanation:
Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)
50 points. Which option is it?
Answer:
You ready chose the answer
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Show that f '(x) = g'(x) for all x in their domains. Can we conclude from the corollary below that f − g is constant? If f '(x) = g'(x) for all x in an interval (a, b), then f − g is constant on (a, b); that is, f(x) = g(x) + c where c is a constant.
Answer:
Answer: 15 cm
Step-by-step explanation:
The derivative of a function at a point can be defined as its slope at that point. For f'(x) = g'(x) in the interval (a,b), it is proved that f - g is constant in (a,b).
What is a Derivative?A derivative of a function is its rate change of increase or decrease in a given interval with respect to its variable. Derivative of a constant function is always zero.
Given that, f'(x) = g'(x) for all x.
Taking integral on both sides
f(x) + C₁ = g(x) + C₂
=> f(x) - g(x) = C₂ - C₁
=> f(x) - g(x) = C
Thus, f(x) - g(x) is constant is proved.
Similarly for interval an interval (a,b),
f(x) - g(x) = C
=> f(x)= g(x) + C
Hence, it is proved that in an interval (a,b), if f'(x) = g'(x) then f(x)= g(x) + C.
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What restriction should be applied to y = tanx for y = arctanx to be defined?
Answer:
restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
edge 2020
Answer: c. restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
Edge :)
Write the given linear system without the use of matrices. Assume X = x y z . X' = 7 6 −9 5 1 1 0 −3 4 X + 0 3 1 e6t − 8 0 4 e−3t
Answer:
X= 3
Step-by-step explanation:
Which graph represents the function fx) =|x–4?
The image below shows the graph f(x) = |x| – 4
Hope this helps! :)
I need help thank you
Answer:
[tex]4x^2-x+8[/tex]
Step-by-step explanation:
First expand [tex](x-8)^2[/tex].
[tex](x-8)(x-8)=x^2-16x+64[/tex]
Now Add:
[tex](x^2-16x+64)+(3x^2+15x-56)\\(x^2+3x^2)+(-16x+15x)+(64-56)=\\4x^2-x+8[/tex]
We want this:
3x^2 + 15x - 56 + (x - 8)^2
First, expand (x - 8)^2 using FOIL.
So, (x - 8)^2 = (x - 8)(x - 8).
(x - 8)(x - 8) = x^2 - 16x + 64.
We now add like terms.
3x^2 + 15x - 56 + x^2 - 16x + 64
4x^2 - x + 8
Done.
At 60 km per hour it takes archie 10 hours to travel from his house in Manila to his house in the province. If his rate will be 120 km per hour, how long will it take him to reach his house in the province from Manila
A. 5 hours
B. 8.5 hours
C. 6 hours
D. 7.5 hours
Pls i need it now
Answer:
a
Step-by-step explanation:
5 hours
Which graph represents an even function?
Answer:
one that looks like triangle
Step-by-step explanation:
(PLEASE HELP) You buy your dream house and want to redesign the front of the house. The budget for the
front of the house is $1,800. You spent $90 of the budget on fresh flowers. What percent of the
budget did you spend on fresh flowers?
budget did you spend on fresh flowers?
Answer:
Step-by-step explanation:
1620.
Answer:
5%
Step-by-step explanation:
90/1800 = x/100
0.05 = x/100
0.05 * 100 = x
5 = x
1.800 * 5% = 90
Is 3abc an expression?
Answer:
yes
Step-by-step explanation:
an expression is like an equation without the equal sign, or according to the Oxford Dictionary: "a collection of symbols that jointly express a quantity."
Answer:
Yes
Step-by-step explanation:
An expression is a collection of symbols that jointly express a quantity, which means a set of symbols that equals a number. a,b, and c are all variables, meaning that its a expression
What angle would you use to represent 40 red cars out of 90 cars in total on a pie chart?
. 40 degree
. 4 degree
. 160 degree
90 degree
Answer:
4
Step-by-step explanation:
i just know I took the test and I choose 90 and got it wrong
identify the k-value that makes the relationship shown in the table below proportional.
Answer:
The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]
Step-by-step explanation:
The relation is proportional if [tex]y=kx \:or\:k=\frac{y}{x}[/tex]
Putting values of x and y to find k.
For x =2 and y =1 k is: [tex]k=\frac{y}{x}=\frac{1}{2}[/tex]
For x =4 and y =2 k is: [tex]k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}[/tex]
For x =6 and y = 3 k is: [tex]k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}[/tex]
For x = 8 and y = 4 k is: [tex]k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}[/tex]
For x =10 and y = 5 k is: [tex]k=\frac{y}{x}=\frac{5}{10} =\frac{1}{2}[/tex]
So, The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]
the double number line shows that 4 bottles of water cost 10 dollars at a music festival
Answer:
That means that each water is $2.50, das crazy tho
Step-by-step explanation:
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. if Calvin spends $195, how many times did he visit the gym?
Variable: Equation:
Solve (show all steps):
Answer:
19
Step-by-step explan
Multiply by 5 until you get to 95 :)
Graph the solution set for the inequalíty
y> 2x-5 by following these steps:
Step 1: ldentify the slope and y-intercept.
slope = y-intercept =
Please help me
Answer:
Slope= 2
Y-intercept= -5
Step-by-step explanation:
This inequality is in slope-intercept form which means we can get both striaght from the inequaltiy. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this inequality m would be 2 and b would be -5, so those are your answers.
a muffin recipe calls for 2/5 tablespoon of vanilla extract for 6 muffins. Aria is making 24 muffins. How much vanilla extract does she need?
Answer:
1 and 3/5
Step-by-step explanation:
Answer:
360 tablespoons.
What is the product of 14/5
Answer:
2.8
Step-by-step explanation:
Just divide and get the answer
If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?
Answer:
The father is 67 and the son is 38
Step-by-step explanation:
TRUST ME Bois and Girls
(11/18-4/9)+1/6 pemdas fraction
Answer:
1/3
Step-by-step explanation:
11/18 - 4/9 + 1/6
= 1/6 + 1/6
= 1/3
The value of the fraction is 1/3.
What is PEMDAS Rule?PEMDAS rule is the same as BODMAS rule.
PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
Given fraction is : (11/18 - 4/9) + 1/6
We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.
And multiply the fraction 4/9 with 2 on both numerator and denominator.
(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6
= 3/18 + 1/6
There is only an operation of addition left.
Multiplying both numerator and denominator of 1/6 with 3,
(11/18 - 4/9) + 1/6 = 3/18 + 3/18
= 6/18
= 1/3
Hence the value of the fractional expression given is 1/3.
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Find an equation of the line that passes through the pair of points (-5, -9) and (2,-7)
Answer:
y=0.3x - 7.6
Step-by-step explanation:
line: y=ax+b
a= Δy ÷ Δx
a= (-9 + 7) ÷ (-5 - 2)
a= -2 ÷ -7 = approximately 0.3
y=0.3x + b
Now you can fill in one of the points to find b (or both to make sure you got the answer right).
0.3 × 2 + b = -7
0.6 + b = -7
b = -7 - 0.6 = approximately -7.6
So: an equation of the line that passes through this pair of points is y=0.3x - 7.6
On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.
Find the value of each variable.
A=?
B=?
C=?
Answer:
a:3.5
b:0.2
c:.3
Step-by-step explanation:
Name the function family that each graph best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answer:
7. Absolute Value
8. Exponential
9. Quadratic
10. Linear
11. Logarithmic
82,77,72,67 find the sequince
Answer:
Subtract 5 as you go along the pattern.
82-5=77-5=72-5=67...
Step-by-step explanation:
find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2) and (-5,-4)
Answer:
Slope: 2
y intercept: 6
Equation: y = 2x+6
PLEASE answer i’ll do anything please
Answer:
25
Step-by-step explanation:
[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]
Which graph shows the solution to the systern of linear inequalities? x+3y>6 y>2x+4
Answer: y>2x+4
Step-by-step explanation:
Can someone help me with this please?
Answer:
-12
Step-by-step explanation:
subtracting a negative from a negative makes a greater negative, basically adding to the negative
Answer:
-8 is the answer correct
Step-by-step explanation: