Answer:
3(5k+3), 6k+9+27k
Step-by-step explanation:
2) What is the most precise name for a quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), D(5,2)?
parallelogram
rhombus
quadrilateral
rectangle
3) What is the most precise name for a quadrilateral ABCD with vertices A(4,4), B(5,8), C(8,8), D(8,5)?
square
rhombus
kite
parallelogram
Answer:
2 rhombus
3 parallelogram
E Homework: 2.3 Linear Inequalities
Question 14, 2.3.101
Part 1 of 2
Assume that in 2005 consumers used credit and debit cards to pay for 43% of all purchases. This percentage is projected to be 58% in 2011.
(a) Find a linear function that models the data, where x is the year and P(x) is the percentage.
(b) Estimate when this percentage was between 48% and 53%.
(a) P(x) =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Linear functions are functions that change at a constant rate
The linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]
The equation of the linear functionFrom the question, we have the following ordered pairs
(x,P(x)) = (2005,43%) and (2011,58%)
Start by calculating the slope (m)
[tex]m = \frac{P(x2) - P(x1)}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{58\% - 43\%}{2011 - 2005}[/tex]
Evaluate the differences
[tex]m = \frac{15\%}{6}[/tex]
Evaluate the quotient
[tex]m = 2.5\%[/tex]
The linear function is then calculated as:
[tex]P(x) = m(x - x_1)+ P(x_1)[/tex]
So, we have:
[tex]P(x) = 2.5\%(x - 2005) + 43\%[/tex]
Rewrite as:
[tex]P(x) = 0.025(x - 2005) + 0.43[/tex]
This gives
[tex]P(x) = 0.025x -50.125 + 0.43[/tex]
[tex]P(x) = 0.025x -49.695[/tex]
Hence, the linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
help me with this pleasee
Find the value of x.
R
(2x + 3)^
25°
Q
S
(3x – 17) 10
(
O
Answer:
10
Step-by-step explantion
Simplifying
2x + 3 + 25 = 3x + -17
Reorder the terms:
3 + 25 + 2x = 3x + -17
Combine like terms: 3 + 25 = 28
28 + 2x = 3x + -17
Reorder the terms:
28 + 2x = -17 + 3x
Solving
28 + 2x = -17 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
28 + 2x + -3x = -17 + 3x + -3x
Combine like terms: 2x + -3x = -1x
28 + -1x = -17 + 3x + -3x
Combine like terms: 3x + -3x = 0
28 + -1x = -17 + 0
28 + -1x = -17
Add '-28' to each side of the equation.
28 + -28 + -1x = -17 + -28
Combine like terms: 28 + -28 = 0
0 + -1x = -17 + -28
-1x = -17 + -28
Combine like terms: -17 + -28 = -45
-1x = -45
Divide each side by '-1'.
x = 45
Simplifying
x = 45
Answer:
x = 45Step-by-step explanation:
Exterior angle is same as sum of two remote interior angles:
2x + 3 + 25 = 3x - 172x + 28 = 3x - 173x - 2x = 28 + 17x = 451
Enter the correct answer in the box
Rewrite this logarithmic equation as an exponential equation
log, 18 = 3
Answer:
[tex]18=2^x[/tex]
Step-by-step explanation:
[tex]log_2(18)=x\\\\2^{log_2(18)}=2^x\\\\18=2^x[/tex]
Ted is installing lighting in a new block of 12 apartments . He will need 60 metres of cable for each apartment. Each mew spool holds 100 metres of cable . What is smallest number of new spools that Ted will need for his job
Answer: 8 spools
Step-by-step explanation:
There are 12 apartments, and each apartment will need 60 meters of cable, so 12×60= 720 meters of cable needed.
If each spool only has 100 meters and he needs 720 meters, then 720÷100= 7.2. So he would need to purchase at least 8 spools, and will have 80 meters left over.
The difference between 32 and 7 times a number is 2.
Answer:
x=4.285714286
Step-by-step explanation:
Let the number be x
Now we have,
→ [tex]32-7x=2\\\\[/tex]
→ [tex]32-2=7x\\\\[/tex]
→ [tex]30=7x\\[/tex]
→ [tex]x=\frac{30}{7} \\[/tex]
→ x=4.285714286
Determine all solutions to the equation 1 over sine theta equals 2 times sine theta on the interval [0, 2π).
The solution to the trigonometric equation in the interval is given by:
[tex]x = \frac{\pi}{4}[/tex]
What is the trigonometric equation?In this problem, the equation is given by:
[tex]\frac{1}{\sin{\theta}} = 2\cos{\theta}[/tex]
Applying cross multiplication, we have that:
[tex]2\sin{\theta}\cos{\theta} = 1[/tex]
Applying a trigonometric identity, we have that:
[tex]\sin{2x} = 1[/tex]
We have that on the interval [0, 2π), [tex]\sin{\left(\frac{\pi}{2}\right)} = 1[/tex]
Hence:
[tex]\sin{2x} = 1[/tex]
[tex]\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}[/tex]
[tex]2x = \frac{\pi}{2}[/tex]
[tex]x = \frac{\pi}{4}[/tex]
For [tex]\frac{3\pi}{4}[/tex], we have that:
[tex]\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1[/tex]
Hence only the first solution is correct.
More can be learned about trigonometric equations at https://brainly.com/question/24680641
Which measurement is a reasonable length for 3 new pencils laid end-to-end?
A) 3 inches
B) 18 inches
C) 13 feet
D) 8 feet
Hey Guys, Please help me I decided to lesson the questions
Answer:
Step-by-step explanation:
im pretty sure its the 1st one
NEED HELP ASAP!
Of the rocks in a box, 1/3 are igneous, 60 are
metamorphic, and the remaining 40% are sedimentary.
How many rocks are in the box?
1= 160
2= 180
3= 200
4= 225
53 fl oz = c
A. 6
B. 6 5/8
C. 13 1/4
D. 424
Answer:
Option B
Step-by-step explanation:
Given the following question:
53 oz = c?
[tex]1c=8oz[/tex]
[tex]53\div8=6.625[/tex]
[tex]6.625=\frac{6625}{1000}\div125=\frac{53}{8}[/tex]
[tex]\frac{53}{8} =53\div8=6\frac{5}{8}[/tex]
[tex]=6\frac{5}{8}[/tex]
Your answer is option B or "6 5/8 cups."
Hope this helps
-
How many terms are in -7x2 - 14x + 2 ?
Answer:
3
Step-by-step explanation:
7x² is the first term,
14x is the second term and
2 is the third term.
please check this. I suck at math.
Problem 1
You have the correct y value, but it refers to pizzas (not salads).If you need to convert to a mixed number, then follow these steps.
27.2 = 27 + 0.2
27.2 = 27 + 1/5
27.2 = 27 & 1/5
27.2 pizzas is the same as 27 & 1/5 pizzas. In other words, you have 27 whole pizzas plus 1/5 of an extra one.
===========================================
Problem 2
This is correct.The decimal 1.75 converts to the mixed number 1 & 3/4 because of the steps below.
1.75 = 1 + 0.75
1.75 = 1 + 3/4
1.75 = 1 & 3/4
In my opinion, it is optional to convert to a mixed number for either problem 1 or problem 2. So you can stick with 1.75 as the answer if you want.
===========================================
Problem 3
16 & 3/4 = 16 + 3/4 = 16 + 0.75 = 16.75
To get the unit rate, which is the cost per unit, we divide the total cost over the amount.
cost/amount = (2.89)/(16.75) = 0.1725373
which is approximate.
Round to the nearest penny to get a unit cost of $0.17 per fluid ounce, i.e. a unit cost of 17 cents per fluid ounce.
Answer: $0.17 or 17 cents===========================================
Problem 4
We follow the same idea as problem 3.
4 & 3/5 = 4 + 3/5 = 4 + 0.6 = 4.6
unit cost = (total cost)/(amount)
unit cost = (7.56)/(4.6)
unit cost = 1.643478 dollars approximately
unit cost = 1.64 dollars approximately
Answer: $1.64===========================================
Problem 5
6 & 1/2 = 6 + 1/2 = 6 + 0.5 = 6.5
Like before, we'll divide the total cost over the total amount.
unit cost = (total cost)/(amount)
unit cost = (8.22)/(6.5)
unit cost = 1.264615 dollars approximately
unit cost = 1.26 dollars approximately
Answer: $1.26===========================================
Here's another way to look at the unit cost or unit rate.
Notice in problem 5 it says "cost per yard". This is the same as "cost per 1 yard" or "cost for each yard".
We can express the given info as the ratio
6.5 yards:$8.22
Now we want the "6.5 yards" to become "1 yard" to achieve the unit rate.
So we'll divide both parts by 6.5
6.5 yards:$8.22
6.5/6.5 yards:$8.22/6.5
1 yard: $1.26 approximately
For each yard, we'll spend $1.26
Problems 3 and 4 follow similar ideas. So this is why we divided the total cost over the total amount.
Choose the equation of the line in slope-intercept form.
Parallel to y = 3x - 1 and has the point (-2,-1).
A. y = -1/3x + 2
B. y = -1/3x + 5
C. y = 3x + 5
D. y = 3x + 2
answer:
y = 3x + 5
steps-explanation:
given sample equation:
y = 3x - 1comparing to the formula of slope intercept form: y = mx + b
[ where m is the slope and b is the y-intercept ]
we can determine here that the slope is 3 and -1 is the y-intercept.
but here we need only the slope.
in parallel, the slope is same: 3
formula:
y - y1 = m(x - x1)using the formula: [ here known that y1 is -1 and x1 is -2 ]
y - -1 = 3(x - -2)y + 1 = 3x + 6y = 3x + 5If a=-3 find the value of
Answer:
a) -6
b) -9
c) 27
Step-by-step explanation:
Since a=-3, plug in -3 for a and solve.
A triangle has a perimeter of 66 feet. If the three sides of the triangle are n, 3n+3, and 4n - 9, what is the length of each side?
Separate multiple entries with a comma.
Answer:
9, 30, 27
Step-by-step explanation:
To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.
So, we must add the sides to get 66 feet.
n+3n+3+4n-9=66
Combine like terms, and solve:
(n+3n+4n)+(3+-9)=66
8n+-6=66
8n-6=66
n=9
So if n=9, we can easily find the value of the other sides.
3(9)+3=30 feet.
4(9)-9=27 feet
So, the sides are 9, 30, and 27 feet (in order).
What is the slope of the line in the graph?
Answer:
[tex] \frac{ - 2 - 1}{4 - 0} \\ \\ \frac{ - 3}{4} \\ \\ \frac{3}{ - 4} [/tex]
What is the total amount that Matthew’s bank will receive after lending him$8,000 for four years at an interest rate of 6 percent, compounded annually?
Translate and solve: 3884.4 is what percent of 46.8?
Answer:
3884.4 is what percent of 46.8 is 8300
HELP FAST PLSSSSSSSSSSSSSS
the answer is just 50° for both
A fishing supply store buys fishing rods for $11 and sells them at a markup of 220% One day, they decide to put the rods on sale and
mark them down by 20%
What is the sale price of a fishing rod?
$35.20
$28.16
$19.36
$7,04
Answer:28.16
Step-by-step explanation:
A markup of 220% would bring 11 to 35.20, and a mark down of 20% would bring 35.20 to 28.16.
Your'e Welcome (ФДФ) .
What is an equation of the line that passes through the points (-4, -2) and (-8, 3)?
Answer:
[tex]y = -\frac54x -7[/tex]
Step-by-step explanation:
Slope:
[tex]\frac{3 - (-2)}{-8 - (-4)}[/tex][tex]-\frac{5}{4}[/tex]Y-intercept:
[tex]y = -\frac54x + b\\[/tex][tex]-2 = -\frac54(-4) + b[/tex][tex]-2 = 5 + b[/tex][tex]b=-7[/tex]y = -5/4x -7
-Chetan K
You have $50 in savings. Two months later, you have $80. After the third month, you have $95. You plan to continue to save the same amount each month. What will be in saving after 12 months?
Answer:
230
Step-by-step explanation:
multiply 12 by 15 and add it onto the 50 to get your answer!
Have a good day!
What is the difference between-4 and 62
-10
-2
2
10
Answer:
-10
Step-by-step explanation:
if negative meets a negative its gone come out as a positive
the Sims family drove 5 miles to the store and 3 miles to their grandparent's house. How
many yards did they drive in all?
Answer:
yards: 14080
miles: 8
that's basically it
Answer:
14080 yards
Step-by-step explanation:
A yard is 1/1760 mile, meaning 1 mile = 1760 yards.
5 miles + 3 miles = 8 miles
8 miles to yards = ?
8 x 1760 = 14080.
The Sims family drove 14.08k yds or 14080 yards.
A farmer's truck is carrying 42/3 tons of hay and straw. If 325 tons of the load is
hay, how much straw is the truck carrying??
Answer:
1[tex]\frac{4}{15}[/tex] of straw
Step-by-step explanation:
The total amount of straw and hay together is, [tex]4 \frac{2}{3}[/tex].
and the total amount of hay alone is, [tex]3\frac{2}{5}[/tex]
All you need to do is subtract the hay from the total, which gives you, the answer above.
A tank has length 6m, breadth 5m and height 3m.Find the volume of the tank.If it is full of water, Find the volume of water in litres.
Solution:
Given:
Volume of tank = Length x Breadth x HeightLength = 6mBreadth = 5mHeight = 3mLet's substitute the values of Length, Breadth, and Height to obtain the volume of the tank.
Volume of tank = Length x Breadth x Height=> Volume of tank = 6 x 5 x 3=> Volume of tank = 90 m³Now, let's convert meters into liters.
1 cubic meter = 1000 liters=> 90 m³ = 1000 x 90=> 90 m³ = 90000 litersHoped this helped!
Please please help f(x)7x1/5+6
Answer:
third answer
Step-by-step explanation:
solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x
Verify trigonometric identiy
Answer:
see explanation
Step-by-step explanation:
Using the identity
cos²Θ = 1 - sin²Θ
Consider the left side
sin²Θ - cos²Θ
= sin²Θ - (1 - sin²Θ ) ← distribute parenthesis by - 1
= sin²Θ - 1 + sin²Θ
= 2sin²Θ - 1
= right side , thus verified