Domain (infinity,infinity)
Range (infinity,[tex]\sqrt{7}[/tex])
-10x + 3(8 + 8x) = -6(x - 4) solve for x
Answer:x=0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Solve for x:
3 (8 x + 8) - 10 x = -6 (x - 4)
3 (8 x + 8) = 24 x + 24:
24 x + 24 - 10 x = -6 (x - 4)
Grouping like terms, 24 x - 10 x + 24 = (-10 x + 24 x) + 24:
(-10 x + 24 x) + 24 = -6 (x - 4)
24 x - 10 x = 14 x:
14 x + 24 = -6 (x - 4)
Expand out terms of the right hand side:
14 x + 24 = 24 - 6 x
Add 6 x to both sides:
14 x + 6 x + 24 = (6 x - 6 x) + 24
6 x - 6 x = 0:
14 x + 6 x + 24 = 24
14 x + 6 x = 20 x:
20 x + 24 = 24
Subtract 24 from both sides:
20 x + (24 - 24) = 24 - 24
24 - 24 = 0:
20 x = 24 - 24
24 - 24 = 0:
20 x = 0
Divide both sides of 20 x = 0 by 20:
(20 x)/20 = 0/20
20/20 = 1:
x = 0/20
0/20 = 0:
Answer: x = 0
If I'm looking at buying a house for $450,000, and want my deposit to be
20%, how much do I need to have saved?
A) 50,000.00
B) Your deposit needs to be higher than 20%
C) 52,000.00
D)90,000.00
Answer: 90,000
Step-by-step explanation:
What are the solutions to the quadratic equation 6x2 + 24x = 0?
Answer:
x=0 x=-4
Step-by-step explanation:
6x^2 + 24x = 0
Factor out the common factor
6x(x+4) =0
Using the zero product property
6x =0 x+4 =0
x=0 x=-4
The area of the base of a cylinder is 45 square inches and its height is 11 inches. A cone has the same area for its base and same height. What is the volume of the cone?
Answer:
165 in³
Step-by-step explanation:
Volume of a cone is:
V = ⅓Ah
where A is the area of the base and h is the height.
V = ⅓ (45 in²) (11 in)
V = 165 in³
the sum of three consecutive even numbers is 114 what's the smallest of these numbers
Answer:
36
Step-by-step explanation:
consecutive even numbers are 2,4, 6...
Let the smallest of the 3 numbers be x.
2nd number= x+2
3rd number
=x+2+2
= x+4
sum of the 3 numbers= x +x+2 +x+4
114= 3x+6
3x= 114 -6 (-3 on both sides)
3x= 108 (simplify)
x= 108 ÷3
x= 36
Thus, the smallest number is 36.
Let's check!
36+38+40= 114 ✓
Which equation describes a line of symmetry for a square ABCD?
Answer:
y=x
Step-by-step explanation:
The equation of the line is line DB
From y=mx + c
From the graph y = 0 when x =0
This means y=x;
The graph cuts through the origin.
Meaning the y -intercept C=0
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2 comma 2 ), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). 0 2 4 6 8 10 0 2 4 6 8 10 x y A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points, (5, 5), (6, 5), (7, 5), (5, 6), (6, 6), (6, 6), (7, 6), (5, 7), (6, 7), and (7, 7), forming a square and the tenth point (2, 2) being below and to the left of the square. a. What is the equation of the regression line for all 10 points? ModifyingAbove y with caretequals 1.647plus 0.706x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? ModifyingAbove y with caretequals 6 (Round to three decimal places as needed.) c. Choose the correct description of the results below. A. The removal of the point has a significant impact on the regression line. B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Answer:B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Step-by-step explanation:
An assembly line is operating satisfactorily if fewer than 2 % of the phones produced per day are defective. To check the quality of a day's production, the company randomly samples 5 0 phones from a day's production to test for defects. Define the population of interest to the manufacturer. all the phones produced during the day in question the 50 phones sampled and tested the 2% of the phones that are defective the 50 responses: defective or not defective
Answer:
all the phones produced during the day in question.
Step-by-step explanation:
Okay, we are given the following data or information or parameters in the question above and they are; 2 % of the phones produced per day are defective, the quality of a day's production was checked by sampling 50 samples randomly.
Therefore, the best option or Explanation that best Define the population of interest to the manufacturer is; ''all the phones produced during the day in question''.
Also, the 50 phones that are sampled randomly and 2% which are defective is a condition that the manufacturer should be interested in.
For the data 20, 40, 50, 20, 10, 70. What is there mean absolute deviation?
Answer:
18.333
Step-by-step explanation:
What is 3/4 - 1/2
Please help
Answer:
1/4
Step-by-step explanation:
1/2 is also equal to 2/4 since 2 is half of 4 so 3/4 minus 2/4 will get you 1/4
Please give brainliest :3
Answer:
1/4
Step-by-step explanation:
3/4 - 1/2
Get a common denominator
3/4 -1/2*2/2
3/4 - 2/4
1/4
how do i solve this?
Answer:
Step-by-step explanation:
Daniel buys an ice cream sundae for $4.88 and is given $15.12 as change. Which equation represents the situation if x is the amount Daniel had before he bought the ice cream sundae?
Answer:
X = 4.88 + 15.12 or X - 4.88 = 15.12
So, Daniel had 20 dollars before he brought the ice cream sundae
DeAndre calculated the volume in three ways:
V= 12.5
V= 15.4
V=20.3
Let's focus on DeAndre's first equation.
Explain what the 12 and the 5 represent in the figure.
The 12 represents ...
The 5 represents...
Answer:
The 12 represents area of base of cuboid.
The 5 represents height of cuboid.
Step-by-step explanation:
Given:
DeAndre calculated the volume of the cuboid in three ways:
V= 12.5
V= 15.4
V=20.3
To find: what the 12 and the 5 represent in the figure
Solution:
Volume of cuboid is equal to length × breadth × height
or Area of the base of cuboid × height
Length = 4 units
Breadth = 3 units
So, area of base of cuboid = length × breadth = 4 × 3 = 12 square units
Height of cuboid = 5 units
The 12 represents area of base of cuboid.
The 5 represents height of cuboid.
Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie read?
Answer:
27.5 pages read per hour
Step-by-step explanation:
Translate to an equation, then solve.
Nineteen less than eight times a number is equal to 11 more than six times the number. What is the number?
Answer:
Step-by-step explanation:
8x - 19 = 6x +11
2x - 19 = 11
2x = 30
x = 15
Answer:
c
Step-by-step explanation:
a circle with area 36pi has a sector with a central angle of 48°. what is the area of the sector?
Answer:4.8π
Step-by-step explanation:
Φ=48°
Area of circle=36π
Area of circle=π x r^2
36π=πr^2
Dividing both sides by π we get
r^2=36π/π
r^2=36
Take them square root of both sides
√(r^2)=√(36)
r=6
Area of sector=Φ/360 x π x r x r
Area of sector=48/360 x π x 6 x 6
Area of sector=(48xπx6x6)/360
Area of sector=1728π/360
Area of sector=4.8π
point c' (_4, _3) is the image of c (_2, _3) under a translation
Answer:
2 units moved?
Step-by-step explanation:
A tv programme begins at 7:45 and ends 50 minutes later what time does it finish
Answer:
8:35
Step-by-step explanation:
if u see every hour has 60 mins in it, so if u see 7:45 can be said as 7 hours and 49 mins
what u have to do is first add the mins, so add 45 and 50
45+50=95
every hour has 60 mins, so convert the mins to secs
95 mins=1hr35mins
and the 1hr35mins to 7:00
1hr35mins+7hr=8hr35mins or 8:35
A tv program begins at 7:45 and ends 50 minutes later the TV program ends at 8:35.
What is time?In math, time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.
We know that every hour has 60 minutes in it.
In 7:45 it has 7 hours and 45 minutes
The TV program duration is 50 minutes
So, 45+50=95
Now, 95 minutes has 1 hour 35 minutes
Add 1 hour 35 minutes to 7:00
That is, 7 hours + 1 hour 35 minutes
= 8 hours 35 minutes
Therefore, the TV program ends at 8:35.
Learn more about time here:
https://brainly.com/question/15356513.
#SPJ3
On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime.
Identify the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'.
(x, y) Right-arrow (x – 4, y – 2)
(x, y) Right-arrow (x + 4, y – 2)
(x, y) Right-arrow (x – 4, y + 2)
(x, y) Right-arrow (x + 4, y + 2)
ps first person to answer get brilliants
Answer:
D
Step-by-step explanation:
The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:
(x, y) → (x - 4, y + 2)
Here, we have,
In the transformation, the x-coordinates of the points are shifted 4 units to the right, which is represented by subtracting 4 from the original x-coordinate.
Similarly, the y-coordinates of the points are shifted 2 units up, which is represented by adding 2 to the original y-coordinate.
Therefore, the correct rule is (x, y) → (x - 4, y + 2).
Hence, The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:
(x, y) → (x - 4, y + 2)
To learn more on transformation click:
brainly.com/question/20211457
#SPJ4
Kinda lost, can someone help me.
Answer:
Area: x^2 + 6x
Step-by-step explanation:
1. This figure resembles a parallelogram, with it's dimensions parallel to the point of congruency. Even if it wasn't a parallelogram however, you would get the basic idea of calculating it's area by height * length.
2. Knowing the dimensions to be ( x + 6 ) by x, you can multiply them through algebra as such: x ( x + 6 ) ⇒ x^2 + 6x
3. Answer: x^2 + 6x
If Sarah irons 12 shirts in 18 minutes. Write a two linear equation that represents the number of small shirts she can iron in any given time interval (t).
Answer:
s = 2/3t
Step-by-step explanation:
For some time (t) in minutes, Sarah can iron "s" shirts:
s = (12/18)t
s = 2/3t
_____
If you need to, you can start with a proportion:
shirts/minutes = s/t = 12/18
Then multiply by t to get the above equation.
Two datasets arranged in descending order are; {8, x, 4,1} and {9, y, 5,2}. If the medians of
the two given datasets are equal, what is the value of (y − x)
2
?
Answer:
1Step-by-step explanation:
A data arranged in descending order is a data arranged from the biggest to the smallest. The medisn of the data sets is the value at the middle of the dataset after rearrangment.
For the dataset {8, x, 4,1}, the median will be x and 4. Since we have two median values, we will take their average as shown
Median(1) = [tex]\frac{x+4}{2}[/tex]... 1
Simialrly for dataset {9, y, 5,2}, the median will be y and 5.
Median(2) = [tex]\frac{y+5}{2}[/tex] ...2
Since the medians of the two given datasets are equal, we will equate equation 1 and 2 and calculate for y-x as shown;
[tex]\frac{x+4}{2} = \frac{y+5}{2}[/tex]
[tex]x+4 = y+5\\x-y = 5-4\\x-y = 1\\y-x = -1[/tex]
Therefore y-x = -1
(y-x)² = (-1)²
= 1
What is the area of the triangle?
PLSSS help me
Answer:
The area of the triangle is [tex]A=6 \:units^2[/tex].
Step-by-step explanation:
The area A of a triangle is given by the formula [tex]A=\frac{1}{2} bh[/tex] where b is the base and h is the height of the triangle.
From the graph, we can see that the base is 3 units and the height is 4 units. Therefore, the area of the triangle is
[tex]A=\frac{1}{2} \cdot3\cdot 4=\frac{12}{2}=6 \:units^2[/tex]
Is a temperature of 0.67 degrees a positive number or a negative number.
Answer:
It is a positive number.
Step-by-step explanation:
Numbers that are above 0 are considered positive and numbers below 0 are considered negative.
~Anna
Find the HEIGHT of the rectangular prism given its surface area is 238 square yards.
Answer:
Height = 5
Step-by-step explanation:
Prendendo come esempio la porta disegnata da un tuo compagno, dimmi quanta vernice ti serve per dare due mani alla porta.
Sapendo che un barattolo contiene 0,75 litri di vernice e che si verniciano circa 9mq, quante porte come quella nel disegno riesci a verniciare?
Answer:
english please
Step-by-step explanation:
Answer:
English plz
Step-by-step explanation:
3+ 5x = 3
Slove for x
Answer:
x=0
Step-by-step explanation:
3+ 5x = 3
Subtract 3 from each side
3-3+ 5x = 3-3
5x = 0
divide each side by 5
5x/5 = 0/5
x = 0
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
A) 224 m2
B) 240 m2
C) 254 m2
D) 270 m2
Answer:
Correct answer is [tex]C)\ 254\ m^{2}[/tex]
Step-by-step explanation:
As per the given diagram, we know the following details:
Height of the triangular pyramid is 14m.
Side of base = 10m
Height of Triangular base = 8.7m
Formula for surface area of triangular pyramid:
[tex]\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}[/tex]
(Triangular base is shown in the dotted lines in the question figure.
The other 3 triangles are the side triangles.)
We know that,
[tex]\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}[/tex]
Hence correct answer is [tex]C)\ 254\ m^{2}[/tex].
What is the difference in the results if you calculate
(−7)² versus −7² . Why does the parentheses give us a
different result?
Answer:
Order of Operations.
Step-by-step explanation:
If we include -7 in the parenthesis, the exponent acts the negative as well. Therefore:
(-7)²= 49.
However, when squaring without the parenthesis, it will give us a negative number because:
The order of operations, or PEMDAS, states that exponents come before multiplication. Therefore, when doing '-7²', you would first need to square the '7', giving us:
-7² = -49
However, within parenthesis, everything inside will be squared.
Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11 for the salad, how much did each pizza cost? Enter your answer in the box.
Answer:
$9.32
Step-by-step explanation:
If she paid $11 for the salad, then the three pizzas cost 38.95 - 11.00 which is 27.95. Divide that by three and you get $9.32 (if you round to the nearest penny)
