X= 9/2
X= 4.5
X= 4 1/2
Answer: 9/2
Step-by-step explanation:
1.Break down the problem into these 2 equations.
x+4=3x−5
−(x+4)=3x−5
2. Solve the 1st equation: x+4=3x−5.
x=9/2
3. Solve the 2nd equation: −(x+4)=3x−5
x=1/4
4. Collect all solutions.
x=1/4,9/2
5. Check solution
When x=1/4, the original equation ∣x+4∣=3x−5 does not hold true.
We will drop x=1/4 from the solution set.
6. Therefore,
x=9/2
What is the area of this triangle?
We use the vertical side as the base: it is a vertical segment, so it's length is the difference of the y coordinates of its endpoints:
[tex] b = y_2-y_1[/tex]
The height would be the segment starting from [tex](x_3,y_3)[/tex], perpendicular to the base. Since this is a horizontal segment, its length is the difference of the x coordinates of its endpoints:
[tex]h = x_3-x_1[/tex]
So, the area is given by
[tex]A = \dfrac{bh}{2} = \dfrac{(y_2-y_1)(x_3-x_1)}{2}[/tex]
Answer:
A = 18
Step-by-step explanation:
Drop a perpendicular from (x₃, y₃) to point A on the opposite side.
The vertical line containing A is the base of the triangle, and the horizontal line is its height,
The formula for the area of a triangle is
A = ½bh
b = y₂ - y₁ = 6
h = x₃ - x₁ = 6
A = ½ × 6 × 6 = 18
The area of the triangle is 18.
Which factor pair has a product of 75?
A) 25 and −3
B) −15 and 5
C) −75 and 1
D) −25 and −3
I give you a lot of points if you do!!
Answer:
D
Step-by-step explanation:
Remembering that the product of 2 negatives is positive, then
- 25 × - 3 = 75 → D
Final answer:
Upon examining the factor pairs given in the options, none of them correctly multiply to a positive 75. There seems to be a typo in the options as none matches the requirement for the product to be 75. Most likely, the correct factor pair is missing or misrepresented.
Explanation:
The question asks to identify which factor pair has a product of 75. To find factors of 75, we look for pairs of numbers that multiply together to give the product of 75. Remember, the product of two negative numbers is positive.
Option A (25 and -3) does not give 75 as a product because 25 multiplied by -3 is -75.
Option B (-15 and 5) gives us a product of 75, since -15 multiplied by 5 is -75 (but we are looking for a positive 75).
Option C (-75 and 1) is incorrect because it results in -75, not 75.
Option D (-25 and -3) is also incorrect, as the product of two negative numbers would be positive, but it results in +75.
However, upon reviewing the options provided, it appears none of them correctly multiply to a positive 75. Most likely, there is a typo in the question or the options presented. In mathematics, finding factors of a number means identifying two numbers that, when multiplied together, give the original number. While option B's multiplication gives a product of -75, it is close to our target; we need a positive value, i.e., 75, not -75.
find a factor pair of 80 that has a sum of 21
16 and 5 are the factors
Answer: 5 and 16
Step-by-step explanation:
Because 5 plus 16 is 21.
then 5 times 16 is 80
In the year 2005, a person bought a new car for $14000. For each consecutive year after that, the value of the car depreciated by 14%. How much would the car be worth in the year 2008 to the nearest hundredth? PLEASE HELP!!!!!!!
100%-14%=86%
2006, 2007, 2008 = 3 year
14 000$ *0,86³= 14000*0,636056=8904,784
answer ≈8904,78$
Answer:
8900
Step-by-step explanation:
kavitha is going to spin the following spinner 200 times the spinner is divided into equal sections
Answer: Close to 40 times but probably not exactly 40 times
Step-by-step explanation:
Answer:
Option (D) Close to 40 times but probably not exactly 40 times.
Which equation when graphed has a maximum value at x = −2? A) y = −x2 − 20x − 16, B) y = −x2 − 16x − 12, C) y = −4x2 − 20x − 16, D) y = −4x2 − 16x − 12
Answer:
Option D. [tex]y=-4x^{2} -16x-12[/tex]
Step-by-step explanation:
using a graphing tool
Graph and determine the vertex in each case
we know that
If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be equal to -2 and the parabola open downward
case A) [tex]y=-x^{2} -20x-16[/tex]
The vertex is the point [tex](-10,84)[/tex]
case B) [tex]y=-x^{2} -16x-12[/tex]
The vertex is the point [tex](-8,52)[/tex]
case C) [tex]y=-4x^{2} -20x-16[/tex]
The vertex is the point [tex](-2.5,9)[/tex]
case D) [tex]y=-4x^{2} -16x-12[/tex]
The vertex is the point [tex](-2,4)[/tex] -------> is the answer
see the attached figure
The equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12, determined by finding the vertex of each quadratic equation and identifying the one with the vertex x-coordinate at -2.
The given equations are all in quadratic form, which can have a maximum value at their vertex point if the leading coefficient is negative. To find the equation that has a maximum value at x = -2, we need to put the equations in vertex form, which is y = a(x - h)^2 + k, where (h, k) is the vertex. By transforming the given equations, we seek the equation that has its vertex at x = -2. This is done by completing the square or using the formula h = -b/(2a) to find the x-coordinate of the vertex.
Let's apply the formula h = -b/(2a) to each equation:
For A) y = -x^2 - 20x - 16, we have a = -1, b = -20, so h = -(-20)/(2 × -1) = 10, which is not equal to -2.For B) y = -x^2 - 16x - 12, using the same approach, we find h = -(-16)/(2 × -1) = 8, again not equal to -2.For C) y = -4x^2 - 20x - 16, with a = -4, b = -20, h = -(-20)/(2 × -4) = 2.5, which is not equal to -2.For D) y = -4x^2 - 16x - 12, we find h = -(-16)/(2 × -4) = -2, which matches the required vertex x-coordinate.Therefore, the correct equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12.
Be awesome! Is a new cross fit gym in town. The gym is almost set to its grand opening. The contractors are doing flooring. Gymnasium flooring cost $4.50 per square foot. The gym has 2 main rooms, one in a shape of a regular hexagon and the other in a shape of a regular nonagon. Both rooms have side lengths of 50 feet. Which of the following represents the closest estimate for the total of gymnasium flooring material? A: 29229 B: 40000
C: 69545 D: 98774
Answer:
D
Step-by-step explanation:
We need to find total area of the two rooms (hexagon and nonagon) and then multiply that by 4.5 to get total cost.
Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}[/tex]
Where a is the side length (which is 50)
Hence,
Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}=\frac{3\sqrt{3}(50)^{2} }{2}=6495.2[/tex]
Also, area of Nonagon is given by [tex]6.1818*s^2[/tex]
Where s is the length of the side
Hence,
Area of Nonagon = [tex]6.1818*s^2=6.1818*(50)^2=15,454.5[/tex]
Total floor area = 6495.2 + 15,454.5 = 21,949.7
Hence,
Total Cost = 21,949.7 * 4.5 = 98,773.65
THis is closest to the answer choice D.
X-intercept (__,__)
Y-intercept (__,__)
Look at the picture.
The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.
x-intercept (-250, 0)
y-intercept (0, 100)
What is the value of w?
Answer options: 100, 75, 40, 52.5
➷ Opposite angles in a cyclic quadrilateral total to 180 degrees
180 - 80 = 100
w = 100 degrees
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
I really need help with this, my teacher doesn't really teach and I'm stumped again.
Answer:
JMK = 54
JKH = 126
HLK = 90
HJL = 27
LHK = 63
JLK = 27
Step-by-step explanation:
Just use 180 for total angles in each triangle. Vertical angles mean the opposite to 126 is 126 and the other two that make up the inner vertices are (360- 126*2)/2 = 54
So, 126, `16, 54 , 54 are the inner angles in the circle. Just go from there.
8(-2/7)(-1/2)
a -4/7
b 4/17
c 7/4
d 8/7
Answer:
d 8/7
Step-by-step explanation:
8 * -2 * -1
---- ----
7 2
Multiply the numerators
8*-2*-1 = 16
Multiply the denominators
7*2 =14
Put the numerator over the denominator
16/14
Both the numerator and the denominator can be divided by 2
8/7
evaluate the expression -10-6+4 divided by (-0.5)(-2)
Answer:
-12
Step-by-step explanation:
numerator: -10 - 6 + 4 = -16 + 4 = - 12
denominator: (-0.5)(-2) = 1 Try this on your calculator.
Answer
-12 / 1 = - 12
NEEDED ASAP!
A rectangular prism is 1 1/2 ft long, 2/3 ft wide, and 5/6 ft high. What is the surface area of the prism in square inches? show your work.
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ There are 6 surfaces:
2 of them have an area of 84 square inches
2 of them have an area of 37 1/3 square inches
2 of them have an area of 1
You add them all together, and you get:
Final answer:
244 2/3 square inches
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
The total surface area for the given prism is 808 square inches.
The question asks to calculate the surface area of a rectangular prism in square inches. The dimensions given are 1 1/2 ft (length), 2/3 ft (width), and 5/6 ft (height). To convert these measurements to inches, we multiply by 12 since there are 12 inches in a foot. Thus, the dimensions in inches are:
Length: 1 1/2 ft x 12 = 18 inchesWidth: 2/3 ft x 12 = 8 inchesHeight: 5/6 ft x 12 = 10 inchesTo find the surface area, we calculate the area of each face and then sum them:
Area of the front/back faces: Length x Height = 18 inches x 10 inches = 180 square inches (two faces, so 2 x 180 = 360 square inches)Area of the top/bottom faces: Length x Width = 18 inches x 8 inches = 144 square inches (two faces, so 2 x 144 = 288 square inches)Area of the side faces: Width x Height = 8 inches x 10 inches = 80 square inches (two faces, so 2 x 80 = 160 square inches)Now, add up all the areas of the faces to get the total surface area:
Surface Area = 360 + 288 + 160 = 808 square inches.
help plz it should be easy, But not to me...
Answer:
To find the answer, you must multiply/divide the amount in cups by calories per cup.
Step-by-step explanation:
Butter only has 0.3 cups, so The calories will only be 30% of what is written down. 30% of 1627= 488.1 calories
Marshmallows is 4.25 times larger then the calories per cup, so now you'll have to multiply.
4.25*159=675.75 calories
Finally, Cereal is 5.5 times larger then the calories per cup, so we will multiply again.
5.5*101=555.5 calories
Finally, add all the number together to find the total amount of calories in the marshmallow treats.
555.5+675.75+488.1=1,719.35 calories
There is a total of 1,719.35 calories in the marshmallow treats.
When an elephant sat down to order a half of a third of a quarter of an eighty foot bun and a frankfurter, son was it longer than three feat o shorter
1/2 of 1/3 of 1/4 of 80ft
= 1/2 of 1/3 of (1/4 of 80ft)
= 1/2 of 1/3 of 20ft
= 1/2 of (1/3 of 20ft)
= 1/2 of (20/3) ft
= 20/6 ft
> 18/6 ft
= 3ft
So the order was longer than 3 feet.
What is the total sum of degrees in a triangle ?
Answer:
Step-by-step explanation: 180
I think the answer is 180
What are the x and Y intercepts of Y=x^2+3x-10
Answer:
X-int: (2,0) , (-5,0)
Y-int: (0,-10)
need help azp plz it on the photo
1 + x < 5
the sum means addition, so the sum of 1 and x is 1 + x and less than 5 means exactly that, less than 5. The less than sign is represented by <
The statement "the sum of 1 and x is less than 5"written as an inequality is 1 + x < 5.
x < 4
How to write inequality?An inequality is a statement that is of two quantities one is specifically less than (or greater than) another.
The sum of 1 and x is less than 5
1 + x < 5
Subtract 1 from both sides
x < 5 - 1
x < 4
Therefore, x is less than 4
Read more on inequality:
https://brainly.com/question/24372553
#SPJ3
A car went 120 miles in 3 hours. At this rate how long will it take for the car to travel in 350 miles
Answer:
8.75 hours
Step-by-step explanation:
120 miles in 3 hours = 40 mph
350 divided by 40 = 8.75
find the volume of a sphere of radius 3 centimeters.
Answer:
36π cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated using the formula
V = [tex]\frac{4}{3}[/tex]πr³ ← r is the radius = 3
V = [tex]\frac{4}{3}[/tex]π × 3³
= [tex]\frac{4}{3}[/tex]π × 27
= 4π × 9 ( cancelling the 3 and 27 )
= 36π cm³
Here is your answer
B) [tex]36×pi[/tex] [tex]{cm}^{3}[/tex]
REASON:
We know that,
Volume of sphere= [tex] 4/3 pi×{r}^{3} [/tex]
Here r= 3cm
So, V= [tex] 4/3 × pi× {3}^{3} cm^3 [/tex]
= [tex] 4×pi × {3}^{2} cm^3 [/tex]
= [tex] 4×9× pi cm^3 [/tex]
= [tex] 36× pi cm^3 [/tex]
HOPE IT IS USEFUL
PLEASE PLEASE HELP ME ASAP
The correct answer is 36.
An auditorium has three levels. Level 1 seats 3,577 people, Level 2 seats 5,214 people, and Level 3 seats 5,879 people. How many seats are in all three levels combined? A. 8,991 B. 14,670 C. 14,970 D. 14,370
3577+5214+5879
=8791+5879
=14670
Answer
B. 14,670
The total number of seats in all three levels of the auditorium is calculated by adding the number of seats on each level, resulting in 14,670 seats.
To calculate the total number of seats in all three levels of the auditorium, we add the number of seats available on each level together. The calculation is as follows:
Level 1: 3,577 seats
Level 2: 5,214 seats
Level 3: 5,879 seats
Add these numbers to get the total:
3,577 + 5,214 + 5,879 = 14,670 seats
Therefore, the correct answer is B. 14,670, which is the combined number of seats in all three levels of the auditorium.
Please help and show work!! Will mark brainliest!!
Answer: Reserved = 431, General Admission = 1356
Step-by-step explanation:
Let x represent the Reserved tickets.
Let y represent the General Admission tickets.
Cost Equation: 4x + 3y = 5792
Quantity Equation: x + y = 1787
Use Elimination Method:
4x + 3y = 5792 → 1(4x + 3y = 5792) → 4x + 3y = 5792
x + y = 1787 → -3( x + y = 1787) → -3x - 3y = -5361
x = 431
Now substitute x = 431 into one of the original equations:
x + y = 1787
431 + y = 1787
y = 1356
what value is equivalent to
Answer:
D
Step-by-step explanation:
An absolute value is measuring how far away the value is from 0.
Since -1/4 is 1/4 away from 0, D is the answer.
can u please help me solve 6x-3(2-3x)
Answer:
[tex]\boxed{\bold{15x-6}}[/tex]
Step By Step Explanation:
Expand [tex]\bold{-3\left(2-3x\right)}[/tex]
[tex]\bold{-6+9x}[/tex]
Rewrite Equation
[tex]\bold{6x-6+9x}[/tex]
Simplify [tex]\bold{6x-6+9x}[/tex]
[tex]\bold{15x-6}[/tex]
➤ [tex]\boxed{\bold{Mordancy}}[/tex]
Order the numbers from least to greatest.
99, π2, 9.8
From least to greatest, the numbers are
Answer:
Step-by-step explanation:
Unfortunately, your π2 is improperly formed. I will assume that you actually meant π² ("pi squared").
Then the three numbers are 99, 9.87, 9.8.
Smallest: 9.8
Largest" 99 (did you mean 9.9?)
Under the assumptions I have made, the numbers, in increasing order, are 9.8, 9.87, 99
Answer:
From least to greatest, the numbers are [tex]99,\ \pi^2,\ 9.8[/tex]
Step-by-step explanation:
Given : The numbers are [tex]99,\ \pi^2,\ 9.8[/tex]
To find : Order the numbers from least to greatest ?
Solution :
Writing all numbers in same from,
We know, [tex]\pi=3.14[/tex]
[tex]\pi^2=(3.141)^2=9.86[/tex]
Numbers are [tex]99,\ 9.86,\ 9.8[/tex]
The least number is 9.8.
The greatest number is 99.
From least to greatest, the numbers are [tex]9.8,\ 9.86,\ 99[/tex]
or [tex]99,\ \pi^2,\ 9.8[/tex]
Write a linear equation that goes through the points (0,4) and (4,10).
A. y =2⁄3x – 4
B. y =2⁄3x + 4
C. y =3⁄2x – 4
D. y =3⁄2x + 4
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0 , 4) and (x₂, y₂ ) = (4, 10)
m = [tex]\frac{10-4}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
note the line passes through (0, 4) ⇒ c = 4
y = [tex]\frac{3}{2}[/tex] x + 4 ← equation of line → D
Please someone hurry. Please.
Which graph represents an exponential function?
Answer:
The first graph.
Step-by-step explanation:
An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate.
The only graph that fits these characteristics is the first one.
Answer:
First graph is the exponential function
Step-by-step explanation:
The x value of exponential function is all real numbers
x can take any value positive or negative numbers
In the first graph , as x value increases the graph goes down
The first graph is an exponential function .
Second graph is the cubic function as the graph goes from left and it goes down on the right .
Third graph is an rational function because we have two graph on both sides of vertical asymptote
The fourth graph is not an exponential function as the domain is not all real numbers.
Lean more : brainly.com/question/15535185
What is the length of segment EF?
EF = square root of 58 end square root
EF = three square root of 10 end square root
EF = 9
EF = 90
Answer:
[tex]EF=3\sqrt{10}\ units[/tex] ------> three square root of 10
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
In this problem we have
[tex]E(-1,-1)\\F(8,-4)[/tex]
substitute the values
[tex]EF=\sqrt{(-4+1)^{2}+(8+1)^{2}}[/tex]
[tex]EF=\sqrt{(-3)^{2}+(9)^{2}}[/tex]
[tex]EF=\sqrt{90}\ units[/tex]
[tex]EF=3\sqrt{10}\ units[/tex]