Answer: (-3,1)
Step-by-step explanation:
The range is the set of possible output values, which are shown on the y-axis.
solve the equation 2x²-x-8=0
Answer:
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Step-by-step explanation:
[tex]2x ^{2} - x - 8 = 0[/tex]
[tex]x = \frac{ - ( - 1)± \sqrt{( - 1 {)}^{2} } - 4 \times 2 \times ( - 8)}{2 \times 2} [/tex]
[tex]x = \frac{1± \sqrt{1 + 64} }{4} [/tex]
[tex]x = \frac{1± \sqrt{65} }{4} [/tex]
[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]
Answer:
[tex]x=\frac{-1+-\sqrt{65}}{4}[/tex]
Step-by-step explanation:
Using the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}\\x=\frac{-1+-\sqrt{-1^{2}+64}}{4}\\x=\frac{1+-\sqrt{65}}{4}\\[/tex]
What is the reflection image of (5, -3) across the line y = -x?
(3,5)
(-3,5)
(3,-5)
(-3,-5)
Answer:
(3, - 5 )
Step-by-step explanation:
Under a reflection in the line y = - x
a point (x, y ) → (- y, - x ) , then
(5, - 3 ) → (3, - 5 )
9516x 51 plz put steps
Answer:
9516
x51
9516 (first multiply by 9561 by 1)
47580 (second multiply 9561 by 5)
485316 (add two result.)
9516+47580=57096 this is wrong.we add 9516+47580 with shift one space of 47580Step-by-step explanation:
What number is 37% of 7
Answer:
2.59
Step-by-step explanation:
37% 7
37 times 100
2.59
Answer:
2.59
Step-by-step explanation:
37% of 7
37*100
2.59
find the HCF of things in division method 324 432 and
540
Answer:
the answer is 48
Step-by-step explanation:
In the pyramid above, each triangular face
has the same area, and the base MNPQ is
a square that measures 8 centimeters on
each side. If the length of RS = 6
centimeters, what is the surface area of
the pyramid excluding the base?
A. 48 sq cm
B. 96 sq cm
C. 128 sq cm
D. 160 sq cm
Answer:
B
Step-by-step explanation:
A=1/2bh=1/2(8)(6)=24
4 × 24 = 96 sq cm
the probability that will rain tomorrow 0.85. what is the probability that will not rain tomorrow?
Answer:
0.15
Step-by-step explanation:
0.85 = 85%
100% - 85% = 15%
15% = 0.15
Create a situation that would require both the functions,f(x) and g(x), and is related to the situations you have already outlined. Use addition or subtraction to combine the functions
Answer:
The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.
Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:
p(x) = f(x) − g(x)
= (2x + 5x) − (2x2 − 13x + 6)
= 2x^2 + 5x − 2x^2 + 13x − 6
= 18x − 6
p(x) = 18x − 6
The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:
$2.45p(x) + $0.25g(x)
= $2.45(18x − 6) + $0.25(2x^2 − 13x + 6)
= $(44.1x − 14.7) + $(0.5x2 − 3.25x + 1.5)
= $0.5x2 + $40.85x – $13.20.
Step-by-step explanation:
Edmentum answer
The area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then we have p(x) = f(x) − g(x).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.
Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:
p(x) = f(x) − g(x)
= (2x + 5x) − (2x² − 13x + 6)
= 2x² + 5x − 2x² + 13x − 6
= 18x − 6
p(x) = 18x − 6
The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:
2.45p(x) + 0.25g(x)
= 2.45(18x − 6) + 0.25(2x² − 13x + 6)
= (44.1x − 14.7) + (0.5x² − 3.25x + 1.5)
= 0.5x² + 40.85x – 13.20
Therefore, the total costs for paving the path and mulching the garden can be represented by the function is 0.5x² + 40.85x – 13.20.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
2. Here is a polygon. Draw a scaled copy of the
polygon using a scale factor of 3.
A
B
D-
с c
A man har
A scale drawing is an illustration of shape where the accurate size of the new shape is in proportion to the previous shape.
Given that:
[tex]k = 3[/tex] --- the scale factor
From the given polygon, we have:
[tex]Side_1 = 8[/tex]
[tex]Side_2 = 6[/tex]
The corresponding sides of these two sides are:
[tex]Side_1 = 8 \times 3[/tex]
[tex]Side_1 = 24[/tex]
[tex]Side_2 = 6 \times 3[/tex]
[tex]Side_2 = 18[/tex]
See attachment for the scaled drawing
Read more about scaled drawing at:
https://brainly.com/question/980463
Solve for x pls show your work
1/6x-1/8=11/12
Answer:
x = 25/4
Step-by-step explanation:
1/6x-1/8=11/12
The least common multiple for 6, 8, and 12 is 24
Multiply both sides by 24 to clear the fraction
24 (1/6x-1/8=11/12)
4x -3 = 22
Add 3 to each side
4x-3+3 = 22+3
4x= 25
Divide each side by 4
4x/4 = 25/4
x = 25/4
How much should each person receive?
5.
Ed and Ted win half a million dollars on an internet lottery.
They decide to share the money in the ratio 13 : 12.
How much more will Ed receive than Ted?
5x -4= 4x please help me
[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]
Answer:
4=x
Step-by-step explanation:
5x-4=4x
-4=-x
4=x
what is formula for volume of a cylinder?
Answer:
V = π × r² × h
Step-by-step explanation:
All you need to do is multiply the base times the height and since the base is a circle whose formula is π × r², we get π × r² × h.
A train is traveling at a velocity of 75 km/hr it takes a train 5 hours to get to its destination how far did the train travel to get to its destination
Answer:
On his day off, Lee took a trip to the zoo. He drove an average speed of 65 mph, and it took him two-and-a-half hours to get from his house to the zoo.
Step-by-step explanation:
Find the slope of the line through the given points. 1. (-4,-3) and (7, 1)
Answer:
4/11
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1 - -3)/(7 - -4)
= (1+3)/(7+4)
= 4/11
Find the missing endpoint, help
Answer:
M = (13, - 6 )
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.
L (- 9, 4 ) , let M = (x, y ) , then
[tex]\frac{-9+x}{2}[/tex] = 2 ( multiply both sides by 2 )
- 9 + x = 4 ( add 9 to both sides )
x = 13
and
[tex]\frac{4+y}{2}[/tex] = - 1 ( multiply both sides by 2 )
4 + y = - 2 ( subtract 4 from both sides )
y = - 6
Then
coordinates of M = (13, - 6 )
What is 8259 rounding to the tens place
Answer:
8260
Step-by-step explanat11:
g
Answer: 8260
Step-by-step explanation:
From the decimal point (well, where it would be in this case = 8259.0) you start at the decimal and moving to the left would be tens, hundreds, thousands, etc. So once you know which digit you are looking at to round, 5 and higher, you round up, 4 and below, round down.
So if it was 8253 it would have been 8250.
perform the following operations when f(x)= x^2+5x and g(x)=4x-7
9. f(x)+g(x)
10. f(x)-g(x)
11. f(x)•g(x)
12. g(x)-f(x)
Answer:
See Below.
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = x^2 + 5x \text{ and } g(x) = 4x - 7[/tex]
9)
We want to find:
[tex]f(x) + g(x)[/tex]
Substitute:
[tex]\displaystyle = (x^2 + 5x) + (4x - 7)[/tex]
And combine like terms. Hence:
[tex]f(x) + g(x) = x^2 + 9x - 7[/tex]
10)
We want to find:
[tex]f(x) - g(x)[/tex]
Substitute:
[tex]= (x^2 + 5x) - (4x - 7)[/tex]
Distribute:
[tex]= (x^2 + 5x) + (-4x +7)[/tex]
And combine like terms. Hence:
[tex]f(x) - g(x) = x^2 +x +7[/tex]
11)
We want to find:
[tex]\displaystyle f(x) \cdot g(x)[/tex]
Substitute:
[tex]\displaystyle = (x^2 + 5x)(4x-7)[/tex]
Expand:
[tex]\displaystyle = 4x(x^2 + 5x) - 7(x^2 + 5x) \\ \\ = (4x^3 + 20x^2) + (-7x^2 -35x) \\ \\ = 4x^3 + 13x^2 - 35x[/tex]
Hence:
[tex]\displaystyle f(x) \cdot g(x) = 4x^3 + 13x^2 - 35x[/tex]
12)
We want to find:
[tex]g(x) - f(x)[/tex]
Substitute:
[tex]= (4x -7) - (x^2 + 5x)[/tex]
Distribute:
[tex]= (4x-7) + (-x^2 - 5x)[/tex]
And combine like terms. Hence:
[tex]\displaystyle g(x) - f(x) = -x^2 -x -7[/tex]
some mosquito trying to go in my ear
buz buz
should be the right answer but im not sure
1) 5* + 5* +1 + 5x + 2 = 155
Answer:
24.8Step-by-step explanation:
solution,= 5+5+1+5x+2=155=ADD ALL THE NUMBER REMSIN 5X BECAUSE IT IS NOT COMMON=13+5x=155now take 13 to the next side it will be +13=-13=5x=155-13=5x=142= now take 5x to another side it will divide 142=x=142÷5x=28.4 please make me Brainlist- 0.04 is 10 times as great as which
decimal?
A
0.4
(
0.1
© 0.004
D 0.001
Answer:
C? The formating is messed up but -0.04 is 10 times larger then -0.004
Step-by-step explanation:
For any two integers x and y, | x + y | = | x | + | y |
true or false
1. Translate the given triangle using the
translation rule: (x + 3, y - 2)
www.ck12.org Chapter 1. Unit 1: Transformations, Congruence and Similarity
Guidance
In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a
new shape (called the image). A translation is a type of transformation that moves each point in a figure the same
distance in the same direction. Translations are often referred to as slides. You can describe a translation using words
like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.
1. One notation looks like T(3,5). This notation tells you to add 3 to the x values and add 5 to the y values.
2. The second notation is a mapping rule of the form (x,y) → (x −7,y +5). This notation tells you that the x and
y coordinates are translated to x −7 and y +5.
The mapping rule notation is the most common.
Example A
Sarah describes a translation as point P moving from P(−2,2) to P′(1,−1). Write the mapping rule to describe this
translation for Sarah.
Solution: In general ,P(x,y) → P′(x +a,y +b).
In this case, P(−2,2) → P′(−2+a,2+b) or P(−2,2) → P′(1,−1)
Therefore:
−2+a = 1 and 2+b = −1
a = 3 b = −3
The rule is:
(x,y) → (x +3,y −3)Answer:
Step-by-step explanation:
A photographer can take 12 pictures in 5 minutes how long will it take him to take 132 pictures how much mixtures
Work Shown:
(12 pictures)/(5 minutes) = (132 pictures)/(x minutes)
12/5 = 132/x
12x = 5*132
12x = 660
x = 660/12
x = 55
Note: I used the cross multiplication rule in the third step.
Hii!! Please help, if you can :)
(I can give you 15 points)
Answer:
2.25 (2 1/4) this is what i got for the answer to the division problem.
Step-by-step explanation:
sorry if i am wrong
Pixel goes shopping with one hundred dollars and ends up buying three different types of items: A, B, and C. The unit price of A is five dollars, B is 25 cents, and C is five cents. Pixel comes home and finds that all the money had been spent, but discovers that the total number of items is exactly equal to100. How many items of each kind did Pixel buy? No fractions allowed. (Spend exactly 100 dollars and buy a total of 100 items)
Answer:
A - 16, B - 79, C - 5Step-by-step explanation:
Given
A costs 5$B costs $0.25C costs $0.05A + B + C = 1005A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000Subtract the first equation from the second:
99A + 4B = 1900We have a restriction in numbers:
0 < A, B, C < 100Since 4B can be max 400, we get 99A > 1500 and 99A < 1900 so:
A > 1500/99 > 15and
A < 1900/99 < 19A can be 16 or 18 as it should be even number to get B the whole number.
If A = 16:
99*16 + 4B = 19004B = 1900 - 15844B = 316B = 316/4 = 79If A = 18:
99*18 + 4B = 19004B = 1900 - 17824B = 118B = 118/4 = 29.5, discarded as decimalSo we get:
A = 16, B = 79 and C = 100 - (16 + 79) = 5Let's proof the numbers:
16*5 + 79*0.25 + 5*0.05 = 100, confirmedevaluate f(-2) with the given function: {(-2,1), (-8,9), (9,-8)}
F(-2) means they want the y value when c = -2
In the given function the numbers inside the parentheses are x first and y second.
One of the sets is (-2,1) this shows x at -2 and y at 1, so f(-2) = 1
Answer : 1
The high school has been raising money
for charity and the class that raises the most will be awarded a party at the end
of the year. The table shows how much money each class has raised.
The school has a goal of raising at least $3000. Which inequality shows how much more money m they need to raise to reach their goal?
Seniors - 870
Juniors - 650
Sophomores - 675
Freshman - 590
ITS ALGEBRA!!HELP
Step-by-step explanation:
Together they have $2735. 3000-2735=265 so the inequality is m>=265
After 3.5 hours, Porsha had travelled 217 miles. If she travels at a constant speed how far will she have travelled after 4 hours?
If f(x) = 7x2 - 4x, what is the value
of f(2)?
F -8
J 17
G 2
K 20
H 6
Answer:
K 20
Step-by-step explanation:
f(x) = 7x2 - 4x
f (2) = 7 (2)^2 - 4(2)
= 28 - 8
= 20
Since they replaced the x inside f(x) with 2, just do that the same to the right side, change all x into 2