Answer:
vertex point at (-2|11)
f(x)=-2*((x+2)^2+1*-11/2) (simplified)
Step-by-step explanation:
f(x)=-2*x^2+-8*x+3
f(x)=-2*(x^2+4*x+-3/2) ( Factor out )
f(x)=-2*(x^2+4*x+(2)^2+-1*(2)^2+-3/2) ( Complete the square )
f(x)=-2*((x+2)^2+-1*(2)^2+-3/2) ( Use the binomial formula )
hope this helped, I didn't get much to work with so if i'm wrong i'm sorry
1. Write as a mathematical equation.
The sum of a number and 5 times the number is 42.
(n + 5). n = 42
n + 5n = 42
(n + 5). n
n + 5n
Answer:
2nd option: n + 5n = 42
Step-by-step explanation:
Please help me solve my problem!!!
Answer:
B. Parallelogram
Step-by-step explanation:
1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)
2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.
3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.
4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.
5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.
6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that B. Parallelogram is the type of polygon that this figure is.
land value is increased by 12 % in each year in 2016 , the value is $60000.
i )what us the land value after 4 years
ii) Calculate the increase of the land value during these 4 years.
Answer:
I=use PTR/100
ii =p+i
Step-by-step explanation:
hope you like it
The graphs below have the same shape. f(x) = x.
What is the equation of the graph of g(x)?
A. g(x)=x^2-2
B. g(x)=(x-2)^2
C. g(x)=(x+2)^2
D. g(x)=x^2+2
Answer: D
Step-by-step explanation:
I think it’s D I’m not sure
If x÷36= -234 what is the value of x
Answer:
x =-8424
Step-by-step explanation:
x÷36= -234
Multiply each side by 36
x÷36 *36 = -234 *26
x =-8424
Answer:
x = -8424
Step-by-step explanation:
[tex]x \div 36 = -234\\\\\frac{x}{36} = -234\\\\x = -234 \times 36 = -8424[/tex]
The solution of the equation (x+3) squared=7 is
Answer:
( x+3 )² = 7
expand ( x+3 )² : x²+6x+9
x²+6x+9=7
x²+6x+2=0
use a scientific calculator casio mode setup click no 5 , then click 3 input the equation
a = 1
b = 6
c = 2
answer : x = -3+square root 7 or x = -3-square root 7
help me please!! it's for math
Answer:
a. In one minute it will fall 200 feet.
b. In two minutes it will fall 400 feet.
c. In three minutes it will fall 600 feet.
Step-by-step explanation:
a. The information given states that each minute it falls 200 feet. That means that for one minute it has fallen 200 feet.
b. 200 + 200 because another minute has passed.
c. 400 + 200
12 less than a number is equal to the product of 7 and that number. Convert into an
equation and find the number?
Please explain it step by step
Answer:
x -12 = 7x
x = -2
Step-by-step explanation:
Let the number be x
12 less than the number is:
x -12
equals the product of 7 and that number (7 * x)
x -12 = 7x
7x - x = -12
6x = -12
x = -12/6
x = -2
Whats the value of x in this triangle
Answer:
x =33.48537662
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin x = 32/58
Taking the inverse sin of each side
sin^-1 (sin x) = sin ^-1( 32/58)
x =sin ^-1( 32/58)
x =33.48537662
Answer:
33.47 degrees
Step-by-step explanation:
sin=32/58
sin^-1(32/58)= 33.47
Mr. Catone noticed that many of the students in his classes had been born in
another country. He randomly chose 16 students and found that 7 of them
had been born in another country. If Mr. Catone's sample is representative,
which of the following is closest to the number of his 144 students who were
born in another country?
o
A. 54
Option A
B. 63
O
C. 72
D. 112
O
Item #3050
simplify (5+1)2 - (12+32) /3
Answer:
-8/3
Step-by-step explanation:
(5+1)2 - (12+32) /3
(6)(2) - (44)/3
12 - 44/3
-8/3
Which of the statements below is/are true for the following function? f (x) = x^3 – 7x^2 + 36
Select all that apply.
A f(-14) = 5
В. f(x) = (x – 5) (x^2 – 2x – 10) +4
C. The remainder when f(x) is divided by (x - 5) is - 14.
D. f(5) = -14
E The remainder when f(x) is divided by (x + 14) is 5
Answer:
C
Step-by-step explanation:
the value of x is 5 sub 5 into the formula your ans will be -14
**PLEASE HELP THIS IS FOR A FINAL**
Please show work as well
find the value of x and y, (x+y, 2x-y)= (13, 2)
Answer:
Step-by-step explanation:
comparing corresponding elements
x + y = 13
2x - y = 2
Now use substitution method.
x + y = 13
x = 13 - y equation(i)
substitute the value of x
2x - y = 2
2(13 - y) - y = 2
26 - 2y - y = 2
-3y = 2 - 26
y = -24/-3
y = 8
substitute the value of y in eqaution(i)
x = 13 - y
x = 13 - 8
x = 5
therefore , x = 5 and y = 8
To check :
x + y = 13
when we add x and y then must come 13
5 + 8 = 13
13 = 13
2x - y = 13
substitute the value of x and y . REsult must come 2
2*5 - 8 = 2
10 - 8 = 2
2 = 2
10 - 8 = 2
Answer:
x = 5, y = 8
Step-by-step explanation:
Another way to write (x+y, 2x-y)= (13, 2) is
x + y = 13 -- (1)
2x - y = 2 -- (2)
using the elimilation method,
Rewriting (1), y = 13 - x --(1)'
Replacing (1)' into (2),
2x - ( 13 - x) = 2
2x - 13 + x = 2
3x = 15
x = 5 -- (3)
Replacing (3) into (1),
5 + y = 13
y = 8 -- (4)
Accorindg to (3) and (4),
x = 5, y = 8
If this helps you, please give brainliest!
Find the length of the missing side.
40 m
24 m
The length of the missing side is
m.
Answer:
40 m and 34 m
Step-by-step explanation:
vas muy bien seguro asi q hazlo tu JAJJA
Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age
Answer:
38.5 years old
Step-by-step explanation:
Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.
(Mrs.Kelly's age) + (Brother) = (62)
Substitute,
(k) + (k - 15) = 62
Simplify,
k + k - 15 = 62
2k - 15 = 62
Inverse operations,
2k - 15 = 62
2k = 77
k = 38.5
In a survey of 2,700 people who owned a certain type of car, 95 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
To solve this you would do 1350/2700 which is 50%
Hope this answer helps you :)
Have a great day
Mark brainliest
Solve this plz for god sake
Answer:
AB = 8.66 m
Step-by-step explanation:
Here, we want to get the length AB
What we have is a right triangle
so to get the length AB, we are going to use the appropriate trigonometric ratio
From the question, AB faces the given angle and that makes it the opposite
AC faces the right angle and that makes it the hypotenuse
The relationship between the hypotenuse and the opposite can be defined by the sine
the sine of an angle is the ratio of the length of the opposite to the hypotenuse
so, we have it that;
sine 60 = AB/10
AB = 10 * sine 60
AB = 8.66 m
Write an equation of the line that passes through the points (3.2) and (6,11). Show your work!
Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Points (3,2) and (6,11)
[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]
Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=3(3)+b\\2=9+b[/tex]
Subtract 9 from both sides
[tex]2-9=9+b-9\\-7=b[/tex]
Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-7[/tex]
I hope this helps!
Here are the first five terms of an arithmetic sequence.
26 19 12 5 -2
Find an expression, in terms of n, for the nth term of this sequence.
(I know part of it is -7n but I'm not sure what the rest would be)
33-7n is the required expression.
Have a nice day!!
Answer:
the answer is -7n+ 33
Step-by-step explanation:
i usually just add the constant difference to the first term to create the last value . it sometimes doesnt work but does most times
What’s the Missing Side?
PLEASEE HELPP
Answer:
missing side =19 ft
Step-by-step explanation:
area of a triangle =base *height/2
57=base*6/2
57*2=base*6
114=base*6
114/6=base
19 ft=base
Find the difference. Show your solutions as two steps: First rewrite the subtraction as addition; then carry out the addition to find the answer. 8 − 5 = 8 + 8+5 Incorrect: Your answer is incorrect. = 45 Incorrect: Your answer is incorrect.
Answer:
[tex]8 - 5 = 3[/tex]
Step-by-step explanation:
Given
[tex]8 - 5 =[/tex]
Required
Solve
Step 1: Write as addition
Simply change the positions of -5 and (+)8
[tex]8 - 5 = -5 + 8[/tex]
Step 2: Add
[tex]8 - 5 = 3[/tex]
PLEASEEEEEEEEEEE HELPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
1.04
$45,552
Step-by-step explanation:
new price = 1.04 * original price
new price = 1.04 * 43,800
newprice: $45,552
Find the measure of LABC. (Hint: Solve for x first.)
PLEASE HELP I NEED IT REALLY FAST!!!!
The length is 5
Step-by-step explanation:
Let the length be x
Width = ( X - 2)
Area = 15
area = length * width
15 = x(x -2)
15 = x² - 2x
x² - 2x - 15 = 0
(x² + 3x) - (5x - 15) = 0
x(x + 3) - 5(x + 15) = 0
x - 5 = 0 or x + 15 = 0
x =5 or x = -15
x = 5
If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x. Write the following algebraically, using x as your unknown. "I think of a number, multiply it by 4 and add 5 to the result"
Answer:
4x + 5
Step-by-step explanation:
Copy PQ to the line with an endpoint at R.
This task will be complete when you have
drawn an arc intersecting the line to create
a segment with length PQ.
Answer: Hello your question lacks some details attached below is the complete question
answer:
Place a compass at point Q , measure arc PQ Draw an arc with the compass that is equal to PQ , Place the compass at point R , cut through the line to the left of R with the arc in compass, Assume the new points to be P' and R be Q' , where P' Q' will become the new image of PQ with their end point will be RStep-by-step explanation:
The steps required to draw an arc intersecting the line that will create a segment with length PQ are ;
Place a compass at point Q , measure arc PQ
Draw an arc with the compass that is equal to PQ , Place the compass at point R , cut through the line to the left of R with the arc in compass,
Assume the new points to be P' and R be Q' , where P' Q' will become the new image of PQ with their end point will be R
Answer:
Set the compass width to the length PQ by putting one end on P and the other and on Q
Without changing the width, move the compass so one end is on R and the other end is on the line containing R
Draw an arc across the line using R as the center
Mark the point where the arc crosses the line as point S
RS is the copied segment.
Step-by-step explanation:
what is the range of 20,15,10,5
Answer:
15
Step-by-step explanation:
Since range is the difference between the highest valued character and the smallest
20-5=15
14.) Solve for x if mZHWO
= 40", mHo is (x - 2) and
mYD is (x + 6).
x=
D
H
W
Y
Answer:
x = 38
Step-by-step explanation:
The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )
2x + 4 = 80 ( subtract 4 from both sides )
2x = 76 ( divide both sides by 2 )
x = 38
Simplfiy the expression
12/c^-8d^2?