Answer:
25 km
Step-by-step explanation:
100/20=5
5*5=25
h(x) = x ^ 2 - 7x - 8 1) What are the zeros of the function? Write the smaller first, and the larger second smaller I largerx = 2 ) What is the vertex of the parabola ?
Answer:
The zeros are x = -1 and x = 8
The vertex is (3.5, -20.25)
Step-by-step explanation:
When we have a quadratic equation like:
y = a*x^2 + b*x + c
The zeros of the function are the values of x such that:
a*x^2 + b*x + c = 0
And the solutions are given by the Bhaskara's equation, which is:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
And the vertex is at:
x = -b/2a
The y-value at the vertex is the function evaluated in that point.
In this case, we have the equation:
h(x) = x^2 - 7*x - 8
Then:
a = 1
b = -7
c= -8
Replacing these in the Bhaskara's equation we get:
[tex]x = \frac{-(-7) \pm \sqrt{(-7)^2-4*1*(-8)} }{2*1} = \frac{7 \pm 9 }{2}[/tex]
Then the two solutions are:
x = (7 - 9)/2 = -2/2 = -1 (this is the smaller one)
and
x = (7 + 9)/2 = 16/2 = 8 (this is the larger one)
And we will have the vertex at:
x = -(-7)/2*1 = 7/2 = 3.5
Evaluating h(x) in 3.5 we get:
h(3.5) = (3.5)^2 - 7*(3.5) - 8 = -20.25
Then the vertex is the point:
(3.5, -20.25)
2. Currently, Yamir is twice as old as Pato. In three years, the sum of their ages will be 30. If Pato's current age
is represented by a, which of the following equations could be used to correctly solve for a?
(1) a + 2a + 3 = 30
.(2) a + 2a +6 = 30
(3) (a +3)+2(a +3) = 30
(4) a +2(a +6)= 30
Given:
Yamir is twice as old as Pato.
In three years, the sum of their ages will be 30.
Pato's current age is represented by [tex]a[/tex].
To find:
The equation that could be used to correctly solve for [tex]a[/tex].
Solution:
We know that, Pato's current age is represented by a, then
Yamir's age = [tex]2a[/tex]
After three years,
Pato's age = [tex]a+3[/tex]
Yamir's age = [tex]2a+3[/tex]
In three years, the sum of their ages will be 30.
[tex](a+3)+(2a+3)=30[/tex]
[tex](a+2a)+(3+3)=30[/tex]
[tex]a+2a+6=30[/tex]
Therefore, the correct option is 2.
HELP NOW PLEASE ANSWER COMPLETELY ACCURATE USE PAPER IF NECESSARY AND UPLOAD PHOTO TO RESPONSE I WILL GIVE BRAINLIEST PLEASE HELP
Answer:
a. y=2.50x+5
b. The y-intercept of the equation is y=5, or (0,5).
The 5 represents the "b" of the equation where she spent $5
c. The slope of the equation is 2.5 or 2/5.
the slope represents the "m" of the equation where she spent $2.50 per pound on tomatoes
d. y=mx+b
y=2.50(4)+5
y=10+5
y=$15
Step-by-step explanation:
d. y=mx+b
y=2.50(4)+5
y=10+5
y=$15
the profit a company earns every month depends
Answer:
The profit that a company earns each month depend on the amount of product sold, p, for $855 each and the amount of money spent on rent, utilities, and other expenses, which always totals to $6,780. The CEO earns 15% of the profit.
ncome: p*855
Expenses: 6780
Profit = Income - expenses = 855p - 6780 = 855*250 - 6780 = 213750 - 6780 = 206970
CEO's earn = 15% * 206970 = 0.15*206970 = 31,045.5
Answer: 31,045.5
Step-by-step explanation:
Carlos has six cards in a bag, numbered 2, 2, 3, 6, 8, and 9. What is the probability Carlos will randomly select a 2 or a 9
Answer:
50 percent
Step-by-step explanation:
100 percent divided by 6 (the amount of data) is 16 2/3.
Each number represents 16 2/3 percent.
3 of the numbers are either 2 or 9.
16 2/3x3=50.001
The final answer is a 50% probability.
I think
Emerson swims 1/2 a miles every 1/4 of an hour. How far can she swim in one hour?
(Complex fractions)
Answer:
he swims 1/2 miles in 1/4 hours
multiply both them by 4
we get
2 miles in 1 hour
Amount
Expense
Mortgage
Gasoline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80
About what percent of Davon's monthly budget was spent on groceries?
F
12%
13%
H
896
J
1.18%
Answer:oline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80oline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80
About what percent of Davon's monthly budget w
About what percent of Davon's monthly budget w
Step-by-step explanation:
oline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80
About what percent of Davon's monthly budget w
Answer:
the one i got is 12%
Step-by-step explanation:
but im not sure if its correct
please help with 13, giving brainliest
Answer:
6
Step-by-step explanation:
m《 Q+ m《R +m《S =180 (Angles of a triangle add up to 180 degrees )
8x-17 +19x +4 +5x+1=180
32x-12=180
32x =180+12
32x =192
32X /32=192 /32
x=6
substitute x to angle Q, R and S
mQ=8 (6)-17
=31
mR=19 (6)+4
=118
mS=5 (6)+1
=31
tell whether the angles are adjacent or vertical. Then find the value of x
Step-by-step explanation:
8.Solution:
x+35=90(adjacent)
x=90-35
x=55
9.Solution:
x=128(vertical)
10.Solution:
x+117=180(adjacent)
x=180-117
x=63
11.Solution:
75=4x-25(vertical)
75+25=4x
100/4=x
x=25
12.Solution:
4x+2x=90(adjacent)
6x=90
x=90/6
x=15
13.Solution:
7x+x+20=180(adjacent)
8x=180-20
x=170/8
x=21.25
a car is traveling 22 miles in 1/2 hr.. How much miles in an hour
Answer:
44
Step-by-step explanation:
1/2×2=1
22×2=44
The car is going 44 miles in 1 hour
What’s the answer to this?! ;)))
Answer:
A
Step-by-step explanation:
2pi radians = 2*pi*9 = 18 pi
That's the circumference. Now you want to take pi/6 part of the circumference.
pi / 6 part of the circumference / 2pi is what you are looking for.
(pi / 6 // 2 pi) * 18 pi = 1/12 * 18 pi = 3/2 pi
HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:i would say 1
Step-by-step explanation:
Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If his unpaid balance is $354.15 this month, what is his finance charge?
Answer:
Hi there, $4.04 should be his finance charge.
Step-by-step explanation:
Find the circumference and the area of a circle with radius 5mm.
Write your answers in terms of π, and be sure to include the correct units in your answers.
Answer: 31.4 mm
Step-by-step explanation:
C=2πr
2(3.14)(5)
2(15.7)
31.4
Voltage (V), varies directly with resistance (R) in a circuit. If the voltage is 150 volts when the resistance is 480 ohms, find the voltage when the resistance is 200 ohms.
15. Which line is parallel to the line
y= x +7?
A. x - y=5
B. x+y=-2.
C. y=1
D. x=1
need help with working perimeter and area please
Answer:
Area = 228 m²
Perimeter = 60 m
Step-by-step explanation:
The figure given shows a rectangle that has a cut triangular portion.
✔️Area of the figure = area of rectangle - area of the triangular cut portion
= L*W + ½*bh
Where,
L = 20 m
W = 12 m
b = 20 - (8 + 8) = 4 m
h = 6 m
Plug in the values
Area = 20*12 - ½*4*6
Area = 240 - 12
Area = 228 m²
✔️Perimeter = perimeter of rectangle - base of the triangular cut portion
= 2(L + W) - b
L = 20 m
W = 12 m
b = b = 20 - (8 + 8) = 4 m
Plug in the values
Perimeter = 2(20 + 12) - 4
= 2(32) - 4
= 64 - 4
Perimeter = 60 m
hii please help i’ll give brainliest
Answer:
H
Step-by-step explanation:
the point H is (-3, 2) which fits the requirements
PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH
What 2-dimensional shapes do you see when you look at the Hexagonal Prism? Choose ALL that you see.
Squares
Rectangles
Triangles
Hexagons
Pentagons
Trapezoids
Answer:
All of the above EXCEPT pentagonsStep-by-step explanation:
Well I already explained in the comments and I am pretty sure you already answered the question but for the points :)
Good day!
Convert 54 km/h into metres per second (m/s)
Answer:
1.5m/sec is the answer
Step-by-step explanation:
54×1000m/60×60sec
54000m/3600sec
1.5m/sec
Answer:
15 m/s
Step-by-step explanation:
54 ÷ 3.6 = 15 m/s
HELP ASAPPPPPP( i need it before 5:30)
Answer: I would say that x = 10 degrees
Step-by-step explanation:
The angle has a square, meaning it is a right angle. Right angles are 90 degrees, and you're given 80 degrees + x.
90 - 80 = 10
Hope this helps!
Answer:
10 degrees
Step-by-step explanation:
First off complementary angles require the sum of both adjacent angles to equal 90 degrees. You are already given the degrees of one of the adjacent angles so all you need to do is a geometric proof. 90 = 80 + x and subtract 80 from each side to get 10 = x.
Which value of x is a solution of the inequality?
x−(−3)≥7
x=−5
x=2
x=3.5
x=8
REAL ANSWERS ONLY PLEASE :)
Answer:
Okay so i am pretty sure it would be x=-5
Step-by-step explanation:
Answer:
B) x=8
Step-by-step explanation:
x − (−3) ≥7
Subtracting a negative is like adding
x + (3) ≥7
Subtract 3 from each side
x +3 −3 ≥7-3
x ≥4
X must be greater than or equal to 4
The only value given that is greater than or equal to 4 is 8
Use the distributive property to expand (simplify): 14(2t - 10y)
Answer:
28t-140y
step by step explanation:
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - -
[tex]\textsf{We're asked to expand the expression using the distributive property.}[/tex]
[tex]\textsf{But we need to be familiar with it first. \quad This is what it states :}[/tex]
[tex]\textsf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{Now we simplify. \quad 14(2t-10y)=14*2t-14*10y=28t-140y}[/tex]
[tex]\textsf{\textbf{Answer: 28t-140y}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
if 3 xa 30, then
A 4-3
B. a=1
c a=30
D a=0.
E. a = 10
Answer:
the answer is 10
Step-by-step explanation:
3×A=30
it's like saying your 3 time.3×10=30
A science test had 32 true or false questions. Malik answered 75% of the questions correctly. How many of the questions did he NOT answer correctly?
Answer:
If you had 32 questions and got a grade of 75% then you would have gotten 8 questions wrong and 24 correct anwsers.
combine like terms 23x + 3y -5x
Answer:
18x + 3y
Step-by-step explanation:
23x - 5x combine to 18x.
Then the given expression becomes 18x + 3y.
Answer:
18x+3y
Step-by-step explanation:
Mhanifa please help these are my last ones !
Answer:
#1
x/12 = 2/8x = 12/4x = 3#2
m∠E = 180° - (60° + 53°) = 67° ∠E ≅ ∠H ⇒ ∠D ≅ ∠GΔCDE ~ ΔFGH by AA postulate
#16
a = 3.5 in and k = 2/3, a' = ?a' = ak a' = 3.5*2/3 = 7/2*2/3 = 7/3 = 2 1/3 inCorrect choice is D
can somebody help me with this ty!!
Hasina and her sister Jaqa ride their bikes to school.
Hasina starts first. The equations show the distance
each girl is from home m minutes after Jada starts.
What is the solution of the system of equations? What
does this mean in this situation?
Hasina: d = 300m + 1,500
Jada: d= 300m
The solution to the system of equations is d = 300m, which means that after Jada starts, both Hasina and Jada will be 300m away from home.
The solution to the system of equations is d = 300m. This means that after Jada starts, both Hasina and Jada will be 300m away from home. This is because the equation for Hasina states that she is 300m + 1500m away from home. Since Jada is starting second, she will only be traveling 300m from home. Therefore, the solution of the system of equations is d = 300m.
To solve the system of equations, we can use substitution. First, we can substitute 300m for d in Jada's equation. This gives us 300m = 300m, which is a true statement. We can then substitute this value for d in Hasina's equation, which gives us 300m + 1500m = 300m. To solve for m, we can subtract 1500m from both sides, giving us 0 = -1500m. To isolate m on one side, we can divide both sides by -1500, giving us -1 = m. This means that after Jada starts, both Hasina and Jada are 300m away from home.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ1
Two of the angles in a triangle measure 81° and 86°. What is the measure of the third angle?
Answer:
13°
Step-by-step explanation:
The reason is because the sum of all the angles in a triangle add up to 180°, so to find the last angle you add 81°+86°=167°
Subtract: 180°-167°=13°
Hope this helped!
Stay safe and have a wonderful day/night!
Your friend Bella was here :)