Answer: I Think It Is Greater Than Or Equal To -9
Step-by-step explanation: The given function is:
f(x)x^2+2x-8
We complete the square to write this function in the form:
f(x)=a(x-h)^2+k
We add and subtract the square of half the coefficient of x.
f(x)=x^2+2x+1^2-1^2-8
f(x)=(x=1)^2-9
The vertex of this function is (h,k) which is (-1,-9)
The equation of axis of symmetry is x=h
But h=-1, hence the axis of symmetry isx=-1
To find the x-intercepts, we put f(x)=0
(x+1)^2-9=0
(x+1)^2=9
x+1=the square root of 9
x=-4, 2
The x-intercepts are:(
-4,0) and (2,0)
The given function is a polynomial function, the domain is all real numbers
The function has a minimum value of y=-9.
Therefore the range is y|y is greater that or less than -9
Raheem tosses a fair coin 20 times, and it lands on heads 12 times. If Raheem tosses the coin a 21 st time, what is the probability it will land on heads?.
Adeline invests $5,250 in an account that is compounded annually and
pays an interest rate of 3.4% each year. Use this information to fill in the blanks below. *
The situation is an exponential function of exponential growth with a factor of 1.034 and the initial amount of $5,250.
What in a compound interest?
Compound interest is when both the amount invested and the interest already accrued earn an interest. This means that when there is a compound interest, the amount invested increases by a certain amount.
The equation that can be used to represent compound interest is:
FV = PV(1 + r)^n
Where
PV = amount invested (1 + r) = exponential factorn = number of yearsTo learn more about compound interest, please check: https://brainly.com/question/26367706
How old am I if 300 reduced by 4 times my age is 92?
Which function is a quadratic function? p(x) = 2x(x2 6) 1 m(x) = –4(x 3) – 2 t(x) = –8x2(x2 – 6) 1 h(x) = 3x(x – 2) – 4.
The function represent the quadratic function is h(x) = 3x(x – 2) – 4, the correct option is D.
What is Quadratic funtion?
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.
The function which represnt a quadratic function is;
[tex]\rm h(x) = 3x(x - 2) - 4\\\\ h(x)=3x\times x - 3x \times 2-4\\\\ h(x)=3x^2-6x-4[/tex]
The highest degree of the function is 2 so the function is the quadraic function.
Hence, the function represent the quadratic function is h(x) = 3x(x – 2) – 4.
To know more about quadratic function click the link given below.
https://brainly.com/question/9777225
I need help with this please
Here, we will apply the concept of Vertically Opposite angle property and central angle property ;
So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°
And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;
[tex]{:\implies \quad \sf c+c+20^{\circ}+20^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c+40^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=360^{\circ}-40^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=320^{\circ}}[/tex]
[tex]{:\implies \quad \sf c=\dfrac{320^{\circ}}{2}=160^{\circ}}[/tex]
Hence, we can conclude that ;
[tex]{\bf{c=160^{\circ}}}[/tex] [tex]{\bf{b=20^{\circ}}}[/tex]A man paid a debt of $6789 in three payments. The second time he paid $3 more than he did the first time and the third payment was twice as much as the second payment. What was the amount of each payment?
Answer:
$6789.00, $20,367.00, $40,734.00
Step-by-step explanation:
debt: $6,789.00
multiply by $3 which equals $20,367.00
then take the value of $20,367.00 and multiply again by 2 which equals 40,734.00
that's my step by step explanation
hope this helps.
helppppppp reallyyyyyyyyyyy
Answer:
P=58in.²
Step-by-step explanation:
do you really need explanation? I don't know how to explain it to you I just calculated it gradually...
275 miles on 14 gallons
pls hurry
Answer:
1 gallon per 19.64mi
Step-by-step explanation:
275/14 =19.6428571429
Answer:
19.65 miles per gallon
Step-by-step explanation:
That is your answer because you have to divide the amount of gallons by miles.
275/14 = 19.65 miles per gallon
I hope it helps! Have a great day!
bren~!
Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day
working and already has $12 saved, which equation shows how many
days Marco must work before he can afford the shoes?
A. 3d = 57
B. 3d – 12d = 57
C. 3d = 45
D. 3d – 12 = 57
Answer:
3x+12=57 x= how many days
Step-by-step explanation:
Answer:
C. 3d=45
Step-by-step explanation:
subtract 57-12= 45 n if u multiply 3x15=45 so 3(15)=45
What is the answer for this question I need help
Answer: Angle 1= 32 degrees
Angle 2=90 degrees
Angle 3=58 degrees
Angle 4=32 degrees
What are the angles for these?
Answer:
1) 60
2) 80
3) 90
step by step explanation
so sorry
trinity solved the equation 2(x-3)+7-3x=11.
Answer:
[tex]x=-10[/tex]
Step-by-step explanation:
[tex]2(x-3)+7-3x=11[/tex]
[tex]2\left(x-3\right)+7-3x-7=11-7[/tex]
[tex]2\left(x-3\right)-3x=4[/tex]
[tex]-x-6=4[/tex]
[tex]-x-6+6=4+6[/tex]
[tex]-x=10[/tex]
[tex]\cfrac{-x}{-1}=\cfrac{10}{-1}[/tex]
[tex]x=-10[/tex]
~
Solve the system of equations using substitution.
Solution: _______?
Y=8x-2
3x+y=42
Answer:
(4,30)
Step-by-step explanation:
3x+y=42
y=8x-2
3x+8x-2=42
11x-2=42
+2 +2
11x=44
÷11 +11
x=4
Write an equation of the line in slope- intercept form
Answer:
[tex]a)\ y=-\frac{1}{3}x[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-0}{-3-0} \\\\m=\frac{1}{-3} \\\\m=-\frac{1}{3}[/tex]
[tex]y=mx+b\\y=-\frac{1}{3}x +b[/tex]
(0, 0)
[tex]y=-\frac{1}{3}x +b\\0=-\frac{1}{3}(0) +b\\0=0+b\\0=b[/tex]
[tex]y=-\frac{1}{3}x +0\\y=-\frac{1}{3}x[/tex]
Check your answer:
[tex]y=-\frac{1}{3}x \\1=-\frac{1}{3}(-3)\\1=-1[/tex]
This statement is true
Hope this helps!
Calculate the volume of a cylinder with height 18cm and diameter 5cm. Give your answer rounded to 3sf.
The volume of a cuboid is 308cm3. The length is 11cm and the width is 70mm. Work out the height of the cuboid in cm.
Answer:
40cm
Step-by-step explanation:
Convert mm to cm
Create equation
11cm·0.7mm·Lmm=308cm³
solve for L
7.7L=308
L=40
Complete the table.
2
6
12
18
24
30
35
40
48
50
62
i did the test
bill can mow a lawn in 40min and jhon can mow for 60min.how long will it take to mow together
24 minutes.
Let me explain.
The lawn can be any size, but for the purpose of simplicity, let's say it's 240 square meters.
Peter mows 6 square meters per minute if he mows 240 square meters in 40 minutes.
John mows 4 square metres each minute if he mows 240 square metres in 60 minutes.
They'll mow 10 square meters per minute if they work together.
As a result, mowing the entire lawn will take them 24 minutes.
(Note that the location is irrelevant as long as we know how long each man takes to complete the task separately.) The answer would be the same if the field was 1 million hectares in size.)
I hope this helps.
Factor perfect square binomial
9x^2+ 24x +16
Answer:
(3x + 4)(3x + 4)
Step-by-step explanation:
[tex]9x^2+ 24x +16 \\ \\ = 9x^2+ 12x + 12x +16 \\ \\ = 3x(3x + 4) + 4(3x + 4) \\ \\ = (3x + 4)(3x + 4)[/tex]
You travel between these two mile markers and then find your average speed in miles per hour.
Select the three equations that represent this situation.
2.5 hours=150 milesspeed
150 miles=2.5 hours×speed
speed=150 miles2.5 hours
speed150 miles=2.5 hours
Answer:
150 miles = 2.5 hours x speed2.5 hours =150 miles/speedspeed = 150 miles/2.5 hours
Hope this helps :)
Find the total area in the picture. Round to the nearest tenths place.
will recommend to keep in touch with picture as name of sides are based on it!.
It may not get messy so i will divide whole answer into small parts.
Now Let's move to solution :)
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 1}}[/tex]
In this part we will just focus on Semicircle with diameter 22 ft.
Given :-
Diameter = 22 ft[tex] \\ [/tex]
To find:-
Area of semicircle[tex] \\ [/tex]
So first of all let's convert diameter into radius.
we know:-
[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]
So:-
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{22}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 11}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 11}{\cancel2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{11}{1} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = 11[/tex]
[tex] \\ \\ [/tex]
Now let's find area of semicircle!
We know:-
[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]
[tex] \\ [/tex]
so:-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\pi {r}^{2} }{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{22 \times {11}^{2} }{7 \times 2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\cancel{22} \times {11}^{\cancel2} }{7 \times \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{11\times {11}^{\cancel2} }{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{1331}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area~of~semicircle _1= 190.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 2}}[/tex]
So in this part we will find area of other semicircle.
Now as u can see BC isn't given , but AC and AB are given.
So let's find BC:-
AC = AB + BCBC = AC - ABBC = 30 - 22BC = 8 ft[tex] \\ [/tex]
Now we got the diameter, so let's change it into radius.
we know:-
[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]
[tex] \\ [/tex]
so :-
[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]
[tex] \\[/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{8}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 4}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 4}{\cancel2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = 4[/tex]
[tex] \\ [/tex]
Now let's find area of semicircle!
We know:-
[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\pi {r}^{2} }{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{22 \times {4}^{2} }{7 \times 2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\cancel{22} \times {4}^{\cancel2} }{7 \times \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times {4}^{2} }{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times 16}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{176}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area~of~semicircle _2= 25.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 3}}[/tex]
Now Finally in this part we'll add both the areas of these semicircles.
Let :-
Area of semicircle with diameter AB be A₁Area of semicircle with diameter BC be A₂[tex] \\ \\ [/tex]
[tex] \sf: \implies Area~of~figure=A_1+A_2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf: \implies Area~of~figure=190.14+25.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \bf: \implies Area~of~figure=215.28 {ft}^{2} \\ [/tex]
[tex] \\ \\ [/tex]
please help
I put a photo
Answer:
[tex]\sf slope: \dfrac{5}{4}[/tex]
[tex]\sf y-intercept: 0[/tex]
explanation:
comparing with the formula: y = mx + b
Here the input equation: y = 5/4 x + 0
[tex]\hookrightarrow[/tex] m = 5/4 and b = 0
2500 divided by 0.05?
How do you think you could find the volume of a cylinder
Answer:
to find the volume of a cylinder formulae is pi r² x Height
Step-by-step explanation:
because to find the volume of any object we have to multiply the area of the base and the height
now as the base of the cylinder is circle we have to fulfill the area of circle with the height of the cylinder
hence
volume
of
the
cylinder = area of circle x height
= pi r² x Height
5
2
Which function is linear? Select all that apply.
А. у = = 4x
+ 2
B.y= 62° + 8
cy= 2x + 8
D.
y = x +1
Answer:
a,c,d
Step-by-step explanation:
2. What is the total surface area of the figure below 5.2 cm 6 cm 9 cm 6 cm 6 cm
Answer:
193.2 cm²
Step-by-step explanation:
Area = 5.2 x 6 + 3 x 6 x 9
= 31.2 + 162
= 193.2 cm²
can some one tell me the answer pls. I will mark you brainliest
Answer:
the correct answer is 65 degrees
Step-by-step explanation:
The angle is 65 degrees
Answer:
it is 75°
Step-by-step explanation:
so do you see the red line? it is in between 70° and 80° which means it's 75°
What is the equation of a line of a line passing through (-3,7) and having a slope of - 1/5?
Answer:
y = -1/5x + 6.4
Step-by-step explanation:
Use the point-slope formula.
y-y₁ = m(x -x₁)
so...
y-7 = -1/5(x - (-3))
y = -1/5x+ 32/5
and you need you can change 32/5 to 6.4
Hope this helps!
If the sum of the number and five is tripled, the result is one less than twice the number. Find the number.
Answer:
see below
Step-by-step explanation:
5 + y x 3 = 2y - 1
Explain How you get -8 whe solving -5+-3
Answer:
-5+(-3)
=-5-3
=-8
Step-by-step explanation:In a problem like this you have to write -3 in parentheses.
Since the + sign is outside the parentheses here, the -3 and + sign are multiplied.
+ saha- multiplication yields -sign.
So there's a -3 coming.
Then -5-3.
Since the sign of this is the same, the two numbers are added. In both - the mark is applied to the answer because there is a mark.