Answer:
2 real roots
Step-by-step explanation:
y = 4x2 - 16
Set equal to zero
0 = 4x2 - 16
Add 16 to each side
16 = 4x^2
Divide by 4
16/4 = 4x^2/4
4 = x^2
Take the square root of each side
sqrt(4) = sqrt(x^2)
±2 =x
There are 2 real roots
72.4 as a fraction PLEASEEEE
Answer:181/250
Step-by-step explanation:
What is the range in mathss
Answer:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Step-by-step explanation:
I hope it help you
Answer:
Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range
Step-by-step explanation:
What key graphical feature are obtained from a polynomial function?
Answer:
The key graphical features obtained from a polynomial function are: the zeros, the turning points and the end behaviour. A "zero" of a polynomial function is an input value that produces an output of zero (0).
A linear function is defined by the equation 3x - 2y = 6
what is the x and y intercept
Answer:
X intercept = (2,0)
Y intercept = (0,-3)
Step-by-step explanation:
To find x intercept make y into 0
3(x) - 2(0) =6
3x = 6
x = 2
X intercept = (2,0)
Y intercept do the same
Y intercept make x into 0
3(0) - 2(y) =6
-2y = 6
y = -3
Y intercept = (0,-3)
Answer:
x -intercept is at (2, 0).
y -intercept is at (0, -3).
Step-by-step explanation:
x intercept is found when y = 0:
3x - 2(0) = 6
3x = 6
x = 2.
x intercept is found when x = 0:
3(0) - 2y = 6
-2y = 6
y = -3.
What type of graph would you use to compare the number of books at each price? In two or more sentences, explain your choice.
bar graph
line graph
scatter plot
histogram
box-and-whisker plot
Answer:
I would use a bar graph so the bottom of the graph could be the number of books, and the left could be the price. the higher the bar is, the higher the price. It is easy to compare heights of the bars from just looking at the graph.
Answer:
Does anyone know if this is correct please help
Step-by-step explanation:
You purchase a $1,500 television. You have to pay 6% sales tax. How much will the tax be on your new television?
Answer:
90 dollars. The total will be $1,590.00.
Step-by-step explanation:
6% of 1500 is 90
We start by converting 6% to a fraction :
6% = 3/50
Then we have
6% of 1500 = 3/50 x 1500 = 3/50 x 1500/1 = 4500/50
Notice that 1500 was rewritten as the fraction 1500/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.
In order to find the simplest form of the fraction 4500/50 we cancel out the greatest common divisor of 4500 and 50, which is 50 :
4500/50=90/1
So the final answer is
6% of 1500=90
If h hot dogs cost d dollars, what is the cost, in cents, of j hot dogs?
Answer:
jd/h dollars.
Step-by-step explanation:
h hot dogs cost d dollars , therefore:
1 hot dog costs d/h dollars
- and j hot dogs cost j * d/h dollars.
Answer:
100dj/h cents.
Step-by-step explanation:
If h hot dogs is d dollars, then 1 hot dog should be:
d/h
To find the cost of j hot dogs:
d/h × j = dj/h dollars
To turn dj/h dollars into cents:
1 dollar = 100 cents
dj/h dollars = ?
dj/h × 100
= 100dj/h cents
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
the sum of two numbers multiplied by 7
Answer:
7x+7y=
Step-by-step explanation:
(x+y)7
used 7 to open the bracket.
7x+7y
In figure, a transversal PQ intersects two parallel line AB and CD at L and M respectively. If <1 95 = c, then <2 = ..........?
Answer:
We know that when a line is intersected by a transversal then
Corresponding angles are equal
Alternate interior angles are equal
Vertically opposite angles are equal
and also Sum of all the angles in a straight line is 180
o
Given,
∠CMQ=60
o
=>∠LMD=60
o
[ ∵ vertically opposite angles are equal]
=>∠QMD=180−60
o
[ ∵sum of angles in a straight line is 180
o
]
∴ ∠QMD=120
o
=>∠CML=120
o
[ ∵ vertically opposite angles are equal]
=>∠MLB=120
o
[ ∵ Alternate interior angles are equal]
=>∠LMD=MLA=60
o
[ ∵ Alternate interior angles are equal]
∴ ∠MLA=PLB=60
o
[ ∵ vertically opposite angles are equal]
=>∠MLB=∠ALP=120
o
[ ∵ vertically opposite angles are equal]
∴ ∠CMQ=60
o
, ∠QMD=120
o
, ∠CML=120
o
, ∠LMD=60
o
,
∠MLA=60
o
, ∠MLB=120
o
, ∠ALP=120
o
and ∠PLB=60
o
.
Step-by-step explanation:
please mark me as brainliest
2
mº + 7m-6
Evaluate the expression when m=-4
Step-by-step explanation:
m² + 7m - 6
(-4)² + 7(-4) - 6
16 - 28 - 6
- 18
If sin²∅ + sin∅ = 1 , then what is the value of sin²∅ + sin⁴∅.
Answer:
Step-by-step explanation:
Given sin²∅ + sin∅ = 1, we are to find the value of sin²∅ + sin⁴∅. ... 2
From sin²∅ + sin∅. = 1; sin²∅ = 1 - sin∅. ... 3
Substitute equation 3 into 1
sin²∅ + sin⁴∅
= sin²∅ + (sin²∅)²
= (1 - sin∅)+( 1 - sin∅)²
open the parenthesis
= 1 - sin∅+ (1-2sin∅+ sin²∅)
= 1 - sin∅+ 1-2sin∅+ sin²∅
= 1+1-sin∅-2sin∅+sin²∅
= 2 - 3sin∅+sin²∅
Since sin²∅ = 1 - sin∅, the resulting equation becomes;
= 2 - 3sin∅+(1 - sin∅)
= 2 - 3sin∅+1-sin∅
= 3-4sin∅
Answer:
6/10
Step-by-step explanation:
The value of Sin(A) is 6/10
Please help!! Use the imaginary number I to rewrite the equation.
Answer:
poooooooooooooooop mark me as brainliest and thank me and rate me 5 because im white
Step-by-step explanation:
if AB ll CD , EF ll BC, angle bac = 65 and angle dhf = 35 find angle agh
Answer: 100
Step-by-step explanation:
You know that AB is || to CD, angle BAC ≅ ACD (this is the theorem where a line connecting the diagnose of two parallel line, the alternative interior angles are equal/ congruent)
You know that EF is || to BC, angle DHF ≅ GHC (these two are vertically opposite angle which are equal/ this is a theorem)
-------------------------------------------------------------------------
we now know the angles in ΔGHC where angle GHC=35, angle GCH=65, and angle CGH=80 (subtract other angles from 180)
angle AGH is supplementary w=angle with CGH, which means we subtract 80 from 180, we get 100 will be the angle of AGH
Pls help, I cannot do this and it is due 8-28-20
Answer:
20. J, 21. B
Step-by-step explanation:
20. P = 15 (2) + 8 (2)
P = 36 ft.
21. 15 - 6 = 9 ft.
Answer:
[tex]\Large \boxed{\mathrm{20. \ 46 \ feet}} \\ \\ \\ \Large \boxed{\mathrm{21. \ 9 \ feet}}[/tex]
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides.
[tex]\Rightarrow 15+8+15+8[/tex]
[tex]\Rightarrow 46[/tex]
The distance between the window and the foot of the bed is:
length of the room - length of the bed
[tex]\Rightarrow 15 - 6[/tex]
[tex]\Rightarrow 9[/tex]
[tex] \frac{1}{k} - \frac{1}{4} = 5[/tex]
solve the above by using change of subject
Answer:
4/21
Step-by-step explanation:
Given:
1/k - 1/4 = 5Subject is k, so the following steps are to solve it for k:
1/k = 5+ 1/4 ⇒ adding 1/4 to both sides1/k = 21/4 ⇒ simplifying the fraction on right sidek = 4/21 ⇒ inverting both sides to get answerAnswer is 4/21
what is the value of 3m- 2, if m = 7.
Answer:
m=3
Step-by-step explanation:
3m-2=7
3(3)-2=7
9-2=7
The Value of the equation is 19.
What is a linear Equation in one variable?A linear equation is a type of equation in which every variable's degree is exactly one. In one-variable linear equations, there is only one possible solution to the equation and there is only one variable. It appears to be a straight line, either horizontally or vertically, when it is drawn on a graph.
Given equation 3m - 2
and m = 7
substitute the value of m in the equation,
3 x 7 - 2
21 - 2 = 19
Hence the value is 19.
Learn more about linear Equation in one variable;
https://brainly.com/question/17139602
#SPJ2
using the Pythagoras rule. A rectangular hockey field is 50m long and 35m wide calculate the length of it's diagonal
Answer:
[tex]\huge\boxed{The\ length\ of\ Diagonal = 61 \ m}[/tex]
Step-by-step explanation:
Length = 50 m
Width = 35 m
Using Pythagorean Theorem:
[tex]c^2 = a^2 + b^2[/tex]
Where c = diagonal , a = length (50 m) and b = width (35 m)
=> [tex]c^2 = 50^2+35^2[/tex]
=> [tex]c^2 = 2500 + 1225[/tex]
=> [tex]c^2 = 3725[/tex]
Taking sqrt on both sides
=> c = 61 m
The length of Diagonal = 61 m.
Step-by-step explanation:
a squared +b squared= c squared
where c is the hypotenuse
35^2+50^2=c^2
1225+2500=c^2
3725=c^2
c^2=61.0328
please help me on this
Answer:
(2, 5)
Step-by-step explanation:
A 90° CCW transformation is ...
(x, y) ⇒ (-y, x)
For A(5, -2), the image point is A'(2, 5).
_____
In your mind, draw a line segment from the origin to point A. You will see that is slope is (rise)/(run) = -2/5.
When you rotate that segment 90° CCW about the origin, it will extend into the first quadrant. The rotated segment is perpendicular to the one you started with, so its slope is ...
-1/(-2/5) = 5/2
That is, it will have a rise of 5 for a run of 2. The point A' will have a x-coordinate of 2 (the run), and a y-coordinate of 5 (the rise).
A'(2, 5)
As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change of 100m). Which of the following expressions will calculate the angle between the path and horizontal?
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = [tex]\frac{2}{100}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{2}{100})[/tex]
Option (A) will be the answer.
I need answers 32-39 ASAP, thanks!
Answer:
-7 Negative Seven
Step-by-step explanation:
32-39= -7
3y when y=45 ........
Answer:
[tex]135[/tex]
Step-by-step explanation:
[tex]3y = 3 \times 45 = 135[/tex]
Hope this helps ;) ❤❤❤
Find the smallest number that is exactly divisible by 5,15
and 25.
Step-by-step explanation:
Find the LCM
5, 15, 25
Factorize of the above numbers :
Factorize of the above numbers : 5 = 5
Factorize of the above numbers : 5 = 5 15 = 3 • 5
Factorize of the above numbers : 5 = 5 15 = 3 • 5 25 = 5²
LCM = 3 • 5² = 75How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over?
Answer:
Bruh the answer is 5.
Step-by-step explanation:
2 groups of 2, 1 left over. It's simple.
a) A number became 95 when reduced by 5%. What is the number?
Answer:
100
Step-by-step explanation:
5% of 100 is 95 so it becomes 95 when it is reduced by 5%
Answer:
0.9
Step-by-step explanation:
the answer is 95-5/100
=0.9 so the answer is 0.9
I hope this was helpful
Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of 450045004500 bacteria per square centimeter and Orion reports a density of 505050 bacteria per square millimeter.
Answer:
Orion reports a higher density than Guang.
Step-by-step explanation:
Khan said it was right.
Answer: Orion or number 2
Step-by-step explanation:
khan is always correct
15 points :0) Thanks for the help (you'll get brainlisest)
Answer:
See below
Step-by-step explanation:
( a ) The value 1200 in this content represents the starting value, or the number of bacteria that was present in the beginning.
( b ) 1.8 represents the growth factor, or by how much more the bacteria increases, in multiples of the quantity.
( c ) As you can tell 1000 has a similar function as 1200, it models the number of bacteria present in the beginning. The difference between the studies is that the second study is present with a starting value of 1000 yet a similar growth factor, and hence will always have a smaller number of bacteria after t hours.
Find the area the sector. A. 5π/3 mi² B. 9π mi² C. 34π/3 mi² D. 16π mi²
Work Shown:
x = central angle = 255 degrees
r = radius = 4
A = area of sector
A = (x/360)*pi*r^2 ... see note below
A = (255/360)*pi*4^2
A = 34pi/3
note: the formula only works if the central angle x is in degrees. If x is in radians, then use the formula A = (x/2)*r^2
I'M GIVING 100 POINTS FOR THIS What is the ratio of a surface area to volume of a sphere with the following measurements? Surface Area = 300m2 Volume = 500m3 A. 500m -1 B. 0.6m -1 C. 300m-1 D. 1.7m-1
Answer:
B
Step-by-step explanation:
SA/V = 300m^2/500m^3 -------- m^2 cancel out and so d othe 100
we get 3/(5m)
Sooo, I guess that's equal to 3/5 1/m and 1/m is m^-1 so we have (B)
Answer: 500m^-1
Step-by-step explanation:
APEX
(b) String P is 3.8 m long. The length of String Q is 135% of the length of String P and
95% of the length of String R. Find the length of String R.
Answer:
Hey there!
String P is 3.8 m long.
String Q is 3.8(1.35), or 5.13 m long.
String R is 3.8(0.95), or 3.61 m long.
Let me know if this helps :)
Sec105
Cot150
Tan150
Sin135
Cos135
Cosec105
Answer:
Sec 105= -√6-√2
Cot 150= -√3
Tan 150= -√3/3
Sin 135= √2/2
Cos 135= -√2/2
Cosec 105= √6-√2