Answer:
(2x + 1)(x + 4)
Step-by-step explanation:
2x² + 9x + 4 cannot be factored normally - we must use the grouping technique (a > 1).
First, check for a GCF. Because there is not a GCF within this (factors of 9 are 1 and 3 - taking a 1 out is pointless), we will instead break the equation into two factors.
2x² will be apart of the first factor. You want to break the 9x into factors that will evenly break down with the 2x^2, so 3x will not work.
Your grouping factors should then be (2x^2 + 8x)(x + 4).
Then, take out the GCFs of the factors.
2x can come out of (2x^2 + 8x), so your new factor is 2x(x + 4). Your second factor set has no GCF, so you take out a 1 and get 1(x+4). In order to verify you did this correctly, the terms having the GCF distributed cannot be different in anyway.
Your factors are now (2x + 1)(x + 4) take the two GCFs and make them a factor set, then the second factor is the common factor.
Answer:
Answer is the fourth option
Step-by-step explanation:
Find the value of the expression x/y for the given values of x and y. Write your answer in the simplest form.x-5/3,y= -1/7
Answer:
X/Y=-5/3/-17.
-5/3×-1/7=-35/3.
[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
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
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.
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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
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 = 75If 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
A new youth center is being built in erie . The perimeter of the rectangular playing field is 296 yards. The length of the field is 2 yards less than double the width. What are the dimensions of the playing field?
Answer:
The dimensions are 50 yards by 98 yards
Step-by-step explanation:
If the width is w, then the length is 2w - 2. Perimeter can be expressed by 2 * (length + width), therefore:
2 * (2w - 2 + w) = 296
2 * (3w - 2) = 296
3w - 2 = 148
3w = 150
w = 50 so 2w - 2 = 2 * 50 - 2 = 98
Answer:
[tex]\Large \boxed{\mathrm{98 \ yards \cdot 50 \ yards}}[/tex]
Step-by-step explanation:
Let the length be l.
Let the width be w.
[tex]l = 2w - 2[/tex]
The perimeter of the rectangle is 296 yards.
[tex]P = 2l + 2w[/tex]
Plug in the value for l and P.
[tex]296 = 2(2w-2) + 2w[/tex]
Evaluate and solve for w.
[tex]296 = 4w - 4 + 2w \\\\296 = 6w - 4 \\\\300 = 6w \\\\50 = w[/tex]
The width is 50 yards.
Let w = 50 for l.
Evaluate and solve for l.
[tex]l = 2(50) - 2 \\ \\ l = 100 - 2 \\\\l = 98[/tex]
The length is 98 yards.
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
Find the common ratio of the geometric sequence: 8, -2, 1/2, -1/8
Answer:
-1/4
Step-by-step explanation:
You just need to see what number is being divided from each term
(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 :)
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.
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)
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).
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:
Given: g(x) = x-4 and
h(x) = 2x-8.
What are the restrictions on the domain of gh?
Answer:
Step-by-step explanation:
6
What is 1/2 of a right angle called
Answer:
acute angle
Step-by-step explanation:
acute = less than 90 degrees
right = exactly 90 degrees
obtuse = more than 90 degrees
90 divided by 2 = 45
45 is less than 90 so acute angle
1/2 of a right angle is called an acute angle. The correct answer would be an option (D).
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
An angle with a measure of 1/2(90°) : 45°
As per the given question, the required solution would be as:
Straight: An angle with a measure of exactly 180° is considered straight. 45° is not a straight angle.
Obtuse: An angle with a measure greater than 90° and less than 180° is considered obtuse. 45° is not an obtuse angle.
Acute: An angle with a measure less than 90° is considered acute. 45° is an acute angle.
Thus, 1/2 of a right angle is called an acute angle.
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the expression 7x + 300 represents the amount of interest that is being paid for a new tv in dollars, where x is months. what does 7x represent, and is it a term, factor, or coefficient
Answer:
7x means that you are paying for 7 months. and 7x is a term.
Step-by-step explanation:
Rules for whether its a term, coefficient, or factor:
a TERM has a variable. 7x is a term.
a COEFFICIENT is the number part of a term. in 7x, the coefficient is 7.
a FACTOR is something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression.
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
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
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
The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.
Answer:
Step-by-step explanation:
Pythagorean theorem: In a right angle triangle, the square of hypotenuse is equal to the sum of squares of other two sides
BC² + AB² = AC²
5² + AB² = 13²
25 + AB² = 169
AB² = 169 - 25
AB² = 144
AB = √144 = √12*12
AB = 12cm
3y when y=45 ........
Answer:
[tex]135[/tex]
Step-by-step explanation:
[tex]3y = 3 \times 45 = 135[/tex]
Hope this helps ;) ❤❤❤
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
I need answers 32-39 ASAP, thanks!
Answer:
-7 Negative Seven
Step-by-step explanation:
32-39= -7
How 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.
0.1m + 8 - 12n when 30 and n = 1/4
0.1m + 8 - 12n when 30 and n = 1/4
= 3+8-3
= 3+8-3= 8
8
Benjamin works at a printing company. He
is making T-shirts for a high school volleyball
team. The press he runs can imprint 3 T-shirts
per minute with the school's mascot.
Answer:
The independent quantity is time and the dependent quantity is T-shirt printed
Step-by-step explanation:
We are asked to determine the dependent and independent quantity.
An independent quantity is a quantity that is not dependent on other quantities while a dependent quantity is a quantity that depends on other quantity. In the the question, the number of T-shirts being made depends on the amount of time the machine works making 3 T shirts per minute, this means that the number of T-shirts made is dependent on the time.
The independent quantity is time and the dependent quantity is T-shirt