Answer:A
Step-by-step explanation:
I JUST TOOK THE TEST ON EDGE
The possible root of the function are: ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.
What is Rational Root Theorem?In algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's numerator.
We have the function f(x) = 9[tex]x^4[/tex] - 2x² - 3x + 4.
For Polynomial Function
f(x) = p[tex]x^n[/tex] + ...... + q
So, The possible rational roots are calculated using
Roots = ± factors of p / factors of q
= ± factors of 4 / factors of 9
= ± 1, 2, 4 / 1, 3, 9
So, the possible rational roots are ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.
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Y=1/3x+2 Is this a linear equation or nonlinear
Answer:
C
Step-by-step explanation:
i took the test
which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2
Answer:
For a general quadratic equation like:
y = a*x^2 + b*x + c
a is the leading coefficient.
And we define the vertex of this as (h, k)
Where h is:
h = -b/(2*a)
and k is the y-value given when we use x = h.
Now, in this case we have:
f(x) = 5*x^2
We can see that the leading coefficient is 5, then a = 5.
To find the value of h we use:
h = -b/(2*a)
there is no lineal term, thus b = 0, then:
h = -0/(2*5) = -0/10 = 0
and k is given by
f(h) = f(0) = 5*0^2 = 0
then k = 0.
Concluding:
a = 5
h = 0
k = 0
Which of the following equations is of a parabola with a vertex at (0, 6)?
y = ( x + 6) 2
y = ( x - 6) 2
y = x2 + 6
y = x2 - 6
Answer:
y = x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6) , let a = 1 , then
y = (x - 0)² + 6 , that is
y = x² + 6
Jed works for Metal Fabricators, Inc. Which just lost a large contract and has asked employees to take a 12 percent pay cut. If Jed now makes $34,500 per year, what will his yearly pay be after the pay cut?
Answer: [tex]\$30,360[/tex]
Step-by-step explanation:
Given
Jed makes [tex]\$34,500[/tex] per year
After the loss of contract, a paycut of 12% is there
The amount after the paycut is
[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]
22 - 8x = -5x - 14
Find x
Please help this is due today
Solve for x
2x+16 X+16
Answer:
2x(16)+16(16)
32x+256
32x/32=256/32
x=8
JL = x+16
JK+KL = x+16
2x+16+7 = x+16
2x+23 = x+16
2x-x = 16-23
x = 7
Which equation represents the graphed function?
Answer:
y=-2x+3
Step-by-step explanation:
for one, you can see that the y-intercept is at 3, so for y=m*x+b, b is 3
next, you can count to get the slope. it moves 2 units down and one unit to the left, so for slope, which is rise over run, you are -2/1= -2
so y = -2x + 3
through: (4,4), slope
9/4
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
Helpppppppppppppppp
What is the perimeter of the figure shown to the right.
Plss HELP MEE
Answer:
perimeter=a+b+c+d+e+f+g+h+I
x+13+3x+2+x+5+2+8+3x
CLT
x+x+3x+3x+13+2+5+2+8
8x+30
118°
D
B
angle C= ?
can anybody help pls?
Answer:
∡ c = 118°
Step-by-step explanation:
angle c is 118 degree (being vertically opposite angle)
∡ c = 118°
Answer:
118
Step-by-step explanation:
there is a property that i can't remember the name of that is dealing with angles across a flat line.
another way, is that 118+D=180, so D is 62
so that means D + C = 180, where D is 62 so C must be 118
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
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In a community of 9,400 people the number of women exceeds the number of men by 1,500.Find the ratio of men to women in the community
Answer:
Step-by-step explanation:
x +(x+1500) = 9400
2x + 1500 = 9400
2x = 7900
x=3950 (men)
y = 5450 (woman)
5450 :3950
109:79
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
You want to nail your 4 championship plaques onto a wooden
plank. The plaques are each 5 inches wide, and the plank
measures 33 inches in length. If you have 2 inches of space on
both ends of the plank and want to space out your plaques
evenly, how much space should there be between each
plaque?
=============================================================
Explanation:
The overall plank is 33 inches long. Subtract 2 copies of 2 inches off to represent those left and right 2 inches of space at each end.
33 - 2*2 = 33 - 4 = 29
So we have 29 inches to work with.
There are 4 plaques to hang up, and each is 5 inches wide. So that accounts for 4*5 = 20 inches of space just for the plaques themselves. We have 29-20 = 9 inches left for the gaps between plaques.
Since we have 4 plaques, there are 4-1 = 3 gaps between the adjacent plaques. The gap width is 9/3 = 3 inches.
See the diagram below. The values in black are the widths of each championship (5 inches each). The values in red are the gaps either between the plaques or between the plaque and the edge of the plank.
As a check, the values in that diagram should add to 33.
2+5+3+5+3+5+3+5+2 = 33
So the answer is confirmed.
Dave collects model trains. So far he has 23 distinct train cars. How many ways can he put 7 cars together? = Answer 23 PAnswer 7 =23!(23−7)! =23!16! = Answer 23 ⋅ Answer 22 ⋅21⋅20⋅19⋅18⋅ Answer 17 = Answer
Answer:
He can put 7 cars together in 245,157 ways.
Step-by-step explanation:
The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
23 distinct train cars. How many ways can he put 7 cars together?
Combinations of 7 from a set of 23. So
[tex]C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157[/tex]
He can put 7 cars together in 245,157 ways.
helppppppp
Which equation represents the slope-intercept form of the line below? 5 y-intercept = (0,2) slope = HOME O A. y=2x+ 3 o B. y=-x-2 3 O C. y = 2x - 3 O D. y=-3x+2
Answer:
D. y = -3/7 + 2
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = intercept
Assignment - 3. Deductive Reasoning
State a true conclusion.
1) If two planes intersect, their intersection is a line.
2) Plane Rand plane S intersect.
Conclusion:
WRITER
Answer:
the answer is the intersection is a line
The locksmith is 82.9 miles west of the bakery. The pet store is 44.5 miles west of the bakery. The toy store is 38.6 miles east of the bakery. The coffee shop is 71.5 miles east of the bakery. The library is 57.0 miles south of the bakery. The magic shop is 75.7 miles south of the bakery. How far apart are the toy store and the locksmith?
Answer:
82.9+38.6=121.5 miles far away.
Suppose 1757 grams of sugar is 31.69% of 5544 grams of jam. How much jam would there be if there were 2500 grams of sugar?
7889 grams of jam
Step-by-step explanation:
In 5544 grams of jam, 1757 grams of sugar ==> 31.69%
let x be the grams of jam
2500 grams of sugar ==> 31.69%
x grams of jam ==> 100%
[tex]x \times 31.69\% = 2500 \\ x = 2500 \div 31.69\% \\ x = 7888.92 \: grams \\ x = 7889 \: grams \: (nearest \: whole \: number)[/tex]
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
what’s 818*426 (multiplication)
Answer:
348468
Step-by-step explanation:
Answer:
348,468
Step-by-step explanation:
Hope it's help you !!!!:)
Please help I’ll give brainliest
Answer:
6 ^ 6
Step-by-step explanation:
hope this helps!
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {6}^{2} \times {6}^{3} [/tex]
➺[tex] \: {6}^{2 + 3} [/tex]
➺[tex] \: {6}^{5} [/tex]
Note:-[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]
expression of three power of five rational number with a negative exponent is?
answer with step by step explanation
Answer:
[tex]\frac{1}{243}\\[/tex]
Step-by-step explanation:
The expression of three power of five rational number with a negative exponent is;
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Answer:
f(g(4)) = 213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 8x + 5
g(x) = 7x - 2
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 7(4) - 2Multiply: g(4) = 28 - 2Subtract: g(4) = 26Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5Multiply: f(g(4)) = 208 + 5Add: f(g(4)) = 213[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]
Here,
f(x) = 8x + 5 and g(x) = 7x - 2,
we have to find the f(g(4))
1st we have to solve the g(x)
g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26Now substitute the functional value,
f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213.°. The value of f(g(4)) is 213.
Brainly to whomever solves for x and y. Will report scams and the unhelpful "what" answers!
Answer:
[tex]x=\frac{125}{6},\\y=11[/tex]
Step-by-step explanation:
The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:
[tex]7x-15+5x-5y=180[/tex]
The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.
Therefore, we have the following system of equations:
[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]
Combine like terms:
[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]
Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]
Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:
[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]
Verify that these two solutions work:
[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]
can you help answer these:
1) (-3 ) * ( + 3 ) = ___
2) ( - 3) * ( - 3)= ______
3) ( + 20 ) ( + 5) = ____
4) ( + 21 ) ( - 3 ) )= ___
5) (-2) * (+3) * (- 4) = ___
Answer:
1) -3 x 3=-9
2) -3x-3=9
3)20x5=100
4) 21x-3=-63
5) -2x3x-4=24
note: negative x positive= negative
negative x negative=positive
positive x positive= positive
Step-by-step explanation:
hope this is helpful
Step-by-step explanation:
(-3)*(1+3) = -9 (-3)*(-3) = 9(+20)(+5) =100(+21)(-3) = -63(-2)*(+3)*(-4) = 24
-6d - 4e + 4 + 4d + 6e - 6
Answer:
-2d + 2e - 2
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:
4d - 6d + 6e - 4e + 4 - 6
(4d - 6d) = -2d
(6e - 4e) = 2e
(4 - 6) = -2
-2d + 2e - 2 is your answer.
~
find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate π.
Answer:
19.42 ft.
Step-by-step explanation:
The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.
The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.
The outer perimeter is 19.42 ft.
What is perimeter?Perimeter is the distance around the edge of a shape.
Given:
radius= 3 ft
height= 4 ft
slant height= 5 ft
diameter of the semicircle is 6 feet.
So,
= 3.14 x 6 = 18.84.
Since it is a semicircle,
=18.84/2
=9.42 feet
Now, the perimeter.
= 5 + 5 +9.42
= 19.42 ft.
Hence, the perimeter is 19.42 feet.
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can someone please help for brainlest