Answer:
B
Step-by-step explanation:
Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).
Answer:
g(1) = 0
There is a remainder of 10 so you can automatically cross out 3 and 4.
When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
The given equation is:
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0
Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]
Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
Learn more here: https://brainly.com/question/24437791
To begin a basketball game, a referee msut toss the ball vertically into the air. This process can be modeled by the equation h(t) = -16t^2+22t+6, where h represents the ball's height (in feet) after t seconds. Determine the time interval (in seconds) in which the height of the basketball is 8 feet. Round your answer to the nearest thousandth of a second
Answer:
1.277s and 0.098s
Step-by-step explanation:
Given the height of the ball modelled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s
What two integers are between the square root of 38
Answer: 38 is not a perfect square.
square root of 38 is 6.164
Step-by-step explanation:
it is between 6 and 7
Answer:
6 and 7
Step-by-step explanation:
Choose the closest perfect squares either side of 38, that is
36 < 38 < 49 , then
[tex]\sqrt{36}[/tex] < [tex]\sqrt{38}[/tex] < [tex]\sqrt{49}[/tex] , that is
6 < [tex]\sqrt{38}[/tex] < 7
Factoriza la siguiente expresión 25
x2−4
Answer:
english pls
Step-by-step explanation:
rewrite the equation in slope intercept form : y - 3 = 4(x+2)
Answer: y=4x+11
Step-by-step explanation:
I NEED THE ANSWER NOW
When making pasta dishes, 10 pounds of pasta makes 60 meals. How many pounds of pasta are needed to make 750 meals?
what is simplified expression for the expression below? 4(x+8)+5(x-3)
A) 9x+5
B) 9x+11
C)9x+17
D) 9x+47
4(x+8)+5(x-3)
4x+32+5x-15
9x+17
A point is rotated 270° about the origin. The image of the point is (-11,7). What are the coordinates of the preimage?
Choose the correct answer below.
O A. (11)
B. (7. - 11)
O C. (11,7)
OD. (-7, -11)
PLEASE HURRY
Answer:
The correct answer is C(11,7)
Step-by-step explanation:
I had this question and got it right lol
The required coordinates of the preimage are (-7, 11) when the point is rotated 270° about the origin.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
We have been given that a point is rotated 270° about the origin. The image of the point is (-11,7).
The coordinates of the preimage would be :
x = x cos θ + y sin θ
y = x sin θ + y cos θ
Here x = -11 ,y = 7 and θ = 270°
Substitute the values in the above equations,
x = (-11) cos 270° + 7 sin 270° = -7
y = (-11) sin 270° + 7 cos 270° = 11
Therefore, the required coordinates of the preimage are (-7, 11).
To learn more about the transformations click here :
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ARIANA Y SU FAMILIA HAN CONCRETADO UN PROYECTO FAMILIAR DENOMINADO INTALACION DE UNA GRANJA RN LA QUE CREIAN CORDONICES . ELLOS VENDEN LOS HUEVOS EN CAJA DE 20 UNIDADES . SI LA ULTIMA VEZ VENDIERON 27CAJAS ¿CUANTOS VENDIERON EN TOTAL?
Answer:
540 unidades
Step-by-step explanation:
De la pregunta,
Los huevos se venden:
1 caja = 20 unidades
La última vez que vendiste 27 cajas. Por lo tanto,
1 caja = 20 unidades
27 cajas = x unidades
Cruz multiplicar
x = 27 × 20 unidades
x = 540 unidades.
Por lo tanto, se vendieron 540 unidades de huevos en total.
Will give brainliest.
Answer:
y = -2/3x +3
Step-by-step explanation:
It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?
Answer:
Step-by-step explanation:
This is a proportion question.
change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333
change 3/5 to a decimal 3/5 = 0.6
3.3333 / 2.6 = x / 4 Cross multiply
4*3.33333 = 2.6x Combine the left.
13.33333= 2.6x Divide by 2.6
13.3333/2.6 = x
x = 5.128 spoons of syrup.
can somebody help me with this please.
I don't know what number 1 and number 2 mean,
3：11
4
5：-3
6：-8
You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.
Which equation is graphed below? On a coordinate plane, a hyperbola has a curve in quadrant 2 and a curve in quadrant 4. The curve in quadrant 2 enters the grid line at (negative 3, 1) and (negative 0.5, 6). The curve in quadrant 4 enters the plane at (0. 5, negative 6) and (3, negative 1). y = –StartFraction 3 Over x EndFraction y = StartFraction 2 over x EndFraction y = –2square root of x y = 3square root of x
Answer:
I think the answer is D.
Step-by-step explanation:
thats what i think at least
Answer:
D. y = 3square root of x
Step-by-step explanation:
What is the y-intercept and x-intercept of 2x + y = 10x - 1
Answer:
Wait I only see the part where it says “what is the y-intercept and x-intercept of” but I don’t see an equation :/
Step-by-step explanation:
Write the equation that models the linear relationship
Answer:
is it degrees
Step-by-step explanation:
?
Find the gradient of the line segment between the points (-4,-5) and (2,-4).
Give your answer in its simplest form.
Answer:
1/6
Step-by-step explanation:
gradient= change in y/ change in x
-4--5/2--4= 1/6
1/6 is the gradient
The gradient of the line segment in its simplest form is: 1/6.
What is the Gradient of a Line Segment?Gradient of a line segment = slope.Slope (m) = change in y / change in x.Given the following points, (-4,-5) and (2,-4) are on a line segment:
Gradient (m) = change in y / change in x
Gradient (m) = (-4 -(-5))/(2 -(-4))
Gradient (m) = 1/6
Therefore, the gradient of the line segment in its simplest form is: 1/6.
Learn more about gradient of a line segment on:
https://brainly.com/question/1413251
Please help me i don't understand. I will give points for explanation too.
Answer:
The first one
Step-by-step explanation:
4x - 3y = 15 .first you subtract the 4x from both sides to get it in correct form
-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y
y = 4/3x - 5 . Then you are left with this answer
Answer:
y = 4/3x - 5 (first answer on your photo)
Step-by-step explanation:
4x - 3y = 15
4x - 3y = 15 (we use -4x)
-3y = 15 - 4x (divide by -3)
y = 4/3x - 5
What would this be? PS it's multiple choice.
Answer:
I think it would be A. the first one
Step-by-step explanation:
tell me if it was correct if it wasnt im sorry hope i dont mess u up
Addy is buying a new pair of aeropostale jeans for $40. They are on sale for 25% off. what is the sale price of the jeans?
Answer:
Step-by-step explanation:
40*25%= 10 off
40-10= $30.00 sale price
Please help!!!!!!!!!!
Answer:
D
Step-by-step explanation:
the best answer may be D because 9/3 =3 3×5=15
please help and hurry
Answer:
3,2
Step-by-step explanation:
Mind maps are a great way of
how do you turn 0.03 into a fraction if the 3 is repeating
Answer:
it is 1/30
Step-by-step explanation:
Lets say x =0.03 repeating
100x=3.3333....
- 10x=0.333....
_____________
90x=3
Then divide both sides by 9 to get x:
x=3/90
simplify:
x=1/30
Which weighs more a 20 pound turkey or 320 ounces of turkey stuffing? How do you know?
Answer:
They are equal
Step-by-step explanation:
320 oz is 20 pounds:))
erica solved the equation -5x - 25 = 78; her work is shown below. Identify the error and were it was made
-5x - 25 = 78
Step 1:-5x - 25 -25 = 78 - 25
Step 2: -5x = 53
Step 3:-5x/-5 = 53/-5
step 4: x = -53/-5
a step 1: She should have added 25 to each side
b step 1: She should have divided both sides by -5.
c step 3: She should have divided both sides by -5.
d step 3: She should have multiplied both sides by -5.
Answer:
A
Step-by-step explanation:
It's A because she subtracted a negative and that only make a bigger negative where she should have added
Rotate AXYZ 270° about the origin, (0,0).
Answer:
The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .
Which of these angles listed is vertical to Which of these angles listed is a linear pair to
Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.
Answer:
7. y-1=4(x-2)
y-1=4x-8
y=4x-7
8. y-2=6(x--7)
y-2=6x+42
y=6x+44
11. y-3=2(x-1)
y-3=2x-2
y=2x+1
12. y-4=-1(x-1)
y-4=-x+1
y=-x+5
Y=2x+6
3y-x+3=0
Substitute to solve
Brainliest for correct answer
Answer:
-21/5 or -4.2
Step-by-step explanation:
y = 2x + 6
3y - x + 3 = 0
Substitute the value for y from the first equation into the second equation. Solve for x.
3y - x + 3 = 0
3(2x + 6) - x + 3= 0
6x + 18 - x + 3 = 0
5x + 18 + 3 = 0
5x + 21 = 0
5x + 21 - 21 = 0 - 21
5x = -21
x = -21/5 or -4.2
HEYO! so i have this problem that needs to be solved and not feeling good doesn't help either lol. So here it is....
what is 14/25 in simplest form?
Answer:
0.56
Step-by-step explanation:
Answer:
14/25
Step-by-step explanation:
Because you cant divide both of them by the same number.