Answer:
x-2 is factor so 2 is zero of f(x) =x^4-3x^3+ax^2-16x+20
Step-by-step explanation:
2^4-3×2^3+a×2^2-16×2+20
solve this Answer is come.THANK YOU.
If (x - 2) is a factor of the polynomial f(x) = x⁴ -3x³ + ax² -16x + 20.
Then the value of a is -17.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A polynomial,
x⁴ -3x³ + ax² -16x + 20.
If x - 2 is a factor the x = 2 is the zeros of the polynomial.
When x = 2,
then,
x⁴ -3x³ + ax² -16x + 20 = 0
2⁴ -3(2)³ + a(2)² -16(2) + 20 =0
48 + 20 + 4a = 0
4a = -68
a = -17
Therefore, the value of a is -17.
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A box contains 83 coins, only dimes and nickels. The amount of money in the box is $5.80. How many dimes and how many nickels are in the box?
Answer:
Step-by-step explanation:
n = nickels
d = dimes
q = quarters
1) n + d + q = 39
n+d = q - 3
Translate to: 2) n + d - q = -3
.05n + .1d + .25q = 6.7 amount of each coin times the number of coins must add to 6.7
Multiply both sides by 20...
3) 1n + 2d + 5q = 134
Combine 1) & 2)
n + d + q = 39
n + d - q = -3
Add together
2n + 2d = 36
Divide by 2:
4) n + d = 18
Combine 1) and 3)
n + d + q = 39 Multiply by -5 => -5n -5d -5q = -195
n + 2d + 5q = 134 n + 2d + 5q = 134
Add together-> 5) -4n - 3d = -61
Combine 4) and 5)
n + d = 18 Multiply by 4 => 4n + 4d = 72
-4n - 3d = 61 -4n - 3d = -61
Add: d = 11
11 dimes...
Plug that into 4)
n + 11 = 18
n = 18-11 = 7 nickels.
Plug that into 1.
n + d + q = 39
7 + 11 + q = 39
18 + q = 39
q = 39-18 = 21 quarters
21 quarters, 7 nickels, and 11 dimes.
21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7 Check.
Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences.
Answer:
Tessa is correct. They have enough money.
Please read Comfort Zone on Wattpad!!!!!!
Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.
Answer:3
Step-by-step explanation:
plot 7/8 and 2 1/4 on a number line
The given fractions are plotted on number line as given below.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].
To plot fractions on the number line, follow the steps given below:
Step 1: Draw a number line of a suitable length.
Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.
Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.
Step 4: Starting from the left point, count forward the number of parts shown by the numerator.
Step 5: Mark the point on the line.
Hence, the given fractions are plotted on number line as given below.
Learn more about the number line here:
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what is the set of multiples of 4 between 14 and 32
Answer:
{16,20,24,28}
Step-by-step explanation:
___________
CAN SOMEONE HELP A DUMMY OUT PLZ
Find the value of h for the triangle.
A14
h=1
No links plz :)
Thanks:)!!
9514 1404 393
Answer:
5.3
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . where b is the base length and h is the height.
The figure gives an area and shows b=h, so we have ...
14 ft² = 1/2(h)(h)
28 ft² = h² . . . . . . . . . multiply by 2
h = √28 ft ≈ 5.3 ft . . . . . take the square root
Please help me this is for 40 points !!!!
y=-1/4(x-10)^2+28 write in standard form
Answer:
[tex]y = -\frac{1}{4}x^{2} + 5x + 3[/tex]
According to the 2010 Census information, 13.6% of those living in Lucas County are living in poverty. A random sample of 489 people living in Lucas County yielded that 16% of them report living in poverty. Test the claim that the poverty rate has increased since 2010. The level of significance is 0.10. c. Suppose the p-value is 0.085. State the conclusion of this test.
Answer:
Option b .
Step-by-step explanation:
Given that
The 13.6% represent the people living in property
There is a random sample of 489 people in that 16% of them would be in poverty
The significance level is 0.10
ANd, the p value is 0.085
We need to find out the conclusion
According to the attached options, we considered that there is enough evidence in order to support the claim that result in rise in the poverty rate
JUST LOOK AT PICTURE THANK YOUUU
Main / sem
25.1.2 Exam: Semester Exam
A circle is sliced into 16 pieces and rearranged into a shape that looks like a
parallelogram. The dashed line indicates the base of the shape. Which
statement is correct?
O A. The base of the parallelogram is approximately equal to the
circumference of the circle.
O B. The base of the parallelogram is approximately equal to half the
circumference of the circle.
O C. The base of the parallelogram is approximately equal to the
diameter of the circle.
O D. The base of the parallelogram is approximately equal to the radius
of the circle
PREVIOUS
Answer:B half of the circumference
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In the diagram below, O is circumscribed about quadrilateral ABCD. What is the value of x?
Answer:
50°
Step-by-step explanation:
In an inscribed quadrilateral, the opposite angles are supplementary (angle sum = 180).
2x + 80 = 180
2x = 100
x = 50
The value of x of O is circumscribed about quadrilateral ABCD is 50degrees
Circle geometryAccording to the circle geometry given, the sum of the opposite sides of the quadrilateral is 180 degrees.
Setting up the required equation;
2x + 80 = 180
2x = 180 - 80
2x = 100
Divide btoh sides by 2
2x/2 = 100/2
x =50
Hence the value of x of O is circumscribed about quadrilateral ABCD is 50degrees
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Simplify 5(2y+6)+(-24y)
Answer:
-14y + 30
Step-by-step explanation:
Tell me if I am wrong but I think this is it.
Answer:
-14y+30
Step-by-step explanation:
Hope this helpss
Find the circumference of a circle whose radius is 4 feet. Use 3.14 for Pi.
Answer:
25.12
Step-by-step explanation:
The formula of the circumference of a circle is: C = 2(pi)(r)
Plug in 3.14 for pi and 4 for the radius.
C = 2(3.14)(4)
Multiply.
C = 25.12
Please help 50 points to whoever answers, and brainliest to best answer!!!!
Answer:
x = 26/yz
Step-by-step explanation:
A six-pack of soda costs $1.69, a 12-pack of soda costs $3.99, and a 24-pack of soda costs $5.90. Which pack was the best deal?
Answer:
The 24 because it is suposed to cost 6.76 and it cost 5.90.
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Answer:
7/9
Step-by-step explanation:
this equation is true:
21/27 = 7/9
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
7/9 = Proper Fraction
7th grade stuff for fun help
Answer:
soda = 10
burger = 5
fries = 2
5 + 2 x 10 = 25
Step-by-step explanation:
brainliest?
Find the exact value of sin 240° in simplest form with a rational denominator.
Step-by-step explanation:
sin 240° = -½√3 = -0.866
_______
14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°
According to given angles ,
Angle C=180- angle F (Linear pairs or st.line )
=70
Angle B = 180 - angle B (Same as above)
=80
Now
Angle D =Angle C + Angle B (Exterior angle property of a triangle)
=150°
Enjoy
Simplify the expression using order of operation (11 - 8)^3 - 2 x 6
Answer:
500
Step-by-step explanation:
(11-3)^3-2x6
first evaluate 11-3-->8
then cube it-->8^3=512
then multiply 2x6-->12
then subtract the two-->512-12=500
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}[/tex]
[tex]\huge\textsf{Parentheses}[/tex]
[tex]\huge\textsf{Exponents}[/tex]
[tex]\huge\textsf{Multiplication}[/tex]
[tex]\huge\textsf{Division}[/tex]
[tex]\huge\textsf{Addition}[/tex]
[tex]\huge\textsf{Subtraction}[/tex]
[tex]\mathsf{(11 - 8)^3 - 2\times 6}[/tex]
[tex]\mathsf{11 - 8 = \boxed{\bf 3}}[/tex]
[tex]\mathsf{3^3 - 2 \times 6}[/tex]
[tex]\mathsf{3^3 = 3\times 3\times 3 = 9\times 3 = \boxed{\bf 27}}[/tex]
[tex]\mathsf{27 - 2 \times6 }[/tex]
[tex]\mathsf{2\times 6 = \boxed{\bf 12}}[/tex]
[tex]\mathsf{27 - 12}[/tex]
[tex]\boxed{\mathsf{\bf= 15}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 15}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Maddie Evans drove 180 miles in the same matter I'm not detect a turbo propeller plane to travel 690 miles the speed of the plane was 170 mph faster than the speed of the car find the speed of the plane
Answer:
let
m = the speed of Mattie
d1 = 180 mi the distance Mattie traveled
p = the speed of the plane
d2 = 630 mi the distance the plane traveled
the speed of the plane was 150 mph faster than the speed of the car
p = m + 150
since speed = distance/time => time = distance/speed
d1/m = d2/p
180/m = 630/p cross multiply
180p = 630m divide both sides by 90
2p = 7m
by solving the system of equations
p = m + 150
2p = 7m
we find
p = 210 mph
The speed of the plane was 210 mph
7
Which expression is equivalent to 3
8
- 6-?
4.
Choose 1 answer:
А
-6 +
4
B
7
3 +
8
+
D
4.
Answer:
b
Step-by-step explanation:
Use the Law of Cosines to find the measure of ∠F. Round to the nearest degree.
f = 5, g = 6, h = 7
Use: f² = g² + h² – 2gh cos F
Answer:
Solution given.
f = 5, g = 6, h = 7
<F=?
we have;
f² = g² + h² – 2gh cos F
5²-6²-7²=-2×6×7 cos F
-60/-84=cos F
F=cos-¹(5/7)=44.41°
<F=44.4° is a required answer
can anyone help pls it's hard
Answer:
[tex](A\cap B)\cap U[/tex]
Step-by-step explanation:
"And" indicates taking the intersection of two sets.
You want numbers that are in all three sets: multiples of 5, multiples of 2, and all 4-digit numbers.
Mixed Applications: Choose the best strategy
Choose any of the following strategies to solve the problems. Identify the strategy you used in each problem.
Use a formula
Draw a Diagram
Write a Number Sentence
Guess & Check
Where is the problem
Which is true about the line whose equation is x = 5?
The slope is undefined.
The y-intercept is 4.
The value of x always equals the value of y.
The slope is zero.
Answer:
the slope is undefined
Step-by-step explanation:
Since x=5, the graph is a straight vertical line when x=5. Since the line is vertical and not horizontal, the slope is undefined. If the line was horizontal then the slope would equal zero.
WILL
GIVE BRAINLIST ANSWER
...
.
..
.
..
.
.
.
.
Answer:
-10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Answer:
YOU POST THIS TWICE
IT'S -10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
How many solutions does this equation have? -2-5x= -(5x+2)
Answer:
Infinite solutions
Step-by-step explanation:
A linear equation is given to us and we need to tell the no. of solutions. The equation is ,
=> -2-5x = - ( 5x +2)
If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,
=> -(5x) -(+2)
=> -5x -2
=> -2 - 5x
This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .
They have infinitely many solutions .The number of students attending summer school at a local community college has been decreasing each year by 7%. If 847 students currently attend summer school at this rate continues, find the number of students attending summer school in 4 years.
Answer:
≈ 634
Step-by-step explanation:
n = 847(1 * .07)^4
n = 847(0.93)^4
n = 633.60005247
n ≈ 634
2. How many squares are in figure 10? Explain how you know.
Answer:
We determined that the 10th figure will have 45 shaded squares. That means 100 – 45 = 55 squares will be unshaded
Step-by-step explanation:
hope this helps