David performed the following mathematical operation:
x+5
+9x-5
2x-
:-1)2x² +9
He was left with a remainder of zero. Which of the following statements must
be true?
A.
must be a root of the polynomial 2x² +9x-5.
o
B. O must be a root of the polynomial 2x² +9x-5.
O c.
must be a root of the polynomial 2x² +9x-5.
D. 5 must be a root of the polynomial 2x² + 9x-5.
Answers
Answer: C: x = 1/2
Step-by-step explanation:
The solution is , O c. 1/2 must be a root of the polynomial 2x² +9x-5.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here we have this:
Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:
Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:
2x-1=0
2x=1
x=1/2
and, we have,
x+5=0
x=-5
Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option C.
Hence, The solution is , O c. 1/2 must be a root of the polynomial
2x² +9x-5.
Know more about Polynomials here:
brainly.com/question/2833285
#SPJ7
Related Questions
URGENT!!
The length of a rectangle is five more than double the width. Find the dimensions if the
perimeter is 88m.
Answers
Answer:
13, 31
Step-by-step explanation:
Set the width as x.
Length: 2x + 5
Perimeter:
(x) + (2x + 5) + (x) + (2x + 5) = 88
Simplify.
6x + 10 = 88
Solve.
6x = 78
x = 13
Substitute this into the previous equations
Width: 13
Length: 31
Answer:
The length is 31m and the width is 13m.
Step-by-step explanation:
Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:
88 = 2(2w +5) + 2w
Then simplify by combining like terms and solve for the width (w).
88 = 6w + 10
78 = 6w
13 = w
Now that we have the width, we can plug it back into the equation we made for the length.
l = 2w + 5
l = 2(13) + 5
l = 26 + 5
l = 31
I hope this could help!
What is the perimeter of the kite?
a.44
b.140
Answers
Answer:
B.) 140 is your answer for your problem
how is 4(x+3) equal to 12+4x
Answers
Answer:
When distributed, 4(x+3) = 12+4x
What is Limit of h (x) as x approaches 10 plus? 12.5 13 18.5 19
Answers
Answer:
the answer is C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which number makes this equation true?
(12 + 5) * 7 = (12 x 7) + (5 * __)
Answers
(c) 7
7×(12 + 5) = (7×12) + (7× 5)
Explanation:
Distributive property say that multiplication an division can be distributed over parenthesis.
a x (b+c) = a x b + a x c
The deposit on one can is $0.05, what is the deposit on 23 cans?
Answers
Answer: $1.15
Step-by-step explanation:
Data 1 can(c)=0.05
23 cans(c)=x
Only step, multiply 23x0.05=1.15
Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c
Answer: $1.15(Don't forget the dollar sign)
I hope this helps!
What value of x makes this statement true?
3.2 = 2x + 12
Answers
Answer:
-4.4
Step-by-step explanation:
Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3
Answers
Answer: -4=0
Step-by-step explanation:
If purple paint is sold by the gallon. How many gallons will we need to buy?
Answers
Answer:
what?
Step-by-step explanation:
Answer:
However much gallons of purple paint you need
- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?
Answers
Answer:
20
Step-by-step explanation:
1000g = 1 kil0
2 x 1000 = 2000g
Number of cakes = 2000 / 100 = 20
IF U ANSWER THIS U ARE SWAG
Is the triangle equilateral, isosceles, or scalene? Pls explain ur answer too
Answers
find the quotient of 45÷ 5
Answers
Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3
Answers
YA'LL LOOK
https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz
whats the square root of 81
Answers
Answer:
Square root of 81 is 9
Step-by-step explanation:
The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question
Answers
Answer:
IT IS FALSE
Step-by-step explanation:
Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?
Answers
Answer:
See proof below
Step-by-step explanation:
Find the diagram attached.
From the diagram, sum of angle on the straight line l is 180degrees that is:
<A' + <B' + <C' = 180° .... 1
Also note that
<A = <A' (corresponding angle) ...2
<B = <B' (corresponding angle) ... 3
<C = <C' (vertically opposite angle) ...4
Substitute 2, 3 and 4 into 1, we will have:
A+B+C = 180°
This shows that the sum of the interior angles of the triangle A B and C is 180°
Liam is planning a trip to Ireland and plans to pay for his airfare using Air Miles. The cost
for a flight from Toronto to Dublin is $625 plus $123 in fees and HST. Liam will need a
return ticket as well which retails for the same cost. Liam also intends to use his Aeroplan
points to get the flight. The cost of a flight in Aeroplan points is 80,000 one way and does
not include additional fees, but does include HST. Liam currently has 120,000 Aeroplan
points and plans to drain his account on these flights. How much will Liam pay for his
trip?
Hint: Sales Tax (HST) in Ontario is 13%
Answers
The best price found on Skyscanner for a flight from Dublin to Toronto is €289. This was found by aggregating across different carriers and is the cheapest price for the whole month. How long does it take to fly from Dublin to Toronto? 7h 20min is the average flight time from Dublin to Toronto. How many airlines fly direct from Dublin to Toronto?
Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2
Answers
Answer:
B97.60
Step-by-step explanation:
I got b bc if u add all the number up u get that answer.
please answer below :-)
Answers
Answer:
Ur answer is B!!!
Step-by-step explanation:
I have no time to explain but trust me ive had this question
help me solve this please
Answers
[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]
parallel sides measure :
10 ft -(a)12 ft. -(b)Area :
44 ft²height (h) = x
___________________
[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]
[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex][tex] \dfrac{1}{2} \times 22 \times x = 44[/tex][tex]11x = 44[/tex][tex] \boxed{ 4 \: \: ft}[/tex]Therefore, height of Trapezoid is 4 ft
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Given: sintheta=5/13
Find sin: 2theta
Answers
Answer:
sin 2θ=120/169
Step-by-step explanation:
Find the surface area and volume of the pyramid.
Answers
Given:
The figure of a square base pyramid.
To find:
The area of volume of the pyramid.
Solution:
The area of square base is:
[tex]B=(side)^2[/tex]
[tex]B=(16)^2[/tex]
[tex]B=256[/tex]
Area of one triangular side of the pyramid is:
[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 16\times 13[/tex]
[tex]A_1=104[/tex]
Now, the total surface area of the pyramid is:
[tex]A=B+4A_1[/tex]
[tex]A=256+4(104)[/tex]
[tex]A=256+416[/tex]
[tex]A=672[/tex]
Therefore, the surface area of the pyramid is 672 square m.
The volume of the pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the vertical height of the pyramid.
Substituting [tex]B=256,\ h=6[/tex], we get
[tex]V=\dfrac{1}{3}(256)(h)[/tex]
[tex]V=(256)(2)[/tex]
[tex]V=512[/tex]
Therefore, the volume of the pyramid is 512 cubic meters.
Hence the correct option is d.
use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150
Answers
Answer:
See Explanation
Step-by-step explanation:
This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.
Solving (a): The equation
Pick any [tex]two[/tex] [tex]points[/tex]on the [tex]trend[/tex] line
[tex](x_1,y_1) = (30,40)[/tex]
[tex](x_2,y_2) = (80,70)[/tex]
[tex]y = 0.6x + 22[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{70 - 40}{80-30}[/tex]
[tex]m = \frac{30}{50}[/tex]
[tex]m = 0.6[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0.6(x - 30) + 40[/tex]
[tex]y = 0.6x - 18 + 40[/tex]
[tex]y = 0.6x + 22[/tex]
Solving (b): y, when [tex]x = 21[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]x = 21[/tex]
[tex]y = 0.6 * 21 + 22[/tex]
[tex]y = 12.6 + 22[/tex]
[tex]y = 34.6[/tex]
Solving (c): x when [tex]y=150[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]y=150[/tex]
[tex]150 = 0.6x + 22[/tex]
Collect like terms
[tex]0.6x = 150 -22[/tex]
[tex]0.6x = 128[/tex]
Solve for x
[tex]x = \frac{128}{0.6}[/tex]
[tex]x = 213.3[/tex]
"Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work
Answers
Answer:
Step-by-step explanation:
Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work
7. If A (6,8) and B (7, 4J are two points,
find the distance between a andB.
any
- Solo,
Answers
Answer:
√17 units
Step-by-step explanation:
(6, 8) & (7, 4)
To find the distance between two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Plug in the values you know.
[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(1) + (16) }[/tex]
Add.
[tex]d = \sqrt{(17)[/tex]
Evaluate the square root.
[tex]d=\sqrt{17}[/tex]
This square root is already fully simplified.
Your answer is √17 units.
Hope this helps!
What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches
Answers
Answer:
11x11 inches
Step-by-step explanation:
You are missing the first part of the problem, which is the following:
"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"
With this in mind, we just need to solve the equation and determine the value of x. The equation is:
(x - 3)² = 64
Solving this, we have:
x - 3 = √64
x - 3 = 8
x = 8 + 3
x = 11Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.
Hope this helps
Answer:
11x11
Step-by-step explanation:
Find the volume of a drum with a radius of 7 inches and a height of 15 inches
Answers
Answer:
pi*15*7^2=735pi=2309 (to the nearest whole number)
what value of x makes 8x - 20 equals to 44?
Answers
Answer:
x = 8
Step-by-step explanation:
8x - 20 = 44
8x - 20 + 20 = 44 + 20
8x = 64
8x ÷ 8 = 64 ÷ 8
x = 8
You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.
Answers
x is the angle of elevation
Opposite is the height of the light house
Adjacent is the distance from coast
Tan(x) = opposite/adjacent
tan (59) = opposite/ 45
tan(59) x 45 = opposite
opposite = 74.893
The height of the light house (from sea level) is 75 foot.
Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?
Answers
Answer:
Rs.22000
Step-by-step explanation:
Given data
Naveen earns Rs 55,000 per month
He spends 3/5 of his income every month
Let us find the amount he spends
=3/5*55,000
=165000/5
=Rs.33000
Hence the savings is
= 55,000-33000
=Rs.22000