Answer:
I think its D.
[tex]Option\ D.\ x-2\ and\ x^{2} +6x-16[/tex] represents the divisor and the dividend for the synthetic division problem given.
What is synthetic division?Synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.
When you set up an equation using synthetic division write c for the divisor x - c. Then write the coefficients of the dividend to the right, across the top. Include any 0's that were inserted in for missing terms.
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-2 (6a +1) + 5 <11
Show the deconstruction process, please.
Answer:
-2/3
Step-by-step explanation:
-2 (6a +1) + 5 <11
1) -12a-2+5 <11
2) -12a+3 <11 add -2 and 5
3) -12a < 8. subtract 3 from each side
4) a >8/-12. divide by -12 and flip the
enequality
5) a> -2/3. simplify your fraction
john and peter started jogging from the same place at the same time, but in opposite directions along a straight road. After jogging for 3 hours, they were 27 km apart. If john's average speed was 6 km/h, what is peters speed?
Answer: 3km/h
Step-by-step explanation:
Johns average speed was 6km/h, so in 3 hours he traveled 18 km. 27-18=9, so Peter ran 9 km in 3 hours. 9/3 = 3, so his average speed was 3km/h
Answer:
3 km/h
Step-by-step explanation:
Distance = speed x time
The distance apart equals to the sum of the distance that John jogged, and the distance that Peter jogged since they go opposite directions.
Hence,
let v be peter's speed
27 = 6x3 + vx3
27 = 18 + 3v
27-18 = 3v
9 = 3v
v = 9/3
v = 3 km/h
A restaurant is conducting a holiday special in which all meals are discounted 24%. If Billy had a meal from the restaurant for a discounted price of $22.04, how much would the meal have cost, in dollars, without the holiday special discount?
Answer:
Step-by-step explanation:
Without the special discount, the meal would cost $29.
A discount reduces the price of an item. As a result of the discount, Billy would pay a lower price for his meal. As a result of the discount, Billy would pay 76%(100 - 24%) of the original price of the meal.
This equation can be used to determine the original price of the meal:
discounted price / 76%
$22.04 / 0.76 = $29
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PLEASE HELP GUYS ILL REWARD BRAINLIEST
Answer:
Step-by-step explanation:
(2,6)
Answer:
The solution of the two equations is where both lines intersect
From the graph they intersect at point
(6,2)
So the solution is x = 6 y = 2
Hope this helps you
Which point is a solution of x + 2y ≤ 4?
Answer:
0 = x, y = 2.
Or x = 2 and y = 1.
Step-by-step explanation:
≤ means less than or equal to.
Can someone please help me I don’t understand how to do it
9) Find the values of the following when x = 1, 2 and 3:
a. X 2 +2x-3
b. x 3 +5
C.X2 +5x+4
Answer:
Step-by-step explanation:
x^2 + 2x - 3 = (1)^2 + 2(1) - 3 = 0 for x = 1
(2)^2 + 2(2) - 3 = 5 for x = 2
(3)^2 + 2(3) - 3 = 12 for x = 3
x^3 + 5 = (1)^3 + 5 = 6 for x = 1
(2)^3 + 5 = 13 for x = 2
(3)^3 + 5 = 32 for x = 3
x^2 + 5x + 4 = (1 )^2 + 5(1) + 4 = 10 for x = 1
(2)^2 + 5(2) + 4 = 18 for x = 2
(3)^3 + 5(3) + 4 = 46 for x = 3
1 is the first odd number. It is also the first square number and the first cube number.
Which is greatest:
a) the third odd number, the third square number or the third cube number?
b) the sixth odd number, the fourth square number or the second cube number?
ALSO plz explain why because I need to know why aswell
Answer:
a. third odd number = 5
third square number = 9
third cube number = 27
Answer is the third cube number.
b. sixth odd number = 11
fourth square number = 16
second cube number = 8
Answer is the fourth square number.
What does the SAS congruence theorem state? Question 7 options: A) If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. B) If three sides of one triangle are congruent to three corresponding sides of another triangle, then the two triangles are congruent. C) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. D) If a side and an angle of one triangle are congruent to a side and an angle of another triangle, then the two triangles are congruent.
Answer:
C
Step-by-step explanation:
SAS= side-angle-side
C) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Answer:
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Step-by-step explanation:
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST AND 20 POITNS RATHER THAN FIVE I REALLY NEED HELP
Answer:
its c choose c
Step-by-step explanation:
I think it's right
Answer:
ITS D!!!!!!!!
Step-by-step explanation:
2. Joey has 12 coins consisting of dimes and
nickels. If the total value of the coins is 75 cents
how many are dimes and how many are
nickels.
Let
Let
Equation:
Equation:
Sentence:
Which is the simplified form of (9 c Superscript negative 9 Baseline) Superscript negative 3? 9 c Superscript 27 StartFraction 1 Over 729 EndFraction c Superscript 27 729 c Superscript 27 StartFraction 9 Over c Superscript 27 Baseline EndFractioN
Answer:
The correct option is B
B) (1/729)c²⁷
Step-by-step explanation:
Lets write it all in an understandable form.
The given expression is:
( 9c ⁻⁹ ) ⁻³
The given options are:
A) 9c²⁷
B) (1/729)c²⁷
C) 729c²⁷
D) 9/c²⁷
Lets find the solution. The given expression is:
( 9c ⁻⁹ ) ⁻³
Multiply the outer power -3 with each term inside the bracket. It can be rewritten as.
(9⁻³) ( c ⁽⁻⁹⁾⁽⁻³⁾)
A negative power can be converted into positive by taking it down in the denominator.
The multiplication (-9)(-3) results in 27.
The equation can be written as:
( 1/9³) ( c²⁷)
Where 9³ = 729
( 1/729)( c²⁷)
which is equal to option B
B) 1/729 c^27
I just took the quiz on edge
Which formulas can be used to find the surface area of a regular pyramid
where p is the perimeter of the base, s is the slant height, BA is the base area,
and LA is the lateral area?
Check all that apply.
This question is incomplete because it lacks the appropriate options
Complete Question
Which formulas can be used to find the surface area of a regular pyramid
where p is the perimeter of the base, s is the slant height, BA is the base area,
and LA is the lateral area?
Check all that apply.
a) SA = BA + 1/2ps
b) SA = 2BA + 1/2ps
c) SA = BA + LA
d) SA = BA + 2LA
e) SA = 8.LA
Answer:
a) SA = BA + 1/2ps
d) SA = BA + 2LA
Step-by-step explanation:
When finding the surface area of a regular pyramid it is important to take note of two things
A pyramid has a Base area which is always represented by BA.
a) When a regular pyramid has similar ( side)faces, for examples a regular square pyramid, which has the base of a square, the formula to use is
Surface Area = Base Area + 1/2ps
Where p = Perimeter of the side faces
s = Slant height.
b) When the side faces are not so similar , for example, we are given a triangular based pyramid, the formula we would use is given as:
Surface Area = Base Area + Lateral Area.
Therefore, the formulas we can use to find the Surface Areas or a regular pyramid are:
a) SA = BA + 1/2ps
d) SA = BA + 2LA
An angle is formed by: A. Two rays that share the same endpoint B. Parallel lines C. Any two rays D. Any ray and any line
Answer:
Step-by-step explanation: The answer is A because the two lines must intersect to form an angle take the letter L for example. Letter B is incorrect because Parallel means they don't touch kind of like these two L's: l l And C and D could mean anything meaning they could intersect or not which is an answer too broad for the question.
2. How much extra snow would a child need to make a snowball with a diameter of 8
cm and increase its size to a snowball with a diameter of 12 cm?
Answer:
62.8 cm²
Step-by-step explanation:
First, you figure out the areas of both snowballs:
πr² = π4² = 3.14 × 16 = 50.24
πr² = π6² = 3.14 × 36 = 113.04
Then you subtract the two measurements:
113.04 - 50.24 = 62.8
Shanella Already has $137 from babysitting. She needs at least $625 for a new tablet. Which inequality best represents the scenario
Answer:
Step-by-step explanation:
let x represents amount.
Then x≥625-137
or x≥488
A hummingbird can fly between 0.34 and 0.81 miles per minute. Create an inequality to
represent the range of the hummingbirds speed. Solve for the range of the hummingbirds
speed in miles per hour. Explain each of your steps.
Answer: .34 ≤ x ≤ .81
Step-by-step explanation:
An inequality is writted like __ ≤ x ≤ ___
Since the humming bird can fly between .34 and .81 we use the the less than or equal to sign because it can fly max .81 mpm or less than that. with a minimum speed of .34 mpm.
At the age of 4, Ted received an inheritance of $2,500. His mother invested the money in an account bearing 5% annual interest. How long will it take for this inheritance to double in value? Round your answer to 2 decimal places.
Answer: when he is 24 years
Step-by-step explanation: 5 x 20 =100. The doubled amount will be 5,000.
The time taken for the amount to double is 14.2 years.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It is given that at the age of 4, Ted received an inheritance of $2,500. His mother invested the money in an account bearing 5% annual interest.
The formula for calculating the amount is given as:-
A = P ( r / 100 )[tex].^t[/tex]
Here, A is the total amount, P is the principal amount, r is the rate of interest and t is the time period.
The time in which the amount will become double is calculated as:-
A = P ( rate / 100 )[tex].^t[/tex]
2500 x 2 = 2500( 1.05)[tex].^t[/tex]
5000 / 2500 = ( 1.05)[tex].^t[/tex]
2 = ( 1.05)[tex].^t[/tex]
Take a log on both sides to calculate the value of t.
log ( 2 ) = log ( 1.05)[tex].^t[/tex]
log ( 2 ) = t log ( 1.05)
t = log ( 2 )/ log ( 1.05 )
t = 14.2
Hence, the time taken for the amount to double is 14.2 years.
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Drag each equation to show if it could be a correct first step to solving the equation 3(6 + x) = 24.
Answer:
x = 2
Step-by-step explanation:
Step 1: Distribute
18 + 3x = 24
Step 2: Subtract 18 from both sides
3x = 6
Step 3: Divide both sides by 3
x = 2
Your first step would be to distribute/multiply the 3 to the parenthesis.
Answer:
(3×6) + (3×x) = 24 ← 1st Step
Step-by-step explanation:
3(6+x) = 24
First step is expand the brackets by distributive property.
=> (3×6) + (3×x) = 24 ← 1st Step
Multiply
=> 18+3x = 24 ← 2nd Step
Subtracting 18 to both sides
=> 3x = 6 ← 3rd Step
Dividing both sides by 3
=> x = 2 ← 4th step
Miracle Maid Service charges a $30 house visit fee plus $5 per room to clean a house. What is the independent variable? A) The price per room B) The number of rooms C) The house visit fee D) The Miracle Maid Service
Answer:
B
Step-by-step explanation:
The independent variable is the variable who's variation doesn't depend on the other. Therefore the answer is B because the amount of rooms doesn't depend on the charge, the charge depends of the amount of rooms.
Arrange the equations in the correct sequence to rewrite the formula for displacement, , to find a. In the formula, d is displacement, v is final velocity, a is acceleration, and t is time.
Answer:
2(d-vt)=-at^2
a=2(d-vt)/t^2
at^2=2(d-vt)
Step-by-step explanation:
Arrange the equations in the correct sequence to rewrite the formula for displacement, d = vt—1/2at^2 to find a. In the formula, d is
displacement, v is final velocity, a is acceleration, and t is time.
Given the formula for calculating the displacement of a body as shown below;
d=vt - 1/2at^2
Where,
d = displacement
v = final velocity
a = acceleration
t = time
To make acceleration(a), the subject of the formula
Subtract vt from both sides of the equation
d=vt - 1/2at^2
d - vt=vt - vt - 1/2at^2
d - vt= -1/2at^2
2(d - vt) = -at^2
Divide both sides by t^2
2(d - vt) / t^2 = -at^2 / t^2
2(d - vt) / t^2 = -a
a= -2(d - vt) / t^2
a=2(vt - d) / t^2
2(vt-d)=at^2
Find the volume of a pyramid with a square base, where the side length of the base is
15.3 m and the height of the pyramid is 19.6 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
1529.4 m^3
Step-by-step explanation:
We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.
First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.
Next, we plug into the formula.
V = 1/3*19.6m*234.09m^2
And simplify:
V= 1/3 * 4,588.164m^3
V= 15.29.3879....
Last, round to the tenth
1529.4 m^3
Answer: 1529.4
Step-by-step explanation:
What is the surface area of a can that has radius of 9 ft. and height of 3 ft.? SA = __________ ft.2. Use 3.14 for pi. A. 678.2 B. 458.6 C. 354.3 D. 292.0
Answer:
678.2
Step-by-step explanation:
To find the surface area you need to use the expression [tex]2\pi rh + 2\pi r^2[/tex]
When you substitute the numbers in you get 678.24
The surface are of the can that has radius of 9 ft. and height of 3 ft is 678.2 ft².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the can is the sum of the area of the bases of the can and the lateral surface area of the can. Therefore, the total surface area of the can is,
The surface area of can = 2(Area of base) + Lateral surface area of can
= 2(πr²) + 2πrh
= 2[π×(9 ft)²] + (2 × π × 9ft × 3ft)
= 508.8 ft² + 169.4 ft²
= 678.2 ft²
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Which inequality is equivalent to \-41 <9?
0-9 > X-4 < 9
-9 < x-4 < 9
O X-4<-9 or x – 4 < 9
hry 4 > -9 or x - 4<9
Question Evaluate the following expression at x=−8. −x+5
Answer:
13
Step-by-step explanation:
Simply plug in -8 for x:
-x + 5
-(-8) + 5
8 + 5
13
Answer:
13.
Step-by-step explanation:
If x = -8, all you need to do is put -8 into the equation whenever it says "x".
-x + 5 = -(-8) + 5 = 8 + 5 = 13
Hope this helps!
65.
Evaluate a-b+c for?
Answer:
From the problem, the answer to the equation is 5 1/10
Step-by-step explanation:
First, let's gather the information from the problem.
a = 4 1/5 (also can be turned into 21/5)
b = 2 7/20 (also can be turned into 47/20)
c = 3 1/4 (also can be turned into 13/4)
Now, plug in the numbers using the improper fractions.
21/5 - 47/20 + 13/4
Turn the denominators into the same number.
84/20 - 47/20 + 65/20
Subtract 84/20 and 47/20.
37/20 + 65/20
Add 37/20 and 65/20.
102/20 or 5 1/10
So, your answer to this equation is 5 1/10.
A lotion is made from an oil blend costing $1.50 per
ounce and glycerin costing $1.00 per ounce. Four
ounces of lotion costs $5.50.
Answer:
what's the question?
Step-by-step explanation:
The graph shows which inequality? The equation of the boundary line is y = 3x + 2. y ≤ 3x + 2 y ≥ 3x + 2 y > 3x + 2 y < 3x + 2
Answer:
y ≥ 3x + 2.
Step-by-step explanation:
Well it's going to have an intercept of 2, and since the line is a solid line, the equation will use a more than or equal to sign instead of a more than sign.
The highlight is on the top of the line, so we will use a more than or equal to sign.
So, the equation would be y ≥ 3x + 2.
Hope this helps!
Simplify:$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}[/tex]
All Done!
Answer:
Your correct answer is 8.660254
Step-by-step explanation:
√2√82 + 152 + √92 + 402 = 8.660254
Is 49 divisible by 7?
Answer:
Yes
Step-by-step explanation:
7 X 7 =49 therefore, 49/7 =7 , therefore yes it is divisible
Answer:
Yes it can
Step-by-step explanation:
49/7=7
7•7=49
Hope this help!
The least of 3 consecutive integers is a, and the greatest is z. What is the value of a + 2z/ 2 in terms of a?
Answer:
The value of a + 2z/ 2 in terms of a is (3a+4)/2
Step-by-step explanation:
least of 3 consecutive integers is a, and the greatest is z
if a is the least one
we know that integers differ by value of 1.
example -2, -1, 0, 1,2
they all differ by
then next consecutive integer will be a+1
third integer will be second integer +1 = a+1 + 1 = a+2
Thus, 3 consecutive integer
a , a+1, a+2
but given that greatest is z
thus, a+2 is greatest and hence
a+2 = z
we have to find value of a + 2z/ 2 in terms of a
a + 2z/ 2 = a + 2(a+2)/2 = (a+ 2a +4)/2 = (3a+4)/2.
The value of a + 2z/ 2 in terms of a is (3a+4)/2