Answer:
A. y = (x - 3)(x + 8)(x - 1)
Step-by-step explanation:
To find zeros of a polynomial, we set the polynomial equal to zero.
We can eliminate C and D; as we set them equal to 0, we see that a root would be 0 due to x. Since we are not looking for a root of 0, those 2 answer choices are incorrect.
Between A and B, A is correct:
A
0 = (x - 3)(x + 8)(x - 1)
x = -8, 1, 3
B
0 = (x + 1)(x - 8)(x + 3)
x = -3, -1, 8
Answer:
Answer A is the correct one.
Step-by-step explanation:
Which function has zeros of -8,1 and 3? We convert each of these zeros into factors, as follows: (x + 8), (x - 1), (x - 3). Answer A is the correct one.
650 divided by 3/2 (With the full explanation)
Answer:
Multiply the numerator by the reciprocal of the denominator to get 650 x 2 divided by 3. Then, multiple 650 and 2 which is 1300, then it is 1300 over 3, or 433.3, and it is repeating.
Step-by-step explanation:
By the concept of division by a fraction, 650 divided by 3/2 will result in [tex]433 \frac{1}{3}[/tex].
We have to solve 650 divided by 3/2.
Mathematically, it can be expressed as:
650 ÷ [tex]\frac{3}{2}[/tex] -----(1)
To solve the above expression, at first we can apply the concept of dividing by a fraction. Which say that:
dividing by a fraction = multiplying by the reciprocal of the fraction
And the reciprocal of any fraction is simply the ratio of denominator and numerator.
So, the reciprocal of [tex]\frac{3}{2}[/tex] is [tex]\frac{2}{3}[/tex] .
Then, expression (1) will be equivalent to
[tex]650 \div \frac{3}{2} = 650 \times \frac{2}{3}[/tex] ------(2)
That means we have to multiply 650 and fraction 2/3.
To get the multiplication of two fractions, we multiply the numerators together and the denominators together.
[tex]650 \times \frac{2}{3} = \frac{650\times 2}{3}[/tex]
[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]
[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]
[tex]650 \times \frac{2}{3} = 433 \frac{1}{3}[/tex]
Thus, from equation (2)
[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]
Hence, 650 divided by 3/2 is:
[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]
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Determine which postulate or theorem can be used to prove that
AABC= ADCB.
A. SSS
B. ASA
C. SAS
D. AAS
Answer:
[tex]\triangle ABC \cong \triangle DCB[/tex] by AAS
Step-by-step explanation:
According to the following two triangles, [tex]\triangle ABC[/tex] and [tex]\triangle DCB[/tex] are congruent by Angle-Angle-Side (AAS), because there are two angles shown and share a side, which is in the middle between triangles.
I really need help..
Thanks!
-13 (q + 4) = 7 q + 16
Answer:
q=3.4
Step-by-step explanation:
-13q+-52=7q+16
-52=20q+16
-68=20q
-68/20 is -3.4
Anyone know the answer to this?
a. 6x2
b. 2x3
c. 5x2
d. 4x2
e. 5x1
9 and 10 only ...............
Answer:
19
Step-by-step explanation:
To make 5 dinner rolls, 1 third cup of flour is used.
How much flour is needed to make one dinner roll? someone helpp
Answer:
1/3 ÷ 5 = 1/3 x 1/5 (the reciprocal of 5) or 1/15 cup to make a single dinner roll
Step-by-step explanation:
What is the mean height of Bella's corn stalks?
A 69cm
B 75cm
C 78cm
D 80cm
E 81cm
Answer:
C. 78
Step-by-step explanation:
Add all of them together, then divide by 5 because there are 5 different plants.
Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?
Answer:
9 dollars
Step-by-step explanation:
It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.
Evaluate the following and express the answer in scientific notation.
2.44 × 10^ −10 ÷ 4 × 10^ −6
Answer: 6.1e-17
Step-by-step explanation:
the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.
2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶
First, divide 2.44 by 4, which gives us 0.61.
Next, subtract the exponents by applying the division rule for exponents:
10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴
Therefore, the simplified expression is 0.61 × 10⁻⁴.
To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.
Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
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The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *
Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
A bottle of water is 2/3
full. You drink 1/4
of the water. Use a model to find the portion of the bottle of water that you drink.
Answer:
1/6
Step-by-step explanation:
Total quantity of water = 2/3
Total quantity drank = 1/4
The portion of the water that you drank = 1/4 of 2/3
= 1/4 × 2/3
= 1*2 / 4*3
= 2 / 12
= 1 / 6
The portion of the water that you drank = 1/6
This means you drank one - sixth of the water in the bottle
while on vacation in washington Dc, the cab ride for the dulles airport to the hotel is 15 miles. the
While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.
The temperatures in my town one week in December were 3°F, 10°F, 5°F, 18°F, 7°F, 3°F, and 3°F. What was the mean temperature that week?
Answer:
It was 3
Step-by-step explanation:
This is because its the one clóset to 0
I hope this help you out
which absolute value function opens down?
See attachment for math work and answer.
I need help asap please
Answer:
(E) if im wrong don't sew meh
Step-by-step explanation:
What is the equation of the line that passes
through the points (4, -3) and (2, 3).
Answer:
24
Step-by-step explanation:
(4-3) + (23) = 24
A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800
Answer:
The minimum cost for the transportation for the field trip is $1700
Step-by-step explanation:
Let x be the no. of large buses and y be the no. of small buses
Number of students in large bus = 60
Number of students in x large buses = 60x
Cost of 1 large bus =$300
Cost of x large buses = 300x
Number of students in small bus = 45
Number of students in y small buses = 45y
Cost of 1 small bus =$200
Cost of y small buses = 200y
Cost = 300x+200y
We are given that A school district needs to arrange transportation for at least 360 students
[tex]60x+45y \geq 360[/tex]
The district only has chaperones for, at most, seven buses.
[tex]x+y \leq 7[/tex]
Plot the lines on graph
[tex]60x+45y \geq 360[/tex] --- Black region
[tex]x+y \leq 7[/tex] --- Red region
Feasible points :
At(3,4)
Cost = 300x+200y=300(3)+200(4)=1700
At(7,0)
Cost = 300x+200y=300(7)+200(0)=2100
At(6,0)
Cost = 300x+200y=300(6)+200(0)=1800
So, The minimum cost for the transportation for the field trip is $1700
Answer:
1700
Step-by-step explanation:
2020 edge
*PLEASE ANSWER, I NEED HELP I DONT GET IT*
Answer:
the third graph
Step-by-step explanation:
2x<6/÷2 we get x<3
3x+2>-4
3x>-4-2
3x>-6/÷3
x>-2
Answer:
Basically how inequalities work is that they restrict equations into certain parts of graphs. So the answer would be C.
Step-by-step explanation:
You can do normal division on inequalities so you can do 2x<6 and then divide both sides by 2 to get the unit value of x. You get x<3
When something is < or >, the inequality graph will be an open circle.
When something is ≥ or ≤, the sign is a closed circle which basically means a filled in circle. Since both inequalities have the > or < sign, you know that both graphs have to have open circles, which basically mean a circle where you can see the center as a different color. It will be a circle like an o.
You now know that it is either A or C, but how to know which one?
You can simplify the inequalities as you know from before that 2x<6 is equal to x<3 so you can graph that on a number line. X is less than three, so the line should run away from three down to 0 and the infinity of negative numbers. C is the only answer that fits it. You may wonder though, "Why in C, does the line stop at -2 with another open circle?" That is because are two inequalities.
The first is x<3
but the other is 2x+2>-4
You can simplify that by subtracting 2 from both sides to get 2x isolated on the left side. You get 2x>-6.
Now you can divide both sides by 2, as we did previously at the beginning. You get x>-3 from dividing.
Finally you can graph that on the number line, but you know that x is greater than -3, so it should be an open circle starting from -3 heading out to the infinite cosmos of positive numbers.
BUT...
The two inequalities are separated by "and," meaning that they are related by the fact that they are directly connected. There are two possible words that separate inequalities, "and," and, "or."
In "or" statements, the two inequalities are not related, so the two inequalities would keep on going forever without regard to the other.
In "and" statements, the two inequalities are related, so the two inequalities would depend on each other to end off each other.
SO
Because they are connected with the word And,
They would end off at each other, so the original inequalities would depend on each other to continue, or to end off.
That is why the two inequalities would be a line from anything greater than -2 all the way to all the numbers below 3. The numbers could be anything from -1.999999999999999... forever, as long as they do not equal or go less than -2. The numbers could be anything from 2.99999999... forever, as long as they do not equal or go over 3.
Hope this helps!
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)
Answer:
23
Step-by-step explanation:
7 - 5p + 3a
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
Please answer this for me it’s due tonight!
Answer:
the answers are the first one and the third one.
A's slope is y = 5.75x + 3
B's slope is y = 5.5x + 4
Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%. What was the cost of the
backpack before tax?
Answer:
21.00
Step-by-step explanation:
21.00 I think (sorry if it wrong!!)
The cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%
Let x be the cost of the backpack before tax.
22.05(1 - 5%) = x
x = 22.05(1 - 0.05)
x = $20.94
Thus, the cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.
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7.65÷(10 to the power of 5)
Answer:
0.0000765
Step-by-step explanation:
Answer:
153/2000000 i think
Step-by-step explanation:
He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY
Answer:
A
Step-by-step explanation:
The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB.
What is trigonometry?Trigonometry is a branch of mathematics concerned with the relationships between the sides and angles of triangles, as well as the calculations that are based on them.
It's widely used in fields like physics, engineering, and navigation. The sine, cosine, and tangent functions are the three primary trigonometric functions that relate the ratios of a right triangle's sides to its angles.
Now, the two sides making an angle Ф in a triangle will be having the fixed lengths then the length of the third side is proportional to the angle Ф.
Since the opposite angle of XY(79°) is larger than that of YZ(65°), so XY > YZ.
Again the opposite angle of YZ(65°) is larger than that of AB(36°), so YZ > AB.
Since the sides containing those angle are same and they are 8 ft
Therefore, statement A. is correct.
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Your question seems incomplete, the probable complete question is:
He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY
Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3
Answer:
the answer is A, x=2
Step-by-step explanation:
Hi if you can answer this i'll mark u brainllest
Im really bad at mathhh :(
SORRY
Answered-90 - integers10/11 - Rational1,000- Natural NumbersI did as much as I could, Hope I helped!!!
If you want I would really like it If I was brainliest
Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane
finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to
purchase the laptop?
80
79
60
59
Answer:
59
Step-by-step explanation: x=number of hours
150+7.50x=595
7.50x=595-150
7.50x/7.50=445/7.50
x=59
if 3n-4=8 then what is the value of 5n-3
PLEASE HELP WILL GIVE BRAINLIEST
Mercury is the closest planet to the Sun, with an average distance of 35,000,000
miles.
It takes light about 3 minutes to travel from the Sun to Mercury.
Neptune is the farthest, with an average distance of 2.8 x 10 to the power of 9 miles from the Sun.
How many times farther from the Sun is Neptune than Mercury?
How long does it take light to reach neptune?
80 times farther from the Sun is Neptune than Mercury.
Given that, the distance between Mercury and Sun = 35,000,000 miles and the distance between Neptune and Sun = [tex]2.8\times10^9[/tex].
What is an average distance?An average distance is the average of the greatest and least distances of a celestial body from its primary.
Now, number of times farther from the Sun is Neptune than Mercury
= [tex]\frac{2.8\times10^9}{3.5\times10^7}[/tex]
=0.8×10²
=80
Time taken for light to reach Neptune = 3×80=240 minutes
=4 hours
Therefore, 80 times farther from the Sun is Neptune than Mercury.
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Write the product as a power.
10 X 10 X 10 =
Answer:
10^3
Step-by-step explanation:
Answer:
10^3
Step-by-step explanation:
count how many 10s are there and that is the answer
(there are 3 tens so put the power as 3)
To check 10 X 10 X 10 is 1000
10^3 is 1000