Answers
Answer:
A=4, B=3, C=2, D=7 or A=2, B=7, C=4, D=3
Step-by-step explanation:
To factor this, you are looking for factors of 8×21 = 168 that have a sum of 34.
168 = 1×168 = 2×84 = 3×56 = 4×42 = 6×28 = 7×24 = 8×21 = 12×14
The sums of these factor pairs are 169, 86, 59, 46, 34, 31, 29, 26. The factor pair whose sum is 34 is 6×28. This means we can rewrite the expression as ...
8x² +28x +6x +21
Factoring by pairs gives ...
4x(2x +7) +3(2x +7)
(4x +3)(2x +7) ⇒ A=4, B=3, C=2, D=7 or A=2, B=7, C=4, D=3
Answer:
......................
Related Questions
A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?
Answers
Using complex numbers and radicals, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
Hence, since 8i is a root of the function, -8i is also a root.The same is valid for radicals, as they are in the [tex]\pm[/tex] format.
Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.Hence, option C is correct.
For more on complex numbers and radicals, you can check https://brainly.com/question/25173944
the two-way table shows information about the subjects studied
Answers
Answer:
a) 62
b) 31/45
Step-by-step explanation:
a) The table tells you there are 42 males, and 20 more females that study biology.
42 +20 = 62 . . . are male or study biology or both
__
b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
62/90 = 31/45 = P(male or biology)
Question 28
What is the speed in m/s of a car that travels 30km in 20 minutes?
A: 1500 m/s B: 150 m/s
C: 90 m/s
D: 540 m/s
E: None of these
Answers
Answer:
E none of these
Step-by-step explanation:
first convert the 30 km into m
it will be 30000m
speed = distance /time taken
convert the time into seconds too it will be 1200
so 30000/1200 = 25m/s
none of the above
(50 points) Here are descriptions of four situations in which the volume of water in a tank is
a function of time. Match each description to a corresponding graph. Each graph
is used only once.
Available Responses:
Graph 1
Graph 2
Graph 3
Graph 4
Situation A: An empty 20-gallon water tank is filled at a constant rate for 3
minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
Situation B: A full 10-gallon water tank is drained for 30 seconds, until it is half
full. Afterwards, it gets refilled.
Situation C: A 2,000-gallon water tank starts out empty. It is being filled for 5
hours, slowly at first, and faster later.
Situation D: An empty 100-gallon water tank is filled in 50 minutes. Then, a dog
jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The
tank is refilled afterwards.
Answers
Answer:
A = 3
B = 1
C = 2
D = 3
Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Situation A :
The water tank is empty at first. So the graph must start at origin.
Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.
Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.
So the slope must be equal.
And the graph must start from 0 and ends at zero which is graph 3.
Situation B :
Water tank is already full. So the graph must start at higher value in the Y axis.
The only possibility for this is graph 1, since all others starts at origin.
Situation C :
Water tank starts at empty. So the graph starts at 0.
First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.
Situation D :
Graph starts at origin since the tank is empty.
Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.
Hence each of the graph corresponds to the situation is found.
Learn more about Slope here :
https://brainly.com/question/29283638
#SPJ2
Find the length of side x to the nearest tenth.
300
x
1
60°
Answers
Answer:
x=65
Step-by-step explanation:
Sarah has only $180 to spend on her birthday party. If she had to pay $100 for the room and each guest cost $6
for food, how many people can she invite without going over her budget?
Answers
Answer:
She can invite 13 people.
Step-by-step explanation:
Because Sarah has to pay $100 for the room, we can subtract.
$180-$100=$80.
Now that she has $80 left, we can see how many times $6 can go into $80.
$6x14=84.
This number is four more than $80, so Sarah can not invite 14 people.
But, if we do $6x13, we get $78.
$78 does not past $80 and is really close, Sarah can invite 13 people.
Final Answer: Sarah can invite 13 people without going over her budget.
I hope this helps and have a wonderful day! ;0
Answer:
13
Step-by-step explanation:
180-100 = 80
80 divided by 6 = 13.333
Hurry plz!!! graph y= 5/3x - 9
Answers
Answer:
This is what it would look like! Hope this helps!
The expression 16x2 + 4x + 125 represents the height, in feet, of a rock, x seconds after being thrown from a cliff. What does the 125
represent?
O A. the initial height of the rock
O B. the number of seconds it takes the rock to hit the ground
o C. the number of seconds it takes the rock to reach its maximum height
D. the maximum height of the rock
Answers
The motion of the rock thrown from the cliff which goes downwards due to
the gravitational force, is a free fall motion.
125 represents; A. The initial height of the rock.Reasons:
The given function that represents the height of the of the rock in feet x seconds after being thrown is; f(x) = 16·x² + 4·x + 125
At the initial height before being thrown from the cliff, we have;
The time, x = 0
The initial height is therefore;
The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125
125 represents A. The initial height of the rock
Learn more about motion under gravity here:
https://brainly.com/question/7596138
PLEASE SHOW ALL WORK AND DO CORRECTLY
For #8 , fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.
8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2
Answers
Answer:
26.2 cm
Step-by-step explanation:
Area = (b1 + b2)/2 * h
401.92 = (x + 14.4)/2 * 19.8
Divide each side by 19.8
20.2989 = (x + 14.4)/2
Multiply each side by 2
40.6 = x + 14.4
Subtract 14.4 from each side
x = 26.2
Answer:
116.82
Step-by-step explanation:
Since your trying to find a missing base
19.8 x 14.4= 285.12
401.94-285.12=116.82
Hopes This Helps
Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-
Answers
Answer:
Step-by-step explanation:
What you have here is called "the difference of two squares"
Difference means subtraction and both 100x2 and 49 are perfect squares.
The factored form of 100x2-49 is
(10x+7)(10x-7)
Because 10x times 10x is 100x2 and 7 times 7 is 49
One factor has a + and
One factor has a -
It is a pattern worth memorizing!
So 10x + 7 is the factor you're looking for.
e. Find the slope of the line that passes through the points (1, 3) and (9,7),
Answers
Answer:
0.5
Step-by-step explanation:
→ Find the difference in y
7 - 3 = 4
→ Find the difference in x
9 - 1 = 8
→ Divide the results
4 ÷ 8 = 0.5
Answer:
The slope is 1/2 (m=1/2)
Step-by-step explanation:
Use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. [tex]\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}[/tex]
x over 2 +2= 15 two step equations
Answers
Answer:
[tex]\boxed{\boxed{\sf x=84}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{x}{6} +2=16[/tex]
Multiply both sides of the equation by 6:
[tex]\sf x+12=96[/tex]
Subtract 12 from both sides:
[tex]\sf x=96-12[/tex]
Subtract 12 from 96:
[tex]\sf x=84[/tex]
_________________________________
Answer:
[tex] \sf \: \longmapsto\frac{x}{6} + 2 = 16[/tex]
[tex]\sf \: \longmapsto\frac{x}{6} = 16 - 2[/tex]
[tex]\sf \: \longmapsto \frac{x}{6} = 14[/tex]
[tex]\sf \: \longmapsto \: x = 14 \times 6[/tex]
[tex]\sf \: \longmapsto \: x = 84[/tex]
Step-by-step explanation:
[tex]\fbox {\fbox {\fbox {\fbox{ \pink{HeavenMistress}}}}}[/tex]
pls help meeeeeeeeeee
Answers
Step-by-step explanation:
VW to WY have the ratio 3/2.
VX to XZ must have the same ratio.
and VX > VW.
so,
30 and 20 is possible, as 30/20 = 3/2.
3 and 2 is not possible, because 6 > 3.
27 and 18 is possible, as 27/18 = 3/2.
13.2 and 8.8 is possible, 13.2/8.8 = 3/2.
8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.
8.7/3 = 2.9
but 2.9×2 = 5.8 and not 5.7.
"flower, heart, circle." what is The 35th shape is
Answers
Answer:
heart
Step-by-step explanation:
Answer:
heart
Step-by-step explanation:
The 36th shape will be the last shape in the 12th repeat of the sequence.
The 35th shape is next-to-last: heart.
Please help. Due Today
Answers
Answer:
Blank 1) 1 pound of raisins
Blank 2) 2.25 pounds of raisins
Blank 3) 1.2 pounds of almonds
Blank4) 1.4 pounds of almonds
hellpppppppppppppppp
Answers
Answer:Its probably c
Step-by-step explanation:
Answer:
Future Farmers of America
Step-by-step explanation:
PLS ANSWER
I WILL MARK AS BRAINLIST
Answers
Answer:
Option 3
Step-by-step explanation:
This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.
Select the correct answer.
Martha manages a home improvement store and uses this function to model the number of customers that visit the store each hour on a
Saturday afternoon.
n(t) = -2.82t2 + 25.746 + 60.87
Which graph would most likely be associated with this model?
Answers
The given quadratic equation gives the parameters of the shape of the
graph of the equation.
The graph that is most likely associated with the model is; graph BReasons:
The given function is n(t) = -2.82·t² + 25.74·t + 60.87
by analyzing the above function, we have;
At t = 0
n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87
The x-coordinate of the maximum point is given by [tex]\displaystyle x = -\frac{b}{2 \cdot a}[/tex]
Which gives;
[tex]\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564[/tex]
The maximum value of the function is therefore;
n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61
The characteristics of the equation are;
Initial value of equation = 60.87
t-coordinate of the maximum point, t ≈ 4.564
Maximum value of the of the function = 119.61
By comparing with the given graphs, we have;
[tex]\begin{tabular}{c|c|c|}&Graph A&Graph B\\Initial value&100&75\\t-value at max point&7&4\\Maximum value&200&125\end{array}\right][/tex]Therefore, the graph that will most likely be associated with the model is; graph B.
Learn more about graphs of quadratic equations here:
https://brainly.com/question/10989920
Answer:
The correct answer is graph B.
Step-by-step explanation:
I got it right on the Edmentum test.
What is the value of x when
Log×=-2.7777
And explain it easy
Answers
[tex]\log_{10} x = -2.7777\\\\\implies x = 10^{-2.7777}\\\\\implies x = \dfrac{1}{10^{2.7777}}\\\\\implies x = 0.00167[/tex]
The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.
Answers
Answer:
84.21%
Step-by-step explanation:
When working with percentages, one must cross multiply and divide
first you set up your numbers in fraction form…
[tex]\frac{16}{19} \frac{x}{100}[/tex]
now you multiply the two number you do have (16 and 100)…
[tex]16*100\\ 1600[/tex]
then divide by the other number that is known (19)…
1600÷19≈84.21
hope this helps!
The cost of an anti-virus software package is $65 for the first year and $10 for each annual renewal. If the independent variable is the number of annual renewals and the dependent variable is the total amount paid, what is the slope and y-intercept of the graph of the equation representing this situation?
Answers
Answer:
slope $10/renewaly-intercept $65Step-by-step explanation:
The slope is the cost of a renewal: $10.
The y-intercept is the initial cost: $65.
E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet
Answers
Answer:
6feet by 5feet by 4feet
7feet by 6feet by 4feet
8feet by 3feet by 7feet
pls help me pls help me pls help me
Answers
Answer:
d. 210
Step-by-step explanation:
well for the first textbook you have 7 options
for the 2nd placeholder you have 6 options
and the 3rd you have 5
so its 7x6x5 which is 210 different combinations
thx for 50 points :D
Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?
Answers
Answer:
A= L x W
A= 25.75 X 10.2
A= 262.65
Step-by-step explanation:
THE AREA OF KATHLEEN'S VEGETABLE GARDEN
Please I really really do need help like now please and thank you
Answers
6+8+12+10+6+4+10=56
A bag contains
80
balls.
The ratio of red to blue balls is
3
:
7
Find how many red and blue balls there are.
Answers
Answer:
24 red balls 56 blue balls
Step-by-step explanation:
We can use the ratio as percentages
30% of 80 is 24 red balls, and then we do 80-24=56 to calculate blue balls
Consider the equation 5/3v +4 + 1/3v = 8. What is the resulting equation after the first step in the equation?
Answers
Answer:
See below
Step-by-step explanation:
[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]
[tex]2v+4=8[/tex] <-- Resulting equation after first step
[tex]2v=4[/tex]
[tex]v=2[/tex] <-- Actual solution
huang 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which
expression represents the amount of change Huang should receive? Select three options.
100-(3)
100--12)
(100-12) - 3
(100-12)*x*)
100-x) - 12
Answers
Answer:
(100-12) - 3
Step-by-step explanation:
we dont know what the cost of the shirts are so that one should be it.
i keep this all day what is 6 + 6 × 6 + 6 ÷ 6=
Answers
Answer:
43
Step-by-step explanation:
6 + 6 × 6 + 6 ÷ 6
using BIDMAS, we do the division first
6÷6=1
then multiplication
6×6=36
leaving us with:
6+36+1=43
Hopefully this helped- have a good day)
Let's do
6+6×6+6÷66+36+17+3643Done!
how to find the length of a triangle with angles
Answers
Answer:
1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
2. In a right triangle, one of the angles has a value of 90 degrees.
3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.
Step-by-step explanation: