Answer:
5(x +1.5)^210(x +1)^21/4(x +2)^23(x +5/6)^2Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
_____
Additional comment
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
PLEASE HELP
A group of friends wants to go to the amusement park. They have $272 to spend on parking and admission. Parking is $7.75, and tickets cost $37.75 per person, including tax. How many people can go to the amusement park?
Answer:
7 people
Step-by-step explanation:
Given:
$272 total money for all friends
parking costs $7.75 for all
tickets cost $37.75 per person
Solution;
Take away the money for parking to see how much money we have left for tickets
272 - 7.72 = $ 264.25
We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for
264.25 / 37.75 = 7
If we have money for 7 tickets then 7 friends can go to the amusement park.
a2 = 5 and d = 2. find a6
The athlete usually hits the target with a probability of 0.86. How many times would he hit the target if he did 50 shots?
PLAS HELP!!
For multiple-choice: cubic, quadratic, linear, quintic, quartic
Answer:
cubic3 termsconstant: -2leading term: 1/4x³leading coefficient: 1/4Step-by-step explanation:
The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.
__
The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).
"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."
Solve for the missing angles. Can somebody please help in stuck!
Answer:
A = C = 115°
B = 65°
D = E = 45°
Step-by-step explanation:
65° + C = 180° or 65° + A = 180°, They are supplementary angles that are linear pair that add up to 180°.
A = C = 115°
B° = 65° Vertical Angles meaning they are equal to each other.
D and E are equal to cheat other since the lines on the sides mean that are isosceles.
D + E + 90° = 180°
D + E = 90°
2x = 90
x = 45°
D = E = 45°
Gabby has a goal to finish covering the field before 12 hours have
elapsed. She will use any remaining time to water the field. After 1 hour
has elapsed, she has covered 4,000 square yards of the field.
Explain why Gabby will be able to meet her goal by working at this rate. As
part of the explanation, determine the amount of time, in hours, Gabby
will have to water the field.
Question 2
Which function is equivalent to f(x) = -5(x + 4)2 + 8?
F(x)=-5x2-40x-32
F(x)=-5x2+8x+88
F(x)=-5x2-40-72
F(x)=-5x2+8x+24
( the 2 is squared)
Step-by-step explanation:
-5(x + 4)² + 8 = -5(x² + 8x + 16) + 8 =
= -5x² - 40x - 80 + 8 = -5x² - 40x - 72
so, the third answer option must be correct, but you made a mistake there and forgot the "x" as factor of -40.
On the same coordinate plane, mark all points (x, y) that satisfy each rule.
y = -3 -X
The rule y = -3 - x is an illustration of a linear equation
The points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)
How to determine the points?The rule of the points is given as:
y = -3 - x
When x = 0, we have:
y = -3 - 0
y = -3
When x = 1, we have:
y = -3 - 1
y = -4
When x = 2, we have:
y = -3 - 2
y = -5
From the above computation, we have the following points
(0,-3), (1,-4) and (2,-5)
Hence, the points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)
Read more about coordinate planes at:
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I need this answered I’ll give brainliest
Answer:
x = 52
Step-by-step explanation:
49° is the vertical angle of the triangle.
-> measure of other angle of triangle = 49°
By exterior angle theorem:
x° + 49° = 101°
-> x° = 101° - 49°
-> x° = 52°
-> x = 52
Help with this please
Answer:
f(4)=-10
x=0
Step-by-step explanation:
which of the best following point best represent 106
Answer:
b
Step-by-step explanation:
i hope this helped
What is the domain of the relation, and is the relation a function?
{(0, 1), (2, 3), (5, 7)}
Answer:
Step-by-step explanation:
The domain is the set of x-values in the ordered pairs.
So it is {0, 2, 5}
Yes it is a function as for each x value there is 1 y-value (its a one-to-one function)
Give correct answer with good explanation. Please and thank you very much
Answer:
Step-by-step explanation:
V = B×H ⇒ H = V ÷ B
H = 729 ÷ 108 = 6.75 inches
Answer:
h = 6.75 inches
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
here V = 729 and A = 108 , then
108h = 729 ( divide both sides by 108 )
h = 6.75 inches
Use the GCF to factor 9x+54
9(x+6)
Solution:The GCF stands for Greatest Common Factor.We need to factor out the GCF of this binomial (expression with two terms)In order to factor out the GCF, we need to divide both terms by the GCF and place it outside the parentheses, like so:9x+549x÷9=x54÷9=6x+69(x+6)Hope it helps.
Do comment if you have any query.
Julia and her children went into a restaurant where they sell hamburgers for $7 each and tacos for $2.50 each. Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether. If xx represents the number of hamburgers purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
115.50
Step-by-step explanation:
you times and divide the numbersto get to yy
The one possible solution can be yy = 10 and xx = 5 .
What is inequality?Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.
According to the question
Julia and her children went into a restaurant where ,
hamburgers (xx)= $7 each
tacos (yy) = $2.50 each.
Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.
i.e, xx + yy ≥ 14 ----------------------------(1)
7xx + 2.5yy ≤ 60 ----------------------(2)
from equation (1) and (2) graph attached ...
solving both equation
multiplying equation (1) with -7
-7xx + -7yy ≤ -98 ----------------(3)
now adding equation (3) and (2)
-7xx + -7yy ≤ -98
7xx + 2.5yy ≤ 60
= - 4.5yy ≤ -38
= 4.5yy ≥38
= yy ≥ 8.4
now ,
yy xx
9 5.35
10 5
11 4.64
Hence, one possible solution can be yy = 10 and xx = 5
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Evaluate -2x^2-4x+3 when x=-2
Answer:
3
Step-by-step explanation:
A polynomial is sometimes easier to evaluate if it is first written in Horner form:
-2x^2 -4x +3 = (-2x -4)x +3
For x = -2, this is ...
(-2(-2) -4)(-2) +3 = 0(-2) +3 = 3
The value is 3 when x = -2.
There are 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. Marbles are replaced after each draw. What is the probability that the first marble drawn is red and the second marble drawn is green?
Answer:
[tex]\frac{16}{225}[/tex]
Step-by-step explanation:
When attempting probability problems we want to figure out the chances of something happening. This turns into something like:
[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]
In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.
Since we want to first draw a red marble the chance of that happening would be:
[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.
[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]
All that's left is to multipy the values we got:
[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]
That's our answer.
7x + 4 = 46 two step equation
7x + 4 = 46
7x = 46-4
7x = 42
x = 42/7
x = 6
THEREFORE, x = 6
HOPE IT HELPS :)
Josiah scored 22 points in his basketball game, including x 2-point baskets; y 3-point baskets, and z free throws, worth 1 point each. He made a total of 13 baskets, with three times as many 2-point baskets as 3-point baskets. Which system of equations represents this situation?
Answer:
X+y=23 (x and y added equal the number of baskets made)
2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)
Hope this helps!
(30 points! pls help) Determine the length of AB. Write your answer in simplest form. 5, 2, 10, x
Answer:
Try the a2 +b2=c2
Step-by-step explanation:
Try putting attention next time
Find the value of each variable. For the circle, the dot represents the center. find a,b,c, & d
pls answer fast
Answer:
Step-by-step explanation:
The values of angles are written below,
a° = 121°
b° = 53°
c° = 87°
d° = 72°
What is the angle of the chord?The Inscribed Angle Theorem: This theorem states that the measure of an inscribed angle in a circle is equal to half the measure of the intercepted arc.
In other words, if an angle is formed by two intersecting chords in a circle, the measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.
The values of angles are calculated as,
a = (2 x 108 ) - 9 5
a = 121°
b = 360 - ( 121 + 95 + 91 )
b = 53°
c = (121 + 53 ) / 2
c = 87°
d = ( 91 + 53 ) /2
d = 72°
Therefore, the values are a = 121°, b = 53°, c = 87°, and d = 72°.
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Find the additive inverse of 4x + 3 .
Answer:
-4x - 3
Step-by-step explanation:
4x + 3 + y = 0
y is additive inverse
y = -4x - 3
-4x - 3 + 4x + 3 = 0
0 = 0
cancels out
What are the roots of the quadratic equation y=x^2 -10x +125?
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
[tex]x=5\pm10i[/tex]
Step-by-step explanation:
[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]
you spin a spinner with 3 equal sections labeled blue, red, and purple, and it lands on purple. what is the theoretical probability?
what is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?
Answer: 45
Step-by-step explanation:
The Median is the Middle # in the set.
I hope this helps!
I’m confused I need this answered please
Answer:
30°
Step-by-step explanation:
145-115=30°
it is the answer
Answer:
30
Step-by-step explanation:
Since Angle FGH=FGJ+JGH, we can set the equation 145=115+x
[tex]145=115+x\\145-115=x\\30=x[/tex]
1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?
Answer:
The answer that makes sence to me is C (-3, 4)
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
14/10 or 1 2/5
Step-by-step explanation:
Hey there!
In order to simplify this expression, we need to add the numerators and not the denominator since they are the same
14/10 is what you will get or this is also 1 2/5
Answer:
A.
[tex]1 \frac{2}{5} [/tex]
Explanation:
6/10 + 8/ 10 = 7/5
[tex] \frac{6}{10} + \frac{8}{10} = \frac{6 + 8}{10} = \frac{14}{10} = \frac{7}{5} = 1 \frac{2}{5} [/tex]
hope this helps.
You want to get a pizza that costs $12.75. Tax
6%. How much will the pizza cost in all? Round
to the nearest cent.
Answer:
$13.52
Step-by-step explanation:
Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52
On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99. What was the average (mean) score for
these students?
Answer:
91
Step-by-step explanation:
If we add all of the student's scores we get 273. Because there are 3 students we divide 273 by 3 and we get 91 as the average.
