Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]
[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]
[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]
[tex] \frac{2(x - 5)}{x + 2} [/tex]
simplify the problem below:
u^n*u^n+1
Answer:
[tex]u^{2n+1}[/tex]
Step-by-step explanation:
Assuming you mean [tex]u^nu^{n+1}[/tex], then [tex]u^nu^{n+1}=u^{n+n+1}=u^{2n+1}[/tex].
Answer:
[tex]\Longrightarrow: \boxed{\sf{u^2^n+1}}[/tex]
Step-by-step explanation:
Solution:This equation can be solved simply by multiplying by the variable to isolate them on one side.
[tex]\Longrightarrow: \sf{u^n*u^n+1}[/tex]
[tex]\sf{u^n*u^n=u^2}\\\\\\\sf{= (u^2)^n}[/tex]
Solve.
[tex]\sf{\left(u^2\right)^n=u^{2n}=\boxed{\sf{u^{2n}+1}}[/tex]
Therefore, the final answer is [tex]\boxed{\sf{u^{2n}+1}}[/tex].
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
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.
this is timed so pls hurry! i'll mark brainliest
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272
Answer:
x is less than or equal to 272
Step-by-step explanation:
you can spend 272 but you can't go over 272.
(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
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]
Find the slope of the line that is parallel and perpendicular to the following equation.
2x - y = -2
Answer:
slope in parallel = 2
slope in perpendicular = [tex]\sf \bold{-\frac{1}{2} }[/tex]
y intercept = (0, 2)
Rewrite in slope intercept form:
slope intercept form: y = mx + b || where "m" is slope and "b" is y-intercept
2x - y = -2-y = -2 - 2xy = 2x + 2 ** identify m and b _ _ _ m = 2, b = 2 **y-intercept: 2 --- as "b" is [+2] then x will be always 0 at y-intercept
y-intercept coordinates: (0, 2)slope is same when parallel
slope in parallel = 2 --- as "m" is [+2]perpendicular slope is negative reciprocal of the parallel slope
m1 is the parallel slope and m2 is the perpendicular slopem1 * m2 = -12 * m2 = -1m2 = -1/2 --- this is the slope of perpendicular lineConvert to slope intercept form
2x-y=-2y=2x+2Slope:-
m=2Parallel lines have equal slope
Slope of the perpendicular line=-1/2
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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Please answer number 8. I need help, I don’t understand.
Answer:
A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.
Step-by-step explanation:
A bakery had 14 bran muffins, 19 banana muffins, and 23 pumpkin muffins left at the end
of the day. The leftover muffins were placed into boxes of assorted muffins. There were
8 muffins in each box. How many boxes of assorted muffins were there?
Determine if these statements are correct. Select True or False.
. To solve, add first, and then divide.
O True O False
To solve, divide first, and then add.
O True O False
There were 7 boxes of assorted muffins.
O True O False
There were 8 boxes of assorted muffins.
O True O False
This is a one-step division problem.
O True O False
Answer:
(I put the answers in bold)
To solve, add first, and then divide.
O True O False
To solve, divide first, and then add.
O True O False
There were 7 boxes of assorted muffins.
O True O False
There were 8 boxes of assorted muffins.
O True O False
This is a one-step division problem.
O True O False
Step-by-step explanation:
To get the answer I added all the numbers to get fifty-six and divided it by eight to get seven.
Which sentence is correct?
OA) -3 > 2
OB) -3 <-6
OC) -3>-8
OD) -3>-2
HELP IM BEING TIMED I WILL GIVE BRAINLIEST
Answer:
OC is correct
Step-by-step explanation:
The greater answer is always gonna be the closest one to zero on the number line.
Hopefully this helps!
x>-6 on a number line
Step-by-step explanation:
draw a number line and plot on 7 and make an arrow at the other end of the line
Will give Brainiest!
Find the ordered pair (s,t) that satisfies the system
s/2+5t=3
3t+6s=9
15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
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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mair of angles is classified in the same category according to the angle measure?
h
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.
PLEASE HELP WILL GIVE BRAINLIST HURRY PLS
Answer:
we know the trapezoids are similar, so that means all sides are at a ratio, thus
that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.
so for the large trapezoid
EF = 6 * 12 =... 72
EH = 4 * 12 =.. 48
HG = 3 * 12 = ..36
GF = 3 * 12 =...36
72+48+36+36 = 192.
Step-by-step explanation:
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!
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?
Radius ob measures x units. which expression represents the circumference of the smaller circle with radius oa? (startfraction pi over 3 endfraction)x units (startfraction 2 pi over 3 endfraction)x units 2πx units 6πx units
The circumference of the smaller circle is C = 2*pi*x/3.
We have given that radius ob measures x units
What is the formula for the circumference of the circle ?circumference of the circle is given by,
[tex]C = 2\times \pi \times R[/tex]
where pi = 3.14
R= radius
we have two circles, A and B, where B is the larger circle and A is the smaller circle.
We know that,The circumference of B is 3 times the circumference of A.
The radius of circle B is OB = x
The radius of circle A is OA
We want to find an expression of OA.
The circumference of circle B is given by
[tex]C(B) = 2\times \piOB = 2\times pi\times x[/tex]
The circumference of circle A is given by
[tex]C(A) = 2\times\pi\times OA[/tex]
we know that the circumference of circle B is 3 times the circumference of circle A,
[tex]C(B) = 3\times C(A)[/tex]
replacing the equations for the circumferences
[tex]2\times\pi\times x = 3\times (2\times pi\times OA)[/tex]
We have divide both sides by [tex]2\pi[/tex]we get:
[tex]x = 3\times OA[/tex]
Now we want to solve this for OA, then we need to isolate it,
[tex]x/3 = OA[/tex]
We can conclude that the radius of the smaller circle is equal to x/3.
Then the circumference of circle A is
[tex]C(A) = 2\times pi\times x/3[/tex]
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Answer:
c
Step-by-step explanation:
expressions equivalent to 2(1.5+2.5)-4
Answer:
I believe that the answer is 4
Find y.
Round to the nearest tenth:
290
500 ft
y
X
y = [ ? ]ft
Answer:
y = 242.4x = 437.3First find the inner angle:
90° - 29°61°[ given hypotenuse = 500 ft ]
using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]
[tex]\hookrightarrow \sf x=sin(61)*500[/tex]
[tex]\hookrightarrow \sf x=437.3[/tex]
using pythagoras theorem:
a² + b² = c²y² + (437.3)² = 500²y = √58760.1y = 242.4Answer:
y = 242.4 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°
Using the sine trig ratio:
[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 29°O = [tex]y[/tex]H = 500 ftSubstitute given values and solve for y:
[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]
[tex]\sf \implies y=500sin(29)[/tex]
[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]
A passenger train left new york and traveled north while a freight left from the same place, and the same time and traveled south. After traveling for 6 hours the traines were 720 miles apart. if the passenger train was traveling at 80mph, how fast was the freiht train traveling.
The freight train was traveling at 40 mph.
Let's use the formula for distance:
distance = rate x time
We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:
distance = distance traveled by passenger train + distance traveled by freight train
Since they started at the same time, the time traveled by both trains is the same, so we can write:
distance = 80 mph x time + rate of freight train x time
Using the given information, we can write:
720 = 80 x 6 + rate of freight train x 6
Simplifying:
720 = 480 + 6(rate of freight train)
240 = 6(rate of freight train)
rate of freight train = 40 mph
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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°
Juanita a talented artist. She makes and sells t-shirts showing her art work.
She bought a silk screen machine for $400. The materials to make each shirt
cost her $ 8.00. If she sells her shirts for $28, how many shirts must she sell to
make a profit?
Answer:
answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder
Step-by-step explanation:
answer is 436 I hope it helps
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.
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
12
Step-by-step explanation:
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = 12
Answer: 12
Answer:
12
Step-by-step explanation:
Using the Pythagorean theorem, we can use [tex]c^{2}-a^{2}[/tex] to find b. 169-25 equals 144. [tex]\sqrt{144}[/tex] equzls 12.
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is as below,
3wx + 3wy - 4zx - 4zy
In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,
3wx + 3wy - 4zx - 4zy
Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.
The factor form for (3wx + 3wy) is 3w(x + y).
And, for (- 4zx - 4zy) it is -4z(x + y).
Thus, the given expression can be written as,
3wx + 3wy - 4zx - 4zy
= 3w(x + y) - 4z(x + y)
Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).
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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
