Answer:
-17x2 - 14x + 10
————————————————
2
Step-by-step explanation:
STEP
1
:
25
Simplify ——
2
Equation at the end of step
1
:
25
(((4•(x2))-(——•x2))-7x)+5
2
STEP
2
:
Equation at the end of step 2
25x2
(((4 • (x2)) - ————) - 7x) + 5
2
STEP
3
:
Equation at the end of step
3
:
25x2
((22x2 - ————) - 7x) + 5
2
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
22x2 22x2 • 2
22x2 = ———— = ————————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
22x2 • 2 - (25x2) -17x2
————————————————— = —————
2 2
Equation at the end of step
4
:
-17x2
(————— - 7x) + 5
2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
7x 7x • 2
7x = —— = ——————
1 2
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
-17x2 - (7x • 2) -17x2 - 14x
———————————————— = ———————————
2 2
Equation at the end of step
5
:
(-17x2 - 14x)
————————————— + 5
2
STEP
6
:
Rewriting the whole as an Equivalent Fraction :
6.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
5 5 • 2
5 = — = —————
1 2
STEP
7
:
Pulling out like terms :
7.1 Pull out like factors :
-17x2 - 14x = -x • (17x + 14)
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
-x • (17x+14) + 5 • 2 -17x2 - 14x + 10
————————————————————— = ————————————————
2 2
STEP
8
:
Pulling out like terms :
8.1 Pull out like factors :
-17x2 - 14x + 10 = -1 • (17x2 + 14x - 10)
Trying to factor by splitting the middle term
8.2 Factoring 17x2 + 14x - 10
The first term is, 17x2 its coefficient is 17 .
The middle term is, +14x its coefficient is 14 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 17 • -10 = -170
Step-2 : Find two factors of -170 whose sum equals the coefficient of the middle term, which is 14 .
-170 + 1 = -169
-85 + 2 = -83
-34 + 5 = -29
-17 + 10 = -7
-10 + 17 = 7
-5 + 34 = 29
-2 + 85 = 83
-1 + 170 = 169
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-17x2 - 14x + 10
————————————————
2
yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson has left after x days?
Answer:
30-2x
Step-by-step explanation:
yuson has to finish am total of 30 hours in community service
she does 2 hours each day
in x days, hour of service done=2x
after x days hours of service left=30-2x
therefore the linear equation representing the hours yuson has left after x days is:
30-2x
The grade of a road is the ratio of its rise to its run and is usually given as a decimal or percent. Find the angle that this road makes with the horizontal ground if its grade is 14% (14/100 or 0.14)
Answer:
the angle would be 1/2 i did this problem before and got it correct
Step-by-step explanation:
For the line above, what is the slope? *
Answer:
1
Step-by-step explanation:
Find the rise over run
Rise = 3
Run = 3
3/3 = 1
Slope = 1
Answer:
1
Step-by-step explanation:
First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1
Hope this helps
Pls help easy points question On the photo
Ay man somebody find x for me (trig)
Answer:
Step-by-step explanation:
8.
[tex]\frac{42}x=tan 28\\\frac{x}{42}=cot 28\\x=42 cot 28=42 cot (90-62)=42 tan 62 \approx 78.99[/tex]
9.
[tex]\frac{x}{8}=cot 28=cot(90-62)=tan 62 \\x=8 tan 62 \approx 15.05[/tex]
WILL MARK BRAINLIEST HELP PLEASE
Answer:
7.) m = 1/3 ; b = -2.5
8.) m = 2 ; b = 2
Step-by-step explanation:
For m, either do the rise over run method or use 2 points and do (y2-y1)/(x2-x1).
For b, just look at the y-intercept/where it crosses the y axis
I believe those are the right answers but not too sure because the numbers on the graph are a bit blurry so i just assumed it counted by ones.
Lines s and t are parallel. The slope of line s is −3/2 . What is the slope of line t ?
Parallel lines have the same slopes.
So if line s has a slope of -3/2, line t also has a slope of -3/2.
Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate
-24x^3y^2+16xy^3+12y^3
Answer:
4y^2 x (6x^3 - 4xy - 3y)
Step-by-step explanation:
Factor out -4y^2 from the expression
9. A = Pe (rt) is the formula to calculate continuously compounded interest
O True
O False
Two students measure the angle between the ground and the top of a flagpole at a distance of 30 feet from the base of flagpole, as shown in the diagram. Which equation could be used to find the height of the flagpole?
WILL GIVE BRAINLIEST
Answer: tan(65) = x/ 30
Step-by-step explanation: i took the quiz
The equation could be used to find the height of the flagpole is
tan 65= x/ 30.
What is Trigonometry?The study of triangles' relationships to their angles, lengths, and heights is known as trigonometry. In particular for right-angled triangles, it includes ratios, functions, identities, and formulas to solve issues based on it.
Given:
Base= 30 feet
Angle = 65
Using Trigonometry
tan 65 = P / B
P = B (tan 65)
P = 30 ( tan 65)
or, x= 30 tan 65
Learn more about Trigonometry here:
https://brainly.com/question/29125176
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Please help asap it's pretty easy!!! Explain I will give brainliest if right!
Answer:
ABC
Step-by-step explanation:
A, B, C, and D are four points in a circle. AC and BD intersect at a point E such that angle BEC = 130° and angle ECD = 20°. Find BAC
Answer:
30
Step-by-step explanation:
180 - 130 = 50 - 20 = 30 so only 30 can come hope it helps
R(-2,8) S(10,6) midpoint
Answer:
M = (4,7)
Step-by-step explanation:
If points are (x₁,y₁) and (x₂,y₂), then the midpoints are given by :
[tex]M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
We have,
x₁ = -2, y₁ = 8, x₂ = 10 and y₂ = 6
So,
[tex]M=(\dfrac{-2+10}{2},\dfrac{8+6}{2})\\\\=(\dfrac{8}{2},\dfrac{14}{2})\\\\=(4,7)[/tex]
So, the midpoints of the given points are (4,7).
what type of angle is ABC help
Answer:
it is a right angle
Step-by-step explanation:
25+65=90
90 degrees is a right angle
PLEASE HELP! I WILL GIVE BRAINLIEST!
Which expression better represents the amount of money being subtracted?
Answer:
2.25-1.75=.50
Find the angle measure that of each missing angle
Step-by-step explanation:
122+v=180
v=180-122
v=58
w+61=180
w=180-61
w=119
61+58+y=180
119+y=180
y=180-119
y=61
61+x=180
x=180-61
x=119
j=180
find domain and range of x²-9/x-3
Answer:
Step-by-step explanation: hope this helps :)
DOMAIN: (-INFINITY,0)
RANGE:(-INIFINITY,INFINITY)
Given a circle with the radius of 9.42ft. Find the circumference of this circle.
Answer:
C≈59.19
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️
Answer:
Roughly 59.2 feet
Step-by-step explanation:
Since there is already and answer, I want to go more in depth and explain how to get that answer.
The formula for the circumference of a circle is 2*pi*r
Plug in what we are given...
2*pi*9.42
18.84*pi
59.187, or 59.2 feet
Suppose y varies directly as x, and y =16 when x=8. Find y when x=5
Answer:
y is 10 when x is 5
Step-by-step explanation:
x is always half of y, based on this we need to multiply x by 2 y is 10
Answer:
the answer is
{153}⅚⅞²±(2)9
Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b2 + 3.5a + 8.4b d b2 + 10.8a + 8b
Answer:
b²+3.5a+8.4b
Step-by-step explanation:
Given the expression
3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2
Expand
3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2
Collect the like terms
= 3b²-2b²+2a+1.5a+10.8b-2.4b
= b²+3.5a+8.4b
Hence the equivalent expression is b²+3.5a+8.4b
The reason why the deaths and recoveries occurs so rapidly in the pandemic
Answer:
As time goes by the virus expands, and evolves causing more people to get infected. Although people who have made it before when the virus had affected them do not get affected by the evolved virus. People who have weak immune systems when infected die. Therefore, the reason thatthe deaths and recoveries happen to rappidly is because of the virus evolving, when some people are able to withstand it whilst others die.
Hope this helped.
Divide x^2+7x+12 by x+3 using long division
Probably really annoying well please please please please please please help me
Answer:
What are the top 2 angle measures? i need it to answer.
a=80 (assuming the other 2 angle in that triangle are 55 and 45)
b=80 adjacent angles are equal
c=48
Find the area of the regular shape in squared units
I WILL GIVE YOU BRAINLIEST IF SOMEONE ANSWERS THIS QUESTION!!!!!
Answer:
I say Mean.
Step-by-step explanation:
Mean (Average): 23
Mode(most common): 21
Median(Middle): 21
Please help! Will mark brainliest if correct! Worth 20 points!
Use vertex (h, k) and a table of values g(x) = 2 * (x - 2) ^ 2 + 5
Step-by-step explanation:
Since the equation is in vertex form: a(x - h)² + k, we immediately know that the vertex is at (2, 5).
x | y
0 | 13
1 | 7
2 | 5
3 | 7
4 | 13
Answer:
Step-by-step explanation:
Comparing the given g(x) = 2(x - 2) ^ 2 + 5 to h(x) = a(x - h)^2 + k, we see that h = 2, k = 5, a = 2. Thus, the vertex is at (2,5). Several sample points on this graph are:
x y = g(x) (x, y)
2 5 (2, 5)
0 2(0-2)^2)+ 5 (0, 13)
1 2(1-2)^2 + 5 (1, 7)
3 2(3-2)^2 + 5 (3, 7)
and so on. Plot these are several more points and then draw a smooth curve through them. The graph will be a parabola with vertex (2, 5) that opens up.
Find the value of x.
Answer:
x=68
Step-by-step explanation:
A²+b²=C²
side a:60²=3600
side b:32²=1024
3600+1024=4624
side c=√4624=68
3x+y=-9
Y=5x+7
Solve the system of linear equations by substitution
Answer:
x=-2
Step-by-step explanation:
Substitute y=5x+7 into the equation 3x+y=-9
So you will have, 3x+5x+7=-9
3x+5x=8x
8x+7=-9
8x+7-7=-9-7
8x=-16
x=-2