Answer:
6x-5 if x<5
Step-by-step explanation:
If x<5, then x-5<0.
If x-5 is negative, then |x-5)=-(x-5) or -x+5.
5x - |x - 5|
5x-(-x+5) provided x<5
5x+x-5 by distributive property
6x-5 combined liked terms
I NEEDDDD D HELPPPPP!!!
Answer:
70 degrees
Step-by-step explanation:
there are multiple ways, as all the trigonometric functions are related.
let's try it this way :
consider the missing side to be the radius of a circle.
then 41 would be the cos value of the angle (multiplied by that radius, of course).
so, let's calculate the missing side per Pythagoras
c² = a² + b² = 113² + 41² = 12769 + 1681 = 14450
c = 120.21
and now
41 = cos(?) × 120.21
cos(?) = 41/120.21 = 0.341...
? = 70.0576... ≈ 70 degrees
Answer:
70°
Step-by-step explanation:
tangent θ = (opposite side / adjacent side)
tangent θ = (113 / 41)
θ = arctan (113 / 41)
θ = 70.0576°
*Note: "arctan" is the same as "inverse tangent"
**Note: "soh-cah-toa" (and "cho-sha-cao" for sec, csc, & cot) is an easy mnemonic device to remember the trig functions (sin, cos, & tan) and their relations to the sides of a given angle.
guys, please help i can't move on
Answer:
15
Step-by-step explanation:
32-19 = 13 that have both
70-57= 13 that have both again from that sample
total number of people that have both : 13 + 13 = 26
11 kids don't have either one, so :
26-11 = 15
You have 80$ panted cost 29$ And shirts cost 12$. Mom told you to buy one pair of pants and use the rest of the money to buy shirts. Use this information to write and solve and inequality how many shirts can you buy
Answer: 4 Shirts
Step-by-step explanation:
Given
Person has [tex]\$80[/tex]
Pant costs [tex]\$29[/tex] and shirt costs [tex]\$12[/tex]
Suppose [tex]x\ \text{and}\ y[/tex] as number of pant and shirts
Spent money must be equal or less than the total money. The inequality becomes
[tex]\Rightarrow 80\geq29x+12y[/tex]
For 1 pair of pants that is, 1 pants
[tex]\Rightarrow 80\geq 29+12y\\\Rightarrow 51\geq 12y\\\Rightarrow 4.25\geq y[/tex]
That is maximum number of shirts that can be bought are 4.
Question 8 of 49
Which definition best describes skew lines?
O A. Lines that intersect at a right angle
O B. Lines that intersect
O C. Lines that do not intersect and are not in the same plane
O D. Lines that do not intersect and are in the same plane
Which shows one way
to determine the factors of x3 - 12x2 - 2x + 24 by grouping?
Answer:
[tex]x^3 - 12x^2 - 2x + 24[/tex]
[tex]x^2(x - 12) - 2(x -12)[/tex]
[tex](x - 12)(x^2 -2)[/tex]
Step-by-step explanation:
Answer:
[tex](x^2-2)(x-12)=0[/tex]
Step-by-step explanation:
Factoring by grouping is a way of determining the factors of a polynomial equation. One firsts groups terms by putting them in parenthesis. Then one will take a common factor out of the parenthesis. Finally, one will group the coefficients and the grouped terms respectively, thus rewriting the polynomial equation as the product of its factors.
One is given the following equation:
[tex]x^3-12x^2-2x+24=0[/tex]
Group the different terms in the equation:
[tex](x^3-12x^2)+(-2x+24)=0[/tex]
Factor, write a common factor that both terms in the parenthesis share, outside of the parenthesis.
[tex]x^2(x-12)-2(x-12)=0[/tex]
Factor the equation again. Group the like terms together, and the coefficients together.
[tex](x^2-2)(x-12)=0[/tex]
please help with this problem!
Answer:
Second option
Step-by-step explanation:
Let's assume that x is 1 and y is 3
a) [tex]\frac{1}{2}[/tex] < [tex]\frac{3}{2}[/tex] = true
b) -1 < -3 = false
c) 1+2 < 3+2 = true
d) 2 x 1 < 2 x 3 = true
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = 3/4x
h(x) = 1/4x
Answer:
Let the inverse of f(x) be h(x):
[tex]{ \tt{h(x) = \frac{1}{4x} }}[/tex]
HELP ME ASAP PLEASEEEEEEEE
Answer:
5 : -1.5
10: -4
y = 1 -.5x
noticed the pattern of subtracting .5 .... then plugged in x = 4
and saw that -2 had to be combined with "1" to end up with a "-1"
Step-by-step explanation:
PERE
Given: ZABC is a right angle and ZDEF is a right angle.
Prove: All right angles are congruent by showing that ZABC = ZDEF.
What are the missing reasons in the steps of the proof?
ZABC, ZDEF are
right angles
M2ABC = 90°
m2DEF = 90°
m2ABC = m_DEF
ZABC = ZDEF
Given
A
B
A:
B:
C:
Intro
Answers:
A) Definition of right anglesB) SubstitutionC) Definition of congruence=========================================
Explanation:
A) The term "right angle" is another way of saying "90 degree angle". This is a definition. Think of a definition in a dictionary. B) The substitution property allows us to replace one thing for another, as long as the two things are equal. The transitive property works as a similar idea.C) If two angles have the same measure, then they are congruent. This is the definition of congruence (or one form of it).In this exercise we have to use the knowledge of angles, in this way we can say that:
A) Right angles
B) Substitution
C) Congruence
So punctuating some necessary definitions we have that:
A) This alternative is a right angle, that is, an angle that has 90 degrees.
B) The substitution property allows us to replace one thing for another, as long as the two things are equal.
C) IIn this alternative, we are dealing with congruent angles, that is, angles that have the same measure, normally less than 90 degrees.
See more about angles at brainly.com/question/15767203
Draw a plane, showing the three (non-linear) points that define it.
Draw a plane, showing the three (non-linear) points that define it.[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
Given: `bar(DE)` and `bar(DF)` are midsegments of `Delta` ABC as shown. Prove: A midsegment of `Delta`ABC is half the length of the side of `Delta`ABC to which it is parallel. Match each statement to its corresponding reason. Scroll down to see all the choices. Drag the items on the left to the correct location on the right.
Answer:
here
Step-by-step explanation:
Which is the correct form of the partial fraction decomposition for the expression StartFraction 4 x cubed + 3 x squared Over (x + 1) squared (x squared + 7) squared EndFraction?
Given:
The expression is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
To find:
The correct form of the partial fraction decomposition for the given expression.
Solution:
We have,
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
By partial fraction decomposition, it can be written as:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{A}{x+1}+\dfrac{B}{(x+1)^2}+\dfrac{Cx+D}{x^2+7}[/tex] ...(i)
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B}{(x+1)^2(x^2+7)}[/tex]
[tex]4x^3+3x^2=(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B[/tex]
[tex]4x^3+3x^2=x^3A+x^3C+x^2A+x^2B+2x^2C+x^2D+7xA+xC+2xD+7A+7B+D[/tex]
[tex]4x^3+3x^2=x^3(A+C)+x^2(A+B+2C+D)+x(7A+C+2D)+7A+7B+D[/tex]
On comparing both sides, we get
[tex]A+C=4[/tex]
[tex]A+B+2C+D=3[/tex]
[tex]7A+C+2D=0[/tex]
[tex]7A+7B+D=0[/tex]
On solving these equations, we get
[tex]A=\dfrac{23}{32},B=-\dfrac{1}{8},C=\dfrac{105}{32},D=-\dfrac{133}{32}[/tex]
Substituting these values in (i), we get
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Therefore, the required partial fraction decomposition is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Answer:
A on Edg
Step-by-step explanation:
got it right
Enter the equation of the line in slope-intercept form.
Slope is 4, and (5,2) is on the line.
The equation of the line is y =
Answer:
y = 4x -18
Step-by-step explanation:
y-2 = 4(x-5)
y = 4x -20+2
y = 4x -18
Answer:
y = 4x-18
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point in the equation and solve for b
2 = 4(5)+b
2 = 20+b
2-20 = b
-18 =b
y = 4x-18
In Owen's class, there are 15 girls and 12 boys. Write the ratio of boys to girls.
Answer:
4 : 5
Step-by-step explanation:
boys : girls
12 15
Divide each by 3
12/3 : 15/3
4 : 5
Answer: 4:5
Step-by-step explanation:
To simplify the ratio 12:15, divide both numbers by the GCF of the 2 numbers (3). This gives you the simplified ratio, 4:5.
In 1993 eggs cost $0.87 a dozen. In 2003 it cost $1.56 a dozen. How much did the eggs appreciate (percent of increase)?
Show your work.
Answer:
190%
Step-by-step explanation:
$1.56 is close to nearly 2x the value of $0.87
You can start by multiplying $0.87 by 2 to get $1.74
Now put $1.56 / $1.74
This gets you 0.89655172
By rounding this, you can get to 0.90
Move the decimal places two spots over to get a percentage = 90%
Since the eggs didn't decrease in value, you can add the 100% from the beginning of the problem.
100+90=190%
Ryan rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 74 cents for each mile driven. Ryan had to pay $133.17 when he returned the truck. For how many miles did he drive the truck?
Answer:
157 miles
Step-by-step explanation:
total cost = flat fee + cost per mile * miles
133.17 = 16.99 + .74 * m
Subtract 16.99 from each side
116.18 = .74m
Divide each side by .74
116.18 / .74 = .74m/.74
157 = m
Find the value of x given in the right triangle
Answer:
44.4
Step-by-step explanation:
Using SOH
sin(x)=7/10
x= 44.427
Answer:
x ≈ 44.4°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{10}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{7}{10}[/tex] ) ≈ 44.4° ( to the nearest tenth )
plzzz helppp i need to pass this classs
Answer:
C
Step-by-step explanation:
x + 40 + 100 + x=360. (sum of angles at a point)
2x+140=360
2x=360-140
2x=220
x=220/2
x=110⁰
The cars of a circular Ferris wheel at an amusement park are equally spaced about the wheel's circumference. They are numbered consecutively beginning with 1. The cars numbered 14 and 30 lie on opposite ends of a diameter. How many cars are on the Ferris wheel?
Answer:
32 cars
Step-by-step explanation:
we know that 14 and 30 lie on opposite sides of the ferris wheel, so we need to calculate how many cars are inbetween car number 14 and carn number 30. since each car is numbered starting from 1, we know that the cars do not skip any numbers. after counting, we know that there are 16 cars inbetween car number 14 and car number 30. since there are 2 sides of a circle we have to double our number by 2. so 16×2 is 32
Math step-by-step:
30-14=16
16×2=32
Someone, PLEASE HELP! ):
Answer:
i dont see anything
Step-by-step explanation:
What is 20% of 10% of 1000
Answer:
20% of 10% of 1000 = 20
Step-by-step explanation:
Now we have to,
→ find the 20% of 10% of 1000.
Let's find 10% of 1000,
→ (10/100) × 1000
→ 0.1 × 1000
→ 100
Then 20% of 10% of 1000 is,
→ (20/100) × 100
→ 0.2 × 100
→ 20
Hence, the answer is 20.
Match each cone's measures to its corresponding volume.
Answer:
base area=16π in² height=6 in ⇒ base area= πr²
16π²=π(r)²
r=4 in
v=1/3 ×π (4)²×(6)
v=32π in²
-------------
v=1/3 π(12/2)²×5
v=1/3π(31)×5=
v=60π in³
-------------
v=1/3 π×(25×4)=
v=100π/3 in³
OAmalOHopeO
A train leaves zurich at 2240 and arrives in vienna at 07 32 the next day workout out the time the train takes
Answer:
Total time taken by train = 8 hour 32 minutes
Step-by-step explanation:
Given:
Time train leave Zurich = 22:40 min
Time train arrives in Vienna = 07:32
Find:
Total time taken by train
Computation:
Total time taken by train = [23:60 - 22:40] + 7:32
Total time taken by train = 1:20 + 7:32
Total time taken by train = 8:52
Total time taken by train = 8 hour 32 minutes
CANNNN SOMEONEEEEE HELPPPP MEEE OUTTTTT !!!!!
Answer:
sin X = 21/ 29
Step-by-step explanation:
Since this is a right triangle
sin X = opp side/ hypotenuse
sin X = 21/ 29
Answer:
[tex]\boxed{\sf sinX =\frac{21}{29}}[/tex]
Step-by-step explanation:
We need to find out the value of sinX using the given triangle . Here we can see that the sides of the triangle are 21 , 29 and 20.
We know that the ratio of sine is perpendicular to hypontenuse .
[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]
Here we can see that the side opposite to angle X is 21 , therefore the perpendicular of the triangle is 21. And the side opposite to 90° angle is 29 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow sinX =\dfrac{ p}{h}=\dfrac{ZY}{ZX}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ X =\dfrac{21}{29}}}[/tex]
Hence the required answer is 21/29 .
an object in geometry with no width, lengh or height is a(n):
Answer:
A point.
Step-by-step explanation:
An object in geometry that has width, length or height is simply a point. A point is yet just a dot.
Mr. James asked his students that which of the following equations can be formed using the expression x = 5:
a)2 x + 3 = 13
b)3x + 2 = 13
c)x –5 =
1d)4x –9 = 21
Answer:
[tex]2x + 3 = 13 \\ 2 \times 5 + 3 = 15 \\ 10 + 13 = 15 \\ 23 = 15 \\ 23 - 15 = 8 \\ \\ 3x + 2 = 13 \\ 3 \times 5 + 2 = 13 \\ 15 + 2 = 13 \\ 17 - 13 \\ = 4 \\ \\ x - 5 = 0 \\ 5 - 5 = 0 \\ 0 = 0 \\ \\ 4x - 9 = 21 \\ 4 \times 5 - 9 = 21 \\ 20 - 9 = 21 \\ 21 - 11 \\ = 10[/tex]
Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula. we get
[tex]\dfrac{9-5}{-5-(-7)}=2[/tex]
[tex]\dfrac{13-9}{-3-(-5)}=2[/tex]
[tex]\dfrac{17-13}{-1-(-3)}=2[/tex]
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=2(x-(-7))[/tex]
[tex]y-5=2(x+7)[/tex]
[tex]y-5=2x+14[/tex]
Adding 5 on both sides, we get
[tex]y-5+5=2x+14+5[/tex]
[tex]y=2x+19[/tex]
Therefore, the equation for the given data is [tex]y=2x+19[/tex].
(2x-3)(x-4)(3x-1)
How do u get the 35x2 and 47x?
Answer:
70 x 47x = 3290
.
. . . . . . . . . . ........
Answer: 6x^3-35x^2+47x-12
Step-by-step explanation:
(2x-3)(x-4)(3x-1)
=(2x^2-11x+12)(3x-1)
=6x^3-35x^2+47x-12
If ABCD is dilated by a factor of 2, the
coordinate of A' would be:
Answer: -5, -1
Step-by-step explanation:
Which of the following steps is involved in solving 3 x plus 8 equals 14 ?
A. 3 x plus 8 minus 8 equals 14
B. 3 x plus 8 equals 14 minus 8
C. 3 x plus 8 plus 8 equals 14 plus 8
D. 3 x plus 8 minus 8 equals 14 minus 8
Answer:
3 x plus 8 minus 8 equals 14 minus 8
Step-by-step explanation:
3x+8 = 14
Step 1 subtract 8 from each side
3x+8-8 = 14-8
