m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b
Answer:
m,4+ a+b
Step-by-step explanation:
an exterior angle equals the sum of the 2 opposite interior angles
Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution
Answer:
Step-by-step explanation:
taking the inverse is essentially saying
x = (f(x) + 3)^2
root(x) - 3 = f(x) and -root(x) -3 = f(x)
(you have to take both the positive and negative roots)
plug in 49 for x and get 4 and -10.
The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4
What does the inverse notation f⁻¹(x) represents?The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)
The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;
Taking the square root of both sides of the equation, we get;
√(f(x)) = √((x + 3)²)
√(f(x)) = (x + 3)
Subtracting 3 from both sides, we get;
√(f(x)) - 3 = x + 3 - 3 = x
√(f(x)) - 3 = x
The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;
The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x
When the output value is f(x) = 49 we get;
f⁻¹(49) = √(49) - 3 = ±7 - 3
Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;
f⁻¹(49) = 7 - 3 = 4
f⁻¹(49) = 4
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5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).
A. 1/3
B. 3
C. 3/25x^2
D. 25x^2/3
i think its b Step-by-step explanation:
[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]
If f of x equals the quotient of the quantity x squared minus 36 and the quantity x plus 6 is continuous at x = -6, find f(-6).
Answer:
f(-6) = -12
Step-by-step explanation:
If you immediately plug in x=-6 and solve it (x^2-36)/x+6, you will not get the right answer.
You need to first expand the perfect square on the numerator (x^2-36) into (x-6)(x+6).
With the perfect square expanded, notice how you have the term (x+6) on both the numerator and denominator. You can cancel out both terms, and you will be left with (x-6).
Now you can plug in x=-6, which will give you -12.
2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39
3 rolls would cost $1.17.
What is Concept of Direct Proportion?There exists a direct proportion between two values when one exists as a multiple of the other.
In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.
If 7 rolls of tape cost $2.73,
Then 1 roll of tape would cost $2.73/7 = $0.39
Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17
Therefore, at same rate the 3 rolls of tape would cost $1.17.
To learn more about Direct Proportion refer to:
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pls help me both questions
with explanation sum
9514 1404 393
Answer:
3) x = 55, y = 123, z = 123
4) x = 276°
Step-by-step explanation:
3)Angles P and Q are alternate interior angles, so are congruent.
P = Q
3x -42° = 2x +13°
x = 55° . . . . . . . . . . . add 42°-2x
Then Q = 2x +13 = 2(55°) +13° = 123°.
Angles Y, P, Q, and Z are all congruent, so all have the same measure.
Y = Z = 123°
__
4)If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.
Large angle POQ is then 360° -84° = 276°
I’m practically begging someone please help me!!
Tony calculates that 3 cubic metres of concrete is enough for the path.
He decides to use a concrete mix which has:
cement = 1 part
sand = 2 parts
gravel = 3 parts
How many cubic metres of gravel does Tony need?
Answer:
Amount cubic metres of gravel need = 1.5 cubic meter
Step-by-step explanation:
Given:
Parts
cement = 1 part
sand = 2 parts
gravel = 3 parts
Find:
Amount cubic metres of gravel need
Computation:
Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]
Amount cubic metres of gravel need = 3[3 / (1+2+3)]
Amount cubic metres of gravel need = 3[3 / 6]
Amount cubic metres of gravel need = 3[0.5]
Amount cubic metres of gravel need = 1.5 cubic meter
Write the set of non-negative integers in the inequality 2x < 4.
Answer:
The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is
[tex]S = \{0, 1\}[/tex]
Step-by-step explanation:
The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]
For the inequality [tex]2x < 4[/tex], we have
[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]
Therefore,
[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]
Note: 2 is not included
The integers are
[tex]\ldots -2, -1, 0, 1[/tex]
And the non-negative integers are
[tex]0, 1[/tex]
help please i’ve been in here for hours oookung for answers
Answer:
f(x) = 3.33x - 7
Step-by-step explanation:
We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,
[tex]\rm\implies y = mx + c [/tex]
where ,
m is slopec is y intercept .Here we can see that the line is passing through (0,-7) . Therefore ,
[tex]\rm\implies y- intercept = -7[/tex]
Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,
[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]
Using Slope Intercept Form :-
[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]
The measure of two complementary angles are 2x degree and 3x degree, then value of x is
Answer:
2x+3x=90
or ,5x=90
or,x=90/5
X=18
Answer:
90/5=18 degrees
Step-by-step explanation:
Find the mean of first 5 prime numbers.
Answer:
5.6
Step-by-step explanation:
First five prime numbers:
[tex]2,3,5,7,11[/tex]
Add them up:
[tex]2+3+5+7+11=28[/tex]
Calculate the mean:
[tex]\frac{28}{5} =5.6[/tex]
Answer:
8.5
Step-by-step explanation:
We need to find the mean of first five prime numbers . We know that the first five prime numbers are ,
[tex]\sf\longrightarrow First \ 5 \ Prime\ numbers \ = 2, 3, 5 ,7,11 [/tex]
We know that mean is ,
[tex]\sf\longrightarrow Mean =\dfrac{Sum \ of \ observations}{Number\ of\ observations } [/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow Mean =\dfrac{ 2+3+5+7}{2}[/tex]
Add the numbers in numerator ,
[tex]\sf\longrightarrow Mean =\dfrac{ 17}{2} [/tex]
Divide ,
[tex]\sf\longrightarrow\boxed{\blue{\sf Mean = 8.5 }} [/tex]
Hence the mean is 8.5
Without plotting these numbers, decide which inequalities are true. Check all that apply.
Square root of 7 > 2
Square root of 7 <7
Square root of 7< square root of 8
Square root of 8<2
Square root of 8<8
Answer:
1st,2nd,3rd, and 5th option
Step-by-step explanation:
Let convert the intergers into radical numbers
[tex] \sqrt{7} > \sqrt{4} [/tex]
[tex] \sqrt{7} < \sqrt{49} [/tex]
[tex] \sqrt{7} < \sqrt{8} [/tex]
[tex] \sqrt{8 } < \sqrt{4} [/tex]
[tex] \sqrt{8} < \sqrt{64} [/tex]
As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,
The first option, Second Option, Third Option, and Fifth Option are true.
Answer:
A, B, C, E
Step-by-step explanation:
Did on edg. its right
Instructions: Find the missing side. Round your answer to the nearest
tenth.
58°
х
22
X=
Answer:
35.2
Step-by-step explanation:
tan(58) = x/22
or, x = 22×tan(58)
or, x = 35.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
Julie has 5.00 and wants to buy some glue at Walmart glue cost 4.25 how much will julie get back in change and you have to subtract a d slove problem
Answer:
read below vv
Step-by-step explanation:
d = 5.00 - 4.25
d = 0.75
Answer:
Julie will get back 0.75 in change.
Step-by-step explanation:
d=4.25
5.00-d => 5.00-4.25 = 0.75
Hope this answered your question!
What are the values of x and y? A) X= 9/2; y = 9 B) x = 1843 ; y= 983 C) x= 9; y = 983 OD) x= 913 ; y=9
Answer:
Y = 9
Cause the Sin30 = 0.5
and 9² + x² = 18²
324 - 81 = x²
x² = 243
x = 9 √3
The answer becomes "D"
Grade improvement and study motivation
Step-by-step explanation:
fng-mrxb-dop p.l.e.a.s.e join
please help !!!
12. JKL = ONM by SAS. Select one set of corresponding parts that could be marked congruent by CPCTC.
Answer:
D
Step-by-step explanation:
The statement of congruency shows which vertices are corresponding.
Answer: D
Let E= {prime numbers less than 30} Work out n(E)
Answer:
10
Step-by-step explanation:
E={2,3,5,7, 11, 13, 17, 19, 23, 29}
therefore,
n(E)={10}
Answer:
10 if I recall correctly
Please help me solve this
Answer:
The 2nd one is 3x+1
The 3rd answer is x+3
Step-by-step explanation:
Given g(x)=4x-1 and f(x)=x-2
Subtracting both
4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1
The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3
a handbag was purchased for Rs.280/- and sold for Rs.350/- calculate profit%
Answer:
profit is 25%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=350-280/280×100%
=0.25×100
=25%
what is the volume if the radius is 7m and the height is 9m.
subtract the following polynomial (4x+7)-(x+1)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{(4x+7)-(x+1) }[/tex] [tex]\sf{4x+7-x-1 }[/tex] [tex]\sf{4x-x+7-1 }[/tex] [tex]\sf{3x+6 }[/tex]Instructions: Point T is the centroid. Find TE if XE= 21.
Answer:
TE = 7
Step-by-step explanation:
The centroid divides a median in this ratios 1/3 and 2/3. In particular
XT = 2/3 XE
XT = 2/3 * 21
XT = 14
TE = 7
Find the absolute value
[5] = ________
Answer:
5
Step-by-step explanation:
the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.
If I had to write 2 pages a day, how long would it take me to write 300 pages?
Time required for writing 2 pages = 1 day
So, time required for writing 1 pages
= 1 day/2
= ½ day
So, time required for writing 300 pages
= ½ day × 300
= (300/2) days
= 150 days
Answer:
150 days
Step-by-step explanation:
We can write a ratio to solve
2 pages 300 pages
----------- = ------------
1 day x days
Using cross products
2x = 300
Divide by 2
2x/2 = 300/2
x = 150
150 days
could you tell me how
to do pls
Answer:
f) 60+x+30=180°
90+x=180°
x=180-90
x=90°
g) y+35+75=180°
y+110=180
y=180-110
y=70°
Find the slope
of the line passing through the points (3, 4)
and
(8, -3).
Answer:
-7/5
Step-by-step explanation:
I think let me know
Answer:
7/-5 or -7/5
Step-by-step explanation:
This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)
We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula
(3,4). (8,-3)
x1,y1 x2,y2
Slope Formula:
y1 - y2
x1 - x2
Inputting the values:
4 - (-3)
3 - 8
Solve:
7
-5
The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?
Answer:
Pam: $181
Amanda: $362
Julie: $452
Step-by-step explanation:
(What does Mike have to do with this problem?)
Let a = Amanda's pay
Let p = Pam's pay
Let j = Julie's pay
"Amanda made twice what Pam earned"
a = 2p
"Julie made $90 more than Amanda"
j = a + 90
j = 2p + 90
Pam earned p
Total salary
a + p + j = 2p + p + 2p + 90
Total salary
$995
2p + p + 2p + 90 = 995
5p = 905
p = 181
a = 2p = 2(181) = 362
j = 2p + 90 = 362 + 90 = 452
Answer:
Pam: $181
Amanda: $362
Julie: $452
CA Geometry A Illuminate Credit 4 FF.pdf
all 4 pls
Answer:
1) HL=LJ=63
(ZJ)²=16²+63²
(ZJ)²=256+3969
ZJ=√4425
ZJ= 65
2)HJ=HL+LJ
= 63+63
HJ=126
3) XC=XA=8
4) BE=AB/2=20/2=10
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