Answer:
60 degrees
Step-by-step explanation:
Answer:
75 degrees, 35 degrees
Step-by-step explanation:
a. Adding 25 degrees and 80 degrees yields 105 degrees. The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.
b. Adding 25 degrees and 120 degrees yields 145 degrees. The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.
Use the Factor Theorem to prove x^3 - 13x - 12 is divisible by x^2 – X – 12
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]x^3-13x-12\text{ is divisible by } x^2-x-12[/tex]
We can factor the divisor:
[tex]x^2-x-12=(x-4)(x+3)[/tex]
According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (x - a) and if P(a) = 0, then the binomial is a factor of P(x).
Our two binomial factors our (x - 4) and (x + 3). Thus, a = 4 and a = -3.
Evaluate the polynomial for both of these factors:
[tex]P(4)=(4)^3-13(4)-12=0[/tex]
And:
[tex]P(-3)=(-3)^3-13(-3)-12=0[/tex]
Since both yielded zero, the original polynomial is divisible by both (x - 4) and (x + 3) or x² - x - 12. Hence:
[tex]x^3-13x-12\text{ is indeed divisible by } x^2-x-12[/tex]
What is the equation of the graph ? ILL pay
Answer:
Step-by-step explanation:
You have it right it is 6^x -3
You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x
Find side b, in triangle ABC. if angle B =42 degrees, a=6, c=4
Answer:
There is no valid value for b
Step-by-step explanation:
We solve the above question using the law of cosines
b² = a² + c² - 2ac × Cos B
B = 42°, a = 6, c = 4
b² = 6² + 4² - 2 × 6 × 4 × Cos 42
b =√6² + 4² - 2 × 6 × 4 × Cos 42
b = √36 + 16 - 48 × Cos 42
Solving the above question, there is no valid value for b
What is the value of expression below when z=5? 5z−4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear
Answer:
T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
The given situation is linear equation in T and t. so option D is correct option.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
T = -t / 4 + T0
where t is the temperature in minutes elapsed.
T is the final temperature.
T0 is the initial temperature.
We need to find the type of model best fits the given situation.
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
Therefore, The given situation is linear equation in T and t. so option D is correct option.
Learn more about equations here;
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solve -5 < 2x+3 >= 7
Answer:
Step-by-step explanation:
so just solve this as if it's
-5= 2x+3
and
2x+3 = 7 ( be careful not to switch sides or the arrow switches too)
the the top equation looks like
-8=2x
-8/2 = x
-4 =x
the bottom equation looks like
2x = 4
x = 4/2
x = 2
now put it back together with the arrows in the same direction :) ( we don't have to worry about switching directions of the arrows b/c we didn't switch side, multiply or divide by a negative, so all good :P)
-4<x<=2
The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:
Answer:
y = -4x + 29
Step-by-step explanation:
-3 = -4(8) + b
-3 = -32+b
29=b
The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.
The equation from two points can be calculated through the following formula:
y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.
Putting the values of points and slope in the formula given above.
y-(-3)=-4(x-8)
y+3=-4(x-8)
y+3=-4x+32
y=-4x+32-3
y=-4x+29
Hence the equation is y=-4x+29 where slope is -4.
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Which of the following is not a real number?
Answer:
D
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
what is the equation of the following line (1,5) and (-1,-5) written in slope-intercept form
Answer: y = 5x
Step by step process: Use the slope form and then substitute in the equation y = mx + b.
A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard = 3 feet.
$54
$60
$810
$1,620
Answer:
$60
Step-by-step explanation:
The details given the in the question are;
The rate at which the landscape-supply company sells each cubic yard of mulch = $30 per cubic yard
The price the company charges for 54 cubic feet of mulch = Required
The factor for converting yard to feet is 1 yard = 3 feet
Therefore;
1 cubic yard = 1 yard × 1 yard × 1 yard = 3 feet × 3 feet × 3 feet = 27 cubic feet
∴ 2 cubic yard = 2 × 1 cubic yard = 2 × 27 cubic feet = 54 cubic feet
1 cubic yard = $30
∴ 2 cubic yard = 54 cubic feet = 2 × $30 = $60
What is the measure of m
The answer is 9 bc it must be longer than the base of the trianngle
The relationship between degrees Fahrenheit (F) and degrees Celcius (C) is given by the formula straight F space equals space 9 over 5 space C space plus space 32. What is the Celcius temperature when the Fahrenheit temperature is 41? Round answer to the nearest whole number. 55 5 -9 41 16
Answer:
[tex]C = 5[/tex]
Step-by-step explanation:
Given
[tex]F = \frac{9}{5}C + 32[/tex]
Required
Find C when [tex]F = 41[/tex]
We have:
[tex]F = \frac{9}{5}C + 32[/tex]
Substitute 41 for F
[tex]41 = \frac{9}{5}C + 32[/tex]
Collect like terms
[tex]\frac{9}{5}C = 41- 32[/tex]
[tex]\frac{9}{5}C = 9[/tex]
Multiply both sides by 5/9
[tex]C = 9 * \frac{5}{9}[/tex]
[tex]C = 5[/tex]
please help me! asap!!
Answer:
C
Step-by-step explanation:
if sectheta=13/12 and 270°<theta<360°, then tantheta=
Answer:
this should be 450° hahah sorry if I am wrong I don't know!
Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).
Answer:
9x³ - 2x - 3
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(6x³ - 8x - 5) + (3x³ + 6x + 2)
Step 2: Simplify
Combine like terms (x³): 9x³ - 8x - 5 + 6x + 2Combine like terms (x): 9x³ - 2x - 5 + 2Combine like terms: 9x³ - 2x - 3Suppose △ABC≅△LMN.
Which other congruency statements are correct?
Select each correct answer.
△BAC≅△MLN
△BCA≅△NML
△ACB≅△LNM
△CBA≅△M
if so then let's say just want to try am new MNL
Help me plz I don’t really understand geometry
Answer:
KI is congruent to WY
Step-by-step explanation:
SSS postulate that if three sides of a triangle are equal, so this means KI must be congruent to WY
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
Someone, please help me on this one
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms
= 6x³ - 3x² + 7x - 8
Answer:
D. (f + g )( x ) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Given :-
f ( x ) = 4x² + 7x - 3.g ( x ) = 6x³ - 7x² - 5.To Find :-
( f + g ) ( x ).Solution :-
(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.
Arranging like terms.
(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3
Combine like terms.
(f + g )( x ) = 6x³ - 3x² + 7x - 8
ASAP please help meeeeeeeeeee
Answer:
Step-by-step explanation:
1/16 + 1/2 = 1/16 + 8/16 = 9/16
Sarah earned 45 1/2 dollars in 5 3/4 minutes. What is the unit rate in dollars per
minute?
Answer:
7 21/23 dollars per minute
Step-by-step explanation:
Total amount Sarah earns = 45 1/2 dollars
Time taken to earn = 5 3/4 minutes
What is the unit rate in dollars per
minute?
unit rate in dollars per
minute = Total amount Sarah earns / Time taken to earn
= 45 1/2 ÷ 5 3/4
= 91/2 ÷ 23/4
= 91/2 × 4/23
= (91 * 4) / (2 * 23)
= 364/46
= 7 42/46
= 7 21/23 dollars per minute
unit rate in dollars per
minute = 7 21/23 dollars per minute
Identify the decay factor in the function. g(x)=100•(2/3)^x
Answer:
1/3
Step-by-step explanation:
There were some adults and children at the party. For every 3 adults, there 11 children. There were 32 more children than adults. How many adults were at the party?
Answer:
12 adults
Step-by-step explanation:
Given that :
Let :
Number of children = x
Number of adult = y
x = 32 + y - - - - - (1)
Ratio of adult to children
3 : 11
x = (11/3)y - - - (2)
Put x = 11/3y in (1)
(11/3)y = 32 + y
11y/3 - y = 32
(11y - 3y) / 3 = 32
11y - 3y = 32 * 3
8y = 96
y = 96/8
y = 12
Hence, number of adults = 12
FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP
QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes
Make x the subject of the formula y=4x²-2
Step-by-step explanation:
y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4hope it helps.stay safe healthy and happy....f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4
in which figure , AB || CD . determine x
☝︎☝︎☝︎☝︎☝︎
[tex]{\underline{\fcolorbox{White}{yellow}{ANSWER♥︎}}}[/tex]See the attachment☝︎☝︎☝︎....how do solve this problem
Answer:
vertically opposite angles are equal
3x+112°=5x+100°
112°-100°=5x-3x
12°=2x
12°÷2=2x÷2
6°=x
therefore x=6°
Step-by-step explanation:
hope this is helpful
Answer:
x = 6
Step-by-step explanation:
The 2 angles are vertically opposite and are congruent, so
5x + 100 = 3x + 112 ( subtract 3x from both sides )
2x + 100 = 112 ( subtract 100 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
SOMEONE HELP ME PLEASE
Answer:
0.6/7 is the answer.....
Answer:
what are the answer choices
Step-by-step explanation:
