Graph the function
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the line is a / shape, so the slope is positive)
(the line crosses the y axis at (0,-2))
(using the above information, we can conclude that the equation is y=2x-2)
or
slope = m = rise/run = 2/1 = 2
y=mx+b
y=2x+b
Choose any point on the line) (1,0)
0=2(1)+b
b=-2
y=2x-2
Find m so that the equation msin²x+cos²x=m-1 has a solution on the interval (0;π/4)
msin²x+cos²x=m-1
since the interval are 0 and π/4
Therefore
msin²(0)+cos²(0)=m-1
m(0)+1=m-1
1=m-1
m=2
use π/4 now
msin²(π/4)+cos²(π/4)=m-1
m(1/2)+(1/2)=m-1
m+1=2(m-1)
m+1=2m-2
-m=-3
m=3
Therefore
m=2 or 3
Kenya solved the equation below. Negative 6 (x minus 2) + 3 x = negative 3 (x + 3) + 21 What is the solution to Kenya's equation? –4 12 no solution infinitely many solutions
Answer: No solution
Step-by-step explanation:
-6(x - 2) + 3x = -3(x + 3) + 21
-6x + 12 + 3x = -3x - 9 + 21
Collect like terms
-6x + 3x + 3x = -9 + 21 - 12
-6x + 6x = - 9 + 9
0 = 0
In this scenario, it can be deduced that there is no solution to Kenya's equation.
Answer:
infinitely many solutions
Step-by-step explanation:
i got it right
X^4+x^3-6x^2-14x-12=0 Make a list of possible rational roots. Test the possible roots until you find one that produces a remainder of 0 Write the resulting cubic function. Use synthetic division to find a second root that will reduce the cubic expression to a quadratic expression
Step-by-step explanation:
The Rational Roots Test states that for a polynomial with integer coefficients, the factors of the constant / the factors of the leading coefficient are the possible rational roots.
Here, the constant (the value without an x attached to it) is -12 and the leading coefficient (the value that the x to the highest degree is multiplied by) is 1 as x⁴ is multiplied by 1. The factors of -12 are
±(1, 2, 3, 4, 6, 12), so the possible rational roots are ±(1, 2, 3, 4, 6, 12)/1 (as 1 is the only factor of 1).
Trying out a few roots until we get one that works using synthetic division, we can try
x+1 (the root is x=-1)
-1 | 1 1 -6 -14 -12
| -1 0 6 8
__________________________
1 0 -6 -8 -4
the remainder is -4, so this does not work
x+2 (the root is x=-2)
-2 | 1 1 -6 -14 -12
| -2 2 8 12
__________________________
1 -1 -4 -6 0
Therefore, x=-2 is a root and x+2 is a factor of the polynomial. The quotient of the polynomial and x+2 is
-6 + (-4)x + (-1)* x² + 1 * x³ = x³-x²-4x-6
Using the rational roots theorem, the possible roots of x³-x²-4x-6 are
±(1,2,3,6)
Starting with
x-1 (root is x=1), we have
1 | 1 -1 -4 -6
| 1 0 -4
_____________________
1 0 -4 -10
there is a remainder, so this is not a root
next, x-2 (root is x=2)
2 | 1 -1 -4 -6
| 2 2 -4
_____________________
1 1 -2 -10
there is a remainder, so this is not a root
next, x-3 (root is x=3)
3| 1 -1 -4 -6
| 3 6 6
_____________________
1 2 2 0
x-3 is a factor and 3 is a root. the quotient of (x³-x²-4x-6)/(x-3) is x²+2x+2
The figure below is a parallelogram. AB = 5 cm and BC = 3 cm. Find angle ABC
Step-by-step explanation:
her it go u can see it.. have a nice Day
Below is a histogram representing the test scores from Mrs. Smith's 3rd period Algebra class. Which set of scores below could be represented by this histogram?
Answer:
82,83,84,80,84,86,91,96,95,99,97,92
the expression below is a factorization of what trimonial (5x+6)(3x-2)
Answer:
[tex]15x^2 + 8x -12[/tex]
Step-by-step explanation:
(5x+6)(3x-2)
"foil" it out
F: 5x * 3x = 15x^2
O: 5x * -2 = -10x
I: 6*3x = 18x
L: 6 * -2 = -12
Answer:
15x² + 8x - 12
Step-by-step explanation:
(5x + 6)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis
= 15x² - 10x + 18x - 12 ← collect like terms
= 15x² + 8x - 12
Jeanette ice cream shop sold 10 sundaes with nuts and 7 sundaes without nuts to the total number of sundaes
Anyone wanna help with this please ?
Answer:
y = mx + b
m = slope = -2
To find the y-intercept(b), substitute the points into the function:
-3 = -2(-5) + b
-3 = 10 + b
b = -3 - 10 = -13
Therefore, y = -2x - 13
Answer:
Step-by-step explanation:
which equations have a leading coefficient of 3 and a constant term of -2?
Answer: the answer to this is 3x-2
Step-by-step explanation:
.
Use the table provided to find an exponential model ƒ(x) = ab^x, where ƒ is the population of Arizona, and the input is the number of years since 2004. Approximate to the thousandth’s place.
ƒ(x) = 5,939,292 • (1.035)x
ƒ(x) = 5,739,879 • (0.965)x
ƒ(x) = 5,739,879 • (1.035)x
ƒ(x) = 5,739,879 • (0.035)x
Answer:
this is the same quiestion i was doing if u get answer plz send me
Answer these 3 questions and show how por favor! 39-says what is his age
Answer:
I dont know. sorry sorry
PLEASEEEE HELLLLP MEEEE
Answer:
c. 20/21
Step-by-step explanation:
You just multiply straight
3×7 = 21
4×5 =20
21/20 <---- and it can't be reduced farther than this.
Answer:
C. ²¹⁄₂₀
Step-by-step explanation:
OKOKOK DON'T WORRY I'M HERE :)))
--
When multiplying fractions, you multiply the numerators together and then multiply the denominators together.
The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).
The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).
Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.
Hope this helped!!
The Master Chief collects spiders and starfish. If his spiders have 8 legs and his starfish have 5 legs, how many starfish must he have, given that his spider/starfish collection totals 19 creatures and 116 legs
Answer:
12 starfish
Step-by-step explanation:
Create a system of equations where x is the number of starfish he has and y is the number of spiders he has:
x + y = 19
5x + 8y = 116
Solve by elimination by multiplying the top equation by -8:
-8x - 8y = -152
5x + 8y = 116
Add these together and solve for x:
-3x = -36
x = 12
So, he has 12 starfish.
The total number of starfish is 12 starfishes
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of starfish be = x
Let the number of spiders be = y
The number of legs for spiders = 8
The number of legs for starfish = 5
So , the equation will be
The total number of legs for x starfish = 5x
The total number of legs for y spiders = 8y
The total number of creatures = 19
So , x + y = 19 be equation (1)
And ,
The total number of legs = 116
So , 5x + 8y = 116 be equation (2)
Now , from equation (1) , x = 19 - y
Substituting the value of equation (1) in equation (2) , we get
5x + 8y = 116
5 ( 19 - y ) + 8y = 116
95 - 5y + 8y = 116
95 + 3y = 116
Subtracting 95 on both sides , we get
3y = 21
Divide by 3 on both sides , we get
y = 7
So , the number of spiders is 7 spiders
Substituting the value of y in equation (1) , we get
x + y = 19
x + 7 = 19
Subtract 7 on both sides , we get
x = 12
Therefore , the value of x is 12
Hence , The total number of starfish is 12 starfishes
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Please help! For any positive numbers a, b, and, with b≠1, log b(a/d)
Answer:
B
Step-by-step explanation:
when logarithms of the same base (the base in this case is 'b') are being subtracted, divide the arguments ( 'a' and 'd')
Find COS
out of
Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
A
9
B
41
40
С
Cos A
[tex] \frac{9}{41} [/tex]
Step-by-step explanation:
The ratio cosine tell us that
In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.In other words,
[tex] \cos(x) = \frac{adj}{hyp} [/tex]
The side adjacent to angle a is 9. The hypotenuse is 41.
So
[tex] \cos(a) = \frac{9}{41} [/tex]
You are responsible to provide tennis balls for a tournament. You know that a ball bounces like new when it is dropped and it bounces 82% of the previous height. Because of budget restriction for the tournament you need to test some used balls to make sure they bounce like new tennis balls. You drop a ball and it bounces multiple times; each bounce reaches 82% the height of the previous height. a. Is this sequence geometric or arithmetic
Answer:
arithmetic
Step-by-step explanation:
because it bounced double
Find the area of the triangle with one angle of 150 degrees, and one side 6 cm and the other 7cm.
(Sorry, I could not figure out how to upload the picture)
A. 10.5 cm²
B. 18.2 cm²
C. 12.1 cm²
D. 21 cm²
Step-by-step explanation:
here's the answer to your question
What is the value of x
(X+40) (3x)
A. 20
B. 35
C. 60
D. 70
Answer: A. 20 is the answer.
Step-by-step explanation:
x+40 = 3x
or, 40 = 3x-x
or, 2x = 40
or, x = 40/2
so, x = 20
16. Select the equation that has only one solution.
A. 8 x + 3 = 3 X + 8
B. 12 x = 12 x + 7
C.4 x + 11 = 11 + 4 x
D. 6 x + 20 = 6 x
Answer:
A is the answer...........
Explanation
8x+3=3x+8
8x-3x=8-3
5x=5
x=5/5
x=1
(I will give brainliest!)
Solve for x using the distributive property
7(x-2)-3(x+3)=5(x-3)+x
Answer:
Step-by-step explanation:
7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis
7x -14 -3x -9 = 5x -15 +x , isolate like terms
7x -3x -5x -x = 14 +9 -15, combine like terms
-2x = 8, divide both sides by -2
x= -4
Find the solution: | x + 1 | + 16 = 10
Answer:
[×1] +16=10
×=10-16
×=-6
Answer:
x=5 and x=-5
Step-by-step explanation:
First subtract 16 from both sides.
Then solve for x+1=6 and x+1=-6
you answer should be x=5 and x=-5
I NEEEDDD HELPPP!!! someone please help me outttt
Answer:
45°
Step-by-step explanation:
Segments GJ and HK intersect at F.
That makes angles JFK and GFH vertical angles and congruent.
An arc has the same measure as its central angle.
m<GFH = 45°
m<JFK = m<GFH
m<JFK = 45°
The recursive formula for a geometric sequence is: a = 4 an=an-1×3 What is the 3rd term of this sequence?
Answer:
36
Step-by-step explanation:
a1 = 4
an=an-1 *3
a2 = a1 *3 = 4*3 = 12
a3 = a2*3 = 12*3 = 36
0.9 x 100=
13.79 x 100=
29.894 x 100=
Answer:
multiplying by 100 "shifts" decimal point to the right by 2
90
1379
2989.4
Step-by-step explanation:
Answer:
0.9 x 100=90
13.79 x 100=1379
29.894 x 100=2989.4
Step-by-step explanation:
Independent Practice
Find the first, fourth, and eighth terms of the sequence.
an=0.5 · 3n−1a subscript n baseline equals 0.5 times 3 superscript n minus 1 baseline
A.
0.667; 4.5; 364.5
B.
3; 0.375; 0.0234375
C.
0.5; 13.5; 1093.5
D.
0.5; 121.5; 280.5
Answer:
C.
0.5; 13.5; 1093.5
Step-by-step explanation:
-URGENT- please helppp-
Answer:
Last option. She didn't use the reciprocal.
Answer:
The second, third, and fourth
Step-by-step explanation:
When you multiply two fractions, you multiply the numerator and denominator, not add them. Also, when you divide by a fraction and want to turn it into multiplication, you multiply by the reciprocal, which she didn't do. Hope this helps!
In how many years will the interest of a sum Rs 3600 at the rate of 5.5% per year be Rs 594.8?
Answer:
in 3.04 years the will give required intrest
Simplify the following expressions:
a) (√3 +√7)^2
b) (√5 -√3)^2
c) (2√5 + 3√2)^2
1.) 10+2√21
2.) 8-2√15
3.) 38+2√10
solution to all the answers:
NUMBER 1:
=> use (a + b)^2 + 2ab + b^2 to expand the expression (√3 +√7)^2, then it should look like this: 3 + 2√21 + 7.
=> add the numbers: 10 + 2√21.
NUMBER 2:
=> use (a + b)^2 + 2ab + b^2 to expand the expression (√5 -√3)^2, then it should look like this: 5 - 2√15 + 3.
=> add the numbers: 8 - 2√15.
NUMBER 3:
=> use (a + b)^2 + 2ab + b^2 to expand the expression (2√5 + 3√2)^2, then it should look like this: 20 + 12√10 + 18.
=> add the numbers: 38 + 12√10.
I HOPE THIS HELPED!!
A solution of alcohol and water is 90% alcohol. The solution is found to contain 63 milliliters of alcohol. How many milliliters total (both alcohol and water) are in the solution?
Answer:
70 [milliliters]
Step-by-step explanation:
Since the solution consists of 90% alcohol, the 63 milliliters of alcohol must represent 90% of the entire solution. Let the solution have [tex]x[/tex] milliliters in total. We have the following equation:
[tex]0.9x=63[/tex]
Divide both sides by 0.9:
[tex]x=\frac{63}{0.9}=\boxed{70}[/tex]
Therefore, there are 70 milliliters in the solution.
Answer:
[tex]thank \: you[/tex]