Answer:
y=0
Step-by-step explanation:
Rewrite Evaluate Powers:
3[tex]3^{2y-1}+3^{-1}+2*3^{y}*3^{-1}=1[/tex]
Calculate:
[tex](3^{y})^{2}*\frac{1}{3} +2*3^{y}*\frac{1}{3}=1[/tex]
Solve using substitution:
[tex](3^{y})^{2}*\frac{1}{3} +\frac{2}{3} *3^{y}=1[/tex] [tex]t=3^{y}[/tex]
Solve the equation for t:
[tex]t^{2}*\frac{1}{3}+\frac{2}{3}t=1[/tex]
t=-3
t=1
Substitute back to t=3^y
3^y=-3
3^y=1
y∉R
[tex]3^{y}=1[/tex]
y=0
factories ((x+2)+3x+6. 2a(a-1)-a+1
Answer:1. = 4x+8
2. 2a²-a+1
Step-by-step explanation:
1. ((x+2)+3x+6. 2. 2a(a-1)-a+1
((x+2)+3x+6
= x+2+3x+6
= 4x+8
2a(a-1)-a+1
2a²-2a-a+1
2a²-a+1
Which applies the power of a power rule properly to simplify the expression (710)5?
Answer:
I45
Step-by-step explanation:
Please help I don't understand this at all
Answer:
The answer is 48in
Step-by-step explanation:
Write the following compound statement in symbolic form.
If I do not study hard, then I will not pass geometry and graduate high school.
Answer:
A conjunction is a compound statement formed by combining two statements using the word and . In symbolic logic, the conjunction of p and q is written p∧q . A conjunction is true only if both the statements in it are true.
Step-by-step explanation:
PLS HELP ASAP HOW DOES THIS= THIS
f(x)=2x^3-9x^2+11x-20....
look at photo.
true or false
Answer:
false
Step-by-step explanation:
Factor the expression (-x^2 + 5x + 24.), and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =
and x =
.
Answer:
[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]
The factors to the given expression are -1(x+3)(x-8)
The x-intercepts are -3, 8
What do we mean by factorization?Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.
How do we factorize the given expression?We equate the given expression to f(x)
(-x² + 5x + 24) = f(x)
⇒ -1(x² - 5x - 24) = f(x)
⇒ -1(x² - (8-3)x - 24) = f(x)
⇒ -1(x² + 3x - 8x -24) = f(x)
⇒ -1(x(x+3) -8(x+3)) = f(x)
⇒ -1(x+3)(x-8) = f(x)
∴The factor to the given expression is -1(x+3)(x-8)
How do we find the x-intercepts?To find the x-intercepts we equate f(x) = 0
⇒ -1(x+3)(x-8) = 0
⇒ (x+3)(x-8) = 0
x-intercepts are the roots of the above equation.
∴ The x-intercepts occur where x = -3 and x = 8
Learn more about the Factorization and x-intercepts at
https://brainly.com/question/11579257
https://brainly.com/question/3951754
#SPJ2
two significant figures, 18.96 x 2.03 is
Help and explain please and thank you !!!!!!!
Answer:
[tex]q = 3[/tex]
Step-by-step explanation:
[tex]3q−2=7[/tex]
[tex]3q=7+2[/tex]
[tex]3q=9[/tex]
[tex]q = \frac{9}{3} [/tex][tex]q = 3[/tex]
Hope it is helpful....Find the slope of the line that passes through (9, 6) and (5, 5).
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 6) and (x₃, y₃ ) = (5, 5)
m = [tex]\frac{5-6}{5-9}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]
pls help, i have class rn :(
in how many ways can alice distribute 12 apples to 3 children (a child can have no apples)
The mass of the moon is 7.343 × 10^19 tonnes. The Earth has a mass of 81 times bigger than that of the moon. Work out the mass of the Earth.
Answer:
= 7. 343 × 10^19 ×81
= 1.377 × 10^21
Circumference of a circle with a diameter of 15 inches.
Answer:
Cir = d[tex]\pi[/tex]
C = 15[tex]\pi[/tex]
Step-by-step explanation:
Answer:
Exact Answer: 15π inches
Decimal Answer: 47.1 inches
Step-by-step explanation:
The unit is inches because circumference is one dimension.
1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius
2.) dπ=15π
3.) 15 × 3.14⇒approximate answer
(1 + sin x)(1 – sin x) = cos^2x
Answer:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
cos^2x = cos^2x
Step-by-step explanation:
Simplify the left hand side:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
Using the Pythagorean Identity, we can see that the two sides are equivalent if you subtract sin^2x from both sides:
sin^2x + cos^2x = 1
cos^2x = 1 - sin^2x
Lastly, write it out:
(1 + sin x)(1 – sin x) = cos^2x
1 - sin^2x = cos^2x
cos^2x = cos^2x
If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expression in the parabola's equation?
Answer:
[tex]y=a(x-h)^{2} +k[/tex]
[tex](x,y)=(-3,14)[/tex]
[tex](h,k)=(-4,6)[/tex]
[tex]14=a(-3-(-4))^{2})+6[/tex]
[tex]14=a(-3+4)^{2} +6[/tex]
[tex]14=a(1)^{2} +6,-6[/tex]
[tex]8=a[/tex]
[tex]ANSWER:8[/tex]
--------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
What number line model represents the expression 5 1/2 + (-3)
Answer:
(A)
Step-by-step explanation:
The bottom arrow goes to 5 1/2, and then because adding -3 is the same as subtracting 3, the top arrow correctly goes back 3, resulting in an answer of 2 1/2.
Hope it helps (●'◡'●)
Ben franklin is an electrician that lighting
XxFazexX Ben Franklin is Goated.
Write the equation of the line passing through the points (−2,3) and (−1,−2) in Slope-Intercept and Point-Slope Form.
HELP ASAP 10 POINTS AND BRAINLIST
Step-by-step explanation:
hope it helps you...........
3x-4y=-24
Identify the x- and y-intercept of the graph of each question
Answer:
x = -8 and y = 6
Step-by-step explanation:
3x - 4y = -24
Solve for y - intercept
3x - 4y = -24
To find y intercept , substitute x = 0
3 × 0 - 4y = -24
Any expression multiplied by 0 equals 0.
0 - 4y = -24
-4y = -24
Divide both sides by -4
-4y / -4 = -24/-4
y = 6
Similarly, Solve for x-intercept
3x - 4y = -24
To find x- intercept , susbtitute y = 0
3x - 4 × 0 = -24
Any expression multiplied by 0 equals 0.
3x - 0 = -24
3x = -24
Divide both sides by 3
3x / 3 = -24 / 3
x = -8
Therefore, y = 6 and x = -8
The formula for the volume of a cylinder is V = srh.
Solve v = rn for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
Have a great summer :)
a^2-2(a+b)-b^2 plz can anyone solve this factorization
Step-by-step explanation:
Hope it helps If u have any confusion regarding this kindly inform me , i will try my best to answer
[tex]\tt\displaystyle\ \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]
What is the answer??
Factorize by grouping:
4pº + 8p2 + 3p + 6
Work Shown:
I'm assuming you meant to write 4p^3+8p^2+3p+6
If so, then we would have these steps
4p^3+8p^2+3p+6
(4p^3+8p^2)+(3p+6)
4p^2(p+2)+3(p+2)
(4p^2+3)(p+2)
How many miles are equivalent to 800 meters? Round answer to the nearest hundredth.
0.50 miles
1.29 miles
2.62 miles
4.97 miles
Answer:
0.5miles
Step-by-step explanation:
800meters is 0.497097miles
Round 0.497097miles to the nearest hundredth which would be 0.5 miles.
Which is a simplified form of the expression -4(n + 1) – (n + 2)?
A. 2n + 3
B. -3n - 2
C. -4n - 5
D. -5n - 6
Answer:
the answer is D
Answer:
D. - 5n - 6
Step-by-step explanation:
- 4 ( n + 1 ) - ( n + 2 )
= - 4n - 4 - n - 2
= - 4n - n - 4 - 2
= - 5n - 6
In how many ways the word CHAMPION can be arranged without repetition of there are no conditions?
149 (give brainliest for all of the words)
For each journey between work and home, Arjun uses 1.3 gallons of petrol. Arjun has 52 litres of petrol in his car. How many complete journeys between work and home can he do?
1 gallon = 4.5 litres.
Answer: 9 full journeys
Step-by-step explanation:
4.5 litres * 1.3 gallons = 5.8 litres of petrol
52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Answer:
a-b divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]
the reason is that the (a-b) vs (a+b) in the "SOAP"
same, opposite, always a plus the "-" in the "a-b" has to match the
sign between the two cubes
Step-by-step explanation:
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{x}{9}[/tex]
x=[tex]\frac{9}{2}[/tex]
The value of x is [tex]\frac{9}{2}[/tex]
Ryan was traveling by car at an average speed of 40.3 miles per hour.
He will cover 322.4 miles in hours.
Answer:
your answer is 8
Step-by-step explanation:
If you divide 322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.
If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time
hope this help. Have a good day!
\
Bye