Help me with these 3 and explain too thank you :))
Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
How many solutions exist for the given equation 3x+13=3(x+6)+1 zero one two infinity many
Answer:
Zero
Step-by-step explanation:
Given: 3x+13=3(x+6)+1
Step 1: Expand
3x+13=3x+19
Step 2: Subtract 3 from both sides
3x+13-13=3x+19-13
Step 3: Simplify
3x=3x+6
Step 4: Subtract 3x from both sides
3x-3x=3x-3x+6
Step 5: Simplify
0=6
NO REAL SOLUTIONS
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Answer:
zero
Step-by-step explanation:
3x + 13 = 3(x + 6) + 1
3x + 13 = 3x + 18 + 1
3x - 3x = 18 + 1 - 13
0 = 18 + 1 - 13
0 = 6
NO SOLUTION
Factorize (a+b)²-4ab
Answer:
(a - b)²
Step-by-step explanation:
(a + b)² - 4ab
= a² + 2ab + b² - 4ab
= a² - 2ab + b²
= (a - b)²
A cylinder has a volume of 245x cubic units and a helght of 5 units. The diameter of the cylinder is
7 units
14 units
49 units
Answer:
Diameter = 14 units
Step-by-step explanation:
Volume ofa cylinder = πr²h
Volume of the cylinder = 245π cubic units
Height = 5 units
Volume of a cylinder = πr²h
245π = π × r² × 5
245π = 5r²π
Divide both sides by π
245π / π = 5r²π / π
245 = 5r²
r² = 245/5
= 49
r² = 49
r = √49
r = 7 units
Diameter = 2 × radius
= 2 × 7 units
= 14 units
Diameter = 14 units
What is the first step in solving the following systrm of equations?
3x + y = 23 and 8x + 2y = 23
A. Substitute the value of y from one equation into the other equation
B. Solve the first equation for y
C. Subtract the second equation from the first equation
D. Substitute the value of x from one equation into the other equation
Hello!
{3x + y = 23 _ {y = 23 - 3x
{8x + 2y = 23 {8x + 2(23 - 3x)
The answer is A.
Good luck! :)
A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.
Hi there!
[tex]\large\boxed{h = 8in}[/tex]
Area of a triangle:
A = 1/2(bh)
Plug in given values:
60 = 1/2(15h)
Solve for h. Multiply both sides by 2:
120 = 15h
Divide both sides by 15:
120/15 = h
h = 8 in
Answer:
8 inches
Step-by-step explanation:
1. BasicsArea of a triangle: [tex]\frac{1}{2}BH[/tex]
2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT
8 inches
Hope this helped! Please mark brainliest :)
can someone do this step by step pls:)
Answer:
23
4* 4 = 16
cir = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](1.2) = 2.4[tex]\pi[/tex]
16 + 2.4[tex]\pi[/tex] = 23.53
Step-by-step explanation:
Drag each expression to the correct category.
Apply the produc rules to determine the sign of each expression.
[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]
[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]
[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]
[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]
[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]
[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]
the sum of the squares of two positive integers is 183 if one integer is 3 less then the other, find the larger integer
Answer:
I believe the question is incorrect
Step-by-step explanation: 7 1 17 02
take the english statement and convert it to math
sum of the squares of two positive integers is 183 x² + y² = 183
one integer is 3 less than the other x = y - 3 x is three less than y
find the larger integer use the two equations to solve for y the larger number
x² + y² = 183 and x = y - 3
(y - 3)² + y² = 183
y² - 6y + 9 + y² = 183
2y² - 6y = 182 - 9
2y² - 6y = 173
2y² - 6y - 173 = 0
this equation does not result in an integer
2y² - 6y - 173 = 0
determine the value of x.
x=-7
x=7
x= 2.33
x=29
Answer:
where is the figure?
u should upload the figure too
Estimate the difference 5,290-436
Answer:
it will be
=> 4854
Step-by-step explanation:
hope it's helpful for you xd
Someone tell me where everyone is going right please !!
For the 1st picture,
[tex]2(3x - 1) \geqslant 4x - 6[/tex]
[tex]6x - 2 \geqslant 4x - 6[/tex]
[tex] - 2 \geqslant - 2x - 6[/tex]
[tex]4 \geqslant - 2x[/tex]
[tex]x \geqslant - 2[/tex]
This means x has to be greater than -2 so -1 is the answer.
For the 2nd picture the answer is -10.
For the 3rd picture, the answer is the first three options.
For the 4th picture, the answer is the 3rd option.
again again again again again again again hello or merhaba dude
merhaba = hello
answers are at the photos
GOOD LUCK:D
greetings from Turkey (≧▽≦)
Evaluate the price wise function ag the indicated value from the domain:
A. f(-3)=-1/2
B. f(-3)=-1/3
C.f(-3)=4
D.f(-3)=9
HELP PLEASE I NEED COOR!!!!!
y−5=43(x−5)
Answer:
y=43x-210
Step-by-step explanation:
Distribute 43
then add five on each side
you get y=43x-210, 43 and 210 cannot be sipilified so that is the answer.
Answer:
y=43x-210
Step-by-step explanation:
Distribute 43 through the parenthesis.
y-5=43x-215
Move the constant to the right and change its sign.
y=43x-215+5
Calculate sum.
y=43x-210
Hope i helped :)
Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
no pueden hablar otra idioma
Solve. Algebra 1
1-4p-2p=1-5p
Answer:
p = 0
Step-by-step explanation:
1 - 4p - 2p = 1 - 5p
-6p + 1 = -5p + 1
-p + 1 = 1
-p = 0
p = 0
Given statements:
If a shape is a rhombus, then the diagonals are perpendicular.
A square is a rhombus.
What is a logical conclusion from the given statements?
OA. The sides of a square are perpendicular.
OB. The diagonals of a square are perpendicular.
OC. A rhombus is a square.
OD. The diagonals of a square are not perpendicular.
Answer:
B
Step-by-step explanation:
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36
Answer:
bike=7
car=8
walk=9
bus=12
Step-by-step explanation:
Answer:
Look at picture
Step-by-step explanation:
Which rates are equal? Choose 2.
A. 630 miles per 9 hours
B. 1,320 miles
per 24 hours
C. 1,170 miles per 18 hours
D. 455 miles per 7 hours
E. 840 miles per 14 hours
Answer:
C. 1170 miles per 18 hours
D. 455 miles per 7 hours
Step-by-step explanation:
1170/18=65
455/7=65
Please help me with this question.
Answer:
Step-by-step explanation:
-1 ≤ x < 3 Solution set = {-1, 0 ,1 , 2}
-2 < x < 2 Solution set = {-1 , 0 , 1}
Integer values that satisfies both inequalities are -1 , 0 , 1
I \\\\\\\\\ I
[-1] -3 I \\\\\\\\\\\ I -2 2 [tex]\displaystyle\bf x\in[-1;2)\\-1;0;\underline1\\\\Answer: 1[/tex]
Please help me solve this guys
I’m really struggling
Answer:
(y - 1) = 4(x +1)
Step-by-step explanation:
slope = 4
B = -4
given point (-1,1)
y = 4x -4 (this is the slope intercept form)
[tex](Y - Y_{1 }) = M (X - X_{1} )[/tex] (point slope form)
(y - 1) = 4(x +1) ... that is the point slope form
(-10)+3=10-3 true or false
Answer:
False
Step-by-step explanation:
10-3 =7
-10 + 3 = - 7
That is why this is correct
Answer:
false
Step-by-step explanation:
(-10)+3=10-3
-7 = 7
= -7≠ 7
Tres ómnibus de tres empresas diferentes salen simultáneamente de la estación terminal a las 9 hs a que hora habrá una nueva Coincidencia si una empresa sale cada 90 minutos otro cada 120 minutos y el tercero cada 180 minutos
Respuesta:
3.00 p. M.
Explicación paso a paso:
El autobús sale en el Times simultáneamente a las 9 a.m.
Si cada autobús sale de la siguiente manera:
Bus A = cada 90 minutos
BUS B = cada 120 minutos
Bus C = cada 180 minutos
Para obtener la hora, los 3 buses volverán a salir simultáneamente:
Obtenga el mínimo común múltiplo de:
90 = 90, 180, 270, 360, 450, 540
120 = 120, 240, 360, 480, 600, 720
180 = 180, 360, 540, 720, 900
El mínimo común múltiplo es 360 minutos; por lo tanto, los 3 autobuses saldrán después de 360 minutos;
360/60 = 6 horas
9.00 a.m + 6 horas = 3.00 p.m
I NEED HELP ASAP HEELP
Answer:
S > 2kg
Step-by-step explanation:
Find the value of cos C rounded to the nearest hundredth, if necessary
[tex]\bold{\frac{5}{13} or 0.38}[/tex]
Answer:
Solution given:
here
by using Pythagoras law
hypotenuse =
[tex]\displaystyle\sqrt{adjacent ²+opposite ²}\\=\sqrt{15²+36²}=39[/tex]
Cos C=[tex]\frac{adjacent} {hypotenuse}=\frac{15}{39}=\frac{5}{13} or{0.38}[/tex]
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - x + 4 = 0
Answer:
[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex] or [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]
Step-by-step explanation:
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
We have a = 3; b = -1; c = 4.
[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]
[tex]x = \dfrac{1 \pm \sqrt{1 - 48}}{6}[/tex]
[tex]x = \dfrac{1 \pm \sqrt{-47}}{6}[/tex]
[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex] or [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]
Consider the system of equations. y = −2x + 4 y = − 1 3 x − 1 The solution is (3, –2). Verify the solution. Which true statement appears in your check?
[tex]\displaystyle\bf \left \{ {{y=-2x+4} \atop {y=-\frac{1}{3} x-1}} \right. => \\\\\\-2x+4 =-\frac{1}{3}x -1\\\\-\frac{5}{3} x=-5\\\\\boxed{x=3\quad ; \quad y=-2}[/tex]
Answer:
-2 = -2
Step-by-step explanation:
You need to substitute the values of y and x.
(X,Y) =
(3, -2)
y= - 2x + 4
-2= -2(3) +4
-2= - 6 + 4
-2=-2
y= - 1/3x - 1
-2= - 1/3 (3) - 1
-2 = -1 -1
-2 = -2
The answer is -2 = -2, so this means that both equations are true
Hope it helps UwU :>A line passed through the points (-3,-4) and (6,2). What is the x-intercept of this line?
Answer: 3
Step-by-step explanation:
Points (-3,-4) and (6,2) give you slope of (-4-2)/(-3-6)=-6/-9=2/3
Y=2/3x+k. Substitute first point, you get -4=2/3(-3)+k. -4=-2+k, so k=-2. When y=0, x value is the x intercept. 0=2/3x-2, 2/3x=2, so x=3.
Express y in terms of x in the equation ax + by = c where b is not equal to zero.
HELLLP
Answer:
y=(-ax+c)/b
Step-by-step explanation:
ax+by=c
by=c-ax
by=-ax+c
y=(-ax+c)/b
In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase in the population of the village from 2017 to 2019.
Answer:
10.2%
Step-by-step explanation:
The given population of the village in 2017 = 7,500
The given population of the village in 2019 = 8,265
The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;
[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]
The final value of the population in 2019 = 8,265
The initial value of the population in 2017 = 7.500
Therefore;
[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]
The percentage increase in the population = 10.2%