Answer:
3c + 9
Step-by-step explanation:
Remember to multiply everything in the brackets by the number outside the brackets.
Helpppp and explain :)
Answer:
Problem 1: 25
Problem 2: 693
Step-by-step explanation:
Problem 1:
f(x) = -5n + 1
g(x) = -6n + 2
(f + g)(-2) = f(-2) + g(-2)
f(-2) = -5(-2) + 1
f(-2) = 10 + 1
f(-2) = 11
g(-2) = -6(-2) + 2
g(-2) = 12 + 2
g(-2) = 14
(f + g)(-2) = 11 + 14
(f + g)(-2) = 25
Problem 2:
f(x) = 7 + 2x
g(x) = 5x - 2
fg(7) = f(7) × g(7)
f(7) = 7 + 2(7)
f(7) = 7 + 14
f(7) = 21
g(x) = 5(7) - 2
g(x) = 35 - 2
g(x) = 33
Therefore:
fg(7) = 21 × 33
fg(7) = 693
If you input 3 into the equation below, what is the resulting y-value?
y=9
Answer:
It will still be 9. y=9 is a horizontal line. No matter the x value, the answer will be the same.
Step-by-step explanation:
Can someone help me?It's urgent and thank you!
Answer:
y = square root x2 - 5
Step-by-step explanation:
y=[tex]\sqrt{x} -5[/tex]
(the top option)
list the integers satisfy the inequality -1 less than 2x - 5 less or equal to 5
Answer:
integers are { 3 , 4 , 5 }
Step-by-step explanation:
- 1 < 2x - 5 ≤ 5
- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5 [ adding by 5 ]
4 < 2x + 0 ≤ 10
4 < 2x ≤ 10
2 < x ≤ 5 { divide by 2 ]
Therefore, integers are { 3 , 4 , 5 }
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 cos 5θ
Answer:
y-acis
Step-by-step explanation:
the function graph is symmetric about
- y-axis when it is an even function
-the origin ehen it is an even function
A symmetrical graph about the x-axis is not a function graph
f(×) is a even if and only if f(×) =f(×)
f(×) is a odd if and only f(×)=f(×)
We have the function r(0) = 4cos (50)
(only symmetry about the y-acis or about the origin)
Check r(-0)
r(-0) = 4cos (5-0) = 4cos (-50 = 4 cos (50)
Used cos (-× = cos ×
We have r(0). Therefore the graph of r(0) is symmectric about the y-axis.
1. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
2. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
3. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter. *
Answer:
1)
[tex]808.48 \: cubic \: meter[/tex]
2)
[tex]104 \: shiling[/tex]
3)
[tex]14cm[/tex]
Step-by-step explanation:
Length = 16.3m
breadth = 8m
height = 6.2m
volume= Lbh
=(16.3×8×6.2)m
= 808.48 cubic meter
The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.
Which expression is the radical form of x^4/5?
Answer:
The picture is the answer
Step-by-step explanation:
the range of the following relation R {(3, -5), (1,2),(-1,-4),(-12)}
Answer:
The range of the following relation is(-5,2,-4)
Which property of exponents must be used first to solve this expression? (iy2)1/3
Step-by-step explanation:
"must be used first" is a very hard phrasing. multiplication is commutative.
and I am not sure that the problem is stated correctly.
I read here
(i×y²) to the power of 1/3.
i is the imaginary constant sqrt(-1) ?
exponents brought themselves to the power of something else multiply.
e.g.
[tex]({2}^{3})^{4} = {2}^{12} [/tex]
exponents in multimedia expressions of the same base simply add up.
e.g.
[tex] {2}^{3} \times {2}^{4} = {2}^{7} [/tex]
a negative exponent means that the expression with the same positive exponent is just at the bottom of a division.
e.g.
[tex] {2}^{ - 3} = 1 \div {2}^{3} [/tex]
and a fraction as exponent specifies a root to be taken.
e.g
[tex] {2}^{1 \div 3} = \sqrt[3]{2} [/tex]
so, I would do all the exponent multiplications to simplify the expression.
[tex] \sqrt[3]{i \times {y}^{2} } = ({i \times {y}^{2} })^{1 \div 3} = [/tex]
[tex] = ( { - 1}^{1 \div 2} \times {y}^{2} ) ^{1 \div 3} [/tex]
1/2 × 1/3 = 1/6
2 × 1/3 = 2/3
[tex] = { - 1}^{1 \div 6} \times {y}^{2 \div 3} = \sqrt[6]{ - 1} \times \sqrt[3]{ {y}^{2} } [/tex]
so, as we can see, we can move freely from multiplying the fraction exponents to converting them into root expressions and vice versa.
Which functions have a range of ..
Answer:
Options (3) and (5)
Step-by-step explanation:
Option (1)
f(x) = x² + 7x - 2
= x² + 2(3.5)x + (3.5)² - (3.5)² - 2
= (x + 3.5)² - 14.25
Therefore, vertex of the graph → (-3.5, -14.25)
And the graph will open upwards.
Range of the function → [-14.25, ∞)
Option (2)
f(x) = -(x + 1)² - 4
Since, leading coefficient is negative, curve of the function will open downwards.
Vertex → (-1, -4)
Range of the function → [-4, -∞)
Option (3)
f(x) = -4x + 11
This function is defined for all real values of x.
Range of the function → (-∞, ∞)
Option (4)
f(x) = [tex]2^{x+3}[/tex]
Range of this exponential function → (0, ∞)
Option (5)
f(x) = [tex]\frac{2}{3}x-8[/tex]
Function is defined for all real values of x.
Range of the function will be (-∞, ∞)
Therefore, Options (3) and (5) are the correct options.
6 root20+8 root5-5root45
Answer:
Step-by-step explanation:
[tex]6\sqrt{20} + 8\sqrt{5} -5\sqrt{45}[/tex]
[tex]12\sqrt{5} + 8\sqrt{5} -15\sqrt{5}[/tex]
[tex]5\sqrt{5}[/tex]
Answer:
Step-by-step explanation:
I imagine that you are simplifying this, since there is nothing else you can do with it. You are in the section in algebra where you're learning how to simplify radicals. ALWAYS think prime factorization when it comes to numbers. For example, the square root of 5...the prime factorization of 5 is simply 5 * 1. So we know that √5 is as simple as it can be. It would benefit us if we could simplify either of the other 2 radicals down to the same radicand so we could add or subtract them.
The prime factorization of 20 is
20--> 5 * 4
4--> perfect square (2×2). So the simplification of 6√20 is 6×2√5 which is 12√5.
The prime factorization of 45 is
45--> 5 * 9
9--> perfect square (3×3). So the simplification of 5√45 is 5×3√5 which is 15√5.
Put it all together to get
12√5 + 8√5 -15√5 which simplifies to
5√5
someone help me with this
Answer:
stars: triangles
3 : 1
Step-by-step explanation:
There are 3 starts and 1 triangle
stars: triangles
3 : 1
Answer:
3:1
Step-by-step explanation:
3 Stars and 1 Triangle
verify that :- 5/8x(7/9-11/6)=(5/8x7/9)-(5/8x11/6)
please answer
Complete the angle addition postulate for the following angle
Answer:
measure of angle GEO.....
A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
Answer:
$34,341
Step-by-step explanation:
Given :
Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
To obtain the best value for the mean salary ; we obtain the weighted average ;
Σ(salary * weight factor) / Σ weight
[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)
= 34341.34 / 1
Average salary = 34341.34
= $34,341 ( nearest dollar)
find the value of x and y
Answer:
x = 58
y = 39
Step-by-step explanation:
x = 58 (Vertically opposite angles)
x + 2y + (x-14) = 180 (Angles in a straight line)
=> x + 2y + x - 14 = 180
=> 2x + 2y = 180 + 14
=> 2(58) + 2y = 194
=> 116 + 2y = 194
=> 2y = 194 - 116
=> 2y = 78
=> y = 78/2
=> y = 39
а
The radius
of
a circle is 10cm and
the length of a chord is 12 cm.
Then , calculate the distance between
the chord and centre of
a circle
Step-by-step explanation:
by referring to the diagram,
a = 8
Age of car = 8 years. Original cost = $18,000. The cost of maintenance and repairs is $
From the graph it seems to be around the area of 10%.
So,
18,000 * 0.10 = $1,800
Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2 2 1 2, start fraction, 1, divided by, 2, end fraction meters. Then he climbed straight up 6\dfrac{3}{4}6 4 3 6, start fraction, 3, divided by, 4, end fraction meters. Eric was wondering what his change in elevation was after these two moves.
Answer:
Hence, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above. So after the 2 moves, he is up by [tex]4\frac{1}{4}[/tex] meters.
Step-by-step explanation:
Let us assume "negative" as climbing up and "positive" as climbing up. Here we need to find the change in elevation.
[tex]2\frac{1}{2}[/tex] meters down means [tex]-2\frac{1}{2}[/tex]. [tex]6\frac{3}{4}[/tex] meters up means [tex]+6\frac{3}{4}[/tex].Now we have:
[tex]=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}[/tex]
Answer:
b
Step-by-step explanation:
what is the product of 172837286 and 17368364????
Answer:
3.0019009e+15
Step-by-step explanation:
the word and is multiplication so multiply the two numbers
Answer:
3.001900896*10^15 is the answer
convert 4 years to months
Answer:
48 months
Step-by-step explanation:
12 times 4 48
Answer:
48 months
There's 12 months in 1 year.
So we would multiply 12 months by 4 years to get 48 months
How many glasses of lemon juice and water are need to make 15 glasses of lemonade
A.14 glasses of lemon juice 1 glass of water
B.10 glasses of lemon juice 5 glasses of water
C.6 glasses of lemon juice 9 glasses of water
D.3 glasses of lemon juice 12 glasses of water
Answer:
Option B:10 glasses of lemon juice and 5 glasses of water
Consider the graph. Which inequality best represents the graph?
Answer:
y >= x/2 - 1
Step-by-step explanation:
the slope (rise/run) is 1/2 and the y-intercept is -1 so in point-slope form
y = x/2 - 1 but everything above the line (unshaded part) is valid so y is equal to or greater than.
Simplify completely..........
Answer:
[tex]\frac{x}{x-1}[/tex]
Step-by-step explanation:
[tex]\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}[/tex] [tex][ \ x^ 2- 1 = (x-1)(x + 1) \ ][/tex]
[tex]= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}[/tex] [tex][\ Taking \ LCM \ ][/tex]
[tex]= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}[/tex]
Finding LCM :
Example :
[tex]\frac{1}{6} + \frac{1}{3}[/tex]
6 = 2 x 3
3 = 1 x 3
[tex]\frac{1}{2 \times 3} + \frac{1}{ 3}[/tex] [tex]= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}[/tex]
[ To make the denominators same : the second fraction is multiplied and divided by 2 ]
Similarly :
[tex](x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)[/tex]
Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )
Therefore the second term becomes ,
[tex]\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}[/tex]
will give branliest TO ANY ACTUAL ANSWERS
Which equation does the graph of the systems of equations solve?
two linear functions intersecting at 3, negative 2
Someone PLEASE HELP ME. The diagram above shows a plan for a park.
ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.
Answer:
84 m
Step-by-step explanation:
Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles
62
Can someone help me? It's urgent and thank you!
Answer:
12
Step-by-step explanation:
Price of a mobile phone including 10% GST is rs.16,600. Find the p[rice of mobile phone before gst was added
Answer:
16,600 = 110%, you can do this in your head minus 1,660 GST (whatever that is) 14,940
Step-by-step explanation:
Can i get some help pls!
Answer:
Graph the system on linear equations.
Step-by-step explanation:
(-4, 4) & (-4, -6)
