Answer:
a = 1.5, b = 1.75
Step-by-step explanation:
Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.
(x + a)² + b
= x² + 2ax + a² + b , then compare to
x² + 3x + 4
Comparing the coefficients of the x- terms
2a = 3 ( divide both sides by 2 )
a = 1.5
Comparing the constant terms
a² + b = 4
1.5² + b = 4
2.25 + b = 4 ( subtract 2.25 from both sides )
b = 1.75
the number of employees for a certain company has been decreasing each year by 2% if the company currently has 870 employees and this rate continues, find the number of employees in 9 year
Step-by-step explanation:
Number of employees in 9 years
= 870 * (1 - 0.02)⁹
= 870 * (0.98)⁹
≈ 725 employees.
Please help!!!! Needs to be answered soon!
Answer:
This is NOT a graph :)
Step-by-step explanation:
g(a) = –2a^2 – 2; Find g(-4n)
Answer:
choose last option.
Step-by-step explanation:
Given
g(a) = - 2a² - 2
g(-4n) = - 2 ( -4n) ² - 2
= -2 * 16n² - 2
= -32n² - 2
Plz help 2 more questions left
Answer:
1st ? -> -6x
2nd ? -> 4x
3rd ? from left -> 4x
4th ? -> 24
5th ? -> 6
I really help with this ill mark u brainliest pls
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
Pls help me with this math question.
Answer: D
Step-by-step explanation:
D would be the line segment closest to having a 90 degree angle.
Answer:
Step-by-step explanation:
D
1 of 5
© Angad and Nick win some money and share it in the ratio 5:1. Angad gets £60 more than Nick.
How much did Nick get?
Answer:
£15
Step-by-step explanation:
Angad : Nick = 5 : 1
Let
Nick share = x
Angad share = x + £60
Angad : Nick
5 : 1 = x + £60 : x
5/1 = x + 60 / x
Cross product
5 * x = 1 * x + 60
5x = x + 60
5x - x = 60
4x = 60
x = 60/4
x = 15
Nick get £15
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides.
40
What is the measure of an interior angle?
Answer:
The polygon has 9sides with an interior angle measure of 140°
Step-by-step explanation:
The exterior angle of a regular polygon=360°/n
40°=360°/n
n=360°/40°=9
So the polygon has 9 sides thus, a nonagon.
The measure of the interior angle=(n-2)180°/n
=(9-2)×180°/9=140°
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Answer:
y=3x+10 is (0,10) and y=2x 9 is (0,0)
Step-by-step explanation:
is this the answer you were looking for
Answer
(x,y)= (-10, -20)
Step-by-step explanation:
As both equations have y separated, we can conclude they are equal. Hence,
[tex]2x=3x+10\\x=-10\\y= 2(-10)\\y=-20[/tex]
pleasee help !!! finding equation of the image
Answer:
A
Step-by-step explanation:
Here, we want to write the final formula for the equation after performing the given transformations
Reflection on the y-axis means the x-axis value will change sign
that will give:
y = -x^1/3
Transition of 3 units in the positive x axis
mathematically, we are adding 3 to x
so we have
y = -(x+3)^1/3
4 units in the negative y direction means we are subtracting 4 from the whole equation
That means;
y = -(x + 3)^1/3 - 4
This shows that the first option is right
10 boys clear a piece of land in 21 days. How many days will it take 7 boys to clear the same land at the same rate
Pls i need answer fast
Given:
10 boys clear a piece of land in 21 days.
To find:
The number of days it will take 7 boys to clear the same land at the same rate.
Solution:
We have,
10 boys clear a piece of land in 21 days.
Total work = [tex]10\times 21[/tex]
= [tex]210[/tex]
Let 7 boys clear the same piece of land in x days.
Total work = [tex]7\times x[/tex]
= [tex]7x[/tex]
Now, the total work is same.
[tex]7x=210[/tex]
Divide both sides by 7.
[tex]x=\dfrac{210}{7}[/tex]
[tex]x=30[/tex]
Therefore, 7 boys clear the same piece of land in 30 days.
Help please and thank you!
Darron bought a new PS5. He made a down payment of $300, and he will pay $50 each month until the phone is paid off. Which equation represents the relationship between x, the number of monthly payments Darron has made, and y, the total amount he has paid?
A. y= 50x + 300
B. y= -50x + 300
C. x= 50y + 300
D. y= 50x – 300
Answer:
A
x=months y=total payment
vote brainliest
Find the value of X, Y, Z
Answer:
Answers are in photo
Step-by-step explanation:
Do it in terms of ratio
Choose the fraction below that would make the following proportion true.
2/3 = ?/?
A. 2/5
B. 6/9
C. 4/5
D. 8/9
What is the measure of
PLEASE HELP HURRY
Answer:
112.5°
in pretty sure that's the answer
Final question please almost done
Answer:
ill say 75.00
Step-by-step explanation:
The temperature in one northern city was -12°F and in a southern city was 57°F. How much warmer
was the southern city than the northern city?
Answer
69°F
Because
12+57=69
please help me understand
Answer:
x=4
y=6
Step-by-step explanation:
We need to find value of x and y if RS bisects AB and RS = 28
We are given: RS = 28
and We can see from figure that: RT= 3y-7 and TS = 2y+5
And we can observe that RT + TS = 36
So, putting all the values, we can find value of y
[tex]3y-7+2y+5=28[/tex]
Solving this equation, will find value of y
[tex]3y+2y+5-7=28\\5y-2=28\\5y=28+2\\5y=30\\y=\frac{30}{5}\\y=6[/tex]
So, we get value of y: y=6
Now, we also know that RS bisects the line AB. It means it divides both the lines equally.
So, we can write: AT = TB
Putting values we can find value of x
We have AT = 4x-2
TB = 4y+2
and y =6
[tex]4x-2 = 4y+2\\4x-2=4(6)+2\\4x-2=12+2\\4x=14+2\\4x=16\\x=\frac{16}{4}\\x=4[/tex]
So, we get value of x: x=4
14) Mr. Johnston has between 25 and 30 students each class period. The
principal told Mr. Johnston to expect a 25% increase in class size for the
upcoming school year. Based on this information, which best describes the
number of additional students Mr. Johnston can expect in each class?
what is the graph of 3x+5y=-15?
Answer:
Root: (-5,0)
Vertical Intercept: (0,-3)
m = -3/5
b = -3
Step-by-step explanation:
Does anybody know answer to this plsssss
9514 1404 393
Answer:
(a) 4(2x^5 +x^2 -3)
Step-by-step explanation:
The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.
8x^5 +4x -12 = 4(2x^4 +x -3)
{(1, 7.6) (2, 7.2) (3, 6.8) (4, 6.4) (5, 6) (6, 5.6)}
Is this a function or no?
Answer:
Yes
Step-by-step explanation:
Let's put them vertically because that helps me explain this
x, y
1, 7.6
2, 7.2
3, 6.8
4, 6.4
5, 6
6, 5.6
For this to be a function there should be one output for every input, the y coordinates are our outputs and as you can see none of them repeat so this is a function.
Try this!
Arrange the following set of numbers in increasing and decreasing orders.
1.{3, -4, 0, 6, -2}
2.{2.5, 0.3, 5.25, -0.7, 1.2}
3. {2, 0.8 -√8, -4.7, 6⅓}
Decreasing:____________
Increasing:____________
Decreasing:____________
Increasing:____________
Decreasing:____________
Increasing:____________
all time let us have a review about your past topic about multiplying numbers by power of 10
1. 0.042 x 10=
2. 7.331 x 100=
3 0.125 x 1000 =
4. 1.031 x 0.1=
5. 21.5 x 0.001 =
need now
:plss wag nyu na ih answer kung mali rin ih answer nyu huhh!
Answer:
23446
76532
12839
09192
29292
I need the reflection on this one
Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that partitions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
If triangle ABC ~ DEC, find x and the scale factor of ABC to DEC
The value of x from the figure is 4
Similar triangleFrom the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;
25/3x-2 = 20/2xCross multiply
25(2x) = 20(3x - 2)
50x = 60x - 40
50x - 60x =-40
-10x = -40
x = 4
Hence the value of x from the figure is 4
Learn more on similar triangles here; https://brainly.com/question/2644832
multiple x^2/3•x^1/5
If 5e = 45, then what does 7e equal?
Answer:
7e = 63
Step-by-step explanation:
5e = 45
divide by 5 on both sides
5e/5 = 45/5
e = 9
So all you have to do is multiply 7 by 9 since ur substituting the x with ur answer
7(9) = 63
7e = 63
Hope this helped
A library checks out 1,592 books per day. How many books does it check out in 31 days?
Answer:
the library checks out 49352 books in 31 days.
Step-by-step explanation:
1592 x 31 = 49352