Answer:
First, we can find the formula for the subtraction without substitution:
f
(
x
)
−
g
(
x
)
=
(
3
x
−
4
)
−
x
2
We can now substitute the values for the functions:
f
(
3
)
−
g
(
2
)
=
(
(
3
×
3
)
−
4
)
−
2
2
We can now solve the equation:
f
(
3
)
−
g
(
2
)
=
(
9
−
4
)
−
4
f
(
3
)
−
g
(
2
)
=
5
−
4
f
(
3
)
−
g
(
2
)
=
1
Answer link
plz help.............. radius is 10 inch
Answer:
314 in²
Step-by-step explanation:
The formula for the area of a circle is pi*r² or pi (3.14...)* radius²(squared).
If you plug in the radius given into the equation, you get 3.14*10² you can then solve this using systems of equations.
3.14*10²
10² = 10*10
3.14*(10*10)
10*10= 100
3.14*100
3.14*100= 314
You are making a colorful birthday cake for a birthday party and needs do use 4 drops of food coloring for every 7 ounces of icing how many drops of food coloring do you need if you are using 42 ounces of icing?
You will need 24 drops of food coloring
Because 7x6=42 so we have to multiply 6 by 4 and that is 24
sin(60-theta)sin(60+theta)
Step-by-step explanation:
[tex] \sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\ [/tex]
from difference of two squares:
[tex]{ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}[/tex]
therefore:
[tex] = \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta[/tex]
factorise out ¾ :
[tex] = \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}[/tex]
A piece of wire 100 cm long is cut into two pieces, each to be bent to make a square. The length of a side of one square is to be 4 cm longer than the length of a side of the other. How should the wire be cut?
Answer:
The two pieces will be 42 and 58 cms long.
Step-by-step explanation:
Let the length of the smallest square be x cm.
Then the length of the other will be x + 4 cm
So, as there are 4 sides in a square, we have the equation:
4x + 4(x + 4) = 100
8x + 16 = 100
8x = 84
x = 10.5 cm.
So we need 4*10.5 = 42 cms for one square and 4 * 14.5 = 58 cms for th other square.
What is the equation of the line in point-slope form and slope-intercept form that is
perpendicular to the line
4x - 3y = 30 and passes through the point (-8, 7)?
9514 1404 393
Answer:
y -7 = -3/4(x +8)y = -3/4x +1Step-by-step explanation:
The slope of a line in the form ...
ax +by = c
is ...
m = -a/b
So, the slope of the given line is ...
-4/(-3) = 4/3
The slope of the perpendicular line is the opposite reciprocal of this,
m' = -1/(4/3) = -3/4
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Then your perpendicular line with slope -3/4 through point (-8, 7) is ...
y -7 = -3/4(x +8)
Rearranging to slope-intercept form, we get ...
y = -3/4x -3/4(8) +7
y = -3/4x +1
Reanna is making a scrapbook which holds 14 photos on each 2-page spread.
Tables are used to show the relationship between variables in a visual form. The equation of the situation is: [tex]y = 7x[/tex]
The complete table is as follows:
[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]
Given that:
[tex]2\ page = 14\ photos[/tex]
Let:
[tex]y \to pages[/tex]
[tex]x \to photos[/tex]
So, we have:
[tex]2y = 14x[/tex]
Divide by 2
[tex]y = 7x[/tex]
To fill the table, we simply multiply both sides by the same constant.
Multiply by 0.5
[tex]2\ page \times 0.5= 14\ photos \times 0.5[/tex]
[tex]1\ page = 7\ photos[/tex]
Multiply by 2
[tex]2\ page \times 2 = 14\ photos \times 2[/tex]
[tex]4\ page = 28\ photos[/tex]
Multiply by 3
[tex]2\ page \times 3 = 14\ photos \times 3[/tex]
[tex]6\ page = 42\ photos[/tex]
So, the table is as follows:
[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]
Read more about tables at:
https://brainly.com/question/13140019
The areas of two squares P and Q are 900cm and 400cm respectively. Find the ratio of the sides P and Q.
Answer:
each side of square P is 30cm and each side of square Q is 20cm. ratio is 30:20
Step-by-step explanation:
hope this helps
The box plot represents a data set
What is the range of the middle 50% of the data?
2
3
5
7
9 10 11 12 13 14 15 16 17 18 19 20 21
8
O
12
O 17
6
Answer: Im gonna say 12
Step-by-step explanation:
Answer: the answer is 6
Step-by-step explanation: I took the quiz
How to write 72,932 expanded form?
Answer:
70,000+ 2,000 +900 +30 + 2
in expanded form
Step-by-step explanation:
Demichael orders a set of numbers on his
homework. In descending order, the first
number is 5 1/2 and the last number is 5 1/3
Which of the following numbers is NOT in
Demichael's list?
A V25
B 5.45
C 5 12 름
D 5.34
The numbers are ordered, such that the first number (the largest one) is:
(5 + 1/2)
And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.
We want to see which of the following numbers is not on the list:
A) √25
B) 5.45
C) 5 12
D) 5.34
One of these numbers can only be in the list if it is larger than (5 + 1/3) and smaller than (5 + 1/2).
To see this easier, let´s rewrite both of these:
5 + 1/2 = 5 + 0.5 = 5.5
5 + 1/3 = 5 + 0.33 = 5.33
Then if a number is smaller than 5.33, the number can't be in the list.
Here we can see two numbers that are smaller than 5.33
These are:
Option A) √25 = 5 < 5.33
Option C) 5.12 < 5.33
And there is no number larger than 5.5
Concluding, the numbers that are not in Demichael's list are:
√25 and 5.12
If you want to learn more, you can read:
https://brainly.com/question/7487419
express 15288 as a product of prime factors
Answer:
The prime factors are: 2 x 2 x 2 x 3 x 7 x 7 x 13
Step-by-step explanation:
-2 (3y + 2) - 7z - 4(3z+ 8y )
how do you simplify expression with distribution?
Answer:
-38y - 19z - 4
Step-by-step explanation:
You meses to multiply the numbers outside the brackets with the values inside.
First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).
Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.
Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4
3 Find y if the slope between ( – 7, y) and (1, 13) is 3/4
Step-by-step explanation:
[tex]slope \: = \frac{y2 - y1}{x2 - x1} = \frac{3}{4} [/tex]
point 1 ( -7,y)
point 2 (1,13)
[tex] \frac{13 - y1}{1 - ( - 7)} = \frac{3}{4} [/tex]
[tex] \frac{13 - y1}{8} = \frac{3}{4} [/tex]
[tex]13 - y2 = \frac{8 \times 3}{4} = 6[/tex]
[tex]y2 = 13 - 6 = 7[/tex]
y = 7
Plz help I need help now plz
Answer:
-840
Step-by-step explanation:
When we multiply two intergers with the same sign, the product will be positive. When we multiply intergers with different signs, the quotient will be negative
[tex]( - 5) \times ( - 3) = 15[/tex]
[tex]15 \times ( - 8) = - 120[/tex]
[tex] - 120 \times 7 = - 840[/tex]
HELPPPPPPPPPPPPP!!!!
Step-by-step explanation:
1) 4 terms
2) - 6
3) Coefficient = 4x³ + x - 3y
Step-by-step explanation:
There are 4 terms in the expression i.e, 4x²,x,3y and 6The value of the constant term is -64x²+x-3yI hope it was helpful
On a number line what is the distance between -3/2 and 6?
Answer:
7.5 unitsStep-by-step explanation:
The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.
This can be shown as:
|-3/2 - 6| = |-1.5 - 6| =|-7.5| = 7.5or
| 6 - (-3/2)| = |6 + 1.5| = |7.5| = 7.5Answer:
15/2 or 7.5
Step-by-step explanation:
Distance = x_2 - x_1
Distance = 6 - (-3)/2
Distance = 6 + 3/2
Distance = 12 + 3/2
Distance = 15/2 or 7.5
HELP PLZZZZZZZZZZZZZZZZZZZZZ FAST
Answer:
Three axis given
[tex]\\ \sf\longmapsto \overleftrightarrow{HI}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{EF}[/tex]
[tex]\\ \sf\longmapsto \overleftrightarrow{GJ}[/tex]
Now
All are intersected at one point G
Hope thia help u!!!!!...:/)
HELPPPPPPPPPPPPPP!!!
Answer:
bhfifgllffjnffeujusdjovcioffjdhdcjsdh
Step-by-step explanation:
vvvbbvblloiyfgcbbzjziodhjdoahvlxivfcpdoahjqpdhvdkdlldjgjdjkfkdjfvkkfkrkjtjtkkrkkrkkrkroktktkkyjykykktkktktkrkrknkdbfbdblslsoejbdbrbjtjkrkrkrkkrkrirkrkkrkriirfkfnfkfjtjtkktktjktkktktkjtktkkyktkktnnfjfbbfbdbdbbdjfjfjjfjfbfjfbrjbfbgvtcvyvyvcucucughyjrkrkkdjfbgbgjkglglrkkkkkkkkrkellel
Can’t figure out number 35 plz help
This is science btw
Answer:
it is valley
Step-by-step explanation:
it is a valley because the lower numbers in the middle suggest that it gets higher towards the outer layers which means that it goes down in the middle like a hole and a hole is like a valley. :) hope that makes sense
If 3 5/6 written as a whole number is four. How would you explain how do you know?
Answer:round up
Step-by-step explanation:since it’s 3 5/6 equals 3.8333333etc it’s rounded up because every .5 and up is rounded up and .4 and down is rounded down
this is hcf and lcm pls help me answer needed fast
Answer:
I HOPE IT WILL HELP YOU A LOT.
Please help I wanna get an a :(
Answer:
Graph C
Step-by-step explanation:
Point T is located on Graph C at T(1, 7). To help, (x, y) = count over however many spaces horizontally, then count however many spaces vertically.
It will always be this way.
You have a trailer with the following dimensions. Height 125cm. Length 2.4m. Width 1.65m. How much cub sand will you be able to load?
Answer:
18.75m³ of sand
Step-by-step explanation:
volume =lbh
h=125cm=1.25m
v=2.4*6.25*1.25
=18.75m³
The cub sand will be able to load 4.95m³.
To solve this question, we've to find the volume of the trailer and this goes thus:
Height = 125cm = 1.25m
Length = 2.4m.
Width = 1.65m
Volume = Length × Width × Height
Volume = 2.4m × 1.65m × 1.25m
Volume = 4.95m³
Therefore, the cub sand will be able to load 4.95m³.
Reas related link on:
https://brainly.com/question/24336786
53664 times 84 show work
What is the value of x4y, when x = 16 and y = 2?
1/32
2
2 2/3
4
1/32
Step-by-step explanation:
I am not sure about it .
x=15 is this a function how do you do it
Answer:
Step-by-step explanation:
what is 1 1/2 x 3/4?
Answer:
2 1/4
Step-by-step explanation:
First you have to do 2 x 1 = 2
Then add 2 + 1 = 3
Next do 3/2 x 3/4
You will have to find the common denominator which is 8
Do 4 x 3 = 12 and 3 x 2= 6
Add 12 + 6 = 18
You get the answer 18/8
You can go and put this answer into an improper fraction
2 2/8
Since 2/8 can be divided by 2
You will get an answer of 2 1/4
Answer:
4 1/8
Step-by-step explanation:
first, you do 11 * 3/ 2* 4 which equals 33/8.
Then you simplify 33/8 which is 4 1/8
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Answer:
Hello
how are you
step by step explanation
The following set of points are on the graph of a function:
X Y
2 5
3 6
4 7
5 8
6 9
7 10
Which point would be on the inverse of this function?
A (-6-3)
B (9,6)
C (-10-7)
Answer:
your needed answer is 9,7 ok
Which answer uses the distributive property to write an expression equivalent to 5(32). 5(32) 5+30+2 5(30+2) 5*30*2
Answer:
5(30 + 2)
Step-by-step explanation:
5(32)=160
5(30+2)=160
The rest equal different numbers
Answer:
5(30+2)
Step-by-step explanation:
whatever will be in the parentheses has to equal 32.
so the possible answer could be:
5(30+2)