Step-by-step explanation:
15a)
[tex]x^2+4x=21[/tex] Subtract both sides by 21
[tex]x^2+4x-21 =0[/tex]
15b)
7 and -3 multiply to -21 and add to 4
The factors are (x+7)(x-3)
15c)
x+7 =0
x=-7
x-3=0
x=3
can someone help? it’s 7th grade math and im finishing this project for the end of the year
Answer:
c
Step-by-step explanation:
For any two integers A and B, A minus b is equal to a plus additive inverse of b is equal to a + Dash
Answer:
For any integer number n, the inverse additive of n is also an integer K such that:
n + K = 0
solving this for K, we get that:
K = -n
Then the inverse additive of n is -n.
Now that we know this let's complete this.
We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.
To check this:
a minus b is written as:
a - b
And a plus the additive inverse of b is:
a + (-b)
because -b is the additive inverse of b.
Remember the rule sign:
(+)*(-) = -
Then we can rewrite:
a + (-b) = a - b
Then the statement is true.
"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"
A factory puts 2,000 picture frames in each shipment. How many picture frames will the
factory put in 2 shipments?
picture frames
The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on, they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.
Answer:
83 racoons
Step-by-step explanation:
18+67- 2
you would subtract the two they found with tags
I'll give brainliest to the best answer if you help me with the image down below!
Includes: an explanation please
Answer:
3 Pounds
Step-by-step explanation:
2.82 rounded to the nearest whole number is 3.
If we wanted to round 2.82 to 2, it would have to be 2.49 or less
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Answer: y = 6x
Step-by-step explanation:
Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:
y = kx
Since y = 30 and x= 5,
30 = 5 × k
30 = 5k
k = 30/5
k = 6
Therefore, the equation that connects y to x will be:
y = kx
y = 6x
The equation that connects y to x is y = 6x.
What is infinity + infinity??
Answer:
Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.
Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.
Answer:
infinity + infinity = infinity
Step-by-step explanation:
Mark brainliest please :)
Translate the sentence into an equation,
Three times the sum of a number and 7 equals 2.
Use the variable y for the unknown number.
Answer:
3(y+7)=2
Step-by-step explanation:
whats the inverse of f(x)=x-3/5
Answer:
inverse: f-(x)=x+3/5
Step-by-step explanation:
Set f(x)=x and x=y
x=y-3/5
isolate y by adding 3/5 to both sides
x+3/5=y
this is the inverse :)
2. Which equation represents a line that is perpendicular to the line
represented by y = 2/3 + 1
How many of the following numbers are factors of 34 or multiples of 7? 1, 2, 3, 4, 8, 14, 17, 29, 56, 91
Answer:
6
Step-by-step explanation:
So here are the numbers that are factors of 34 and multiples of 7
1,2,14,17,56,91
So count the numbers, 6. And that's ur answer, believe me
eight less than seven times a number is six find the number
Answer:
2
Step-by-step explanation:
let the number be n , then
7n - 8 = 6 ( add 8 to both sides )
7n = 14 ( divide both sides by 7 )
n = 2
The number is 2
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats.
Which number line represents the graph of the solution to the inequality that represents the number of coats, c, that the seventh grade must still collect?
Answer:
The last number line or D.
Step-by-step explanation:
To find the remaining coats to be collected, subtract the coats that are collected from the total of coats needed.
So:
78 - 13= 65
They must collect a total of 65 and more to break the last year's record of 78 coats. Number line D, represents the solution of this inequality.
Hope this helps! Have a nice dayy! :)
Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible
ratio table for ingredients X and Y for the given number of servings?
Answer:
Table N 4
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx
Verify the table 4
For x=1, y=2
so
y/x=2/1=2
For x=2, y=4
so
y/x=4/2=2
For x=3, y=6
so
y/x=6/3=2
therefore
The constant of proportionality k is equal to 2 and the equation is equal to
y=2x
The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y
find inverse of function in form of ordered pair
Answer:
Great tip
READ THE TEXTBOOK
Help with this question
Answer:
Step-by-step explanation:
First find the first radius
c=88cm
=2*22/7*r=88cm
=r=14cm
22/7 (pie as common)(R1^2+R2^2=637cm)
14^2+R2^2=637cm
196+R2^2=637cm
R2^2=637-196=441
R2=√441
R2=21
first radius =14cm
second radius =21cm
these marbles are placed in a bag and two of them are randomly drawn. what is the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw
In other words, the number 4 goes in the green box.
============================================================
Explanation:
2 yellow + 3 pink + 5 blue = 10 total marbles
We have 5 blue out of 10 total, so 5/10 = 1/2 represents the probability of picking a blue marble.
Picking two marbles in a row is represented by the probability (1/2)*(1/2) = 1/4
The fraction 1/2 stays the same for both selections because we put the first marble back.
Find the recursive formula -80, 20, -5
Answer:
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
Step-by-step explanation:
The recursive formula lets us find a term in the sequence by multiplying the previous term by the common ratio r
Here r = [tex]\frac{20}{-80}[/tex] = [tex]\frac{-5}{20}[/tex] = - [tex]\frac{1}{4}[/tex]
Then recursive formula is
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
If the area of a circle is 36 pi, what is it's circumference?
Answer:
C = 12π or 37.7
Step-by-step explanation:
A = πr²
36π = πr²
π's get divided out and you are left with:
r² = 36
if you take the square root of 'r' it will equal the square root of 36, which is 6
C = 2πr
C = 2π(6)
C = 12π or 37.7
Answer
the answer is 12*sqrt pi
I need help on this one
Answer:
just look at the constant terms...
A: 5
B: 7
C: -5
1) 11-6 = 5 thus answer A
2) -3 -2 = -5 thus answer C
3) -5 - (12) = -5 + 12 = 7 thus answer B
Step-by-step explanation:
Which is another name for plane M?
what is the constant of proportionality in the equations 3y=2X?
Answer:
the coefficient of x is 2/3 which is the constant.
Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g. 1/2
5 6 7 8 9 10
TIME REMAINING
50:04
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y – 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Answer:
(x-a)(y-b)=r²
(x-(-3))(y-(-5))=r²
(x+3)2(y+5)2=36
cos 45°×tan 60°/cot 30° find the value
3x^2 + 14x
how do you factories this
Answer:
x(3x+14)
Step-by-step explanation:
what do those terms share? they share the letter "x"
therefore we multiply x by 3x^2/x + 14x/x
3x^2/x = 3x and 14x/x = 14
For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000
Answer:
D. -10000
Step-by-step explanation:
you really need to copy or type the question better.
I can only assume what you really mean.
I guess, you want to say that F(x) = 1/(x+1)
when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.
you also did not say from what direction we are getting closer to -1.
we could come from -2 and move closer and closer to -1.
in this case (x+1) would always be smaller than 0 (negative sign).
or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).
anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.
the only answer option with a larger absolute value is D (-10000).
so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.
you & three friends go to the twin carnival. you have a coupon for $20 off that will save your group money! if the total bill to get into the carnival was 100$ how much does one regular price ticket cost?
Answer:
$30
Step-by-step explanation:
100+ the twenty you got off is 120 and dvide 120/4=30 I am either making this way to easy or just dont understand lol
4x=6y= 6 and 2x+5y=11 by elimination show all work
Please help me!!! I will mark brainlist !!
Answer:
ans: x= 11/4 and y= 11/8
Step-by-step explanation:
4x=6y=6 mean
4x= 6 and 6y= 6 so, 6-6=0 i.e
4x - 6y = 0 say equation ....1
and given
2x + 5y = 11 say equation ....2
to solve by eliminating methods,
multiply equation....2 by 2 and subtract from ....1
i.e
4x - 6y =0
4x + 10y= 22
(-) (-) (-)
0+ (-)16y = - 22
y = -22/-16
y = 11/ 8
to get , x put y in either equation 1 or 2
I.e x= 11/4
this value of x and y satisfy both equations
5 - 3tan3x = 0 trên -π< x < π.
Step-by-step explanation:
the answer is In photo above