Step 1:
[tex]2 {x}^{2} - 5x - 12[/tex]
Step 2:
[tex]2 {x}^{2} - 8x + 3x - 12[/tex]
Step 3:
[tex]2x(x - 4) + 3(x - 4)[/tex]
Step 4:
[tex]\blue{(x - 4)(2x + 3)}[/tex]
Find the slope of each line.
Line A: (6,4) & (-3,-1)
Line B: (-6,0) & (3,5)
a) line a= 5/9 line b= 5/9
b) line a= 9/5 line b= 9/5
c) line a= -5/9 line b= -5/9
d) line a= -9/5 line b= -9/5
Answer:
a) line a= 5/9 line b= 5/9
Step-by-step explanation:
Use the slope formula:
m = y2 - y1
x2 - x1
Plug-in the known values for each line:
Line A: -1 - 4 = -5 = 5
-3 - 6 -9 9
Line B: 5 - 0 = 5
3 - (-6) = 9
*PLEASE ANSWER, I NEED HELP I DONT GET IT*
Answer:
the third graph
Step-by-step explanation:
2x<6/÷2 we get x<3
3x+2>-4
3x>-4-2
3x>-6/÷3
x>-2
Answer:
Basically how inequalities work is that they restrict equations into certain parts of graphs. So the answer would be C.
Step-by-step explanation:
You can do normal division on inequalities so you can do 2x<6 and then divide both sides by 2 to get the unit value of x. You get x<3
When something is < or >, the inequality graph will be an open circle.
When something is ≥ or ≤, the sign is a closed circle which basically means a filled in circle. Since both inequalities have the > or < sign, you know that both graphs have to have open circles, which basically mean a circle where you can see the center as a different color. It will be a circle like an o.
You now know that it is either A or C, but how to know which one?
You can simplify the inequalities as you know from before that 2x<6 is equal to x<3 so you can graph that on a number line. X is less than three, so the line should run away from three down to 0 and the infinity of negative numbers. C is the only answer that fits it. You may wonder though, "Why in C, does the line stop at -2 with another open circle?" That is because are two inequalities.
The first is x<3
but the other is 2x+2>-4
You can simplify that by subtracting 2 from both sides to get 2x isolated on the left side. You get 2x>-6.
Now you can divide both sides by 2, as we did previously at the beginning. You get x>-3 from dividing.
Finally you can graph that on the number line, but you know that x is greater than -3, so it should be an open circle starting from -3 heading out to the infinite cosmos of positive numbers.
BUT...
The two inequalities are separated by "and," meaning that they are related by the fact that they are directly connected. There are two possible words that separate inequalities, "and," and, "or."
In "or" statements, the two inequalities are not related, so the two inequalities would keep on going forever without regard to the other.
In "and" statements, the two inequalities are related, so the two inequalities would depend on each other to end off each other.
SO
Because they are connected with the word And,
They would end off at each other, so the original inequalities would depend on each other to continue, or to end off.
That is why the two inequalities would be a line from anything greater than -2 all the way to all the numbers below 3. The numbers could be anything from -1.999999999999999... forever, as long as they do not equal or go less than -2. The numbers could be anything from 2.99999999... forever, as long as they do not equal or go over 3.
Hope this helps!
Mrs. Williams shops at a store that has an annual membership fee of $30. Today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her coworkers. Her total was $105. Write and solve the equation to find the number of fruit baskets Mrs. Williams purchased.
Answer:
$15
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
:) hard to explain, and takes a LOT of typing I don't really wanna do
Please help Asap!
Directions: Write a recursive rule and an explicit rule for each arithmetic sequence.
86, 101, 116, 131, 146,...
112, 110, 108, 106, 104,...
Answer:
Step-by-step explanation:
86,101,116,131,146,...
a=86
c.d d=101-86=15
explicit formula
[tex]a_{n}=a+(n-1)d\\a_{n}=86+(n-1)15=86+15n-15=71+15n,n \in I,n>0\\[/tex]
recursive formula
[tex]a_{n}=a_{n-1}+15,a_{1}=86,n \in I,n \geq 2[/tex]
2.
112,110,108,106,104,...
a=112
c.d d=110-112=-2
explicit formula
[tex]a_{n}=112+(n-1)(-2) =112-2n+2=114-2n,n \in I,n>0[/tex]
recursive formula
[tex]a_{n}=a_{n-1}-2,a_{1}=112,n \in I,n \geq 2[/tex]
HURRY!
If Johnson had 1800 apples, and gives 347 to his mon, and hid dad gave him 2876, how many apples does he have.
Answer:
4329
Step-by-step explanation:
I coan't really explain this sorry.
I hope this helps though!
Also if it's correct could I have a Brainly I need 1 more to level up :3 Thx!
a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)
a)10
b)13
c)31
d)34
Answer:
The answer is 13 hope it helps!<3
Step-by-step explanation:
Suppose jefferson middle school had 616 students and averaged 28 students per teacher during the year. If Jefferson Middle Schools student population increases by 18% this year and 9% of last years teacers left, how many new teachrs does Jefferson need to hire to keep its average of 28 students per teacher
Answer:
6 more teachers are required.
Step-by-step explanation:
Total number of students = 616
No of teachers = 616/28= 22
Increase in students = 18%
= 18/100*616= 110.88= 111
Total number of students = 616+111= 727
Decrease in teachers = 9%
= 9/100*22= 1.98= 2
New number of teachers= 20
Now Average is 28 students per teacher so
727/28= 25.96= 26 teachers are required for the total number of 727 students. The school has already 20 teachers so they need 6 more teachers.
Ms. Leigh
wants to organize the desks in the study
hall into a square. If she has 64 desks,
how many should be in each row?
Answer:
8 in each row
Step-by-step explanation:
Perform the indicated operation.
-6 + 6
oo
0-12
O 12
Answer is 12
Because -6 + 6 = 12
If 6 candy bars cost a total of $12, then $2 is the ___________ of the candy bars. *
Base area of a room is 34m^2 and height of the room is 10m. Find the volume
Answer:
340 m³
Step-by-step explanation:
Hi there !
V = Ab×h
= 34m²×10m
= 340 m³
Good luck !
The volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.
Given the following data:
Base area of room = 34 [tex]m^2[/tex]Height of room = 10 metersTo find the volume of the room:
Mathematically, the volume of a room is given by the formula:
[tex]V = Bh[/tex]
Where:
V is the volume of an object.B is the area of an object.h is the height of an object.Substituting the given parameters into the formula, we have;
[tex]V = 34 \times 10[/tex]
Volume = 340 cubic meter.
Therefore, the volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.
Read more: https://brainly.com/question/22497109
can u simplify 18/56 into a fraction?
Answer:
9/28
Step-by-step explanation:
just divide by 2
Answer: 9/28
Steps: 18/56
Factor the number: 8 = 2 · 9
Factor the number: 56 = 2 · 28
Cancel the common factor: 2
9/28
Plz mark brainliest:)
Help with number 13. . . . . .
Answer:
6A, D
Step-by-step explanation:
So, you have A = b*h. The general formula for the area of a triangle. Then, we double the base and triple the height. We then get the expression (2b)*(3h).
Since it is multiplication, we can multiply 2 and 3 to get 6 and get 6*b*h.
Though, we know b*h is just A so we get 6A.
Triangle XYZ is rotated to create the image triangle X'Y'Z'.
On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.
R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)
Answer:
b. e
Step-by-step explanation:
Options B and E are the correct answers.
We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.
What is rotation?Rotation is the circular movement of an object around an axis of rotation.
Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.
The translation is (x, y) → (–x, –y).
Therefore, options B and E are the correct answers.
To learn more about the transformation visit:
https://brainly.com/question/11709244.
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Charlie's homemaking class makes aprons to give to a local soup kitchen. Each apron requires 2 1/4 yards of fabric, and the cost of fabric per apron is $9. What is the cost of 1 yard of fabric?
Answer:
4 dollars to get 1 yard
Step-by-step explanation:
Can someone please help me out ?
Answer:
the correct answer is D.
Answer:
-.25 + 2 keep adding a number to -.25 and youll figure it out, also without the x itll need 8.25 more to equal 10 or more to get past 10.
Step-by-step explanation:
4. Complete the following two-column proof.
Given: 5x - 2 = -12
Prove: x = -2
help please.
Answer:
x does equal -2
Step-by-step explanation:
Substitue x = -2:
[5(-2) -2 = -12]
Simplify:
[-10-2 = -12]
Add/Subtract from left to right:
[-12 = -12]
Therefore:
x = -2
Some
One help me with this
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Slope equals rise/run. You find one perfect point (-2,0) and another along the line (1,2)
You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.
What value is equivalent to (3^6)^3?
Answer:
1/2 is the simplified fraction for 3/6.
Step-by-step explanation:
im not sure but i think thats it
Answer:
387,420,489
Step-by-step explanation:
First, evaluate what is in the parentheses. This is equivalent to 729. Now take this number, and cube it (or do 729^3). This is equivalent to 387420489.
The ^ symbol means 'to the power of'.
For example, if you want to raise the number 5 to the power of 4, then you would do 5 ^ (to the power of) 4. Also looks like this: [tex]5^{4}[/tex]
Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6
Answer: -6 You answered your own question-
When a number Is decreased by 20% of itself, the result is 24. What is the number?
Answer:
1The answer is 19.2
Step-by-step explanation:
24 - 4.8 = 19.2
the number is 30.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, we have,
a number Is decreased by 20% of itself, the result is 24.
let, the number =x
then, we get,
x *80% = 24
i.e. x* 4/5 = 24
so, x= 30.
hence, the number is 30.
To learn more on percentage click:
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solve for X: 2(x + 5) + 3(x – 2) = 29
please explain too! will mark brainliest
Answer:
5
Step-by-step explanation:
2x+10+3x-6=29
5x+4=29
5x=25
x=5
Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.
Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
1. How can you tell the difference between the pre-image and image when only given the coordinates or a picture?
Answer:You need To tell them apart, they will usually be defined separately.
Step-by-step explanation:
if 1 mile is 5280 feet, and it is 2 miles from Ellie's house to the school, about how many feet is it from ellie's house to the school?
Gail Martinez is employed at My Best Books. She has family medical coverage through the group medical plan that My Best Books provides for its employees. The annual cost of Martinez's family membership is $3,900. The company pays 50% of the cost. How much does she pay annually for medical insurance? *
Answer:
$1850
Step-by-step explanation:
The annual cost of Martinez's family membership for medical insurance is $3,900.
The company pays 50% of the cost.
So, the cost paid by the company= 50% of $3,900.
[tex]=\frac {50}{100}\times 3900=\$1850[/tex]
The remaining cost for the family medical insurance must be paid by Gail Martinez.
So, the annual payment by her =$3900-$1850=$1850
Hence, she pays $1850 annually for medical insurance.
Please help!!! And explain step by step
Answer:
So I believe you are supposed to find the common denominator between the two so we know that 2 times 2 is 4 and 3 times 3 is nine, and when you multiply 2 and three you get 6. I believe the answer is (6).
Step-by-step explanation: A=6
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank cost today if the power–sizing exponent is 0.57 and the construction cost index for such facilities has increased from 180 to 600 over the last 15 years? Choose the closest value.
Answer:
The value is [tex]P_o = \$ 561958.9 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of the metal tank is [tex]C = 2000 \ gallon[/tex]
The duration usage is [tex]t = 15\ years \ ago[/tex]
The cost of 2000-gallon tank 15 years ago is [tex]P = \$100,000[/tex]
The capacity of the second tank considered is [tex]C_1 = 5,000[/tex]
The power sizing exponent is [tex]e = 0.57[/tex]
The initial construction cost index is [tex]u_1 = 180[/tex]
The new construction after 15 years cost index is [tex]u_2 =600[/tex]
Equation for the power sizing exponent is mathematically represented as
[tex]\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}[/tex]
=> Here [tex]P_n[/tex] is the cost of 5,000-gallon tank as at 15 years ago
So
[tex]P_n = [\frac{5000}{2000} ] ^{0.57} * 100000[/tex]
[tex]P_n = \$168587.7[/tex]
Equation for the cost index exponent is mathematically represented as
[tex]\frac{P_o}{P_n} = \frac{u_2}{u_1}[/tex]
Here[tex]P_o[/tex] is the cost of 5,000-gallon tank today
So
[tex]\frac{P_o}{168587.7} = \frac{600}{180}[/tex]
=> [tex]P_o = \frac{600}{180} * 168587.7[/tex]
=> [tex]P_o = \$ 561958.9 [/tex]