The factors of -24 which should be used to factorize the given quadratic equation are -8 and 3.
It is required to factorize the quadratic equation [tex]x^2-5x - 24[/tex] using the factors of -24.
The required combination of factors should be -8 and 3 because,
[tex]-8+3=-5\\-8\times3=-24[/tex]
Now, factorize the quadratic equation as,
[tex]x^2-5x - 24=x^2-8x+3x-24\\=x(x-8)+3(x-8)\\=(x-8)(x+3)[/tex]
Therefore, the factors of -24 which should be used to factorize the given quadratic equation are -8 and 3.
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give a name for the shaded angle below
Answer:
It's probably ∠PNC
There are 16 students in a class and 75% of these students passed their test. What number of these students passed their test?
Answer: 12 students passed their test
Answer:
12 students
Step-by-step explanation:
16 x .75 = 12
how do I evaluate this help me please like seriously help
13−0.75w+8x when w = 12 and x = 1/2
Answer:
8, see below
Step-by-step explanation:
put 13 and 1/2 in equation, then solve
13-.75(12)+8(1/2)
.75×12=9
8×.5=4
13-9+4=8
Is -90 a integers please help me
Answer:
Yes
Step-by-step explanation:
Any number that's a WHOLE NUMBER like 1, 2, 3, -1, -2, -3 etc. is an integer! (including negative numbers as listed.) However any fractions or decimals are NOT integers.
Hope this helps and have a nice day!
Fill in the missing number to complete the linear equation that gives the rule for this table.
f(x) = x
Answer:
4
Step-by-step explanation:
because 4x4 is 16
5x4 is 20
6x4 is 24
and so on
Answer:
f(x) = ax
Step-by-step explanation:
Which of the following is a solution of (x - 5)(x + 7) = 3x + 21
0
45
8
5
[tex](x - 5)(x + 7) = 3 x + 21[/tex]
[tex](x - 5)(x + 7) = 3(x + 7)[/tex]
[tex](x - 5)(x + 7) - 3(x + 7) = 0 \\ [/tex]
[tex](x + 7)(x - 5 - 3) = 0[/tex]
[tex](x + 7)(x - 8) = 0[/tex]
[tex]x + 7 = 0 \\ x = - 7[/tex]
Or
[tex]x - 8 = 0 \\ x = 8[/tex]
Jenny has a bag of lollipops leftover from Halloween.
There are 6 cherry
, 5 lemon, 2 grape,
3 orange and 4 lime. What is the probability that
Jenny randomly chooses a cherry lollipop?
3
Answer:
kinda low kinda high because there is also 5 lemon
Answer: probably low because you have a lot of lemon lollipops
Step-by-step explanation:
Please help!
Dean's car can travel 21 miles on a gallon of gas. If his gas tank holds 15 gallons, how far can he travel on a full tank of gas? Explain how you got your answer.
Answer: 315 miles
Step-by-step explanation:
21 times 15
its 315
line K bisects HJ if H = (-1,5) and J = (2,-3) find the midpoint
Answer:
I(1/2;1)
Step-by-step explanation:
if the midpoint is I(x;y)
=> [tex]\left \{ {{y=\frac{5-3}{2}=1 } \atop {x=\frac{-1+2}{2}=\frac{1}{2} }} \right.[/tex]
=> I(1/2;1)
Find the length of each colored line
Answer:
1: 2cm
2: 5cm
Step-by-step explanation:
Answer:
First one is 2, second is 5
Step-by-step explanation:
to make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should sarah use? explain
Answer:
She must use the ratio into 5.
Step-by-step explanation:
example- say the ratio is 2:3 so she must use 10:15 .
Help.....................
Answer:
180 degrees
Step-by-step explanation:
All interior angles are less than or equal to 180 degrees in a convex polygon.
(I might be wrong. Sorry if I am. Don't get mad at me)
Hope I helped :)
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D=m/v=35.0g/30.0 cm3
Hey, can you please help me with this? thanks btw :)
Answer:
9π
Step-by-step explanation:
Area of Circle: πr²
Diameter = radius * 2
Diameter = 3 * 2 = 6
Plug into the formula πr²
(3)²π ≈ 28.274 or 9π
It is a rational number because 98.45 can be turned into a fraction.
Answer:
Yes, but if you are looking for the answer it is 9845/100
Step-by-step explanation:
You are buying cupcakes for a school party. They are in a package of 6 for $8.50. You have budgeted no more than $40 to spend. If cost of the cupcakes is a function of the number of packages purchased, what is the largest element of the domain in this situation?
Answer: Largest element in the domain is 4
The largest number of packages you can buy is 4
======================================================
Explanation:
1 package costs 8.50*1 = 8.50 dollars
2 packages cost 8.50*2 = 17 dollars
3 packages cost 8.50*3 = 25.50 dollars
and so on. In general
x packages cost 8.50*x = 8.50x dollars
where x is a place holder for a positive whole number (1,2,3,...)
The total amount spent is 8.50x and the budget is $40
This means,
[tex]8.50x \le 40\\\\x \le \frac{40}{8.50}\\\\x \le 4.70588\\\\x \le 4\\\\[/tex]
We round down regardless of how close we are to 5.
If x = 4, then 8.50*x = 8.50*4 = 34
While if x = 5, then 8.50*x = 8.50*5 = 42.5
So we see we go over budget if we buy x = 5 packages.
This makes x = 4 the largest in the domain.
Recall the domain is the set of allowed x inputs. In this case, x is a positive whole number (since we can't buy half a package for instance).
PLEASE ANSWER ASAP!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!
Which equation represents a proportional relationship that has a constant of proportionality equal to 5?
y= x - 1/5
y= x+ 1/5
y= 1/5x
y= 5x
Answer:
Y=5x
Step-by-step explanation:
The first the options aren’t even whole numbers
y=5x
that is the correct answer because the constant is 5 and as long as the constant is 5 the upcoming numbers after that will the a multiple of 5. I hope the helps!!
Can someone help me please
Answer:
B
Step-by-step explanation:
What is the slope of the line that contains the points (1,-19) and (-2,-7)? Write in simplest form
Answer:
-4
Step-by-step explanation:
Logan has two aquariums. One aquarium contains 1.3 cubic feet of water and the other contains 1.9 cubic feet of water. The water in the larger aquarium weighs 37.44 pounds more than the water in the smaller aquarium. Write an equation with a variable on both sides to represent the situation. Then find the weight of 1 cubic foot of water.
Answer:
62.4
Step-by-step explanation:
1. 1.3x+37.44=1.9x
2. 1.3x+37.44-1.3x=1.9x-1.3x
0.6x=37.44
3. x=37.44/0.6=62.4
The weight of 1 cubic foot of water is 62.4 lb.
Representing Equation with variable on both sides
Let 'x' pounds be the weight of 1 cubic foot of water.
We know one aquarium contains 1.3 cubic feet of water. So, the weight of 1.3 cubic feet of water = 1.3x
The other aquarium contains 1.9 cubic feet of water. So, the weight of 1.9 cubic feet of water = 1.9x
It is given in the question that the water in the larger aquarium weighs 37.44 pounds more than the water in the smaller aquarium.
The equation would be
1.9x = 1.3x + 37.44
The above equation quality the condition of variable on both sides.
To find out the weight of 1 cubic foot of water, we will solve the above equation to find the value of x.
1.9x = 1.3x + 37.44
1.9x - 1.3x = 37.44
0.6x = 37.44
x = 37.44/0.6
x = 62.4
So, the weight of 1 cubic foot of water is 62.4 lb.
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The height, h, of a triangle can be found using the formula below when A is the area of
the triangle and b is the length of the base.
h =
2A
b
Solve the formula for Area when the height is 9 inches.
OA= 2.96
O A= 9b - 2
9.2
O A=%
O A = 6
Answer:
A = 9/2bStep-by-step explanation:
Given
h = 2A/bSolving for A when h = 9
A = bh/2A = 9b/2A = 9/2bLast option is correct
A wise woman once said ,”400 reduced by twice my age is 262”. What is her age ?
Answer:
131
Step-by-step explanation:
262 divided by 2 equals 131
Helpppppppp ill give brainliest
1. |-19-12|
2. |19-(-12)|
3. |10 - (-42)|
4. |-10 - 43|
5. |-1 - (-16)|
6. | 1-16|
7. | 0 - (-9) |
8. |0 - 9|
9. |-14.5 - 13|
10. | 14.5 - (-13)|
Answer:
1. -31
2. 31
3. 42
4. -53
5. 15
6. -15
7. 9
8. -9
9. -27.5
10. 27.5
Step-by-step explanation:
Sorry if some of them are wrong.
Caleb was building a birdhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. He was then able to cut the boards into pieces to use. What was the total length of the boards that he needed?
Answer:
The total length is 30 inches
Step-by-step explanation:
In Constitution of the Iroquois Nations, what does paragraph 12 mainly convey? please help
Answer:
mine free
Step-by-step explanation:
Which equation is represented by the graph?
A. y=x-2
B. y=x+2
C. y=1/x-2
D. y=1/x+2
Answer:
The correct answer will be A.
Write an inequality
I can work at most 30 hours per week
Answer:
[tex] h \le 30 [/tex]
Step-by-step explanation:
Let h = number of hours of work.
At most 30 hours means 30 hours or less.
[tex] h \le 30 [/tex]
PLEASE HELP AND ANSWER QUICKLY DUE SOON!!!!!
consider the function f(x) = 9x^2- 3x + 3
Determine the output produced by the input value x = 3.
Output: F(3) =
f(x)=2x+6 what is the value of f(7)
Solving a linear equation: Your hourly wage is $9.75 per hour plus
$0.80 for each unit you produce. How many units
must you produce in 1 hour so that your hourly wage
is $19.35?
Answer:
You must produce 12 units
Step-by-step explanation:
19.35 - 9.75=9.60
9.6/0.8=12
Answer:
the answer is 12 units
Step-by-step explanation:
u get 9.75 an hour and 0.80 for every unit so subtract 9.75 from 19.35 and u get 9.60 now divide that by 0.80 and u get 12 units