We need to find two numbers that
Multiply to -5 (last term)Add to -4 (middle coefficient)Through trial and error, those two numbers are 1 and -5
1 times -5 = -51 plus -5 = -4So this means x^2-4x-5 factors to (x+1)(x-5)
This is the same as (x-5)(x+1) since the order of multiplication doesn't matter.
If GHJ is an equilateral triangle, Gh=5x-13, HJ=11x-61, and GJ=7x-29, find x and the measure of each angle.
Answer:
x = 8
Step-by-step explanation:
Since the triangle is equilateral, then the 3 sides are congruent.
Equate any 2 sides and solve for x, that is
7x - 29 = 5x - 13 ( subtract 5x from both sides )
2x - 29 = - 13 ( add 29 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
The triangle is equilateral, thus the 3 angles are congruent, thus
The measure of each angle is 60°
The value of the variable 'x' will be 8. And the measure of each angle will be 60°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
If triangle ΔGHJ is an equilateral triangle.
GH = 5x - 13, HJ = 11x - 61, and GJ = 7x - 29
In the equilateral triangle, all the sides of the equilateral triangle are equal and each angle of the equilateral triangle will be 60 degrees.
GH = HJ = GJ
From the first two-term, then the value of the variable 'x' will be calculated as,
GH = HJ
5x - 13 = 11x - 61
11x - 5x = 61 - 13
6x = 48
x = 8
The value of the variable 'x' will be 8. And the measure of each angle will be 60°.
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If 24 of the 30 students finished the assignment in class, what fraction of the students finished in class. Please help I need it soon and I’ll give you Brainly
24/30 or 4/5
24 of the 30 students= 24/30
24/30=4/5
4/5 is the simplified fraction
7.205 divided by 2.5
Answer:
2.882
Step-by-step explanation:
Answer:
2.882
Step-by-step explanation:
7.205 ÷ 2.5 = 2.882I hope this helps!
What is the shapes shown in the attachment below?
32.161
- 5.9
( please show the work if you can lol will give brainliest!! )
Answer:
26.261
Step-by-step explanation:
32.161
- 5.900
26.261
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
We want to create and study a function that models the given situation.
We will find that the correct option is:
"The values of both x and y will be real numbers greater than or equal to 0."
The information that we have is:
Peaches are being sold for $2 per lb.
Then if we define x as the number of pounds that you buy, and y as the cost of these peaches, we can write the function:
y = $2*x
Now we want to see which statement describes the values of x and y.
Let's analyze each statement:
1) "The values of both x and y can be any real number."
False, a real number is -3, and you can't buy a negative number of peaches.
2) "The values of both x and y will be real numbers greater than or equal to 0."
Here we removed the above problem, so this works fine.
3) "The value of x and y will always be zero"
No, you can buy 2 pounds of peaches and you will pay:
y = $2*2 = $4
So neither x nor y need to be zero.
4) The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Here we do not have problems, but there are some cases where the cost could be a fraction, like if you buy 0.25 lb of peaches:
y = $2*0.25 = $0.5
So the cost does not need to be an integer.
Finally, we can see that the correct option is:
"The values of both x and y will be real numbers greater than or equal to 0."
If you want to learn more, you can read:
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Answer:
B.
Step-by-step explanation:
I just did it and got it right
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A) 3x, -2x and 5x2
B) 3x and -2x
C) 3x, 3xy, -2x and 5y
D) All terms are alike.
Answer: B
Step-by-step explanation: Only 3x and 2x Have the exact same variable
What is the value of the expression below when w = 3?
8w - 9
Answer: W=6
Step-by-step explanation:
8w-10
W=6
8(6)-10
48-10
38
Write a numerical expression for each phrase. Then simplify and
answer the question.
You are $2 in debt. You borrow $4 more. What is the total
amount of your debt?
From 0°F. the temperature increases 15 degrees and then drops
25 degrees. What is the current temperatures?
Answer:6
Step-by-step explanation:
Answer:
-2 + (-4) = x
-2 -4 =x
-6= x
0+15+(-25) =x
15-25=x
-10=x
Step-by-step explanation:
Is 5 in the solution set of x+3>8
Answer:
It 5 would not be x
Step-by-step explanation:
If 5 was x, then it would be equivalent, because 5+3 = 8. I hope this helped.
The solution is x > 5 of the set of x+3 > 8.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Here 5 is no solution to the given problem because there is no sign of equality.
Due to the fact that 5+3 = 8, if 5 were x, it would be equivalent.
We have to determine the solution set of x+3 > 8
Given inequality as
⇒ x + 3 > 8
Subtract 3 from both sides of the inequality,
⇒ x + 3 - 3 > 8 - 3
⇒ x > 5
Therefore, the solution is x > 5 of the set of x+3 > 8.
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At Chrissy's Clothes Warehouse, it takes of a day to complete of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
days
days
25 days
1/10 of all take 2/5 time
10/10=10 times 1/10
so 10 times 2/5 time=20/5=4 days to finish 1 order
4 days
Which table describes a linear function that has a slope of 2?
Answer:
Table (4)
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table (1),
Two points lying on the graph are (2, 1) and (6, -1).
Slope of the line = [tex]\frac{1+1}{2-6}[/tex] = [tex]-\frac{1}{2}[/tex]
From the table (2),
Two points lying on the linear function are (0, 8) and (2, 4).
Slope of the line = [tex]\frac{8-4}{0-2}[/tex] = -2
From the table (3),
Two points are (-4, 4) and (-2, 5).
Slope of the line = [tex]\frac{5-4}{-2+4}[/tex] = [tex]\frac{1}{2}[/tex]
From table (4),
Two points lying on the function are (-2, 0) and (0, 4).
Slope of the line = [tex]\frac{4-0}{0+2}=2[/tex]
Therefore, Table (4) represents a linear function with slope 2.
59°
(3x + 4)º
A) 7
C) 9
B) 6
D 5
mustafas soccer team is planning a school dance as a fundraiser. the dJ charges $200 and decorations cost $100. the team decides to charge each student $5.00 to attend the dance. if n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit
A. 5n - 300 = 1,500
B. 5n + 300 = 1,500
C. 5n - 200 + 100n = 1,500
D. 5n - 109 - 200n = 1,500
Answer:
It is A on edge 2020
Step-by-step explanation:
The equation of the number of students needed to make $1,500 in profit will be 1,500 = 5n – 300. Then the correct option is A.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Mustafa's soccer team is planning a school dance as a fundraiser.
The DJ charges $200 and decorations cost $100.
The team decides to charge each student $5.00 to attend the dance.
If n represents the number of students attending the dance.
The total amount of expenses will be
Total Expense = $200 + $100
Total Expense = $300
The total amount of charges will be
Total Charge = 5n
Then the amount of the profit will be
Profit = Total charge – Total expense
1,500 = 5n – 300
Then the equation can be used to find the number of students needed to make $1,500 in profit will be 1,500 = 5n – 300.
Then the correct option is A.
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Can someone help me, please and thank you? I'll give BRAINLEST to the person who gets it right!!! Please have explained how to get the answer
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
3)
[tex]15n=105\\n=17[/tex]
4)
[tex]-9=\frac{n}{15} \\n=-135[/tex]
5)
[tex]-14x=14\\x=-1[/tex]
Answer:
Kid you really shouldn't be cheating, but I'll let it fly. Good Luck :)
Step-by-step explanation:
Solve Each Equation:
1. -102 = -6r
-r = -17
r=17
2. n-10=19
+10 +10
n = 29
3. 15n = 105
n = 7
4. -9 = n/15
*15 *15
n = -9
5. -14x = 14
x=-14
6. -66 = 6m
m = -11
7. n+10 = 3
-10 -10
n=-7
Find the coordinates of the point p, 3/4 of the distance from m(-5,8) to n(3,0)
Answer: (1,2)
Step-by-step explanation: In order to get 3/4 the distance, you have to use midpoint formula. Use midpoint formula to get the midpoint between M and N. In this case it would be the square root of ((x1+x2/2),(y1+y2/2)) (you can google this if it is not clear because of formatting). Once you get the midpoint of M and N, should be (-1,4) and we will call this point Z for reference, you find the midpoint of the original midpoint (point Z aka (-1,4) in our case) and point N. In doing this, your math should come out to the new point that is 3/4 to the distance. This point should be (1,2) if I am not mistaking.
Suppose you want to buy a car that costs $11,800. The expected depreciation of the car is 22% each year. You take out a four year loan to pay for the car. How much will the car be worth after 4 years?
Answer:
Around $4,368
Step-by-step explanation:
The initial cost is $11,800.
Each year, the new value will be 22% less than the previous year. Meaning that for each year that passes, the initial value will be multiplied by 0.78:
22% = 0.22
1 - 0.22 = 0.78
The value of the car after 4 years can thus be expressed as:
[tex]11800 * 0.78 * 0.78 * 0.78 * 0.78[/tex]
Or:
[tex]11800 * 0.78^4[/tex]
[tex]11800 * 0.78^4 \approx 4368[/tex]
Answer: around $4,368
Step-by-step explanation:
Around $4,368
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WILL GIVE BRAINLIEST PLS ANSWER ASAP!!! What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )? x = −6 x = −4 y = −6 y = −4
Answer:
Slope of the given line= 0
Parallel lines have same slopes. Therefore, slope of the line passing through (-4,-6) =0.
Eq of line=
y+6= 0(x+4)
y+6=0
y= -6
please hurry i need help please
Answer:
(x-3)(x-7)
Step-by-step explanation:
[tex]f(x) = x {}^{2} - 11x + 24 \\ g(x) = x - 3 \\ f (x) - g(x) = x ^{2} - 11x + 24 + x - 3 \\ collect \: like \: terms \\ f - g(x) = x ^{2} - 11x + x + 24 - 3 \\ f - g(x) =x ^{2} - 10x + 21 \\ f - g(x) =x ^{2} - 3x - 7x + 21 \\ f - g(x) =x(x - 3) - 7(x - 3) \\ f - g(x) =(x - 3)(x - 7)[/tex]
hope it helps2.1.12
Determine whether the following statement is true or false.
The graph of f(x) = (x + 7)2 + 4 has its vertex at (7,4).
Choose the correct answer below.
O False
O True
ANSWER ASAP PLSS!
Answer:false
Step-by-step: just use the equation and put it in the graph
I NEED THE ANSWER ASAP
Answer:
x = 20
Step-by-step explanation:
angles 2 and 3 are alternate interior angles, which means they're equal. so, we can make this equation: 3x-10 = x+30
3x - 10 = x + 30
2x - 10 = 30
2x = 40
x = 20
hope this helps!
Each batch of cookies uses 0.75 cups of sugar. How many cups of sugar are used in 4.5 batches of cookies?
A) 3.375
B) 3.75
C) 4.375
D) 4.75
Answer:
A)3.375
Step-by-step explanation:
0.75 * 4.5 = 3.375
Answer: A)3.375
Few years late
Solve for x.
-6x + 14 <-28
OR
9x + 15 <-12
Answer:
-6x+14<-28= x>7
9x+15<-12= x<-3
Step-by-step explanation:
help
solve question A and B
I really appreciate it... I will mark as brainliest
A 2:4
B 4:6:12
C 0.6:2.4
Distance from school to shop is 12 km
Answer:
9/4= x/8 = x = 9x8/4= 18
18+4= 22
what is -2(2x - 1) = 22?
Answer:
x = -5
Step-by-step explanation:
-2(2x - 1) = 22
Distribute;
-4x + 2 = 22
Subtract 2 from both sides;
-4x = 20
Divide both sides by -4
x = -5
(1.2 x 105) + (5.35 x 106)
Answer:
693.1
Step-by-step explanation:
(1.2 x 105) +(5.35 x 106)
1. 1.2 x 105=126
2. 5.35 x 106=567.1
Your answer is 693.1.
Remove unneeded parentheses from both equations.
That will give us the following...
1.2 x 105 + 5.35 x 106
So now lets solve 1.2 x 105.
1.2 x 105=126
Next, lets solve 5.35 x 106.
5.35 x 106= 567.1
Finally, we add the two together!
126+567.1=693.1
Up above is your final answer!
If this helped please mark me as brainliest!
someone pleaseeeeeeee helpppppp me pleaseee
Answer:
Step-by-step explanation:
20: is a drawing with compasses and rular
18e³f+45e²f^4 ( take 9 as a common factor, e² and f)
9e²f(2e+5f^3)
x²-4x-12 ( factorize)
(x-6)(x+2)=0
either : x-6=0
then x=6
or x+2=0
then x=2
(-3,-2) and (-8,4)
what is the distance between them in radical form
Answer:(-4,5)
Step-by-step explanation:If you put (-3,2) and (-8,4) on a number line then it would be (-4,5).
1 = 1/4(2x + 8)
Need help finding the answer to this!!!
1 = 1/4(2x+8)
1 = 1/2x + 2
1 - 2 = 1/2x
(-1) = 1/2x
x = (-1) : 1/2 = (-1) × 2/1 = (-2)
Answer : x = (-2)
Answer:
x = -2Step-by-step explanation:
1 = 1/4(2x + 8)
4 = 2x + 8
4 - 8 = 2x
x = -8/2
x = -2
d ÷ 4 = 3 d=? what does the d equal
e ÷ 8 = 3 e=? what does the e equal
Answer:
d = 12
e = 24
Step-by-step explanation:
12 ÷ 4 = 3
24 ÷ 8 = 3