(5x² - 8x + 1) + (2x2 - 4x - 11)
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Choose the correct equation to represent the number line model.
Answer:
-5 + -4 = -9
Step-by-step explanation:
-5 + -4 = -9
Start at 0.
You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).
And -4. Move 4 spaces left again. There you land at -9.
The plus sign is just to combine -5 and -4 together.
Thus the answer is:
-5 + -4 is -9.
Here’s why the other equations aren’t correct.
The first equation says “5 + 4 = 9”.
To represent this, you would move 5 spaces to the right (because the number is posititve.)
Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.
The second equation says “-5 + -9 = -14”.
To represent this, you would move 5 spaces to the left.
Then move 9 spaces to the left again. Which leaves you at -14.
Your final destination should be -9. Not anywhere else.
What is the probability of tossing 7 Coins and having 4 heads and 3 tails
Answer:
35/128
Step-by-step explanation:
7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.
Which table in this photo shows a proportional relationship between X and Y?
Hassan loves cruising in his new sports car. His only complaint is how much gas it uses, since it only gets 20 miles per gallon. If Hassan drives 60 miles per hour, how many gallons of gas does his car need for a 75-minute drive?
Answer:
3.75 gallons
Step-by-step explanation:
speed = distance/time
s = d/t
d = st
d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles
In 75 minutes of driving at 60 mph, he drives 75 miles.
fuel economy = distance/volume
volume * fuel economy = distance
volume = distance/(fuel economy)
volume = (75 miles)/(20 miles/gal)
volume = 3.75 gallons
Answer: 3.75 gallons
helpp whats the answer
5x=15
Answer:
[tex]\boxed{\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x=15[/tex]
and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.
[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=\frac{15}{5}[/tex]
[tex]x=3[/tex]
Let's check our solution. Plug 3 in for x and solve.
[tex]5x=15[/tex]
[tex]5(3)=15[/tex]
[tex]15=15[/tex]
This checks out, so we know our solution is correct.
The solution to 5x=15 is x=3.
Line segment AB has endpoints A (2, 3) and B(-4, 6). What are the coordinates of the midpoint of AB?
The midpoint of AB is (-1, 4.5)
x-coordinates: (2-4)/2 = -2/2 = -1
y-coordinates: (3+6)/2 = 9/2 = 4.5
Solution: (-1, 4.5)
i need help with this qurstion
-2 (4z - 4) = 10 - 6z
I think it’s z=1 hope this helps
Answer:
z=-1
Step-by-step explanation:
-2(4z-4)=10-6z
First, distribute the -2 into the parenthesis to get:
-8z+8=10-6z
Then, add 8z to each side to eliminate it from the left side to get:
8=10+8z-6z
Simplify the right side and combine the z's:
8=10+2z
Subtract 10 from BOTH sides to get:
-2=2z
Finally, to get z alone, divide everything by 2 to get:
-1=z or z=-1
Explain what the intercepts mean in terms of the context and how to find them.
Answer:
Intercepts in terms of graphing are considered to be points at which a function crosses an axis. In the standard x and y graph (the Cartesian coordinate grid), one would find the intercepts by simply plugging in the value of 0 for either the x or the y to find either the y or x intercept respectively. For example, to find the y-intercept, you want to find (0,y) and to find the x-intercept, you want to find (x,0).
Cheers.
0)
A car traveled 125 miles in 2.5 hours. If the car continued at the same rate, how far had it traveled after 3 hours?
Miles traveled after 3 hours =
Answer:
150
Step-by-step explanation:
125/2.5=50
50x3 =150
Answer:
150
Step-by-step explanation:
I took the Practice/Instruction :)
\small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle. \small m\angle L= degrees \small m\angle M= degrees
Answer:
[tex]L = 111[/tex]
[tex]M = 69[/tex]
Step-by-step explanation:
Given
[tex]L = 12x + 45[/tex]
[tex]M = 18x - 30[/tex]
Required
Determine L and M
Since both angles are supplementary;
[tex]L + M = 180[/tex]
Substitute values for L and M
[tex]12x + 45 + 18x - 30 = 180[/tex]
Collect Like Terms
[tex]12x + 18x= 180 - 45 + 30[/tex]
[tex]30x= 165[/tex]
Divide both sides by 30
[tex]x = \frac{165}{30}[/tex]
[tex]x = 5.5[/tex]
Substitute 5.5 for x in [tex]L = 12x + 45[/tex] and [tex]M = 18x - 30[/tex]
[tex]L = 12 * 5.5 + 45[/tex]
[tex]L = 111[/tex]
[tex]M = 18 * 5.5 - 30[/tex]
[tex]M = 69[/tex]
Solve the equation -7=8-3^5√x^3
Answer:
Exact form.... X= 5/81, - 5/81
Step-by-step explanation:
Hope this helps
solve for x in this equation below
9+3x=10
Answer:
in fraction form it is X= 1/3
in decimal form it is X= 0.3 rep.
Step-by-step explanation:
Is x – 3 a factor of 5x5 – 3x4 + 2x2 – 9x + 12 ?
Answer:
No
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
If (x - 3) is a factor of the polynomial then f(3) = 0
Given
f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then
f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12
= 5(243) - 3(81) + 2(9) - 27 + 12
= 1215 - 243 + 18 - 27 + 12 = 975
Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial
A pitcher throws a 98 mph fastball. How fast is this in feet/second?
Answer:
143.733 f/s
Explanation:
for an approximate result, multiply the speed value by 1.467
someone please help me
El M.C.M de: 60; 80 y 90
Step-by-step explanation:
wrong question.........??????
Answer:
what ?
Step-by-step explanation:
Natalie is in the business of manufacturing phones. She pays a cost of $50 per
phone produced for materials and labor and also must pay a daily fixed cost
of $900 to rent the building and equipment. Make a table of values and then
write an equation for C, in terms of p, representing total cost, in dollars, of
producing p phones in a given day.
Answer:
C = 50p +900
Step-by-step explanation:
Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).
Equation: C = 900 +50p
__
The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.
What is an algebraic expression for "2 less than the product of 3 and a number x"? *
Answer:
3x-2
Step-by-step explanation:
The algebraic expression is 3x -2.
What is an algebraic expression?Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine an algebraic expression for "2 less than the product of 3 and a number x"
Here, the product of 3 and a number x
⇒ 3x
Therefore, 2 is less than the product of 3, and a number x as
⇒ 3x -2
Hence, the algebraic expression is 3x -2.
Learn more about an algebraic expression here:
brainly.com/question/13947055
#SPJ2
Find the mean:
9, 9, 3, 2, 8, 7, 4
Answer:
Step-by-step explanation:
mean aka average: (9+9+3+2+8+7+4)/7 = 6
Answer:
6
Step-by-step explanation:
Mean = Sum of the numbers/total no of numbers
There are 7 numbers
[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]
Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..
How far away from home is he after a half hour?
Hi there!
Your answer to this question would be, B) 2 miles.
Happy to Help!
help please my teacher won't help me .
the answer to #2
Answer:
b
Step-by-step explanation:
a is not correct because the domain includes negative numbers as well
c is not correct because the domain includes positive numbers as well
and
d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)
hope this helps :)
Calculate the median for the following test scores.
55, 55,22,64,78,99, and 100
A bag of flour contains ten cups of flour. In a cookie recipe, one batch requires 1/4 cup of flour. How many batches of cookies can you make with a whole bag of flour? *
Division is one of the four fundamental arithmetic operations. The number of batches of cookies to make from a bag of flour is 40.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that a bag of flour contains ten cups of flour. And one batch requires 1/4 cup of flour. Therefore, we can write,
The number of cups of flour in a bag = 10 cups of flour
The number of cups required to make one batch of cookies = 1/4 cup of flour
The number of batches of cookies can be made with a bag of flour is,
Number of Batches = 10 cups of flour / 1/4 cup of flour per batch
= 40 batches
Thus, the number of batches of cookies to make from a bag of flour is 40.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
X+y=-4
2x+4y=-12
Stop by substitution
Answer:
X=4-y
2(4-y)+4y=12
8-2y+4y=12
2y=12-8
2y=4
y=4/2
y=2
x=4-y
x=4-2
x=2
what is "Triple y to the 5 power"
What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?
27
29
30
33
The value of y is 27. (first option.)
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
27
Step-by-step explanation:
2(3y + 6 +3)
2(9 + 3y)
18 + 6y
18 + 6y = 196 -16
6y =196 -16 -18
6y = 162
162 divided by 6 = 27
y =27
If you drive 70 miles per hour, how many minutes does it take to drive 110 miles?
Answer:
127.6 mins
Step-by-step explanation:
70m per 1hr
1 mile per 1.16 min
110 mile × 1.16 min per mile
127.6 minutes
Solve the equation for the variable.
[tex]13x - 3.4 = 17.6 + 10x[/tex]
x = [?]
Answer:
[tex]13x - 3.4 = 17.6 + 10x[/tex]
[tex] = ) \: 13x - 10x = 17.6 + 3.4[/tex]
[tex] = ) \: 3x = 21[/tex]
[tex] = )x = \frac{21}{3} [/tex]
[tex] = ) \: x = 7[/tex]
x = 7
Step-by-step explanation:13x - 3.4 = 17.6 + 10x
13x - 10x = 17.6 + 3.4
3x = 21
x = 21 : 3
x = 7
Evaluate -2 + W for W = -7.1
Answer:
did you know that a W is the upside down logo of McDonald's?
okay but seriously though, the answer in -9.1
Answer:
-9.1
Step-by-step explanation:
-2+7.1=-9.1. you just add them together when they are both negatives