Answer:
(5x - 3)(7x + 4) .
Step-by-step explanation:
35x^2 - x - 12
= 35x^2 - 1x - 12
Now we multiply the first coefficient by the last:
35 * -12 = -420.
We need 2 values whose product is -420 and whose sum = the coefficient of x ( -1).
These are 20 and -21, so we rewrite the original expression as:
35x^2 + 20x - 21x - 12 Now we try to factor by grouping
5x(7x + 4) - 3(7x + 4) 7x + 4 is common so we have:
(5x - 3)(7x + 4) (answer).
It's not C, I took the test twice and C is wrong everytime.
Answer:
b
Step-by-step explanation:
17
Select the correct answer.
It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he
room than Nikki takes if she works alone.
When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation:
+
= 40
Which value is a solution of the rational equation that must be discarded because of the context?
OA. x = 0
OB. x= -10
OC. X = -18
OD. x= -72
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The value that is a solution of the rational equation that must be discarded because of the context is (b) x = -10
The equation is given as:
[tex]\frac 1x + \frac{1}{x + 18} = \frac{1}{40}[/tex]
Take the LCM
[tex]\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}[/tex]
This gives
[tex]\frac{2x + 18}{x(x + 18)} = \frac{1}{40}[/tex]
Cross multiply
[tex]40(2x + 18) =x(x + 18)[/tex]
Expand
[tex]80x + 720 =x^2 + 18x[/tex]
Collect like terms
[tex]x^2 + 18x - 80x -720 = 0[/tex]
[tex]x^2 - 62x -720 = 0[/tex]
Using a graphing calculator, we have:
[tex]x = 72\ or\ x =-10[/tex]
The value of x cannot be negative, because of the context.
So, the value that is a solution of the rational equation that must be discarded because of the context is (b) x = -10
Read more about rational equations at:
https://brainly.com/question/18446103
Answer:B- X = -10
Step-by-step explanation:
Solve the inequality. Define the solution set using numbers and symbols.
[tex]\frac{x+17}{x^2 +3} \geq 4[/tex]
(x + 17) / (x ² + 3) ≥ 4
x + 17 ≥ 4 (x ² + 3)
4x ² - x - 5 ≤ 0
(4x - 5) (x + 1) ≤ 0
The left side is equal to 0 when either
4x - 5 = 0 or x + 1 = 0
x = 5/4 or x = -1
For x < -1, we have both x + 1 < 0 and 4x - 5 < 0, so their product is positive and there are no solutions to the inequality in this interval.
For -1 < x < 5/4, we have x + 1 > 0 and 4x - 5 < 0, so their product is negative.
For x > 5/4, we have both x + 1 > 0 and 4x - 5 > 0, giving a positive product and thus no additional solutions.
The solution set is then the second interval, but including the endpoints since that makes the expression on the left equal to 0:
-1 ≤ x ≤ 5/4
Describe the end behavior of each linear function
Answer:
?????????
Step-by-step explanation:
please help me !!!! ill give brainly
Answer:
The answer is choices A.
Solutions:
m - 6 1/4 = 9 3/8
-3 1/8 - 6 1/4 = 9 3/8
So, the square root of 72 lies between the numbers which The number 72 lies between the perfect squares means the square root of 72 is v number
Answer: 64 and 81
Step-by-step explanation: I used my brain. :)
The number 72 lies between the perfect squares 64 and 81 . So, the square root of 72 lies between the numbers 7 and 8 , which means the square root of 72 is a rational number.
can you all like and 5 star, I would like to level up :)
the measure of angle JKM=?
the measure of angle JMK=?
Answer:
JKM = 36 degrees
JMK = 54 degrees
Step-by-step explanation:
Subtract right angle ( 90) from the 54 degress known and then you get 36 for JKM.
A) -60
B) -30
C) -10
D) 10
Answer:
B) -30
Step-by-step explanation:
multiply -20 by 3/2 to solve for x
TSolve the system of equations below by graphing. What is the solution rounded to the nearest tenth? (–1.1, 3.2) (0.2, 2.8) (0.7, –4.2) (2.7, 0.1)
Answer: Answer:The solution to the given system of equations is (2.8,0.1)
Step-by-step explanation: I got it correct on the Unit Test
x = -11 + 7y
5x + 2y = -18
Answer:
x = -4
y = 1
(-4,1)
Step-by-step explanation:
x = -11 +7y
5x + 2y = -18
This is a Substitution problem, so you put x = -11+7y into 5x+2y = -18
5(-11 +7y)+2y = -18
5(-11) = -55
5(+7y) = 35y
-55+35y+2y = -18
Now you add 35y and 2y which gives you 37y
-55+37y = -18
Now you add +55 from -55 and -18
37y = 37
You divide each side by 37 so that y = 1
Now you plug y(1) into the equation x = -11+7y
x = -11+7(1)
-11+7 = -4
x = -4
how many groups of 10 are combined in 2 and 20
Answer:
10 goes into 2, 1/5 times.
10 goes into 20, 2 times.
I hope this is good enough:
The ratio of green apples to red apples at a grocery store is 2 to 3. There are 78 red apples at the grocery store. What is the total number of apples at the store?
Answer:
52
Step-by-step explanation:
78 divided by 3 is 26
26 times 2 is 52
There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the math team?
Answer:
Step-by-step explanation:
5:8
A butcher has 3 pounds of ground beef that will be priced at $5.53 per pound. He divides the meat into
4 equal packages.
To the nearest cent, the price of each package is ?
Answer:
3 cents
Step-by-step explanation:
First you have to find the price of the 3 pounds of ground beef. Which is 3 • 5.53= 11,06 and then you are going to divide that by 4. Which is 11,06 ÷ 4 = 2,765
Which equation is the inverse of the function
CO B 2 ☺ ☺
g(n)= -5n+2
A) g - (n)
--n+
6
1
3
B) g(n) = 1+-n
2
2
C) g(n)= -1+2
3
5
D) g(n) = -51 + 19
4
a
b
I neeeddddfd helpppppppppp
Answer: A 4/16
Step-by-step explanation:
4/16 = 1/4
5/20 = 1/4
What is the equation of the line that passes through the point (5, -6)
and has a slope of –3/5?
Answer:
y = -3/5x - 3
Step-by-step explanation:
There are as many equivalence classes as there are which of the following? (Select all that apply.) What is the correct answer?
Answer Choices:
A. distinct horizontal lines in the plane
B. distinct integers
C. distinct real numbers
D. distinct vertical lines in the plane
E. distinct lines in the plane whose coordinates equal each other
Answer:
A. distinct horizontal lines in the plane.
C. distinct real numbers.
Step-by-step explanation:
There are only two possible relations which are equivalence. There can be horizontal lines in the plane which are equivalent to the real numbers. The integers may vary with the equation.
In a 7th grade class, the ratio of boys to girls is 3 : 2. How many boys and how many girls could be in the class? Make sure the class has 30 students or less.
Station One: Helena works for a publishing firm. She is considered an average typist and can
type 52 words/minute.If she continues at this rate, how many words would Helena type in 4
minutes?
Andrew makes $1 for
every bag of cans he
recycles. He has $2 in
his piggy bank. What
equation represents
the amount of money
Andrew has in his
account from recycling
bags of cans?
Answer:
1 + $1 = 2
Step-by-step explanation:
I think
suppose the equation for line a is given by y=-3/4x-2. if line a and a line b are perpendicular and the point -4, 1 lies on line b then write an equation for line b
Answer:
y=4/3x+19/3
Step-by-step explanation:
perpendicular = slope is the negative reciprical.
plug in the point (-4,1) for (x,y)
1(y)=4/3(-4)+b
1=-16/3+b
b=19/3
(btw how is this college math?? Im in 7th and i did it last year ;-;)
Pls help;)))))))))))))))(
Answer:
Option 2)
Step-by-step explanation:
In a function, any number can be an x-coordinate only once.
Option 1) The 2 appears twice as x.
Option 2) All x-coordinates are different.
Option 3) The 2 appears twice as an x-coordinate.
Option 4) The 3 appears twice as an x-coordinate.
Answer: Option 2)
Carter's football team played 10 games this season. They won only 20% of their games. How many games did Carter's team lose?
Your answer:
Among 2450 randomly selected male car occupants over the age of 8, 76% wear seatbelts. Among 2900 randomly selected female car occupants over the age of 8, 74% wear seat belts. Use a 0.1 significance level to test the claim that both genders have the same rate of seat belt use. Does there appear to be a gender gap?
a. There appears to be a gender gap because there is not a significant difference in the proportions.
b. There does not appear to be a gender gap because there is a significant difference in the proportions.
c. There does not appear to be a gender gap because there is not a significant difference in the proportions.
d. There appears to be a gender gap because there is a significant difference in the proportions.
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size for male car occupant is [tex]n_1 = 2450[/tex]
The number that wear seat belt is [tex]k_1 = \frac{76}{100} * 2450 = 1862[/tex]
The sample size for female car occupant is [tex]n_2 = 2900[/tex]
The number that wear a seat belt is [tex]k_2 = \frac{74}{100} * 2900 = 2146[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{x_1 + x_2 }{n_1 + n_2 }[/tex]
=> [tex]p = \frac{1862 + 2146 }{2450 + 2900 }[/tex]
=> [tex]p = 0.7492[/tex]
The sample proportion for male car occupant is
[tex]\^ p_1 = \frac{k_1}{n_1}[/tex]
=> [tex]\^ p_1 = \frac{1862}{2450}[/tex]
=> [tex]\^ p_1 = 0.76[/tex]
The sample proportion for female car occupant is
[tex]\^ p_2 = \frac{k_2}{n_2}[/tex]
=> [tex]\^ p_2 = \frac{2146}{2900}[/tex]
=> [tex]\^ p_1 = 0.74[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1 -p )}{ n_1 + n_2} }[/tex]
=> [tex]SE = \sqrt{\frac{0.7492 (1 -0.7492 )}{ 2450 + 2900} }[/tex]
=> [tex]SE = 0.005926[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p_1 - \^ p_2}{SE}[/tex]
=> [tex]z = \frac{0.76 -0.74}{0.005926}[/tex]
=> [tex]z = 3.37[/tex]
From the z table the area under the normal curve to the right corresponding to 3.37 is
[tex]P(Z > 3.37) = 0.00037584[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 3.37)= 2* 0.00037584 = 0.0007 5[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There appears to be a gender gap because there is a significant difference in the proportions
I need help the answers that are there are
SSS
SAS
ASA
AAS
HL and
Not enough information
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Congruency,
Two angles and one side, so the answer is
=> AAS Congruency Criterion.
f(x)=-2x+4
what is x when f(x)=-8
Answer:
20
Step-by-step explanation:
f(x) = -2 (x) + 4 (substitute x for the given value)
f(x) = -2 (-8) + 4 (multiply -2 and -8)
f(x) = 16 +4 (add 16 and 4)
f = 20
Can anyone help me with this the last answer choice is wrong
Answer:
It's the 2nd one
Step-by-step explanation:
Answer:
Step-by-step explanation:
for all x>6
x-6>0
[tex]\frac{6x-x^2}{x^2-4x-12} \\=\frac{-x(x-6)}{x^2-6x+2x-12} \\=\frac{-x(x-6)}{x(x-6)+2(x-6)} \\=\frac{-x(x-6)}{(x-6)(x+2)} \\=\frac{-x}{x+2} \\by~dividing~by~x-6[/tex]
help me please someone i’m stressing out rn :(
Answer:
Step-by-step explanation:
b i hope thate helps
Find x if a = 13 and C = 47.
Answer:45.167
Step-by-step explanation:
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you don't have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)