Answer:
Because if you add the amount of Ys together it equals 3y
Step-by-step explanation:
item 10 question 1 identify the percent of change as an increase or a decrease. 5/4 to 3/8
[tex]\frac{(new) - (original)}{original} = \frac{\frac{3}{8}- \frac{5}{4} }{\frac{5}{4} }[/tex]
[tex]\frac{3}{8} - \frac{5}{4} (\frac{2}{2}) = \frac{3}{8} - \frac{10}{8} = \frac{-7}{8}[/tex]
[tex]\frac{-7}{8}[/tex] ÷ [tex]\frac{5}{4}[/tex]
= [tex]\frac{-7}{8}[/tex] * [tex]\frac{4}{5}[/tex]
= [tex]\frac{-7(4)}{8(5)}[/tex]
= [tex]\frac{-7}{2(5)}[/tex]
= [tex]\frac{-7}{10}[/tex]
= -0.70
multiply by 100 to get the percent: - 70% (the negative represents decrease)
Answer: 70% decrease
What roles did African American men take on during the war? Check all of the boxes that apply They worked as cooks. They enlisted in the Union Army. They served as generals in the army.
All except generals
Union supported African Americans as soldiers
They worked as slaves so obviously cooks
Answer:
They worked as cooks.They enlisted in the Union Army.Step-by-step explanation:
The emancipation proclamation allowed the African American men to serve in the Union army.
They worked as cooks. Enslaved blacks were sometimes used for camp labor also.
But they did not served as generals in the army.
Hence, the answer is :
They worked as cooks.They enlisted in the Union Army.If you finish one year of collage does it raise your income for the rest of your life?
If f(x) = 2x + 7 and g(x) = x2 2, what is [f o g](3)?
Answer:
The value [fog](3) is 29.
Step-by-step explanation:
The given functions are
[tex]f(x)=2x+7[/tex]
[tex]g(x)=x^2+2[/tex]
We have to find [fog](3).
[tex](f\circ g)(x)=f(g(x))[/tex]
[tex](f\circ g)(3)=f(g(3))[/tex]
[tex](f\circ g)(3)=f(3^2+2)[/tex] [tex][\because g(x)=x^2+2][/tex]
[tex](f\circ g)(3)=f(11)[/tex]
[tex](f\circ g)(3)=2(11)+7[/tex] [tex][\because f(x)=2x+7][/tex]
[tex](f\circ g)(3)=22+7[/tex]
[tex](f\circ g)(3)=29[/tex]
Therefore the value [fog](3) is 29.
The expression below is the factorization of what trinomial? -1(x - 6)(x + 8) apex question
Final answer:
The trinomial factorization -1(x - 6)(x + 8) corresponds to the trinomial -x² - 2x + 48.
Explanation:
The trinomial factorization you are asking about is -1(x - 6)(x + 8). To find out the trinomial it factors from, you need to multiply the two binomials together and then multiply by -1. Let's do this step by step:
Multiply the binomials using the FOIL method, which stands for First, Outer, Inner, Last. This gives us the following intermediate step: (x - 6)(x + 8) = x(x) + x(8) - 6(x) - 6(8)
Simplify the intermediate step: x² + 8x - 6x - 48
Combine like terms: x² + 2x - 48
Finally, multiply the entire expression by -1 to give the final trinomial: -x² - 2x + 48.
Thus, the trinomial factorization -1(x - 6)(x + 8) corresponds to the trinomial -x² - 2x + 48.
In the inequality, what are all the possible values of x? 2 − 3(2x + 1) < 6x(2 − 4) A) x ≥ 1 6 B) x ≤ 1 6 C) x ≥ − 1 6 D) x ≤ − 1 6
2 - 3(2x + 1) < 6x(2 - 4)
2 - 6x - 3 < 12x - 24x
-1 - 6x < -12x
-1 < -6x
Dividing by -6 both sides gives you;
1/6 < x or;
Final answer is x > 1/6
Answer:
A) x ≥ 1 6
: )
Defined Terms:
Opposite rays form a:
point
ray
line
plane
Rays are always named with two points rays
I'll Mark The First To Answer And Work Shown Brainliest!!!!!!!! PLEASE HELP ASAP
In 2005, there were 12,000 students at Beacon High. In 2010, there were 12,250. What is the rate of change in the number of students?
a. 250/yr
b. 50/yr
c. 42/yr
d. 200/yr
Answer:
Step-by-step explanation:
(2005, 12,000) (2005, 12,000)
x1 y1 x2 y2
m= (12,250-1200) / (2010-2005) = 250/5 = 50/1 = or 50
What is the solution of the equation when solved over the complex numbers? X2+24=0
The solution to the equation x² + 24 = 0 over the complex numbers is x = ±2√(6)i. After isolating x² on one side, we take the square root of both sides and introduce the imaginary unit i because the number under the square root is negative.
Explanation:To solve the equation x² + 24 = 0 over the complex numbers, we need to find values of x that satisfy the equation. This is a quadratic equation with 'a' as 1 (the coefficient of x²), 'b' as 0 (since there is no x term), and 'c' as 24.
We will first isolate x² by subtracting 24 from both sides of the equation:
x² = -24
Next, to find x, we take the square root of both sides. Remember that when we take the square root of a negative number, we get an imaginary number. The square root of -24 can be expressed as:
x = ±√(-24)
This simplifies to:
x = ±√(24) × ±i
Since √(24) is √(4 × 6), which simplifies to 2√(6), the final solution in terms of complex numbers is:
x = ±2√(6)i
A person travels to a destination at a rate of 50m/h and returns the next day at a rate of 40m/h. If the time returning is 1hour more than the time going, how many miles are traveled in all?
the time returning=x h,
the time going=(x-1) h,
s=t*v
s=(x-1)*50,
s=x*40,
(x-1)*50=x*40
x=5h,
s=t*v=5*50=250 miles
What is the solution of the equation when solved over the complex numbers? X2+24=0.
Answer:
[tex]x=+-2i\sqrt{6}[/tex]
Step-by-step explanation:
[tex]x^2+24=0[/tex]
To solve for x we need to get x alone
Subtract 24 from both sides
[tex]x^2+24=0[/tex]
[tex]x^2=-24[/tex]
Now take square root on both sides to remove the square
[tex]x^2=-24[/tex]
[tex]\sqrt{x^2} =\sqrt{-24}[/tex]
[tex]x=+-2\sqrt{-6}[/tex]
square root of -1 is 'i'
[tex]x=+-2i\sqrt{6}[/tex]
Answer:
Step-by-step explanation:
2i√6 and -2i√6 :))
Find f(6) if f(x) = x2 ÷ 3 + x.
4
10
18
f(x) = x2 ÷ 3 + x
f(6)
Replace X with 6 then follow order of operations.
6^2 / 3 + 6
6^2 = 36:
36 / 3 + 6
36 /3 = 12:
Add:
12 + 6 = 18
The answer is 18
he work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2). What will be the remainder over the divisor?
Explanation of how to find the remainder using long division with a polynomial expression.
Explanation:Long Division Example:
We are given (x² + 3x – 9) ÷ (x – 2). To find the remainder using long division, we need to divide x² + 3x - 9 by x - 2 step by step.
Start by dividing x² by x, which gives x. Multiply x by (x - 2) to get x² - 2x.
Subtract x² - 2x from x² + 3x to get 5x. Bring down the -9.
Repeat the process: divide 5x by x to get 5. Multiply 5 by (x - 2) to get 5x - 10.
Subtract 5x - 10 from 5x - 9. The remainder is 1, which is the value over the divisor x - 2.
Which of the following equations represents the line with a slope of negative 8/7 and a y-intercept of negative 3?
y = 8/7x - 3
y = 8/7x + 3
y = -8/7x - 3
y = -8/7x + 3
Answer:
y = -8/7x - 3
Step-by-step explanation:
A line represents a linear relationship between x and y with constant slope and defined for all values of x and y.
Any line equation in slope intercept form would be of the form
y =mx+c where
m = slope of line
and c = y intercept
In our quesion we are given that slope of line = -8/7
and intercept = negative 3 = -3
Hence equation is
y =-8x/7-3
(04.05)Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answer:
No
Step-by-step explanation:
11-10 = 1
He spent 1 hour more this week
Which is:
1/10 × 100 = 10% more
Marcus spent 10% more time doing homework this week. His calculation is wrong.
Time used last week by marcus = 10 hours
Time used this week by marcus = 11 hours
Difference in hours = 11 - 10 = 1 hour
This means that Marcus used 1 more hour this week than last week
% increase = 1/10 * 100
% increase = 10%
This shows that he spent 10% more time doing homework this week.
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Find the prime factorization of 210
A.) 2 X 3 X 5 X 7
B.) 2 X 3 X 35
C.) 2 X 7 X 15
To prime factorization would be A: 2 X 3 X 5 X 7
Because if your do 2 X 3 it would be 6
Then you do 5 X 7 it would be 35
And 6 X 35 would be 210
AND THAT IS FACTORING THE PROBLEM
[tex]210:2=105\\\\105:5=21\\\\21:3=7\\\\7:7=1\\\\210=2\cdot3\cdot5\cdot7[/tex]
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Which integer is closest to 0 on the number line?
A.
–12
B.
–8
C.
10
D.
14
An integer is close to zero if it is "small".
By small, we mean that it is small in absolute value. In fact, for any given distance [tex] d [/tex], there are two integers that are [tex] d [/tex] units away from zero: [tex]d [/tex] and [tex] -d [/tex].
So, for example, -6 is close to zero than 8, because -6 is six units away from zero, while 8 is eight units away from zero.
So, the answer is B, -8, because it is 8 units away from zero. The other options A, C and D are, respectively, 12, 10 and 14 units away from zero.
Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of excatly $900, how much money does dreya need to save in her final week of saving?
5 quarts of water are needed for every 2 pounds of chicken, how much water do you need per pound
The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use x to represent the number of ride tickets and y to represent the total cost.
Find the cost of admission to the fair. Explain how you found the cost of admission.
Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
Explain what the coefficient of x and the constant of your linear equation represents.
Answer:
Admission to the fair = $ 18
[tex]y = 2.50x +18[/tex].
Where the coefficient of x represents the cost of each ticket and the constant represents the cost of admission to the fair.
Step-by-step explanation:
The total money Henry spent was $ 55.50
If Henry only spent the money on the tickets for the rides and at the entrance to the fair, then we know that:
Bought 15 tickets at 2.5 $
Therefore the price of the admission to the fair is the total expense ($ 55.50) minus the expense in the tickets for the rides ($ 2.50 * 15)
55.50 - 15 * 2.50 = 18
So:
Admission to the fair = $ 18
Ticket for the rides = $ 2.50
So if we call y at the total cost and x the number of tickets for the rides:
[tex]y = 2.50x +18[/tex].
This is a linear equation that represents the total cost.
Where the coefficient of x represents the cost of each ticket and the constant represents the cost of admission to the fair.
To find the cost of admission to the fair, set up a linear equation using the given information: 2.5x + y = 55.50. The coefficient of x (2.5) represents the cost of each ride ticket, while the constant (55.50) represents the total expenditure that includes both the ride tickets and the admission fee.
Explanation:To find the cost of admission to the fair, we can set up a linear equation based on the given information. Let's denote the cost of the admission as y and the number of ride tickets as x. We are given that the county fair charges $2.50 per ticket, so the cost of the ride tickets would be 2.5x. Additionally, we know that Henry bought 15 ride tickets and spent a total of $55.50, so we have the equation 2.5x + y = 55.50.
The linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission is 2.5x + y = 55.50.
In this equation, the coefficient of x (2.5) represents the cost of each ride ticket, while the constant (55.50) represents the total expenditure that includes both the ride tickets and the admission fee.
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Can someone please help me?
Which of the sets of ordered pairs represents a function?
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
Jules reads that 1 pint is equivalent to 0.473 liters. He asks his teacher how many liters are in a pint . His teachers responds that there about 0.47 liters on a pint. He asks his parents they say they are about 0.5 liters in a pint. Jules says they are both correct . How can that be true explain your answer
For which values of x is the inequality 2(1 + x) > x + 8 true?
A) 3 & 2
B) 4 & 3
C) 6 & 5
D) 7 & 8
Sten had some apples in his basket. He ate 3 and then put 3 in each of 4 bags. How many apples did Sten start with in his basket?
3 * 4 + 3 = 12 + 3 = 15
Answer: He had 15 apples.
Solve for x. 14+x>18 Enter your answer, as an inequality, in the box.
x > 4 is your answer
Girl works at a book store she gets $145 per week plus 5% for every book sold she wants to have $600 by the end of the week, how many books does she need to sell?
please help asap 30 pts
[tex]-18-5y\geq52\qquad|\text{add 18 to both sides}\\\\-5y\geq70\qquad|\text{change the signs}\\\\5y\leq-70\qquad|\text{divide both sides by 5}\\\\y\leq-14\\\\Answer:\ \boxed{d.\ y\leq-14}[/tex]
Last year a business had profits of $8,000.This year its profits are 5 times as great.This are this year's profits?
What is the sum of the angle measures in a decagon?
1,800°
1,440°
1,260°
210°
Use the formula (n - 2) * 180 to find the sum of the interior measures of a polygon.
n stands for the number of sides that the polygon has, so substitute 10 for n since a decagon has 10 sides.
(10 - 2) * 180, start by solving inside the parentheses and subtracting 10 and 2.
(8) * 180, multiply.
B. 1,440 is your answer.