Answer:
x + 2 ( x - 20 )( 4 ) = -70
Step-by-step explanation:
hope this helps. . .<3
Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.
The equation is y−
Answer:
Step-by-step explanation:
Okay, so the point-slope form is
(y - y1) = m(x - x1)
Where m = the slope of the line
and where (x1, y1) is a point on the line
So, if the slope is 6, then m = 6
Now, you plug that and the point (4, -9) into the equation above.
(y -(-9)) = 6(x - 4)
y + 9 = 6(x - 4)
This is the point slope form of the line
a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?
Answer:
400 bushels of the 15%
600 bushels of the 10%
Step-by-step explanation:
x bushels of the 15% plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%
15x + 10(1000 - x) = 12(1000)
distribute
15x + 10000 - 10x = 12000
Combine like terms
5x = 2000
Divide both sides by 5
x = 400 bushels of the 15%
1000 - x = 600 bushels of the 10%
The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.
Let x be the bushels.
One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.
The linear equation can be framed:
15x + 10(1000 - x) = 12(1000)
By using the distributive property:
15x + 10000 - 10x = 12000
5x = 2000 (combine like terms)
x = 400 bushels of the 15%
= 1000 - x
= 1000 - 400
= 600 bushels of the 10%
Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
The graph below shows a distance versus time graph. What is the average speed
between 2 p.m. and 4 p.m.?
Answer Choices and Graph in the picture.
Answer:
option B is correct answer.
Step-by-step explanation:
(200-75)/2 = 62.5 miles per hour.
pls help!! please tell what the independent and dependent variables are, and a function that describes the situation. I will give brainly to whoever answers these!
Step-by-step explanation:
Part A:Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:
The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.
An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.
The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.
Part B:The function that represents the given situation is:
C(x) = 5x + 35
In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:
C(x) = 5x + 35
60 = 5x + 35
Subtract 35 from both sides:
60 - 35 = 5x + 35 - 35
25 = 5x
Divide both sides by 5 to solve for x:
[tex]\frac{25}{5} = \frac{5x}{5}[/tex]
x = 5
Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.
Note:
Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.
can anyone help with this, please
Answer:
Step-by-step explanation:
As the zeros are x = -2 and x = 2, the factors are (x + 2) and (x - 2)
y = C(x + 2)(x - 2) = C(x² - 4)
applying the y intercept of (0, 4)
4 = C(0² - 4)
C = -1
y = -1(x² - 4)
y = 4 - x²
Answer:
hi
Step-by-step explanation:
help please
i will give the best one
Solve the system of equations algebraically.
3x−6y=−15
−9x+12y=21
Answer:
(3x-9x)+12y-6y=21-15
-6x+6y=6.
I think that is the answer
Answer:
(3, 4)Step-by-step explanation:
Solve the system by elimination.
Divide the second equation by 3 and add to fist equation:
3x - 6y - 9x/3 + 12y/3 = -15 + 21/33x - 3x - 6y + 4y = -15 + 7-2y = - 8y = -8/-2y = 4Find the value of x:
3x - 6*4 = - 153x - 24 = - 153x = 24 - 153x = 9x = 3True or False?
The graph of the exponential function f(x) = a*, a>0, a #1, has no x-intercept.
Answer:
sorry! unfortunately I don't know the answer
Evaluate the expression
Answer:
7/12 or 0.583333333333...
Step-by-step explanation:
calculator
I think the answer is 0.83, tell me is it correct ok, I try to help you
Identify the measure of MN in the diagram.
Marsha Hansen, the manager of the Flint Plant of the Michigan Company is responsible for all of the plant's costs except her own salary. There are two operating departments within the plant, Departments A and B. Each department has its own manager. There is also a maintenance department that provides services equally to the two operating departments. The following information is available. (on the picture) Departments managers are responsible for the wages and supplies in their department. They are not responsible for their own salary. Building rents, utilities, and maintenance are allocated to each department based on square footage. Required: Complete the responsibility accounting performance reports below that list costs controllable by the manager of Department A, the manager of Department B, and the manager of the Flint plant.
I will post the template too
Part 1:
Answer:
Hello
Step-by-step explanation:
18 In the arithmetic sequence 4, 7, 10, 13, the ---BLANK--- is 3.
what is blank
Answer:
I don't understand
Step-by-step explanation:
Like How
How would I simplify these expressions? (Pre-Calculus) I know that you are supposed to multiply all of these to do so, but every time I do that, I still get the wrong answer. My textbook says that these are the answers:
19: -15 + 8i
21: 8 + 6i
23: 34
25: 85
Could anyone explain how they got these answers? Mine are way off. Is the book just wrong? In #21, how would 3 times 3 equal 8 in the answer? Am I missing something?
Since you have the answers, I'll just show the steps on how to get there.
============================================================
Problem 19
[tex](1+4i)^2\\\\(1+4i)(1+4i)\\\\1*1 + 1*4i + 4i*1 + 4i*4i\\\\1 + 4i + 4i + 16i^2\\\\1 + 4i + 4i + 16(-1)\\\\1 + 4i + 4i-16\\\\(1-16) + (4i+4i)\\\\(1-16) + (4+4)i\\\\-15 + 8i\\\\[/tex]
Keep in mind that [tex]i = \sqrt{-1}[/tex] by definition. Squaring both sides leads to [tex]i^2 = -1[/tex]
In the second step, I used the idea that x^2 = x*x. Right after that, I used the FOIL rule to expand everything out.
============================================================
Problem 21
We could follow the same idea as problem 19, but I'll use a different approach.
[tex](A+B)^2 = A^2+2AB+B^2\\\\(3+i)^2 = 3^2 + 2*3*i + i^2\\\\(3+i)^2 = 9 + 6i - 1\\\\(3+i)^2 = 8 + 6i\\\\[/tex]
The formula on the first line is the perfect square binomial formula.
============================================================
Problem 23
The FOIL rule can be used if you want, but I'll use the difference of squares rule instead.
[tex](m+n)(m-n) = m^2 - n^2\\\\(3+5i)(3-5i) = (3)^2 - (5i)^2\\\\(3+5i)(3-5i) = 9 - 25i^2\\\\(3+5i)(3-5i) = 9 - 25(-1)\\\\(3+5i)(3-5i) = 9 + 25\\\\(3+5i)(3-5i) = 34\\\\[/tex]
It turns out that multiplying any complex number of the form a+bi with its conjugate a-bi will result in a purely real number (that has no imaginary part). More specifically: [tex](a+bi)(a-bi) = a^2+b^2[/tex]
============================================================
Problem 25
We could use the difference of squares rule again, but I'll show a different approach. This time using the distribution rule. The FOIL rule could also be used if you wanted.
[tex](6+7i)(6-7i)\\\\x(6-7i)\\\\6x-7xi\\\\6(x)-7i(x)\\\\6(6+7i)-7i(6+7i)\\\\6(6)+6(7i)-7i(6)-7i(7i)\\\\36+42i-42i-49i^2\\\\36-49(-1)\\\\36+49\\\\85\\\\[/tex]
I used x = 6+7i and the substitution property to help distribute. Lines 3 and 6 are where distribution is applied.
If g(x)=5|30x+4|, find g(2/3)
Answer:
Step-by-step explanation:
g(x)=5|30x+4|
g(2/3)=5|30×2/3+4|
=5|20+4|
=5×24
=120
maria has a share of 2/10 slice of cake what is the difficult form of the fraction
A. 0.02
B.0.2
C.0.002
D.0.20
~fractions
= 2 ÷ 10
= B. 0,2 ✔️
the method is attached
~ nice to help you ^^
Original price of shorts $53.95 Discount 30% Tax 4.5 percent %
Answer:
$39.50 is the final payment.
Step-by-step explanation:
0.3 x 53.95 = 16.185
53.95 - 16.185
= 37.765
0.045 x 37.765 = 1.699425 + 37.765
= 39.464425 and round
Which of the functions represents a function?
Answer:
letter A or B but I think it's letter b
Answer:
The answer is A
Step-by-step explanation:
on edge 2021
An arrow is shot at an angle 32 degree from the horizontal. If it's height is increasing at 200 km/hr, how fast is the arrow itself going?
Check the picture below.
Bearing in mind that the angle is not changing all the wihle, namely is constant
[tex]tan(32^o)=\cfrac{y}{x}\implies x = \cfrac{y}{tan(32^o)}\implies x = \cfrac{1}{tan(32^o)}y \\\\\\ \stackrel{\textit{taking the derivative on bot sides}}{\cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}\cfrac{dy}{dt}}\implies \cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}200\implies \cfrac{dx}{dt}\approx 320.07~\frac{km}{hr}[/tex]
Write the number below as a fraction in its simplest form
0.41 recurring
Answer:
41/100
Step-by-step explanation:
Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100
Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart
Answer:
10km/h
Step-by-step explanation:
speed = distance/time
s = 150/5
s = 30km/h
the total must be 30km/hr
less the 20km/hr that Jerry is going
is the speed Susan must go in the opposite direction
30 - 20 = 10
10km/h
Select the interval where h(x)< 0.
Choose 1 answer:
(А) -3.5
(в) -2 < x < -1
(C) 2.5
Answer:
Step-by-step explanation:
C
can anyone solve this step by step for me
Answer:
0.5 ㏑ | 1-2x | +c
Step-by-step explanation:
Formula: ∫ 1/ax+b dx = 1/a ln Iax+bI +c
See attachment picture please
Answer:
How can we answer it without question?
Circles C and C′ are similar. State the translation rule and the scale factor of dilation.
Question 12 options:
A) To obtain C′, circle C is translated to the right four units and down three units and is dilated with a scale factor of one.
B) To obtain C′, circle C is translated to the left three units and up two units and is dilated with a scale factor of 1∕2.
C) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of one.
D) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of two.
A vehicle purchased for $25000 depreciates at a constant rate of 5% per year. Determine the approximate value of the vehicle 12 years after purchase. Round to the nearest whole number.
Answer:
$13,509.
Step-by-step explanation:
After each year the vehicle is worth 95% of the previous value.
95% = 0.95.
So after 12 years the approximate value
= 25000 * 0.95^12
= $13,509.
Which steps show how to use the distributive property to evaluate 5 * 58?
Answer:
B.
Step-by-step explanation:
When using the distributive property, you distribute the leading number to each number inside the parentheses.
Answer:
Option B is correct.
Step-by-step explanation:
The answer of Option B is correct. 58 × 5 = 290.
Therefore, Option B is correct.
Fluffy the bunny ate 1 4 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1 3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Answer:
She ate 5/12 of carrot hope it's help
There are 56 fourth graders going on a field trip. The teacher wants to divide them evenly into groups of 4 students and no more than 8 students. What are ways to divide the students evenly into groups
56 ÷14 =4
Step-by-step explanation:
dividing
56÷7=8
The first term of an arithmetic sequence is 4. The rule a↓n=a↓n+1 + 5 can be used to find the next term of the sequence.
a 4
b 5
c 9
d -1
Answer:
c. 9
Step-by-step explanation:
Using the rule, substituting 4 for a↓1, we find the next term to be ...
[tex]a_2 = a_1 +5\\\\a_2=4 +5\\\\\boxed{a_2=9}[/tex]
Write the prime factorization of 26.
Answer:
The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.
Step-by-step explanation:
Answer:
2 and 13
Step-by-step explanation:
First, we can see that the last digit of
26
is even, and thus
26
is divisible by
2
. If we divide by
2
, we find
26
2
=
13
. As
13
is a prime number, there are no further prime factors of
26
, and so the prime factorization of
26
is
2
×
13
.