Answer:
[tex]\boxed{\bold{6x^2+5x-\frac{4}{15}}}[/tex]
Explanation:
[ Step One ] Remove Parenthesis: (a) = a
[tex]\bold{8x^2-3x+\frac{1}{3}-\left(2x^2-8x+\frac{3}{5}\right)}[/tex]
[ Step Two ] Simplify: [tex]\bold{-\left(2x^2-8x+\frac{3}{5}\right): \ -2x^2+8x-\frac{3}{5}}[/tex]
[tex]\bold{8x^2-3x+\frac{1}{3}-2x^2+8x-\frac{3}{5}}[/tex]
[ Step Three ] Simplify [tex]\bold{8x^2-3x+\frac{1}{3}-2x^2+8x-\frac{3}{5}: \ 6x^2+5x+\frac{1}{3}-\frac{3}{5}}[/tex]
[tex]\bold{6x^2+5x-\frac{4}{15}}[/tex]
[ [tex]\boxed{\bold{Final \ Answer}}[/tex] ]
➤ [tex]\bold{6x^2+5x-\frac{4}{15}}[/tex]
[tex]\boxed{\bold{Mordancy}}[/tex]
How do I work this problem out
Answer:
6^2 + 8^2 = c^2
36+ 64 = c^2
100 = c^2 | sqrt
10 = C
Let's Find Angles :
sin BCA = 6/10 = 0.6 => 37 degree
90 degree + 37 degree = 127 degree
Angle BAC = 180 degree - 127 degree = 53 degree
The side AC is 10
Step-by-step explanation:See the image attached
What would the answer be because I already tried everything and I just can’t get it
Answer:
e = 56
Step-by-step explanation:
Use cross multiplication.
28 * 14 = 7e
Simplify
392 = 7e
Divide each side by 7
e = 56.
Answer:
cross muiltiply the euqation
28 * 14 = 7e
e= 56
give thanks :D
Estimate how many times larger 5x10^8 is than 24x10^6. A) 10 times larger
i believe its 20 times larger
A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of the line that represents its elevation, y, after x seconds?
A.
y = 9x − 10
B.
y = -9x − 10
C.
y = 9x + 10
D.
y = -9x + 10
Diving means it is moving down so it would be a negative value.
You would need to multiply the rate by the number of seconds it dives, so you would have -9x for that part.
The dolphin started at 10 feet below sea level which would be written as -10.
To find the elevation you would need to add both parts together, which would give you:
y = -9x -10
The answer is B.
Answer:
the answer is b :)
Step-by-step explanation:
Write the equation for 5x + 2y = 3 in slope-intercept form.
y = 5/2 x - 3/5
y = -5/2x + 3/2
y = -2/5x +3/5
the answer is :
y = -5/2x + 3/2
Answer:
Choice b is correct.y = -5/2x+3/2 is the slope intercept form of given equation.
Step-by-step explanation:
We have given the equation:
5x + 2y = 3
We have to write the equation in slope intercept form.
The general slope intercept form of equation is :
y = mx+c
Where m = slope and c is the y-intercept.
We have given the expression:
5x + 2y = 3
2y = 3-5x
y = (3-5x)/2
y = 3/2-5/2x
y = -5/2x+3/2
y = -5/2x+3/2 is the slope intercept form of given equation.
Where m = -5/2 and y-intercept = 3/2
(65 + (1/5 x5) +6) divided by 9
1/5x5=1,65+1+6=72, and 72÷9=8. The answers 8.
What is the measure of YOZ given that WX =YZ
Answer: The answer is B - 95.
Answer: A. [tex]=105^{\circ}[/tex]
Step-by-step explanation:
Given: Circle with center O , having two congruent arcs as :-
[tex]\overarc{WX}\cong\overarc{YZ}\\\\\angle{XOW}=105^{\circ}[/tex]
We know that " If two arcs of a circle are congruent then their corresponding central angles are congruent".
[tex]\angle{XOW}\cong\angle{YOZ}\\\\\Rightarrow\ \angle{YOZ}=105^{\circ}[/tex]
Hence, the measure of [tex]\angle{YOZ}=105^{\circ}[/tex].
A rental car company is running two specials. Customers can pay $40 to rent a compact car for the first day plus $2 for each additional day, or they can rent the same car for $25 the first day and $5 for every additional day beyond that. Farid notices that, given the number of additional days he wants to rent the car for, the two specials are equivalent. How many additional days does Farid want?
Answer: 5
Step-by-step explanation:
The equation to solve this problem is 40 + 2x = 25 + 5x
Now, to solve for x you first need to subtract 25 from each side:
15 + 2x = 5x
Next, subtract 2x from each side:
15 = 3x
Finally, divide both sides by 3:
5 = x
Farid is renting the car for 5 additional days.
Farid wants to rent the car for 5 additional days.
Let's define the costs of the two specials and determine when they are equivalent. Let x represent the number of additional days Farid wants to rent the car.
For the first special, the cost is $40 for the first day and $2 for each additional day:
Cost 1 = 40 + 2xFor the second special, the cost is $25 for the first day and $5 for each additional day:
Cost 2 = 25 + 5xWe need to find the value of x where both costs are equal:
40 + 2x = 25 + 5xSubtract 2x from both sides:
40 = 25 + 3xSubtract 25 from both sides:
15 = 3xDivide both sides by 3:
x = 5Thus, Farid wants to rent the car for 5 additional days.
Two numbers have a product of 12 but their sum is -7. What are the numbers?
Answer:
-4 and -3
Step-by-step explanation:
-4 + -3 = -7
-4 * -3 = 12
Negative times negative equals a positive.
Answer:
-3 and -4
Step-by-step explanation:
Two numbers have a product of 12 but their sum is -7
Answers are -3 and -4
Double check:
(-3) x (-4) = 12
and
(-3) + (-4) = -7
Not a examni promise plz awnser i jeed help
what's the answer to this question
If you are trying to ask for the volume of the two rectangular prisms, you can multiply 9m × 10m × 16m and get 1440m^3(meters cubed) for prism A, and multiply 6m × 5m × 3m to get 90m^3
then you add the two together and get
1530m^3 (meters cubed)
What is the slope of the line represented by the equation
3
x
+
4
y
=8
Answer:
Step-by-step explanation:
3x + 4y = 8
4y = 8 - 3x
y = 2 - (3/4)x
So the slope of the given line is -(3/4).
Final answer:
The slope of the line represented by the equation 3x + 4y = 8 is -3/4. We found this by rearranging the equation into slope-intercept form, y = mx + b, and identifying the coefficient of x as the slope.
Explanation:
To find the slope of the line represented by the equation 3x + 4y = 8, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope of the line, and b represents the y-intercept. Let's solve for y:
3x + 4y = 84y = -3x + 8y = (-3/4)x + 2The slope-intercept form of the line is y = (-3/4)x + 2, so the slope is -3/4. This means for every increase of 1 on the horizontal axis (x), there is a decrease of 3/4 on the vertical axis (y).
use 3.14 for pi to estimate the area of a circle if the diameter is given 28.2m round the answer to the nearest hundredth if necessary
Answer:
= 624.26 m²
Step-by-step explanation:
The area of a circle is given by the formula;
A = πr² ; where r is the radius
Radius = 1/2 diameter
= 3.14 × 14.1 ×14.1
= 624.26 m²
Final answer:
To estimate the area of a circle with a diameter of 28.2m, calculate the radius (14.1m), then use the formula A = πr² with pi as 3.14 to get an area of approximately 624.33 m² after rounding to the nearest hundredth.
Explanation:
To estimate the area of a circle with a given diameter of 28.2m, we first need to calculate the radius, which would be half of the diameter. Thus, the radius (r) is 28.2m / 2 = 14.1m.
Next, we use the formula for the area of a circle, which is A = πr². Plugging in the numbers, we get A = (3.14)×(14.1m)².
Carrying out the multiplication, we have A = 3.14 × 198.81m² = 624.3254m². We round this result to the nearest hundredth to get 624.33 m² as the estimated area of the circle using 3.14 for pi.
Write 58% as a fraction in simplest form
Answer:
29/50
Step-by-step explanation:
58/100 simplified is 29/50
I don’t get this lesson so might need help
====================================================
Explanation:
The variable b is the placeholder for the original price, aka price before discount.
We discount by 25% meaning we don't pay that 25% but instead pay the remaining 75%
Therefore the expression 0.75*b represents the final price after the discount. We're told this price is $1.50 so that is how I'm getting the answer to be 1.50 = 0.75b
----------------------------
Extra info:
To solve this equation for b, you would divide both sides by 0.75 to undo the multiplication that is happening.
1.50 = 0.75b
1.50/0.75 = 0.75b/0.75 .... dividing both sides by 0.75
2.00 = b
b = 2.00
So the original price before discount was $2.00; note how 25% of this is 0.25*2.00 = 0.50 which is the amount we save and the amount we have left is 2.00 - 0.50 = 1.50 which is the proper price after discount we want.
2. Which is a disadvantage of purchasing and owning a home?
A.An individual assumes all responsibility for maintenance and repair of owned property.
B.An individual has more freedom and choice for owned property than rented lodging.
C.An individual pays less in property taxes as a homeowner than a renter.
D.An individual builds equity by owning a home.
3. Use the table to answer the question.
The table shows the Final Settlement Statement for the purchase of a home.
How much cash did the borrower pay upfront?
A.$605.36
B.$3,491.04
C.$25,985.68
D.$95,505.36
4. Use the table to answer the question.
The table shows the Final Settlement Statement for the purchase of a home.
What amount goes in line 8?
A.$120,440.04
B.$121,491.04
C.$123,909.44
D.$125,882.47
2. Which is a disadvantage of purchasing and owning a home?
A. An individual assumes all responsibility for maintenance and repair of owned property.
3. How much cash did the borrower pay upfront?
D.$95,505.36 (500 + 94400 + 605.36)
4. What amount goes in line 8?
B.$121,491.04 (95505.36 + 25985.68)
The main disadvantage of home-ownership is that the individual is responsible for all maintenance and repair costs. As for the borrower's upfront payment and the amount in line 8 on the Final Settlement Statement, these would be specified in the settlement statement and cannot be precisely determined without such information.
Explanation:2. The main disadvantage of purchasing and owning a home is: A. An individual assumes all responsibility for maintenance and repair of owned property. This can be expensive and time-consuming, especially if the property is older or requires frequent repairs.
3 & 4. Without the table showing the Final Settlement Statement for the purchase of a home, it would be impossible to indicate precise answers to questions 3 and 4 related to upfront cash paid by the borrower, and the amount going in line 8. These values are calculated based on several variables, which should be tabulated clearly in the Final Settlement Statement.
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if f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)
Answer:
[tex]\large\boxed{(f-g)(x)=3x^2+6}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6[/tex]
maria earned $42 for 6 hours of work .how much will she get for 15 hours of work ?
Answer: 105
Step-by-step explanation:
6 hours
7 x 6 = 42
15 hours
7 x 15 = 105
Answer:
105
Step-by-step explanation:
If she works 7 days a week than you get 7 x 15 witch = 105
Find the diameter of a circle with an area of 380.13m^2
Answer:
22
Step-by-step explanation:
Divide the area (in square units) by Pi (approximately 3.14159).
Example: 380.13/3.14 = 121.06
Then square the answer.
121.06 squared = 11.0
That answer is the radius, double that to get the diameter.
11.0 * 2 = 22
Final answer:
To calculate the diameter of a circle with an area of 380.13 m², solve for the radius using the formula r = √(A/π) and then double that value to find the diameter, resulting in a diameter of approximately 22.00 meters.
Explanation:
To find the diameter of a circle with a given area, we start with the formula for the area of a circle, which is A = πr², where A is the area, π (Pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. Given the area A = 380.13 m², we can solve for the radius r by rearranging the area formula to r = √(A/π) and then calculating the diameter D by doubling the radius (D = 2r).
Step 1: Calculate the radius.
r = √(A/π) = √(380.13 m² / 3.14159) ≈ 11.00m
Step 2: Calculate the diameter.
D = 2r = 2 × 11.00m = 22.00m
Identify the vertex and the y-intercept of the graph of the function.
y = –0.25(x – 4)^2 2 – 2
vertex, (2, –4); y-intercept, –6
vertex, (–4, 0); y-intercept, –6
vertex, (4, –2); y-intercept, –6
vertex, (–2, 4); y-intercept, –6
Answer:
vertex, (4, –2); y-intercept, –6
Step-by-step explanation:
The equation is written in vertex form [tex]y = a(x-h)^2 + k[/tex] where the vertex is (h,k).
The vertex here is (4, -2). This means the solution is vertex, (4, –2); y-intercept, –6.
Answer:
vertex, (4, –2); y-intercept, –6.
Step-by-step explanation:
[tex]y=-0.25(x-4)^{2}-2[/tex]
[tex]y=-0.25(x^{2}-8x+16)-2[/tex]
[tex]y=-0.25x^{2}+2x-4-2[/tex]
[tex]y=-0.25x^{2}+2x-6[/tex]
the vertex is [tex](\frac{-b}{2a},y(\frac{-b}{2a}) )[/tex] where a=-0.25 and b=2. So,
[tex]\frac{-b}{2a}= \frac{-2}{-0.5}=4[/tex]
[tex]y(\frac{-b}{2a})=-0.25(4)^{2}+2(4)-6= -4+8-6=-2 [/tex]
Then, the vertex is (4,-2) and the intercept is y(0)= -0.25(0)+2(0)-6 = -6. So, the answer is the third option.
x - y = 3 x + y = 5 Which of the following systems is equivalent to the given system? 2x - y = 18 and x + 2y = 10 4x - 3y = 18 and x + 2y = 10 2x - 3y = 3 and x + 2y = 5
The equivalent system to given equations is: 2x - y = 3 and x + 2y = 5. We assess this by finding the solution of the given system (x = 4, y =1) and verifying these values in all given options.
Explanation:The given system is: x - y = 3 and x + y = 5. To find an equivalent system, we need to find a system that has the same solution as the given one.
If we add these two equations, we have 2x = 8, so x = 4. If x = 4, we can put x = 4 into the second equation 4 + y = 5, hence y = 1.
Now we test these solutions in the given options. After testing, we find that the equivalent system is: 2x - y = 3 and x + 2y = 5.
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The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.
Answer:
EQUATION: [tex]x^2-16x+48=0[/tex]
METHOD: Factorization.
The sellings prices are:
$4
$12
Step-by-step explanation:
You need to find the selling price or prices that would generate $50 in daily profit, then you need to substityte[tex]y=50[/tex] into the quadratic function:
[tex]50=-10x^2+160x-430[/tex]
Make the equation equal to zero:
[tex]-10x^2+160x-430-50=0\\-10x^2+160x-480=0[/tex]
Simplify by dividing by -10, then you obtain the equation:
[tex]x^2-16x+48=0[/tex]
You can solve it with Factorization.
Choose two numbers whose sum is -16 and whose product is 48.
These would by -12 and -4.
Then:
[tex](x-12)(x-4)=0\\x_1=12\\x_2=4[/tex]
Answer:
Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).
Sum of radical sign -2 and radical sign -18
Answer:
B
Step-by-step explanation:
Note that [tex]\sqrt{-1}[/tex] = i
[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2(-1)}[/tex] = [tex]\sqrt{2}[/tex] i
[tex]\sqrt{-18}[/tex] = [tex]\sqrt{9(2)(-1)}[/tex] = 3[tex]\sqrt{2}[/tex] i
Thus the sum is
[tex]\sqrt{2}[/tex] i + 3[tex]\sqrt{2}[/tex] i = 4[tex]\sqrt{2}[/tex] i → B
carmen participated in a read-a-thon.MR.cole pledge $4.00 per book and gave carmen $44.00.How many books did carmen read
Answer:
11 books
Step-by-step explanation:
because if she gets $4 per book and gets $44 in total then that means she has read 11 books because 4 times 11 is 44.
four students each ate 1 1/2 cupcakes. How many cupcakes did they eat in all
Multiply the number of cupcakes each by the number of people:
1 1/2 x 4 = 6 total cupcakes.
Need help with my precal please!
Answer:
y = 3x - 1
Step-by-step explanation
We manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.
The excel output is attached below.
The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.
Write the expression: y divided by the quantity x minus 5.
HURRY PLEASE IM IN CLASS THANKS
Answer:
please mark me brainiliest
y/x-5
Step-by-step explanation:
Answer: y ÷ x -5
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
"y" is a variable that is divided by the quantity "x" (also a variable) minus 5 (subtraction).
Mathematically speaking:
y ÷ x -5
In conclusion, the expression is y ÷ x -5
Feel free to ask for more if needed or if you did not understand something.
Twelve of the fifty dogs in the show were some breed of terrier. What percent is this?
Answer:
That would be 24%.
the circumference of a circle measures 11.27 Pi what is the measure of the diameter of this circle
Last month, 17 people showed up to help a local charity. This month, 55 people volunteered. What is the percentage increase?
Step-by-step explanation:
The formula for percent change is
change/original.
So let's subtract 17 from 55 to find the change. 55-17=38
This is the change. Now we divide it by the original, 17.
38/17=2.235294
We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is
about 223.53 percent