Which are the solutions of x2 = –13x – 4? 0, 13 0, –13
Answer:
Option 3 and 4 - 0,-13
Step-by-step explanation:
Given : Expression [tex]x^2=-13x-4[/tex]
To find : What are the solutions?
Solution :
The quadratic formula of the quadratic equation [tex]ax^2+bx+c=0[/tex] is
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Comparing with general equation, [tex]x^2+13x+4=0[/tex]
where, a=1 ,b=13, c=4
Substitute in the formula,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}[/tex]
[tex]x=\frac{-13\pm\sqrt{169-16}}{2}[/tex]
[tex]x=\frac{-13\pm\sqrt{153}}{2}[/tex]
[tex]x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}[/tex]
The value of x is [tex]x=-0.315,-12.68[/tex]
Approximately the solution of the expression is x=0,-13.
The area of circle z is 64 pi ft^2
What is the value of r?
we know that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]A=64\pi \ ft^{2}[/tex]
substitute in the formula and solve for r
[tex]64\pi=\pi r^{2}[/tex]
Simplify
[tex]64=r^{2}[/tex]
Square root both sides
[tex]r=8\ ft[/tex]
therefore
the answer is
The value of r is [tex]8\ ft[/tex]
Carrie made a square tablecloth with an area of 169 square inches. What was the length of each side of the tablecloth?
Plz hurry
The length of each side of the tablecloth is 13 inches.
Explanation:To find the length of each side of the tablecloth, we need to take the square root of the area. Since the area is given as 169 square inches, we can take the square root of 169. The square root of 169 is 13, so each side of the tablecloth is 13 inches long.
Veronica gave 20% of her money to Bill. She used 50% of the remaining money to buy books.
If Veronica gave $35 to Bill, she spent $ to buy books and she has $ left.
Answer:
If Veronica gave $35 to Bill, she spent $70 to buy books and she has $70 left.
Step-by-step explanation:
–2x + 3y = 21
3x – 2y = 21
–2x – 3y = 21
–2x + 3y = 7
Answer:
D.
Step-by-step explanation:
-2x+3y=7.I just took the test.
The opening balance of one of the 31-day billing cycles for Lorenzo's credit card was $4100, but after 15 days Lorenzo made a payment of $2300 to decrease his balance, and it stayed the same for the remainder of the billing cycle. If his credit card's APR is 24%, how much more in interest would he pay for the billing cycle with the previous balance method than with the adjusted balance method? A.$83.57
B.$46.88
C.$36.69
D.$120.26
Solution:
Adjusted Balance method
Amount in Lorenzo credit card in the beginning of month= $ 4100
Payment made = $ 2300
Amount in Lorenzo credit card after 15 days = $ 4100 -$ 2300= $ 1800
APR= 24 %
Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%
2.03% of 1800=$ 36.54
Previous Balance method:
Amount possessed at the beginning of the month= $ 4100
APR= 24 %
Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%
2.038% of 4100=$ 83.23
The interest that Lorenzo would pay for the billing cycle with the previous balance method than with the adjusted balance method
= $ 83.23 - $ 36.54
= $ 46.69→→ option (B)
what is the coefficient in the expression x / 3 + 7
Answer:
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
Step-by-step explanation:
[tex]\frac{x}{3} +7[/tex]
We need to find the coefficient of each term in the given expression
x/3 can be written as 1/3 times x
The coefficient is the number with the variable x
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
What is the missing polynomial? ? – (20 – 4x – 5x2) = 20 – 7x2 A. 4x-12x^2 B. 4x-2x^2 C. 40-4x-12x^2 D. 40-4x-2x^2
Wendi worked for $6 an hour for the first month she was on the job. She was then given a raise to $6.24 an hour. What was the percent of her wage increase?
Irvan bought a drink for $1.90, a sandwich for $ 2.25, and an apple for $.75. What is the total amount of money he spent
Factor the expression. X^4+6x^2-7 completely. Show work!
When washing your hands, the correct amount of time to scrub your hands is approximately: select one:
a. 30 seconds.
b. 5 seconds.
c. 10-15 seconds.
d. 1 minute?
what is 31590 rounded to the nearest thousand
For a party, liam ordered 1 taco for each guest, for $2.50 each, and paid a $2.00 delivery fee. michelle ordered 1 burrito for each guest, for $1.80 each, and paid a $3.00 delivery fee. let g represent the number of guests that attended the party. which simplified expression represents the total cost of the two orders?
a. 4.3g + 5
b. 4.5g + 4.8g
c. 6.3g + 3
d. 9.3g
Solve for x: 14 = 0.1x 14 140 1.4 .14
The value of x that satisfies the equation 14 = 0.1x is 140.
Explanation:To solve the equation 14 = 0.1x, we can start by dividing both sides of the equation by 0.1 to isolate x. This gives us 14/0.1 = x, which simplifies to 140 = x. So, the value of x that satisfies the equation is 140.
Decide if the following is a properly formed syllogism.
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Therefore, if it is sweet, then you’re drinking tea.
a. This is not a syllogism.
b. This is a syllogism.
The following is not a properly formed syllogism.
Option A is the answer.
What is a syllogism?A syllogism is a form of argument where the conclusion follows from the truth of two or more given statements.
We have,
Statements:
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Conclusion:
If it is sweet, then you’re drinking tea.
This is not a conclusion from the truth of the given statements.
There is nowhere mention of tea in the statements.
Thus,
It is not a properly formed syllogism.
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A salad recipe calls for 1 3/4 cups of chopped tomatoes. The recipe calls for 4 1/7 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?
4 1/7 cups
4 3/28 cups
7 1/4 cups
7 1/7 cups
a jeweler bought some necklaces and bracelets for $1,100. the cost of the necklaces was 20% more than the cost of the bracelets. how much did the jeweler pay for
A) the necklaces?
B) the bracelets?
6L127ml=__________ mL
Simplify
2x x y x 3
To simplify 2x * y * 3, multiply the coefficients (2 and 3) and the variables (x and y) separately, resulting in the simplified expression 6xy.
Explanation:To simplify the expression 2x * y * 3, we can multiply the coefficients and the variables separately. The coefficients are 2 and 3, so their product is 2 * 3 = 6. The variables are x and y, so their product is xy. Putting it all together, the simplified expression is 6xy.
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Make t the subject of the formula 2(t-5) = y
what translation rule can be used to describe the result of the composition of (x,y) --> (x - 9,y - 2) and (x,y) --> (x + 1, y - 2) ? PLEASE HELPPPPP!!!!!
we know that
the rule of the translation A is
[tex](x,y)-----> (x-9,y-2)[/tex]
that means
the translation is [tex]9[/tex] units to the left and [tex]2[/tex] units down
the rule of the translation B is
[tex](x,y)-----> (x+1,y-2)[/tex]
that means
the translation is [tex]1[/tex] unit to the right and [tex]2[/tex] units down
therefore
the rule of the composition A+B is
[tex](x,y)-----> (x-9+1,y-2-2)[/tex]
[tex](x,y)-----> (x-8,y-4)[/tex]
that means
the translation is [tex]8[/tex] units to the left and [tex]4[/tex] units down
so
the answer is
[tex](x,y)-----> (x-8,y-4)[/tex]
The translation rule that describes the result of the composition of the transformations (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2) is (x, y) --> (x - 8, y - 4). This rule is obtained by sequentially applying each transformation to (x, y).
Explanation:When we talk about compositions of translations in geometry, what we are doing is carrying out one translation after the other. So, if we have two translations: (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2), we perform these operations sequentially.
First, we apply the transformation (x,y) --> (x - 9, y - 2). Then we take these new coordinates and apply the second transformation (x,y) --> (x + 1, y - 2). The result of this composition is (x - 9 + 1, y - 2 - 2) = (x - 8, y - 4), as you add (or subtract) the changes introduced by each translation.
So, the translation rule that can be used to describe the result of the composition of these transformations is: (x, y) --> (x - 8, y - 4).
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Add.
(2x + 5) + (3x - 7)
A) x - 2
B) x + 2
C) 5x - 2
D) 5x + 2
Answer:
C) 5x - 2
Step-by-step explanation:
When parentheses are preceded by a + sign, they may be immediately removed. Two additions and one subtraction are called for here: 2x + 5 + 3x - 7. This is 5x - 2.
(2x + 5) + (3x - 7)
2x + 5 + 3x - 7
2x + 3x - 7 + 5
5x - 2.
Hope this helps!!!
.The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink? Answer:
Which type of light is most likely to cause burns?why?
A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer will be the first to receive both gift cards?After this customer receives both gift cards, what is the total amount in gift cards that the store has given away?
Rhea is a freelance writer. She works for multiple clients and has several sources of income. Some of her clients pay her more than $600 for her work. These clients always send a specific form to her where she has to report her gross payments. What form do you think the clients are sending to Rhea?
Figure ABCD is a parallelogram
Answer:
x = 7
Step-by-step explanation:
Figure ABCD is a parallelogram
So sides AD and BC will be parallel and their length will be same.
[Since opposite sides of parallelogram are equal in length]
So mAD = mBC
(5x + 3) = 38
5x = 38 - 3 = 35
x = [tex]\frac{35}{5}[/tex]
x = 7
Therefore, x = 7 will be the answer.
Katlin divided a fraction by 1/2 the result was a mixed number. was the fraction less than or greater than 1/2? EXPLAIN.
Find the value of x in the triangle shown below
How do I do this?