Answer: X= -1/2, X= -5/6
Step-by-step explanation:
0=12x^2+16x+5
Move all terms to the left:
0-(12x^2+16x+5)=0
Add all the numbers together, and all the variables
-(12x^2+16x+5)=0
Get rid of parenthesis
-12x^2-16x-5=0
a = -12; b = -16; c = -5;
Δ = b2-4ac
Δ = -162-4·(-12)·(-5)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
Use following formulas to calculate:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=16−−√=4
-> x1=−b−Δ√2a=−(−16)−42∗−12=12−24=−1/2
-> x2=−b+Δ√2a=−(−16)+42∗−12=20−24=−5/6
Estimate each quotient to the nearest whole number. Then, find the actual quotient. EASY PLS HELP
Answer:
28 and 15
Step-by-step explanation:
Can someone help with this one???
For the set P = {p | p is a letter in "PREPOSTEROUS"} there could be (BLANK) subsets and (BLANK) proper subsets.
Answers:
128 subsets
127 proper subsets
=======================================================
Explanation:
Set P is the set of letters from the word "PREPOSTEROUS"
So P = {P,R,E,P,O,S,T,E,R,O,U,S}
But we must toss out any duplicate items. After doing so we have
P = {P, R, E, O, S, T, U}
which in alphabetical order would be
P = {E, O, P, R, S, T, U}
There are n = 7 unique letters in this set.
So there are 2^n = 2^7 = 128 subsets and (2^n)-1 = (2^7)-1 = 128-1 = 127 proper subsets.
---------------------
note: If B is a subset of A, then everything inside B is also inside A. But not necessarily the other way around. A proper subset is one where set B is smaller than set A (it has at least one fewer items).
Which one is right?
Answer:
A and C are correct
Step-by-step explanation:
Answer:
A and C are the right answers.
Step-by-step explanation:
(Wil give Brainliest) Please Helpp
Answer:
41< (or equal to) x < (or equal to) 45
Step-by-step explanation:
Answer:
x ≥ 65x < 69Step-by-step explanation:
Given
x is the length of the postx - 24 is the distance from the road to the boxRequired inequalities
x - 24 ≥ 41 x ≥ 65And
x - 24 < 45x < 69Combined inequality
65 ≤ x < 69What is the measure of Zor?
Angles are not necessarily drawn to scale.
B
116
60
А
2x =
Answer:
56º
Step-by-step explanation:
So you can figure out inner angle A because the inner angle will make 180º
180º - 116º = 64º = Angle A
Now add angle A and angle C
64º + 60º = 124º
Subtract this from 180º
180º - 124º = 56º
Therefore the measure of angle X is 56º
PLZZZZZZZZ HELP ME Find the interest earned at 12% on $1000 for 6 months. A.60 B.70 C.80 D.90
Answer:
A
Step-by-step explanation:
$1000 x .12 =120/2=60
Write the equation of the graphed line.
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
(-15) – ( -18)in integers
Answer:
(-15) - (-18)
=> -15 + 18
=> 3
If my answer helped, please mark me as the brainliest!!
Thank You!!
Please helllllllllppppppppppppppppp!!!!!!!!!!!!!!
Answer:
42
Step-by-step explanation:
6m+10p when m=8 and p=14
Answer:
184
Step-by-step explanation:
6m + 10p
6(8) + 10(14) =
48 + 140 = 184
plz give brainliest :)
Graph the equation y = 1/3x + 2.
Answer:slope of 1/3 and y-intercept of 2
Step-by-step explanation: i added an image
PLEASE HELP. 23 POINTS AND BRAINLIST.
Answer:
Step-by-step explanation:
What is the slope of a line perpendicular to y = 2x + 3
Answer:
-1/2
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal. So the opposite of 2 is -2, and the reciprocal of 2 is 1/2.
Answer:
[tex]\boxed {\tt m= -\frac{1}{2}}[/tex]
Step-by-step explanation:
Perpendicular slopes are negative reciprocals.
First, let's find the slope of the line. The equation is:
y=2x+3
This line is in slope-intercept form: y=mx+b. m is the slope and b is the y-intercept. Therefore, 2 is the slope.
Now, find the perpendicular slope.
1. Negate the slope
The slope is 2. Negate the slope, or switch the sign. It becomes -2.
2. Find the reciprocal
To find the reciprocal, switch the numerator and denominator.
The slope -2 is equal to -2/1. Switch the top number and bottom number and the result is -1/2.
The perpendicular slope is -1/2
Lisa used 14 cup of milk per batch using her muffin recipe. How many cups of milk did she use when she made 6 batches of muffins?
Select the correct answer from each drop-down menu.
Consider the equation below.
-2(57 + 8) = 14 + 6x
The equation was solved using the following steps.
Step 1:
-101 - 16 = 14 + 6
Step 2:
-16. - 16 = 14
Step 3:
-16.5 = 30
Step 4:
30
=
-16
15
Step 5:
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
6x.
Step 1:
Step 2:
Step 3:
Step 4:
16.
V
-16.
Answer:
Step 1: Distribute -2 to 5x and 8.
Step 2: Subtract 6x.
Step 3: Add 16.
Step 4: I'm not sure about this one but it isn't add -16.
Step-by-step explanation:
Steps 1, 2, 3, and 4 are distributive properties, subtraction, addition, and division respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
-2(5x + 8) = 14 + 6x
Step 1
-10x -16 = 14 + 6x
distributive property
distribute -2 in the parenthesis to 5x and 8
Step 2
-16x - 16 = 14
subtraction
subtraction of -6x
Step 3
-16x = 30
Addition of 16
Step 4
x = -30/16
division of -16
x = -15 / 8
Thus, Steps 1, 2, 3, and 4 are distributive properties, subtraction, addition, and division respectively.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ5
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?
coordinate plane with triangles ACB and XYZ with A at negative 4 comma 4, C at negative 1 comma 3, B at negative 4 comma 0, X at 0 comma 8, Y at 8, comma 8, and Z at 6 comma 2
∠C ≅ ∠X
∠C ≅ ∠Y
∠A ≅ ∠Y
∠A ≅ ∠X
Answer:
The correct option is;
∠A ≅ ∠X
Step-by-step explanation:
The given coordinates of the points of triangle ACB are;
A(-4, 4), C(-1, 3), B(-4, 0)
The given coordinates of the points of triangle XYZ are;
X(0, 8), Y(8, 8), Z(6, 2), therefore, we have
The length. l. of segment is given by the following formula;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)
For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4
For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2
For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8
For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2
For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10
Therefore;
XY ~ AB, XZ ~ BC, ZY ~ AC
Which gives;
∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z
Answer: The answer is ∠A ≅ ∠Y
Step-by-step explanation:
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4 ft to 1 in. What is the area of the actual patio
Answer:
192ft^2
Step-by-step explanation:
+5+6 9+10- 6+2 9-7 3-5 18-12
Answer:-496
Step-by-step explanation:
5+69+10−6+29−73−518−12
=74+10−6+29−73−518−12
=84−6+29−73−518−12
=78+29−73−518−12
=107−73−518−12
=34−518−12
=−484−12
=−496
guys help me plz i don't know this please help me
Answer: The least value goes with the greatest value
Step-by-step explanation:
Please help! Brainliest !
The table shows how much Kim earned from 1996 to through 2004.
Year Annual Salary ($)
1996 | 42,000
1998 | 47,500
2000 | 48,900
2002 | 55,000
2004 | 60,000
Use the equation you found in the previous exercise. Predict Kim's salary in 2025.
The previous equation was:
y = 2200x + 40000; x is years since 1996; y is annual salary.
A. between $65,000−$75,000
B. between $104,000−$112,000
C. between $125,000−$135,000
D. between $200,000−$210,000
Using the equation found previously, it is found that the estimate for Kim's salary in 2025 will be between $104,000−$112,000, given by option B.
---------------------
The estimate for Kim's salary in x years after 1996 is given by:
[tex]y(x) = 2200x + 40000[/tex]
2025 is 2025 - 1996 = 29 years after 1996, thus, the estimate for the salary is y(29).
[tex]y(29) = 2200(29) + 40000 = 103800[/tex]
The estimate is of $103,800, which is quite close to $104,000, and could be above, as the line of best-fit is not exact, thus, the correct option is B.
A similar problem is given at https://brainly.com/question/22992800
which option correctly represent an integer 4 as rational number
4/1
1/4
0/4
Answer:
4/1
Step-by-step explanation:
Since we want the answer +4 ,4/1=4
1/4=0.25
0/4=0
[tex]\large\boxed{\fcolorbox{red}{aqua}{1/4}}[/tex]
• A rational number is something that can represented in p/q form .
• 1/4 is represented in p/q form .
☆ So, it must be accurate answer .
Hope, it helps you :)
Simplify the expression -3.3 + (-2.7). On the test, when Maureen simplified the expression she got 0.6. What mistake did Maureen likely make when she simplified the expression?
Answer:
-6
Step-by-step explanation:
She added a negative number with a positive number
Answer:
-6
Step-by-step explanation:
-3.3+(-2.7)= -3.3-2.7 = -6
Maureen probably did 3.3-2.7 instead of -3.3-2.7.
Hope this helps!!!
True or False: If an acute angle is bisected,then the two angles formed are obtuse.
Answer:
false
Step-by-step explanation:
Ana y celia compraron una piza y celia comió un tercio¿que parte de la piza sobró?
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
A. Alyssa
B. Rahul
C. Toni
D. Wilhem
Answer:
D Wilhem
Step-by-step explanation:
When solving a algebraic equation You follow these steps: group like factors(adding the 32g+8g-10g=30g) then you divide the numbers.(30g=150, 30/30=0 and the 150/30=5) So(g=5)
Answer:
D: Wilhem
Step-by-step explanation:
7. How many four-digit numbers can you form with the digits 1, 2, 3,
4,5,6, and 7?
Answer:
840
Have a nice day! :)
Which is the solution to the inequality?
y+ 15 < 3
A. Y<-12
B. y > -12
C. y<18
D. y> 18
Answer:
A. y < -12
Step-by-step explanation:
Step 1: Write inequality
y + 15 < 3
Step 2: Solve for y
Subtract 15 on both sides: y < -12Solve 10y + 7 – 4y = -5+ 6y + 22.
Answer:
No solution.
Step-by-step explanation:
Step 1: Write equation
10y + 7 - 4y = -5 + 6y + 22
Step 2: Solve for y
Combine like terms: 6y + 7 = 6y + 17Step 2: Subtract 7 on both sides: 6y = 6y + 10Subtract 6y on both sides: 0 ≠ 10Here, we see that y would have no solutions.
Answer:
0 = 10
Step-by-step explanation:
10y + 7 - 4y = - 5 + 6y + 22
Combine -4y and 10y, then subtract 6y from the right side and subtract it from 10y after it becomes 6y
0 + 7 = -5 + 22
Subtract 7 from both sides and combine 22 and -5
0 = 10
A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6 ounces of coffee and 2 ounces of milk and earns a profit of $0.40. Each bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk and earns a profit of $0.50. The manufacturer has 720 ounces of coffee and 400 ounces of milk available for production each day. To meet demand, the manufacturer must produce at least 80 coffee drinks each day. Let x = the number of cappuccino bottles and y = the number of café au lait bottles.
Identify the constraints on the system other than
x ≥ 0 and y ≥ 0.
→x + y ≥ 80
0.4x + 0.5y ≥ 100
→6x + 4y ≤ 720
→2x + 4y ≤ 400
6x + 2y ≥ 720
4x + 4y ≥ 400
Complete the objective function.
P = 0.40x + 0.50y
The objective function for this situation is given by x > 0, y > 0, 6x + 4y ≤ 720, 2x + 4y ≤ 400, x + y ≥ 80 and P = 0.4x + 0.5y
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of cappuccino bottles and y represent the number of café au lait bottles.
Hence:
x > 0, y > 0
Also:
6x + 4y ≤ 720
2x + 4y ≤ 400
x + y ≥ 80
and
P = 0.4x + 0.5y
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
