Step-by-step explanation:
remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
a)
I think there is a typo, and this should be
5x² - 7x = 72
5x² -7x - 72 = 0
x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10
x1 = (7 + sqrt(1489))/10
x2 = (7 - sqrt(1489))/10
b)
x(x + 2) = 5
x² + 2x - 5 = 0
x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =
= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =
= -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
c)
3x² + 2x - 4 = 0
x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =
= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =
= (-1 ± sqrt(13))/3
x1 = (-1 + sqrt(13))/3
x2 = (-1 - sqrt(13))/3
Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+
Answer:
10x+5
Step-by-step explanation:
You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.
Answer:
5[tex]x^{4}[/tex] (x - 3)(x - 2)
Step-by-step explanation:
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term
= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 3 and - 2 , then
x² - 5x + 6 = (x - 3)(x - 2)
Then
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form
the ps/ms soccor team purchased uniforms and equipment for a total cost of 692. the equiptment cost 422 and the uniforms cost 30 each. how many unifroms were ordered
Answer:
The answer is 9 uniforms.
Step-by-step explanation:
You can set up the equation like this
Total Cost = Total Cost of Equipment + Total Cost of Uniforms
So the equation would be:
692 = 422 + 30 * (# of Uniforms)
So minus both sides by 422 and you get
692-422 = 30 * (# of Uniforms)
270 = 30 * (# of Uniforms)
Then divide both sides by 30 and you get
9 = # of Uniforms
So therefore, the answer is 9 Uniforms
x=4y,2x+y=18 solve by substitution show all work
A ___ equation is a second-degree equation of the form ax^2+bx+c=0 where a ≠ 0
Answer:
A quadratic equation is second degree equation with the standard form ax^2+bx+c=0 as the highest power is 2.
__________________.
5+6b+3d how many terms are in the expression
Answer:
3
Step-by-step explanation:
5 is a term 6b is a term 3d is a term
Ajay is going to invest his money into 2 different stocks. Both stocks are independent, and each stock has a 50%
chance of being successful and a 50% chance of failing.
Each stock will make Ajay $500 if it succeeds or lose him $500 if it fails.
If X is a random variable that represents Ajay's profit from investing in these 2 stocks, drag the bars to graph
the probability distribution for all possible values of X.
The bar graph represents the value of Profit (X) for the different probabilities of stocks x and y.
It can be drawn as follows.
Let x and y denote the two stocks .
The probability of success of x is p=50%= 50/100=1/2 = 0.5
The probability of failure of x is q= 50%= 50/100= 1/2= 0.5
Similarly
The probability of success of y is p=50%= 50/100=1/2 = 0.5
The probability of failure of y is q= 50%= 50/100= 1/2= 0.5
Then their joint distribution can be calculated from the following table.
x 0.5 0.5 h(y)
y
0.5 0.25 0.25 0.5
0.5 0.25 0.25 0.5
g(x) 0.5 0.5 1.0
It is evident from the data that x and y have the same probability at each point when both x and y are at
successfailuresuccess and failurefailure and successBut the random variable X will have different values for
both success = $500+ $500= $ 1000 both failure = -$500+ -$500= $- 1000success and failure = $500+ $-500= $0failure and success = $-500+ $500= $ 0For the bar graph click
https://brainly.com/question/25196929
https://brainly.com/question/25718527
The bar graph will appear as follows.
Answer:
Step-by-step explanation:
What is the factored form of n^3+512 (please answer) picture provided
[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Can someone help me ? :
Answer:
[tex]\huge\boxed{\sf y = 100.4}[/tex]
Step-by-step explanation:
Given equation is:
53 = y - 47.4
Add 47.4 to both sides
53 + 47.4 = y
100.4 = y
OR
y = 100.4
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Hello there!
Question:-[tex]\sf \longmapsto53=y - 47.4[/tex]
This is a equation. We need to find the value of variable y.
Solution:-[tex]\sf \longmapsto53=y- 47.4[/tex]
To Solve further,we need to overturn the equation.
That is :-
[tex]\sf \longmapsto \: y - 47.4 = 53[/tex]
Then, Add +47.4 to two sides:-
[tex]\sf \longmapsto \: y - 47.4 + 47.4 = 53 + 47.4[/tex]
On Simplification:-
Note that (-) and (+) equals to (-). So it would be 47.4 - 47.4 . Which results to 0.
[tex]\sf \longmapsto \: y - 0 = 100.4[/tex]
[tex]\sf \longmapsto \: y = 100.4( Ans.)[/tex]
Answer as a mixed fraction:-
[tex]\sf \longmapsto 100\dfrac{2}{5}[/tex]
Answer as a fraction:-
[tex]\sf\longmapsto 502/5[/tex]
______________________________________
Henceforth, the value of y is :-
[tex]\bf \: y = 100.4[/tex]
Or as a mixed fraction:-
[tex]\bf y = 100\dfrac{2}{5}[/tex]
Or as a fraction:-
[tex]\bf y = 502/5[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
What is the volume of a cone with the height of 6 inches and the diameter of 4 inches?
A) 25.20in3
B) 25.12in3
C) 26in3
D) 25in3
Will get brainliest
Gas grills are on sale 20% off. The sale price of the grill that I like is $399.20. What was the original price of the grill?
Answer:
499
Ste-by-step explanation
80 percent of the original price is left.
If you divide by 4 you get 99.8 which is 20% of the original price. Then if you multiply 99.8 by 5 you will get 100% of the original price which is 499
You can also do 399.2 * 1.25 = 499
Q.The total surface area of a cylinder is
3080cm² and height is 21cm. Find its base radius.
Show full process.
Answer:
r≈14cm
h Height
21
cm
A Surface area
3080
cm²
Using the formula
A=2πrh+2πr2
Solving forr
r=1
2h2+2A
π﹣h
2=1
2·212+2·3080
π﹣21
2≈14.00402cm
solve the equation 3÷7x-1+1÷x=0
Answer: The answer is 3x^2 - 7x + 7 = 0.
5+(3²-4)-6/3 please help
Therefore, 8 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
(image)
Which statement best describes a flaw in the student's proof?
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
The statement that best describes a flaw in the students' proof is;
Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
From the given image, we can see that;
AB ≅ DC
Let us analyze each given option;
A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.
They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.
B) In ΔABD and ΔBDC, we see that;
AB = DC. Also, by theorem of alternate interior angles, we can tell that;
∠ABD = ∠BDC
Similarly, ∠BDA = ∠DBC from alternate interior angles.
Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.
C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.
D) Corresponding angles lie on the same side of the transversal. In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.
Read more about congruency at; https://brainly.com/question/7727792
Rachael is placing a protective cover on a glass case. The case is a cube, and the perimeter of one cube face is 56 inches.
How many square inches of the protective covering does she need for the case?
Answer:
336
Step-by-step explanation:
We know that a cube has 6 faces which means we can use this equation:
56 x 6 = 336
336 square inches is the answer.
Perimeter=56in
Side=56)4=14inSo area of one side=
(side)^2=(14)^2=196in^2Cube has 6sides
So total protection:-
6(196)1176in^2Please help. Due Today
Answer:
Blank 1) 1 pound of raisins
Blank 2) 2.25 pounds of raisins
Blank 3) 1.2 pounds of almonds
Blank4) 1.4 pounds of almonds
H.E.L.P 100 POINTS!!! Match the addition and subtraction problems to their solutions: (See the picture)
find the quadratic equation of -9+3p2=-12
Answer:
How to solve your problem-
9 + 3 2 = − 1 2
Step-by-step explanation:
− 9 + 3 2 = − 1 2
9+3p2=-12
3 2 − 9 = − 1 2
expand and simplify 2(8x + 4y - 10)
[tex]2(8x + \\4y - 10)[/tex]
Which expression is equivalent to -16 - 7?
A. -16 + 7
B. -16 + (-7)
C. 16 + (-7)
D. 16 + 7
Step-by-step explanation:
B. -16 + (-7) ...this is the same as -16-7
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.
Enter your answer in the boxes.
y =
x +
Step-by-step explanation:
Use the slope formula
Taking two points on the line:
(0,3) and (-5,0)
3-0/0+5
You will get: 3/5 as your slope
The y-intercept is (0,3)
Therefore:
y = 3/5x + 3
Need help fast on hs geometry please
[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}
15=4x+3
=>4x=15−3
=>4x=12
=>x=3[/tex]
Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15Answers:
3, 15
Hope you could get an idea from here.
Doubt clarification - use comment section.
someone please help me i swear i'll give brainliest
A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters
Answer:
394 km
Step-by-step explanation:
197 is 197/60 times as much as 60
so the distance is also that much more: 120 km * 197/60 = 394
HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?
Answer:
Minneapolis
Step-by-step explanation:
Plssssss help! I'm timed
Which represents a quadratic function?
A: f(x) = 2x3 + 2x2 – 4
B: f(x) = –7x2 – x + 2
C: f(x) = –3x + 2
D: f(x) = 0x2 + 3x – 3
Answer:
B: f(x) = –7x2 – x + 2
Step-by-step explanation:
The biggest exponent in a quadratic function is a 2.
A. Is NOT the answer because it has an exponent of 3 (that's a cubic not a quadratic)
C. Is NOT the answer because it is linear, if you graph it, it's a line. The highest exponent is 1.
D. Is NOT the answer, because even though it shows a power of 2, the coefficient (the number next to it) is a zero, so that term would fall out of the equation and it would be linear like C.
So B: f(x) = –7x2 – x + 2 is your answer. Its highest exponent is two and if you graph it, it would make a parabola.
what would be the linear equation for (0,2) and (4,-4)
Answer:your mom
Step-by-step explanation:
srry had to do it
add (7x^2-3 x)+(5x-6)
Answer:
Step-by-step explanation:
(
4
x
)<(
15
5(5x−2)−3(7x−3)
)
(
4
x
)<(
15
25x−10−21x+9
)
(
4
x
)<(
15
4x−1
)
15x<16x−4
4<x
∴x∈(4,∞)
Determine whether it is possible to form a triangle
with side lengths 5, 7, and 8.
O yes
no
Answer:
YES
Step-by-step explanation:
Which of the following statements is the only
sentence that is error-free?