Solve for the zeros of the quadratic function f(x) = 9.2 + 6x +1. Write the answer as a fraction.
Answers
Answer:
x = -1.7, or x = -17/10
Step-by-step explanation:
f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution. Combining like terms, we get
f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).
Then 6x = -10.2, and x = -1.7, or x = -17/10
Related Questions
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x²
3x-5
2x+6 x+3
OA.
OB.
O C.
O D.
O E.
21x³-35x2
2x² +12x+18
7x²
6x-10
7x³ +21x²
6x² +8x-30
6x-10
7x²
6x² +8x-30
7x³+21x²
Answers
The quotient of the rational expressions shown above is given by, Answer: option (C) 7x²/6x-10
To simplify the expression 7x² / 3x-5 / 2x+6 / x+3
We need to perform the following steps:
Invert the divisor.
Change the division to multiplication.
Factor the numerator and denominator.
First, divide the first term in the numerator (7\(x^2\)) by the first term in the denominator (2x) to get 3.
Then multiply (2x + 6) by 3 to get 6x + 18 Subtract this from the numerator.
2x + 6 | 7\(x^2\) + 3x - 5
- (6x + 18)
_______
-3x - 23
Then subtract the following term from the numerator: -3x.
Dividing -3x by 2x gives -3/2.
Multiply (2x + 6) by -3/2. The result is -3x - 9.
Subtract this from the previous result.
3 - (3/2)x
_________
2x + 6 | - 14
The result of polynomial long division is -14.
Therefore, the quotient of the rational expression is (7\(x^2\) + 3x - 5) / (2x + 6) -14.
So the correct answer is option D: -14.
Cancel out any common factors.
Multiply the remaining terms to get the answer.
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classification of triangle
Answers
Answer:
There are 3 Types of triangle . Equilateral , Scalence Isosceles triangle.
Step-by-step explanation:
There are 3 Types of triangle .It is given above.
Answer:
scalene triangle, Isosceles Triangle, Equilateral Triangle
Please help, will give brainliest
Answers
The measure of angle A is 27°
Define the term Tangent-Secant Theorem?Tangent-Secant Theorem: The product of the measures of the secant segment and its external secant segment is equal to the square of the measure of the tangent segment if a tangent segment and a secant segment are drawn to a circle from an exterior point.
The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.
Since AB is tangent to circle P, we know that angle ABD is a right angle, point P is the center of the circle. Then we have:
We can use the fact that the angle between a tangent and a secant is equal to half the difference between the intercepted arcs to find the measure of angle A:
angle A = (1/2) × (arc BD - arc BC)
angle A = (1/2) × (135 - 81)
angle A = 27°
Therefore, the measure of angle A is 27°
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Simplify the expression.
11.3 +9 - 7 = 1
Basic
Comm:
Answers
Solve for m:
2r= m/r
m = 2r
m = 2r squared by 2
m=r
m = 2
Answers
Switch sides so that m is on the left side
m/r = 2r
Them multiply both sides by r
mr/r = 2rr
Now simplify the equation
m = 2r^2
Therefore the equation evaluates to
m = 2r squared by 2
The berry-picking boxes at Bingo Berry Farm have square bottoms that are 8 centimeters on each side. Kendrick fills his box with raspberries to a height of 6 centimeters. What is the volume of raspberries in Kendrick's box? cubic centimeters
Answers
Answer:
384 cm³
Step-by-step explanation:
To find the volume of raspberries in Kendrick's box you have to use the formula to calculate the volume of a box:
V= l*w*h, where
l=Length: 8 cm
w=width: 8 cm
h= height: 6 cm
Then, you can replace the values in the formula:
V= 8cm*8cm*6cm
V=384 cm³
According to this, the answer is that the volume of raspberries in Kendrick's box is 384 cm³.
.Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs areA. organized in a standard manner across all projectsB. created in an iterative and incremental mannerC. designed so one can compare the current project to past projectsD. all of the aboveE. none of the above
Answers
The correct answer is B. created in an iterative and incremental manner.
Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.
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what is the area of the parallelogram
Answers
Answer:
the area parallelogram is 90%
2. Determine whether each equation has one solution, no solution, or infinite solutions. Explain
your reasoning.
a. -2(x + 5) = -6x + 4(x - 2)
Answers
-2x-10=-6x+4x-8
-2x+6x-4x=10-8
0x=2( unreasonable)
Concentric circles are coplanar circles that have the same
Answers
Concentric circles are coplanar circles that have the same A. center.
What are concentric circles ?Concentric circles, a set of coplanar circles sharing the same center point, derive their name from the Latin word "concentricus," which translates to "having a common center."
Varied radii differentiate each concentric circle. If one circle has a smaller radius than another's, it is considered nested inside or simply, inside. Radius denotes the distance between the center point and edge of the circle perimeter.
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Options for this question include:
A. Center
B. Diameter
C. Circumference
D. Radius
(a)A line through (2,1) meets the curve x²-2x-y=3at A (-2,5)and at B. Find the coordinates of B
(b) A(3,1) lies on the curve (x-1)(y+1)=4. A line through A perpendicular to x+2y=7 meets the curve again at B. Find the coordinates of B.
Answers
The slope of the line passing through these two points is:
m = (y2 - y1) / (x2 - x1) = (1 - 5) / (2 - (-2)) = -4/4 = -1
Using the point-slope form of the equation of a line, the equation of the line passing through A and (2,1) is:
y - 5 = -1(x + 2)
y - 5 = -x - 2
y = -x + 3
To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:
x² - 2x - y = 3
y = -x + 3
Substituting the second equation into the first, we get:
x² - 2x - (-x + 3) = 3
x² - x - 6 = 0
Solving for x using the quadratic formula, we get:
x = (1 ± √(1 + 24)) / 2 = 3 or -2
When x = 3, y = -x + 3 = 0, which means that point B is (3,0).
When x = -2, y = -x + 3 = 5, which means that point B is (-2,5).
Therefore, the coordinates of point B are (3,0) and (-2,5).
(b) We know that point A (3,1) lies on the curve (x-1)(y+1)=4.
Substituting x=3 and y=1 into this equation, we get:
(3-1)(1+1) = 4
4 = 4
Therefore, point A satisfies the equation of the curve.
We need to find the equation of the line passing through point A that is perpendicular to the line x+2y=7.
The slope of the line x+2y=7 is:
m = -1/2
The slope of a line perpendicular to this line is the negative reciprocal, which is:
m' = 2
Using the point-slope form of the equation of a line, the equation of the line passing through A(3,1) with slope 2 is:
y - 1 = 2(x - 3)
y - 1 = 2x - 6
y = 2x - 5
To find the coordinates of point B, we need to solve the system of equations formed by the equation of the line and the equation of the curve:
(x-1)(y+1) = 4
y = 2x - 5
Substituting the second equation into the first, we get:
(x-1)(2x-4) = 4
2x³ - 6x² + 4x - 5 = 0
We can use numerical methods to solve this cubic equation to get the value of x, and then substitute it back into the equation y = 2x - 5 to get the value of y. One possible solution is:
x ≈ 2.632
y ≈ -0.736
Therefore, the coordinates of point B are approximately (2.632, -0.736).
Please help ASAP....
Answers
Answer:
7 is D and 8 is D
Step-by-step explanation:
I'm assuming you were asked for the volume of both of these.
7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.
8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.
three ounces looks like which of the following? a. a cupped hand b. a deck of cards c. a baseball d. a tennis ball e. a fist
Answers
Three ounces is equal to 85.064 grams.
To determine what three ounces looks like, it would be helpful to compare this weight to the weight of common objects. A cupped hand would typically hold three to four ounces of liquid, so three ounces would fit in a cupped hand. A deck of cards typically weighs around two ounces, so three ounces would be slightly more than a deck of cards. A baseball weighs approximately five ounces, so three ounces would be less than half of a baseball. A tennis ball weighs around two ounces, so three ounces would be slightly more than a tennis ball. A fist is typically filled with one to two ounces, so three ounces would be significantly more than a fist.
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The research team wishes to understand the difference in rates of midwesterners who regularly pay extra for guacamole when offered versus californians. The team will take a random sample of 100 midwesterners and 100 californians to estimate the difference in the rates. What should the researcher do?.
Answers
When we want to estimate a population parameter then we use hypothesis test.
What is hypothesis test?
In hypothesis testing, an analyst examines a statistical sample with the aim of demonstrating the plausibility of the null hypothesis.
By measuring and reviewing a representative sample of the population under study, statistical analysts test a hypothesis. All analysts use a random population sample to test the null hypothesis and the alternative hypothesis.
Main body:
As the researchers want to understand the difference between to states they need to do a hypothesis test.
Hence a hypothesis test is done.
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4. Kwan Lee budgets 28% of her income
for food. In a circle graph for her
budget, what is the measure of the
central angle for food?
Answers
The measure of the central angle for food is 100.8 degrees.
How to find the measure of a central angle?Kwan Lee budgets 28% of her income for food. In a circle graph for her budget, the measure of the central angle for food can be found as follows:
Therefore, the sum of angles in a circle graph or pie chart is 360 degrees. Hence, let's find the angle for food.
Therefore,
central angle for food = 28% of 360
central angle for food = 28 / 100 ××360
central angle for food = 10080 / 100
central angle for food = 100.8 degrees
Therefore,
central angle for food = 100.8 degrees
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The circumference of a circle is 3 pi feet. Find its diameter, in feet.
Answers
Answer:
3 feet
Step-by-step explanation:
Circumference of circle = d · π
Circumference = 3π
Let'solve
3π = d · π
d = 3 feet
So, the diameter is 3 feet.
Which addition does the model below represent?
Answers
\(option \: a \: is \: the \: right \: answer \\ 3 + ( - 1) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
Answer:
the answer above me (3+(-1)
Step-by-step explanation:
im taking the test rn
What advice would you give to students B and C to help them avoid factoring this
type of problem incorrectly in the future?
Correct solved problem
Student A factored
this expression correctly:
²-10x-24
(x-12)(x+2)
Factor: ²-10-24
Incorrect solved problem:
Sum of the integers does not
equal the middle term
Student B did not factor
this expression correctly.
²-10x-24
(x-4)(x+6)
Incorrect solved problem:
Sum of the integers does not
equal the middle term
Student C did not factor
this expression correctly:
-10-24
(r+12)(x-2)
**Day 4 will open once you post to the discussion board
Answers
Therefore , the solution of the given problem of expressions comes out to be students can develop their factoring abilities and avoid mistakes with practise and instruction.
What exactly is an expression?Estimates that combine joining, disabling, and rather than randomly divide should be produced when variables are shifting. If they got together, they could solve a mental puzzle, provide some data, and instead software. A declaration of truth contains formulas, components, and mathematical processes like combination, subtraction, omission, and grouping. Both phrases and words can be assessed and analysed.
Here,
are some pointers to assist students B and C prevent incorrect factoring in the future:
Regularly practise factoring: Since factoring is a talent that must be honed, students should make sure to factor problems frequently. They will be better able to understand the procedure and spot trends in the expressions they are factoring as a result of this.
Verify the indications again because they are prone to error when factoring. Students should double-check their distribution of the signs and make sure no negative indicators are being left out.
Students should double-check their work by multiplying the factors back together after factoring an equation. They'll be able to correct any errors they may have made thanks to this.
If students need assistance with factoring, they should ask an instructor or tutor for assistance. Although factoring can be a challenging ability to master, students can develop their factoring abilities and avoid mistakes with practise and instruction.
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if 4.5kg sugar cost R36 what will 2.5kg cost
Answers
Answer:
Step-by-step explanation:
Find the unit rate of Sugar. Then find the cost of 2.5 Kg sugar
1 kg sugar =36 ÷ 4.5
\(= \frac{36*10}{4.5*10}= \frac{360}{45}\\\\= 8\)
2.5 kg of sugar= 2.5 * 8 = 20.0 = R 20
Answer:
Kg Rupee
4.5 = 36
2.5 = ?
Therefore, 2.5*36/4.5
Therefore, 25*36*10/45*10
Therefore, 25*36/45
Therefore, 5*5*36/9*5
Therefore, 5*36/9
Therefore, 5*3*2*3*2/3*3
Therefore, 5*2*2
Therefore, 10*2
Therefore, 20
2.5 kg =20 Rupees
If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?
Answers
Given that
log (x+y)/5 =( 1/2) {log x+logy}
We know that
log a+ log b = log ab
⇛log (x+y)/5 =( 1/2) log(xy)
We know that log a^m = m log a
⇛log (x+y)/5 = log (xy)^1/2
⇛log (x+y)/5 = log√(xy)
⇛(x+y)/5 = √(xy)
On squaring both sides then
⇛{ (x+y)/5}^2 = {√(xy)}^2
⇛(x+y)^2/5^2 = xy
⇛(x^2+y^2+2xy)/25 = xy
⇛x^2+y^2+2xy = 25xy
⇛x^2+y^2 = 25xy-2xy
⇛x^2+y^2 = 23xy
⇛( x^2+y^2)/xy = 23
⇛(x^2/xy) +(y^2/xy) = 23
⇛{(x×x)/xy} +{(y×y)/xy} = 23
⇛(x/y)+(y/x) = 23
Therefore, (x/y)+(y/x) = 23
Hence, the value of (x/y)+(y/x) is 23.
Determine the vectors 2a, -2b, and 2a - 2b. express the vectors in both the component form and by using standard unit vectors
Answers
T\(the vector 2a - 2b would be (2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.\)he vector 2a - 2b would be (2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.
Let's first express them in the component form:
1. Vector 2a: If vector a is represented as (a1, a2, a3), then vector 2a would be (2a1, 2a2, 2a3).
2. Vector -2b: If vector b is represented as (b1, b2, b3), then vector -2b would be (\(-2b1, -2b2, -2b3).\)
3. Vector 2a - 2b: Subtract the components of vector 2b from vector 2a. So, (\(the vector 2a - 2b would be (2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.\)).
Now, let's express them using standard unit vectors:
1. Vector 2a: In terms of standard unit vectors, vector 2a would be written as 2ai + 2aj + 2ak.
2. Vector -2b: In terms of standard unit vectors, vector -2b would be written as -2bi - 2bj - 2bk.
3. Vector 2a - 2b: Subtract the components of vector 2b from vector 2a.
To summarize:
- In component for
- 2a
= \(2ai + 2aj + 2ak - -2b\)
=\(-2bi - 2bj - 2bk - 2a - 2b\)
= \((2a1 - 2b1)i + (2a2 - 2b2)j + (2a3 - 2b3)k.\)
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-2x -y=6
-2x +8y=-30
Answers
Answer : -4
explained:
you would have to sub 2 from -2x and -30(-30 - 2 = -32) to get x by it self then divide 8 by 8(equals) x then divide -32 with 8 = -4
your welcome!
Add ( 2y + 2 ) + ( 3x + 9)
Answers
Answer:
2y + 3x + 11
Step-by-step explanation:
I'm not sure..
What is the y intercept of the line that has a slope of 4 and goes through the point (-3, 12)?
Answers
Answer:
y = 4 x + 24 i think thats the answer if not im sorry
Step-by-step explanation:
6. Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
Answers
Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
Help, please the question and thank you
Answers
Answer:
(30,5)
Step-by-step explanation:
Hope this helps! Please mark brainliest!
What is p in p+5=p+6 it doesn’t make sense to me
Answers
Answer:
no solution
Step-by-step explanation:
Given
p + 5 = p + 6 ( subtract 5 from both sides )
p = p + 1 ( subtract p from both sides )
0 = 1 ← not possible
Because it makes no sense the equation has no solution
which postulate or property can be used to prove that kimball is not between scottsbluff and sidney?
Answers
The postulate or property that can be used to prove that Kimball is not between Scottsbluff and Sidney is the Segment Addition Postulate.
The Segment Addition Postulate states that for three points A, B, and C, where B is between A and C,
we have AB + BC = AC.
Given that Kimball is not between Scottsbluff and Sidney, this means that Kimball is either to the west of Scottsbluff or to the east of Sidney.
Let's assume that Kimball is to the west of Scottsbluff.
Then, we can draw the line segment as follows:
Scottsbluff ——————— Kimball ——————— Sidney
Let AB represent the distance between Scottsbluff and Kimball, and let BC represent the distance between Kimball and Sidney. According to the Segment Addition Postulate, AB + BC = AC, where AC is the distance between Scottsbluff and Sidney.
However, if we draw the line segment from Scottsbluff to Sidney without Kimball, we can see that the distance between the two points will always be shorter than the sum of the distances from Scottsbluff to Kimball and from Kimball to Sidney.
This implies that if Kimball is not between Scottsbluff and Sidney, then it is not possible for the segment addition postulate to hold true for the three points.
Therefore, we can use the segment addition postulate to prove that Kimball is not between Scottsbluff and Sidney.
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Add or Subtract these fractions with unlike denominators by finding the Least Common Denominators and writing equivalent fractions to perform the operation.
1. 1/4 + 2/3 =
2. 5/8 + 3/16 =
3. 2/3 - 1/2 =
4. 5/7 - 1/3 =
Answers
Answer:
1. 12
2. 16
3. 6
4. 21
Equivalent Fractions:
1.
1 1/2 = 36/24
3/8 = 9/24
5/6 = 20/24
3 = 72/24
2.
1/4 = 3/12
2/3 = 8/12
3.
5/8 = 10/16
3/16 = 3/16
4.
2/3 = 4/6
1/2 = 3/6
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
Answers
This question is incomplete
Complete Question
A baker uses 5.5 Ibs of flour daily
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
Answer:
51.3 loaves of bread
Step-by-step explanation:
Converting 5.5 Ibs to oz (ounces)
1 Ibs =>12 oz
5.5 Ibs => x
Cross Multiply
12 × 5.5 => 88 oz
1 loaf of bread =>12 oz
Hence, in 1 day
12 oz =>1 loaf of bread
88 oz => x
x =>88 oz/ 12 oz
x => 7.3333333333 loaves of bread
Hence, he can make 7.3333333333 loaves of bread in 1 day
Hence, in 7 days
1 day => 7.3333333333 loaves
7 days => x
x => 7 × 7.3333333333 loaves
x => 51.333333333 loaves of bread
Approximately => 51.3 loaves of bread