The correct solution of the given quadratic equation was found using the formula.
The given equation is:
[tex]9x+2=8x^{2} +6x[/tex]
[tex]8x^{2} +6x-9x-2=0[/tex]
[tex]8x^{2} -3x-2=0[/tex]....(1)
What is a quadratic equation?An equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
We can solve equation (1) by the formula
[tex]x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
So, [tex]x=\frac{3+-\sqrt{(-3)^{2} -4(8)(-2)} }{2(8)}[/tex]
[tex]x=\frac{-3+-\sqrt{73} }{16}[/tex]
Hence, the correct solution of the given quadratic equation was found using the formula.
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Which choice correctly compares the two decimal numbers to hundredths? A) 28.14 > 29.11 B) 28.61 > 28.48 C) 29.13 < 28.37 D) 29.19 < 28.32
Answer:
B) 28.61 > 28.48
Step-by-step explanation:
A is wrong because 28 < 29
B is correct because 0.61 > 0.48
C is wrong because 29 > 28
D is wrong because 29 > 28
I hope this helps!
5.967 is when rounded to the nearest whole number.
Answer:6
Step-by-step explanation:
5.967 is about 6 because 5.9 9 is above 4 so we round up.
Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 11 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 34 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Answer:
92.86%
Step-by-step explanation:
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Which equation is a linear function?
Answer:
B) -5y + 3x = 7 is linear.
Step-by-step explanation:
Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.
Please help I will give brainliest.
Answer:
t = 1 sec 5 meters
Step-by-step explanation:
When the object hits the ground , height = 0
0 = (5t+5)(1-t) so t = -1(throw out...can't have negative time value) or 1
As the object is dropped, t = 0 sub that in to the equation
h = (5(0)+5)(1-0) = 5 meters
1. We know if just one dimension of a 3-D figure is 4 times longer, the volume is 4 times longer. If all three dimensions change to be 4 times longer, how many times larger is the volume?
Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:
V = 4³ = 4 x 4 x 4 = 64.
The volume is 64 times larger than the volume of the original figure.
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PLEASE HELP! WILL GIVE BRAINLIEST!
In this problem, we use your critical values table to explore the significance of r based on different sample sizes.
Answer:
1. A,B,D,E
2. E,A,B,D,C
3.H,A,C,D
Step-by-step explanation:
hi please help thanks!
[tex] \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ [/tex]
[tex] \frac{15}{4} \div \frac{1}{5} = \\ [/tex]
[tex] \frac{15}{4} \times \frac{5}{1} = \\ [/tex]
[tex] \frac{75}{4} = \\ [/tex]
[tex] \frac{72 + 3}{4} = \\ [/tex]
[tex] \frac{72}{4} + \frac{3}{4} = \\ [/tex]
[tex]18 + 0.75 = [/tex]
[tex]18.75[/tex]
Question 4e Choice Worth 2 )
(03.06 MC)
B В
V
х
у
WD
N
A
What expression represents the value of x?
Ox= ww+z)
Ox=vZ(w+z)
=
Ox=/wy
Ox=WZ
ſ
Answer:
A
Step-by-step explanation:
using the altitude- on- hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so
x² = w × (w + z) = w(w + z) ← take square root of both sides
x = [tex]\sqrt{w(w+z)}[/tex]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.
Then the equation is given as,
x / (w + z) = w / x
Simplify the equation for 'x', then the equation is written as,
x / (w + z) = w / x
x² = w × (w + z)
x = √[w(w + z)]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
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Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third.
The smallest integer is ___
Answer:
The smallest integer is 4Step-by-step explanation:
So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!
Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.
Refer to the attachment now.
The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2. 11 ounces and a standard deviation of 0. 08 ounce. The eggs produced at Rick's Chick Farm have a mean weight of 2. 15 ounces and a standard deviation of 0. 07 ounce. Each farm produces a total of 100, 00 eggs per month
The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg
Who is more likely to select an egg classified as large?The given parameters are:
Jen's Hen Farm
Mean, μ = 2.11Standard deviation, σ = 0.08Rick's Chick Farm
Mean, μ = 2.15Standard deviation, σ = 0.07The range of the egg distribution in both samples is calculated using μ ± σ
For Jen, we have:
μ ± σ = 2.11 ± 0.08
Expand
μ ± σ = (2.11 - 0.08, 2.11 + 0.08)
This gives
μ ± σ = (2.03, 2.19)
For Rick, we have:
μ ± σ = 2.15 ± 0.07
Expand
μ ± σ = (2.15 - 0.07, 2.15 + 0.07)
This gives
μ ± σ = (2.08, 2.22)
So, we have:
Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16
Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14
Eggs classified as large have the weight 2.0 < m ≤ 2.25
0.16 is greater than 0.14.
Hence, Jen's egg is more likely to be classified as large egg
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Which inequalities are true? Select the four correct answers.
O<
0 V8
OVE <3
V> 7
口<2
O /> 8
01
Step-by-step explanation:
Check the attached photo out
I need help with this ?
Answer:
132 cm cubed
Step-by-step explanation:
so if [tex]\pi[/tex] = 3
cylinder 1 = 3 x 2 x 2 x 7 = 84 cm cubed
cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed
all together = 84 + 48 = 132 cm cubed
area of this object = 132 cm cubed
The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width
Answer:
10
Step-by-step explanation:
Since a rectangle has 2 sets of congruent sides we can set up the equation:
48=2x+2y
We have our x value/length (14) so we can plug that in to the equation.
48=2(14)+2y
Then we have to simplify
48=28+2y
20=2y
Then simply solve for the y value, which is your width
10=y
Which of the following is true about the expression 5^1/4
Answer:
Answer is greater than 1
Includes Fraction
Rational
Step-by-step explanation:
A rectangle measures 2
1
2
inches by 1
5
16
inches. What is its area?
Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².
What is the area of a rectangle?
The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:
A = lw.
In this problem, the dimensions in inches are given as follows.
[tex]l = 2\frac{1}{2} = 2 + 0.5 = 2.5[/tex].[tex]w = 1\frac{5}{16} = 1 + 0.3125 = 1.3125[/tex].Hence the area in squared inches is given by:
A = lw = 2.5 x 1.3125 = 3.28125 in².
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help fast!! (no links please.)
Answer:
C) 3.
Step-by-step explanation:
(3^2 + 2^2) - 2(3^2 - 2^2)
= (9 + 4) - 2(5)
= 13 = 10
= 3.
Answer:
C) 3
Step-by-step explanation:
When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.
( c^2 + d^2 ) - 2 ( c^2 - d^2 )
( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )
( 9 + 4 ) - 2 ( 9 - 4 )
( 13 ) - 2 ( 5 )
( 13 ) - 10
3
A weather researcher compared average monthly temperature data for
Athens, Greece, and Brussels, Belgium
Madrid Brussels
Mean 59°F 51'F
Range 20.4°F 14.1°F
Based on these data, which statements are true?
O A. On average, Madrid has a higher monthly temperature. Its monthly
temperatures also vary more.
O B. On average, Madrid has a higher monthly temperature. However,
temperatures in Brussels vary more.
C. On average, Brussels has a higher monthly temperature. However,
temperatures in Madrid vary more.
D. On average, Brussels has a higher monthly temperature. Its
monthly temperatures also vary more.
Please please help first answer and the answer is correct will get a brainlist and a 5 star like please help!!! FAST ⚠️
Answer:
A. Madrid has a higher monthly average and its monthly temps vary more.
Step-by-step explanation:
I got this right on the quiz.
If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly
my apologies if i get it wrong.
Answer:
A.
Step-by-step explanation:
Help pls asap!! No links.
Answer:
Step-by-step explanation:
1. Do what is inside the parantheses
[tex]4^{2} +3+2\\16+3+2 = 21[/tex]
[tex]7^{2} +3(21)[/tex]
2. Simplify both terms
[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]
3. Solve
[tex]49+63 = 112[/tex]
Answer:
the answer is 102
Step-by-step explanation:
follow the pemdas explanation
what is the volume of the rectangular prism?
Answer:
96
Step-by-step explanation:
L x W x H
8 x 4 x 3 = 96
Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jackie left? A) $4. 82 B) $5. 08 C) $6. 58 D) $7. 12
well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]
so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]
Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?
Jill and Cheryl took 12 years and 18 years, respectively, to double their money.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Jill invested $500 in an account with a compound interest rate of 6%.
Cheryl invests $600 in an account with a compound interest rate of 4%.
The number of years each doubles their money. Using the relation of 72.
[tex]\rm t = \dfrac{72}{r}[/tex]
where r is the interest rate and t be the time
The time for the Jill will be
[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]
The time for the Cheryl will be
[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]
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Find the distance between the points (-8,-9)and (-3,3)
Answer:
13
Step-by-step explanation:
Use the distance formula and plug in both points
Answer:
its either 11 or 13 im not sure
Step-by-step explanation:
Which expression represents the volume of the sphere, in cubic units? three-fourthsπ(6)2 four-thirdsπ(6)3 three-fourthsπ(12)2 four-thirdsπ(12)3
The expression that represents the volume of the sphere is (4/3)π(6)³.
The radius of the sphere = 6 units
What is the volume of a sphere?The volume of a sphere with radius r is 4/3πr³.
So, the volume of the given sphere with a radius of 6 units = (4/3)π(6)³
The volume of the given sphere with a radius of 6 units = (4/3)π*216
The volume of the given sphere with a radius of 6 units = 288π cubic units.
Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.
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Answer: B
Step-by-step explanation: edge 2023
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
Answer:
y=-0.6x+1.8
Step-by-step explanation:
Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8
The reference angle for 5pie/4 is pie/4, which has a terminal point (sqr2/2,sqr2/2), what is the terminal point of 5pie/4?
Check the picture below.
How to do this please help
Write an equation and please explain how to do it
In the frog jumping contest, Sam's frog 17.53 meters. Juan's frog jumped 23.8 meters. How much further did Juan's frog jump?
Find cos(B) in the triangle.
B
3
C
4
A
5
Answer:
3/4 = 6/10 = 0.6
Step-by-step explanation:
cos is Division of Adjacent side by hypotenuse
I will give some brainliest if they answer this
Answer:
Given:
Total horses tested = 140Horses that had Lyme disease = 42Horses that had arthritis = 112Let x = number of horses that had BOTH Lyme disease and arthritis.
⇒ (112 - x) + (42 - x) + x = 140
⇒ 154 - x = 140
⇒ x = 14
Therefore, place 14 in the middle overlapping area.
To find the number to place in the left section: 42 - 14 = 28
To find the number to place in the right section: 112 - 14 = 98