Answer:
2x² + 7x + 3 = 0
Step-by-step explanation:
[tex]\sf \text{Sum = -3 + $(\dfrac{-1}{2})$}[/tex]
[tex]\sf = \dfrac{-3*2}{1*2}-\dfrac{1}{2}\\\\=\dfrac{-6}{2}-\dfrac{-1}{2}\\\\=\dfrac{-7}{2}[/tex]
[tex]\sf \text{Product =$-3*\dfrac{-1}{2}$}[/tex]
[tex]= \dfrac{3}{2}[/tex]
Quadratic polynomial:
[tex]\boxed{x^{2}-sum *x+product = 0}[/tex]
[tex]x^{2}- \left(\dfrac{-7}{2}\right)x+\dfrac{3}{2}=0\\\\x^{2} + \left(\dfrac{7}{2}\right)x+\dfrac{3}{2}=0\\[/tex]
Multiply the entire equation by 2
[tex]2*x^{2} + 2*\dfrac{7}{2}x +2*\dfrac{3}{2}=0[/tex]
2x² + 7x + 3 = 0
Please help me with this
B) <2≅<6
Step-by-step explanation:When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.
Defining a Corresponding Angle
Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.
Proving the Lines are Parallel
Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.
Process of Elimination
Additionally, we can prove that B is correct by proving that the other answers are incorrect.
A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.
C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.
D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.
25 points to anybody who can solve this pls!
Answer:
Q' (2,4)
R' (3,1)
S' (5,3)
Step-by-step explanation:
When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.
Answer:
Q=(2,4)
R=(3,1)
S=(5,3)
Step-by-step explanation:
The x value stays the same when reflecting in the x axis
And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.
Please give brainliest :)
A die is rolled eight times. What is the
probability of getting exactly three 6's?
Answer:
0.1042, 10.42%
NEED HELP ASAP!!! WILL GIVE BRAINLIEST!! PLEASE DO BOTH!
solution 1
[tex]\dashrightarrow \sf 6\dfrac{2}{6} *1\dfrac{1}{2}[/tex]
[tex]\dashrightarrow \sf \dfrac{38}{6} *\dfrac{3}{2}[/tex]
[tex]\dashrightarrow \sf \dfrac{114}{12}[/tex]
[tex]\dashrightarrow \sf 9\dfrac{6}{12}[/tex]
solution 2
[tex]\dashrightarrow \sf 5\dfrac{2}{3} *\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf \dfrac{17}{3} *\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf 4\dfrac{3}{12}[/tex]
Answer:
Question 3) -- C -- 9 6/12
Question 4) -- C -- 4 3/12
Step-by-step explanation:
Hope this helps
50 points please help thank you
Step-by-step explanation:
angle 3 = 58
so angle 5 = 58 too
angle 7 = 180 - angle5 - angle6
= 180- 58 -90
= 32 degree
Easy riddle. multiple choice
There are 32 dogs in total.
There are 12 more dogs with black spots than dogs with white spots.
How many dogs with black spots are there?
a) 14
b) 20
c) 22
d) 16
Answer:
The answer is C.
Step-by-step explanation:
(32-12)/2= 10
10+12= 22
Using the distributive property, marta multiplied the binomial (2x 3) by the trinomial (x2 x – 2) and got the expression below. (2x)(x2) (2x)(x) (2x)(–2) (3)(x2) (3)(x) (3)(–2) which is the simplified product? 2x3 6x2 – x – 6 2x3 x2 – x – 6 2x3 5x2 – x – 6 2x3 – x2 – 7x – 6
An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,
[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]
Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
Learn more about Expression:
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Klaudia can swim five laps in the city pool every two and a half minutes If she swims for half an hour every day, how many laps does she swim every four days?
Answer:
240
Step-by-step explanation:
30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps
please help me. I would like an answer for this.
Answer:
Step-by-step explanation:
so cross divide so 5 and 2
Answer: it equals as a fraction 41/5 as a decimal equals 8.2
Step-by-step explanation: hope I helped you . Please give brainliest . Thanks .
Pleaseeeee helpppp meee :)))
A. 51
Step-by-step explanation:
Virtical angles are congruent
F(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0. 3*f(n-1), where n is an integer and n>0. Find f(7) Round your answer to the nearest hundredth
Answer:
f(7) = 1.08
Step-by-step explanation:
The recursive formula can be used with the given value to find the desired value.
__
Given:
f(n) = 0.3×f(n-1) . . . . . where f(5) = 12
The next term in the sequence is ...
f(6) = 0.3×f(5) = 0.3(12) = 3.6
f(7) = 0.3×f(6) = 0.3(3.6) = 1.08
please help me, ive been on this for ages
The picture isin't clear can you write it
If my heart beats 2790 times every three quarters of an hour, what is your heart rate per minute?
Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats. Measuring your heart rate helps you monitor your own health and know if you’re exercising at the right level to get the most benefits to your health.
Your pulse is your heart rate, or the number of times your heart beats in one minute. Pulse rates vary from person to person. Your pulse is lower when you are at rest and increases when you exercise (more oxygen-rich blood is needed by the body when you exercise). Knowing how to take your pulse can help you evaluate your exercise program.
The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?
what is m ∠3 if m ∠2 = 75 what is m ∠3
Answer:
115
Step-by-step explanation:
Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 14.5 over 11.9 endfraction) = θ
The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
The missing information, not present in this question are:
Length of FG = |FG| = 14.5Length of FE = |FE| = 11.9Angle ∠GFE = θSince for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.
Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.
Thus, we get:
[tex]\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\[/tex]
Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
Learn more about inverse trigonometric functions here:
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Answer:
option B
Step-by-step explanation:
PLS HELP ME, I NEED THE STEP BY STEP ONE
Answer: 6, 6, 15, 6, 15, 12, 3 , 15, 1
Step-by-step explanation: I have shown in the file two ways to calculate HCF. That's the answer from 1-9 above.
An example with number 6.
36= 12×3
24=12×2
60=12×5
HCF is 12. The highest number that can divide them all
If f(x) = |x| 9 and g(x) = –6, which describes the range of (f g)(x)?
The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal to (f+g)(x)[tex]\geq[/tex]3 for all the values of x.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
It is given that
[tex]f(x)=|x|+9[/tex]
[tex]g(x)=-6[/tex]
So now
[tex](f+g)(x)=|x|+9-6=|x|+5[/tex]
So from the above equation, we can see that (f+g)(x) describes the range (f+g)(x)[tex]\geq[/tex]3
To know more about function follow
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Answers 76:
Step-by-step explanation:
Can some help me i dont know the awnser
The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square Inches.
A: 4x^2+32x-80=0
B: 4x^2+32x+60=0
C: 2x^2+32x-80=0
D: x^2+16x+60=0
Answer:
A
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
= (2x + 10)(2x + 6) ← expand using FOIL and equate to 140
= 4x² + 12x + 20x + 60 = 140
= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )
4x² + 32x - 80 = 0
Answer:
A: 4x² + 32x - 80 = 0
Step-by-step explanation:
Length = 2x + 10 inWidth = 2x + 6 inArea = 140 in²Formula
Area (rectangle) = Length x WidthSolving :
140 = (2x + 10)(2x + 6)2x(2x) + 10(2x) + 2x(6) + 10(6) = 1404x² + 20x + 12x + 60 = 1404x² + 32x - 80 = 0The correct option is AAverage Tim correctly answers 12 out of 18 questions in a trivia game assuming the situation is proportional how many more questions is he likely to get correct if there are 30 questions and all
Answer:
Step-by-step explanation:
12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions
So if there are 30 questions total, he will get 20 right (30 x 2/3)
If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct
What is the distance between (-5,8) and( 6,8)
Answer: 11
Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5
6+5
11
which unit would be best to measure the length of a whale
The circumference of a circle is 9\piπ ft. find its radius, in feet.
Answer:
r = 4.5 ft
Step-by-step explanation:
Circumference of circle = πd
πd = 9π ft
d = 9π ÷ π
d = 9 ft
Radius = d ÷ 2
= 9 ÷ 2
= 4.5 ft
The following table shows the first segment of a five-year amortization schedule. a 5-year amortization schedule. the amount of interest paid for months 1 through 12 are: 99.03, 97.73, 96.42, 95.10, 93.78, 92.44, 91.09, 89.73, 88.36, 86.98, 85.58, 84.18. after one year of payments, how much has been paid to interest? a. $1,100.42 b. $1,010.16 c. $1,188.34 d. $1,241.18
After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.
We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.
As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6
Therefore, loan amount = $1184.6
The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18
After one year of payments, the amount need to be paid to interest:
= Loan amount - Outstanding amount after 12 months
= 1184.6 - 84.18
= $1100.425
Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
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Find the slope-intercept equation of the line
that passes through (4, -2) and has a slope of
-3.
a
-
Answer:
y = -3x + 10
Step-by-step explanation:
We write The slope-intercept equation of a line D Like this
D : y = mx+b (where m is the slope and p is the y-intercept)
__________________________
According to the given information:
The slope = -3
Then ,the equation of our line is : y = -3x + p
Now we need to find p:
Since The point (4, -2) lie on the line
then
-2 = -3(4) + p
then
-2 = -12 + p
then
p = 12 - 2 = 10
Conclusion:
y = -3x + 10
What is y=3/4x-2 I need help ASAP please
Answer: [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation is in the slope-intercept format of y=mx+b
In this format the slope is m
In this case m is [tex]\frac{3}{4}[/tex]
When it is 11:30 a.m. in dublin, it is 2:30 p.m. in moscow. how far ahead of dublin is moscow? a. 3 hours b. 5 hours c. 9 hours d. 15 hours
a basketball team torunament has 9 teams. every team will place against another team. how many games will there be
Answer:
72 games in total
Step-by-step explanation:
hope this helps :)
Jamari's family has completed 60% of their road trip. If they have completed 90 miles so far, how long is the whole trip?
Answer:
150 miles
Step-by-step explanation:
If they've completed 60% and have covered 90 miles
We can say
60% = 90 (miles)
We can work out 10% by dividing by 6 on both sides
10% = 15
100% is just 10 times larger
100% = 150
The trip (100% completion) is 150 miles