Select the two values of x that are roots of this equation.
2x2 + 7 x + 6 = 0
O A. X=-3
B. X= -4
C. x= -2
D. x= - 3/2
just for those that cant find it!
answer is in the picture, hope that helps
Answers
Answer:
[tex]\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}[/tex]
Step-by-step explanation:
Given :-
A quadratic equation is given to us.The equation is 2x² + 7x +6=0And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,
Given equation :-
[tex]\implies 2x^2 + 7x +6=0[/tex]
Step 1: Find out the factors of 12 :-
We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .
And 3 + 4 = 7. So we will break the middle term into 3x and 4x .Step 2 : Breaking the middle term :-
[tex]\implies 2x^2 + 3x+4x +6=0[/tex]
Step 3: Take out common from terms :-
[tex]\implies x(2x + 3) +2(2x +3)=0[/tex]
[tex]\implies ( x +2)(2x+3)=0 [/tex]
Step 4 : Equate them with 0 :-
[tex]\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}[/tex]
Hence the correct options are C and D .
Related Questions
Tom can do a job in 210 minutes; Tom and Jerry can do the job together in 52 minutes. How long for Jerry to do the job by himself?
Answers
Answer:
158
Step-by-step explanation:
you only need to do is subtract
Jerry can do the job in approx 17 minutes working alone.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Tom can do a job in 210 minutes and assuming Jerry to do the job
in x minutes and work to be 1.
∴ 1/210 + 1/x = 1/52.
1/x = 1/52 - 1/210.
1/x = (210 - 52)/2730.
1/x = 158/2730.
1/x = 79/1365.
x = 1375/79.
x = 17 minutes approx.
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I NEED AN ANSWER PLEASE!
Use the Pythagorean Theorem to find the distance between the points (1, 4) and (-5, -4) on the coordinate plane.
Answers
Answer:
1×-5= -5squared =25+(4×-4squared)=25+(-16)=9
Solve the following quadratic
function by factoring:
f(x) = x2 – 10x + 9
Answers
Answer:
2x
Step-by-step explanation:
3ewecwaexwecweewesias9aslsx
What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?
radius: 6 units; center: (2, 3)
radius: 36 units; center: (2, 3)
radius: 6 units; center: (–2, –3)
radius: 36 units; center: (–2, –3)
Answers
Answer:
A
Step-by-step explanation:
Commenter is right cause I graphed it to doublecheck
The centre and radius of the circle is (2, 3) and 6 units respectively
What are equation of a circle?The standard equation of a circle is expressed as:
(x – a)² + (y – b)² = r²
where:
centre = (a, b)r is the radiusGiven the equation
(x – 2)² + (y – 3)² = 36
Compare
(a, b) = (2, 3)
r² = 36
r = 6 units
Hence the centre and radius of the circle is (2, 3) and 6 units respectively
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In the diagram shown, points B and D lie on sides AC and AE such that BD is parallel to CE . If 10AB, 16BC , and 13AD then find the length of AE ?
Answers
Answer:
[tex] \displaystyle \overline{AE} = 33.8[/tex]
Step-by-step explanation:
By triangle similarity theorem we acquire:
[tex] \displaystyle \frac{10}{16 + 10} = \frac{13}{ AE } [/tex]
since AE=AD+ED substitute:
[tex] \displaystyle \frac{10}{16 + 10} = \frac{13}{ 13 + ED} [/tex]
simplify addition:
[tex] \displaystyle \frac{10}{26} = \frac{13}{ 13 + ED} [/tex]
cross multiplication:
[tex] \displaystyle 10(13 + ED) = 26 \times 13[/tex]
distribute:
[tex] \displaystyle 13 0+ 10ED = 26 \times 13[/tex]
simplify multiplication:
[tex] \displaystyle 13 0+ 10ED =338[/tex]
cancel 130 from both sides:
[tex] \displaystyle10ED =208[/tex]
divide both sides by 10:
[tex] \displaystyle \: ED =20.8[/tex]
so, the measure of side AE=20.8+13=33.8
Can you help me please everyone is ignoring my questions
also explain how you got that answer too
Answers
Angle C is 127 degrees
5. A manufacturing plant stores chemical waste in a temporary holding tank to be disposed of later. They have recently changed their storage procedure. The new procedure increases the amount, in pounds, of a dangerous chemical in the tank at a rate defined by the (12 - t)
function c(t) = e
3, where t is the number of months since the change was
implemented. Simultaneously, the plant also began a new removal procedure, which (t - 16)
removes the chemical from the tank at a rate defined by the function r(t) = e t is the number of months since the removal procedure began.
Part A
4, where
How many months will it take for the rate at which the chemical is added to the tank to be equal to the rate at which the chemical is removed from the tank? Explain how you found your answer.
Respond in the space provided.
Answers
hey bro wassup are you in a class
2% of time a baseball player gets a double. 15% of the time a basketball player strikes out. What is the probability that the baseball player will not get a double?
2%
1%
99%
98%
Answers
he dot plot below shows how many days this week students in 6th grade had a Poptart for breakfast.
Which statement about the data is true?
A.
The range is 8.
B.
The mode is 3.
C.
There is a gap from 5 to 7.
D.
The median is 2.
Answers
Answer:
letter c
im not sure and i hope this is helpful
help asap please i dont even know what to do
Answers
Answer:
m∠SWX=39°, and m∠VWY=51°
Step-by-step explanation:
∠XWU and ∠VWY are vertical angles. Vertical angles are congruent.
∠XWU=∠VWY
we are given ∠XWU=(7x+2)° and ∠VWY=(4x+23)°, so:
7x+2=4x+23
3x+2=23
3x=21
x=7
Now substitute x for 7 in both expressions to get the measures of the angles.
∠XWU=(7(7)+2)°=(49+2)°=51°
∠VWY is also 51° because it is congruent to ∠XWU, but just to make sure:
∠VWY=(4(7)+23)°=(28+23)°=51°
we also need ∠SWX. We can see it makes a right angle with ∠XWU, so their sum is 90°.
∠SWX+51=90
∠SWX=39°
Answer:
7x+2 and 4x +23 are the same
so 7x+2=4x+23
7x-4x=23-2
3x=21
x=21/3
x=7
Plug it in to the angles
UWX = 7(7)+2 = 51
VWY = 51 because they are vertically opposite
so because UWX is 51
SWU makes up 90
so you do 90-51 to get SWX
and thats equals to 39
In summary
VWY = 51
SWX = 39
Step-by-step explanation:
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square? A square with a side length of 6 units is shown. A diagonal is drawn with one section shaded inside the figure. (5 points) a fraction 1 over 4 ⋅ 6 ⋅ 6 b fraction 1 over 2 ⋅ 3 ⋅ 3 c fraction 1 over 4 ⋅ 3 ⋅ 3 d fraction 1 over 2 ⋅ 6 ⋅ 6
Answers
Answer:
Step-by-step explanation:
1/2 6 times 6
It’s two questions in one.
Answers
Answer:
99
184
Explanation:
I pinky promise it's right
Find the length of x. Assume that lines which appear to be tangent to the circle are tangent.
A) 32
B) 35
C)38
D)42
Answers
can someone tell the answer of 22 number
Answers
The reason being is when you multiply exponents with each other they end up adding with each other
Answer:
♕ [tex] \large{ \tt{ E\: X \: P \: L \: A \: N \: A\: T \: I \: O \: N}} : [/tex]
♨ [tex] \underline{ \large{ \tt{G \: I \: V \: E \: N}}} : [/tex]
Length ( l ) = ( pq )² cm & breadth ( b ) = ( p²q ) cm✎ [tex] \underline{ \large{ \tt{T\: O \: \: F \: I \: N \: D}}} : [/tex]
Area of the rectangle☄ [tex] \underline{ \large{ \tt{S\: O \: L \: U \: T \: I \: O \: N}}} : [/tex]
[tex] \boxed{ \text{Area \: Of \: Rectangle = l \: × \: b}}[/tex]
Plug the values and then simplify !
[tex] \large{ \bf{↬( {pq)}^{2} \times {p}^{2}q }}[/tex]
[tex] \large{ \bf{↬ {p}^{2} {q}^{2} \times {p}^{2} q}}[/tex]
[tex] \large{ \bf{ ↬{p}^{2 + 2} {q}^{2 + 1}}} [/tex]
[tex] \boxed{\large{ ↬\bf{ {p}^{4} {q}^{3}}}} [/tex]
[tex] \boxed{ \boxed {\tt{⟿ \: Our \: Final \: Answer : \boxed{ \underline{ \tt{ {p}^{4} {q}^{3} \: cm²}}}}}} [/tex]
۵ [tex] \underline{ \large{ \tt{REMEMBER}}} : [/tex] To multiply two terms with same base , their indices are added and the same base is taken.
✢ [tex] \underline{ \large{ \tt{STUDY \: TIP}} }: [/tex]
Write notes in your own words - don't just copy from your textbook. ✔♪ Hope I helped!.
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100%
A statue is 9 meters tall.
Choose all the values that when multiplied by 9 meters equal a value that is less than 9 meters.
A.
B.
9
10
c.
360
D
E
olos
Answers
Answer: A and C and D and E
Step-by-step explanation:
I got this Q actually
What type of lens is formed by a lens if m= 2.7?
Answers
Answer:
convex lens
Step-by-step explanation:
M = 2.7 means +2.7 => convex lens
Answer:
One that is smaller than the object and real
The value of one of Kevin's baseball cards was $6.00 when he first got it. The value of this card is now $15.00. What is the percent increase in the value of the
card?
Answers
Answer:
21
Step-by-step explanation:
So you have to do 6.00 plus 15.00 which is 21.00 so the answer would be 21.00
6.00 + 15.00 = 21.00
find the composite area of the polygon below:
Answers
Answer:
5 x 5 = 25
4 x 2 = 8
25 + 8 = 33 cm^2
What is the solution(s)?
Answers
Answer:
x = 2
Step-by-step explanation:
-12 = -3x²
divide through by -3
-12/-3 = -3x²/-3
4 = x²
square root both sides
[4]^½ = x²× x^½
so therefore: 2 = x
Name Age
Alex 8
A.j 6
Chelsea 9
Derek 15
Maddie 12
Paul 8
Ryan 19
Willa 11
What is the median age of Emma's cousins?
Answers
Solve w ^ 2 = - 4 , where w is a real number
Answers
Answer:
[tex]\huge{\boxed{\boxed{\tt { ⎆ Answer :- }}}} \ [/tex]
[tex]w {}^{2} = - 4 \\ w = \sqrt{ - 4} \\ w = \frac{ + }{} 2[/tex]
Chloe had 2 bags of dry cat food, she combined them into one big container. One bag had56kg of cat food. The other bag had 34kg of cat food. How many kilograms does the container weigh now that the bags have been combined?
Answers
Answer: 90kg of cat food
Step-by-step explanation: 56+34=90
Answer:
90kg
Step-by-step explanation:
56 plus 34 is 90
Which ordered pair is a solution for the equation y = 3x - 2?
Answers
Answer:
(2,4)
Step-by-step explanation:
Because
3(2) - 2=4
3/5 × -4/7 + 4/35 - 3/10 × 4/7
Someone pls find an answer to this. Urgent! Pls use distributive property to solve.
Answers
Answer:
I think its -2/5 but not sure
Step-by-step explanation:
Answer:
-0.4
بالاعتماد على الاولويات
I’m confused on question 6 however I feel like the answer is B can someone check please?
Answers
Answer:
I thinks it's B too
hope this helps
have a good day :)
Step-by-step explanation:
please help i’ll give brainliest to the person who gets it right
Answers
Answer:
Angle J=180-(90+58)
=180-148
j =32
angle h=90(because the angle of a semicircle is 90)
x = -6 + y
X - 3y = 28
Answers
x= -23
hope this helps!!
what is 34 times 32 divided by 6 ( real question UwU or OwO )
Answers
[tex]\Large\orange{\boxed{\green{\mathcal{\underbrace{\overbrace{\fcolorbox{blue}{navy}{\underline{\color{ivory}{ANSWER}}}}}}}}}[/tex]
181.333333333#CarryOnLearning
PLEASE ANSWER THISSSSSSSSSSSS WUICK
Answers
Answer:
D. 87
Step-by-step explanation:
Mode is the number that shows up most often.
The graph shows the motion of two cars starting at different places on a highway.
Their speeds can be compared by comparing the steepness of the graphed lines.
Use the drop-down menus to complete the statements.
Help me
Answers
Answer:
Car a travels (300) miles in 6 hours
Car B travels (200) miles in 5 hours
Car A speed is (50) miles per hour
Car B speed is(40) miles per hour.
Car A traveled (faster than) Car B.
The graph for Car A is(steeper than) the graph for Car B
Step-by-step explanation: