Solve the equation by factoring 2x^2+x-6=0
Answer:
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
2
+
−
6
=
0
2
x
2
+
x
−
6
=
0
2x2+x−6=0
=
2
a
=
2
a=2
=
1
b
=
1
b=1
=
−
6
c
=
−
6
c=−6
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
√
2
⋅
2
x
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
2
⋅
2
x=2⋅2−1±12−4⋅2(−6)
Answer:
x = - 2, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
2x² + x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 6 = - 12 and sum = + 1
The factors are + 4 and - 3
Use these factors to split the x- term
2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )
2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(2x - 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
evaluate this please
Answer:
17
Step-by-step explanation:
for f(6).
[tex]f(6) = - 3 \times 6 + 1 = 17[/tex]
Answer:
17
Step-by-step explanation:
Need help ASAP. Question is in picture.
Answer:
D
Step-by-step explanation:
D doesnot satisfy when numbers are substituted
The city of Atlanta plans to hold a parade after the Atlanta Falcons win the Super Bowl. They intend to allow fans to watch from the sidewalk on BOTH sides of Peachtree Street. The parade will be 2.5 miles long and the sidewalks are 8 feet deep. If the average person takes up 2.2 square feet of space, what is the estimate for the number of people who can attend the parade?Immersive Reader
(1 Point)
48,000 people
96,000 people
44,000 people
88,000 people
None of above
Answer:
96,000 people
Step-by-step explanation:
convert the length from miles to feet.
2.5 miles = 13,200 feet
Area = 13,200× 8
Area = 105,600 square feet
but the fans will be on both sides of the sidewalk,hence,
the area will be twice.
105,600 square feet ×2= 211,200 square feet.
1 fan = 2.2 square feet
x = 211,200 square feet
therefore number of fans will be = 96,000 people.
Which of the following statements is not true about the relationship
Answer:
C
Step-by-step explanation:
A radio is on sale for half price. Let y be its original price. Write an expression that tells its sale price.
Answer:
50% off of y
Step-by-step explanation:
If the triangles are similar, then the value of x is (blank) and the value of y is (blank)
I REALLY NEED HELP PLZZZ
Answer:
([tex]x[/tex], [tex]y[/tex]) = (30, 16)
Step-by-step explanation:
First find the similarity
Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:
50 ÷ 20 = 2.5
The similarity between the 2 triangles is 2.5.
Now find the length of [tex]x[/tex] on the longer one, use the shorter one's length and the similarity:
12 × 2.5 = 30
So the length of [tex]x[/tex] is equal to 30
Now lets find [tex]y[/tex], lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:
40 ÷ 2.5 = 16
[tex]y[/tex] = 16
WooHoo! ([tex]x[/tex], [tex]y[/tex]) = (30, 16)
Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3,5) Which other ordered pair could he plot? O (4, 6) O (6,4) O (6, 10) O (10, 6)
Answer:
(6, 10)
Step-by-step explanation:
(6, 10) because it can go in a straight line in the same rate.
Answer:
C)
Step-by-stec p explanation:
Pleaseee help me with my math show work please I need the work
I'm sorry the photo is on a side. I'm too lazy to text it on here lol
which shows graph (-3,5) and (4,-3) plotted correctly?
Answer: D
Hope it helps
Answer:
the forth one (d)
Step-by-step explanation:
Katrina and her father put together a keepsake box for her mother.The dimensions of the rectangular base are 90 centimeters by 120 centimeters.To make sure the base is formed with right angles,they measured the diagonal to be 150 centimeters.
A.Explain how to determine if right angles exist without using a protractor.
B.Show all of the steps required to determine if the base has right angles.
Answer:
Let's take a look at the lengths of the sides: 90, 120, 150. What do we notice here?
It's a 3:4:5 triangle.
90/30 = 3, 120/30 = 4, 150/30 = 5.
That the 2 triangles formed by line running diagonally through the base creates AT LEAST 2 right angles.
Since the total amount of degrees in a quadliateral is 360,
180(s-2)
And we know that there are 2 right angles which equals to 180 and the sides are all parallel to each other,
That must mean that the 2 remaining angles of the box add up to 180,
Therefore all angles are 90 degrees.
2/5 of the class of 30 students are wearing red t-shirts today. How many student are wearing red t-shirts?
Answer:
12
Step-by-step explanation:
30 divided by 5 then you have six so everyone 1/5 is 6 and 2/5 is wearing red so then 2/5 is 12
Answer:
12 students are wearing red t-shirts.
Step-by-step explanation:
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?
Answer:
The coordinates of the image of point A are (-1, -6)
Step-by-step explanation:
Let us revise the rule of translation to the left, down, and reflection across the x-axis
If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)∵ The coordinates of point A are (3, 4)
∵ It is translated 4 units left
∴ h = 4
→ By using the 1st rule above
∴ Its image is (3 - 4, 4)
∴ Its image is (-1, 4)
∵ Its is reflected across the x-axis
→ By using the 3rd rule above change the sign of its y-coordinate
∴ The new image is (-1, -4)
∵ It is translated 2 units down
∴ k = 2
→ By using the 2nd rule above
∴ The final image is (-1, -4 - 2)
∴ The final image is (-1, -6)
∴ The coordinates of the image of point A are (-1, -6).
Which equation is equivalent to 2x + 3y = 12?
y=2/3x+4
y= -2/3x+12
y= -2/3x+4
y=2/3x+12
Answer:
y= -2/3x + 4
Step-by-step explanation:
2x + 3y = 12
3y = 12 - 2x
3y/3 = 12/3 - 2x/3
y = 4 -2x/3
y = -2x/3 + 4
A hot air balloon traveled 2.5 hours at a speed of 450 km/hr. What distance did it travel?
Answer:
1,125 km
Step-by-step explanation:
So you want to find out how far the balloon went and we already know how fast and how long it's been traveling for. So now, all you have to do is come up with an equation which looks like:
2.5 x 450
Which equals 1,125 km.
The speed 450km/hour tells us that the balloon travels 450km in one hour. To find how much it traveled in 2.5 hours, we multiply 450 by 2.5.
450 x 2.5 = 1125 km
Therefore, the balloon traveled 1125 km in 2.5 hours
Point A is at (-6,8) and point M is at (0,0.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
(6,-7)
Step-by-step explanation:
the coordinates of point B are (6-7)
Answer:
the first answer is right
Step-by-step explanation:
The length of a rectangle measures (2x+7) inches, and its width measures (x−5) inches. If the perimeter of the rectangle is 40 meters. Find the dimensions (length & width) of the rectangle. Can someone help me pls
Answer:
x=4
length=13
width=-1
Step-by-step explanation:
4) After solving a rational equation you must check your solutions in the
original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.
Answer: D) To make sure the value does not make the denominator 0.
We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.
A triangle has a base that measures 27 inches and a height that measures 18 inches. How many square inches are in this triangle?
Write the following equation in slope intercept form.
x-2y=42
y= x+
Answer:
Not sure but I'm gonna try
Step-by-step explanation:
x-2y=42
-2y=-x+42
y= (-x/2)+(42/2)
y=-x/2 + 21
A circle has a circumference of 28.26 unites. What is the diameter of the circle?
Since we know the Circumference of the circle (28.26) we can use the formula to find the Diameter of the circle
D = C/πD = 28.26/πD = 8.99543738355...D = 9 (Round it)9The Diameter of the circle is 9
what is 15,420 divided by 20
Answer:771
Step-by-step explanation:I did a long division by using a calculator
Answer:
771
I used an app
Find the next two numbers in the pattern. 5, −20, 80, −320, ...
Answer:
1280, -5120
Step-by-step explanation:
it gets multiplied by -4 every time
Plsss help me :( ASAP
Answer:
61.66
Step-by-step explanation:
1. Multiply
2. divide
Answer:
61.66
Step-by-step explanation:
Just trust me!! IM SMART
HELP PLEASE!!! - Uranus is about 1.784109 miles from the Sun. About how far is Uranus from Mercury?
Answer:
About 1,749,638,696 miles.
Step-by-step explanation:
It might be incorrect so don't fully trust me.
Given ΔGHJ, complete the following statements. The included angle of sides JG and GH is angle . Angle H is the opposite angle to side . The side opposite to ∠J is side .
Answer:
G , JG, GH are the answers
Step-by-step explanation:
I’m so sorry the wretarded Billie Eyelash Stan couldn’t answer your question the first time :( but luckily my awesome smartness came along and gave you the answer, yes, yes. no problem anytime ;)
Answer:
G , JG, GH are the answers
Step-by-step explanation:
i just did it 100%
Here is the last one.
$ 190.40 hope it he,lps.
I will mark brainliest if answered correctly, plz hurry!!!
△DEF and △FGH similar right triangles. The coordinates of all the vertices are integers. The relationship between the slope of DF¯¯¯¯¯ and the slope of FH¯¯¯¯¯¯ cannot be determined, because the triangles are congruent. The slope of DF¯¯¯¯¯ is less than the slope of FH¯¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for DF¯¯¯¯¯ than for FH¯¯¯¯¯¯ . The slope of DF¯¯¯¯¯ is equal to the slope of FH¯¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for DF¯¯¯¯¯ as for FH¯¯¯¯¯¯ The slope of DF¯¯¯¯¯ is greater than the slope of FH¯¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for DF¯¯¯¯¯ than for FH¯¯¯¯¯¯ .
Answer:
Congruent triangles are triangles with the same sides and the same measure of angles. You are given triangle DEF which is similar to triangle FGH. From the figure, side FH is larger than side DF. So the statement of them being congruent cancels out. Triangle DEF is smaller in size than triangle FGH. So they are not congruent. The slope is defined as the rise overrun. Side DF has the same slope as side FH. Sides DE and FE are proportional to sides FG and HG. Only C and D are correct.
Step-by-step explanation:
√(54a^-4÷6a^-8) solve this Indices question.
Answer:
3a^2
Step-by-step explanation:
solve as follows by using the laws of indices
Index or indices determines how many times a phrase has been multiplied by itself. The value of the given indices expression will be 3a².
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 radical is the symbol that is used to represent the root in the expression n√x, while an index or indices determines how many times a phrase has been multiplied by itself, it is represented by a tiny number in the superscript form.
The given indices expression can be solved as shown below.,
[tex]\sqrt{\dfrac{54a^{-4}}{6^{-8}}}[/tex]
[tex]= \sqrt{\dfrac{54(a^{-4})(a^{8})}{6}}[/tex]
[tex]= \sqrt{\dfrac{54(a^{-4+8})}{6}}\\\\= \sqrt{\dfrac{54(a^4)}{6}}[/tex]
= √(9a⁴)
=√(3a²)²
= 3a²
Hence, the value of the given indices expression will be 3a².
Learn more about Expression here:
https://brainly.com/question/13947055
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What is the value of x in the equation x^ 2 = 25 /64
Answer:
[tex] {x ^{2} = \frac{25}{64} } \\ x = \sqrt{ \frac{25}{64} } \\ x = \frac{5}{8} \: \: x = - \frac{5}{8} [/tex]
