Answer:
x =-2 or 0
Step-by-step explanation:
Factoring 7x2+3x-34
The first term is, 7x2 its coefficient is 7 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is -34
Step-1 : Multiply the coefficient of the first term by the constant 7 • -34 = -238
Step-2 : Find two factors of -238 whose sum equals the coefficient of the middle term, which is 3 .
-238 + 1 = -237
-119 + 2 = -117
-34 + 7 = -27
-17 + 14 = -3
-14 + 17 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 17
7x2 - 14x + 17x - 34
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-2)
Add up the last 2 terms, pulling out common factors :
17 • (x-2)
Step-5 : Add up the four terms of step 4 :
(7x+17) • (x-2)
Which is the desired factorization
(x - 2) • (7x + 17) = 0
Which of these pairs of points defines a line with a slope -4/3?
A) (-1, 6) and (-4, 10)
B) (6, -1) and (-4, 10)
C) (-1, 6) and (10, -4)
D) (6, -1) and (10, -4
Slope is defined as (y2-y1)/(x2-x1)
"A" gives a slope of (10-6)/(-4-(-1))=4/-3=-4/3
Hope this helped
The point pair establishing a line with a slope of -4/3 is (-1, 6) and (-4, 10). which is the correct answer would be an option (A).
What is the slope of the line?The slope of a line is defined as the gradient of the line.
To determine the slope of a line, we can use the formula: slope m = (y₂ - y₁)/(x₂ -x₁ )
Using this formula, we can calculate the slope for each of the pairs of points given:
A) (-1, 6) and (-4, 10):
slope = (10 - 6)/(-4 - (-1)) = -4/3
B) (6, -1) and (-4, 10):
slope = (10 - (-1))/(-4 - 6) = -11/10
C) (-1, 6) and (10, -4):
slope = (-4 - 6)/(10 - (-1)) = -10/11
D) (6, -1) and (10, -4):
slope = (-4 - (-1))/(10 - 6) = -3/4
Therefore, the pair of points that defines a line with a slope of -4/3 is (-1, 6) and (-4, 10).
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5x+7=8x-71 what is x
Answer:
x = 26
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+7=8x−71
Step 1: Subtract 8x from both sides.
5x+7−8x=8x−71−8x
−3x+7=−71
Step 2: Subtract 7 from both sides.
−3x+7−7=−71−7
−3x=−78
Step 3: Divide both sides by -3.
−3x / −3 = −78 / −3
x=26
I hope this helps!
Brainliest is very much appreciated.. :}
Answer:
x=26
Step-by-step explanation:
5x-8x= -71 -7
-3x= -78
-3. -3
Help please
Find the equation of a line that joins the midpoint of (7, 3) and (9, -7) and the y-intercept of
5x – 6 = 2y.
Answer:
y = [tex]\frac{1}{8}[/tex] x - 3
Step-by-step explanation:
Use the midpoint formula
Given (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (9, - 7), thus
midpoint = [ [tex]\frac{1}{2}[/tex] (7 + 9), [tex]\frac{1}{2}[/tex] (3 - 7 ) ] = (8, - 2)
-----------------------------------------------------------
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x - 6 = 2y into this form by dividing all terms by 2
y = [tex]\frac{5}{2}[/tex] x - 3 ← in slope- intercept form
with y- intercept c = - 3 ⇒ (0, - 3 )
-------------------------------------------------------------
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂, x₁ )
with (x₁, y₁ ) = (8, - 2) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3+2}{0-8}[/tex] = [tex]\frac{-1}{-8}[/tex] = [tex]\frac{1}{8}[/tex]
y = [tex]\frac{1}{8}[/tex] x - 3 ← equation of line
How many solutions does this equation have?
(15x + 21)
3
= 5x + 7
Your equation is unclear. Do you mean the following:
(15x+21)/3=5x+7 or 3(15x+21)=5x+7
If the left equation is the correct one, the left side simplifies to 5x+7=5x+7, which must mean all real numbers are correct solutions. Thus, it has infinite real solutions.
The equation (15x + 21)³ = 5x + 7 is a cubic equation. The number of solutions can be 0, 1, 2, or 3 solutions.
Explanation:The equation is (15x + 21)³ = 5x + 7. To determine the number of solutions, we need to simplify and solve the equation.
Step 1: Expand the equation using the binomial theorem. This gives us: 3375x³ + 14175x² + 19305x + 9261 = 5x + 7.
Step 2: Combine like terms on both sides of the equation. This results in: 3375x³ + 14175x² + 19305x + 9254 = 0.
Step 3: This is a cubic equation. Cubic equations can have 3 solutions at most. However, it is not guaranteed that this equation will have 3 solutions. It can have fewer solutions or even no real solutions.
Therefore, the number of solutions for this equation is either 0, 1, 2, or 3 solutions. Further analysis or calculations may be needed to determine the exact number of solutions.
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If the point (2,4 is rotated 90 degrees clockwise what is the location of the new point
Answer:
Therefore the new coordinate of the point is (2,-4)
Step-by-step explanation:
A point (2,4) is rotated [tex]90^\circ[/tex] clockwise .
The point (2,4) lies on the first coordinate.If the point rotated [tex]90^\circ[/tex]clockwise direction It will be go fourth coordinate.
Therefore the new coordinate of the point is (2,-4)
Each side of the regular hexagon below has the same measure. A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options.. The model represents a reduction. Each side of the model is 15 feet long. The model is proportional to the original hexagon. One side of the model can be 8.5 feet. The scale factor is divided by 2.5 to get the dimensions of the model.
Answer:
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
Step-by-step explanation:
A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model?
a.) The model represents a reduction
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
d.) one side of the model can be 8.5 feet long
e.) the scale factor is divided by 2.5 to get the dimensions of the model
Solve 3(x + 2) > x.
{x | x < -1}
{x | x > -1}
{x | x < -3}
{x | x > -3}
Answer:
3x + 6 > x
2x > -6
x > -3
answer is d
Answer:
x > -3
Step-by-step explanation:
The radius of circle L is 16 cm.
What is the length of its diameter?
8 cm
16 cm
32 cm
64 cm
Circle with center at point L. Points G, H, I, J and K are on the circle. Line segments GK, GL, LJ, GLJ, IL, HL, LK and HLK are drawn.
Answer:
32 cm
Step-by-step explanation:
Radius=16 cm
Now
Diameter=2(radius)
Diameter=2(16)
=32 cm
32
Step-by-step explanation:
Cuz radius is half circle, so times that by 2 you get diameter
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3.14(6x)^2
jjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
Step-by-step explanation:
Step-by-step explanation:
[tex]3.14(6x)^{2} \\ \\ = 3.14 \times 36 {x}^{2} \\ \\ = 113.04 {x}^{2} \\ \\ [/tex]
Find the slope of the curve y=-3x-x^2 at the point (-1,2)
Answer:
slope = - 1
Step-by-step explanation:
The slope of the curve m is measured by
m = [tex]\frac{dy}{dx}[/tex] at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = - 3x - x², then
[tex]\frac{dy}{dx}[/tex] = - 3 - 2x
x = - 1 → [tex]\frac{dy}{dx}[/tex] = - 3 - 2(- 1) = - 3 + 2 = - 1 ← slope at (- 1, 2 )
Find the arc length, x, when
r= 8 and 0 = 5 radians.
Answer:
Arc Length = 40
Step-by-step explanation:
Arc Length Formula: S = rΘ
R = radius
Θ = Radians
Step 1: Identify the radius and the radian angle
R = 8
Θ = 5 radians
Step 2: Plug into the equation
S = (8)(5)
Step 3: Solve
S = 40
Answer: Arc Length = 40
Find the nth term in the geometric sequence 12, -3, 3/4
Answer:
12 (-0.25)ⁿ
Step-by-step explanation:
recall that the general form for each term in the geometric progression is
arⁿ
such that the geometric progression looks something like.
ar⁰, ar¹, ar², ar³, ....., arⁿ, ......
also note that r⁰ = 1, hence ar⁰ is simply a
hence the G.P can be written
a, ar, ar², ar³, ....., arⁿ, ......
also note that r can be obtained by simply dividing the 2nd term with the 1stterm. i.e
r = ar ÷ a
now we are given the first 3 terms in the GP as
12, -3, 3/4, ....
comparing with the GP in the previous paragraph, we can see that ,
a = first term = 12
also
r = 2nd term ÷ 1st term
= -3 ÷ 12
= -0.25
hence the nth term
= arⁿ
= 12 (-0.25)ⁿ
Is 3/8 smaller than 11/12
Answer:
3/8 is smaller than 11/12
Step-by-step explanation:
3/8 is equal to 0.375 and 11/12 is equal to 0.91, which makes 3/8 a smaller number and 11/12 a bigger number.
Find the area of a triangle with base 13 inches and height 2 inches.
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting is 126 in^2. What was the original side length of the square.
Answer:
[tex]Original\ length\ of\ square=10\ inches[/tex]
Step-by-step explanation:
Let the length of square [tex]=x\ inches[/tex]
[tex]8[/tex] inches is added one side of square
Then length of one side [tex]=x+8\ inches[/tex]
[tex]3\ inches[/tex] is subtracted other side of square
Then length of other side [tex]=x-3[/tex]
[tex]area\ of square =126\ inches^2\\\\Side\times side =126\ inches^2\\\\(x+8)\times(x-3)=126\ inches^2\\\\x(x-3)+8(x-3)=126\ inches^2\\\\x^2-3x+8x-24=126\ inches^2\\\\x^2+5x-24=126\ inches^2\\\\x^2+5x-150=0\\\\x^2+15x-10x-150=0\\\\x(x+15)-10(x+15)=0\\\\(x+15)(x-10)=0\\\\x+15=0\\x=-15\ \ \ \ negative\ length\ does\ not\ consider\\\\x-10=0\\x=10[/tex]
[tex]Original\ length\ of\ square\ =10\ inches[/tex]
The store buys a keyboard for $35 and sells it for $61.25. What percentage was the markup?
187 is the product of -17 and m .
Answer:m=-11
Step-by-step explanation:
You find the answer by dividing 187 by -17.
The value for m is -11
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: -17m=187
Thus simplifying we get m= 187/-17
= -11
Hence, The value for m is -11
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Solve for the variable in each equation
Answer:
Step-by-step explanation:
6. The measures of the three angles of a triangle
are (3x), (x - 15)° and (2x + 15). What is the
measure of the angle with the greatest measure?
Ben paid $86 for 40 gallons of gas. How much would 15 gallons cost?
What is the area of this parallelogram?
A. 364 cm²
B. 143 cm²
C. 91 cm²
D. 52 cm²
Parallelogram A B C D with side D C parallel to side A B and side A D parallel to side B C. Point F is between points D and C and connects to point B with a dotted segment. Point E is between points A and B is connected to point D with a dotted segment. D F B E is a rectangle with all right angles. D F is 4 centimeters. F C is 7 centimeters. E B is 4 centimeters. A E is 7 centimeters. D E is 13 centimeters.
Answer:52cm
Step-by-step explanation:
The answer to 21 + 1.7+ 0.25
Answer:
22.95
Step-by-step explanation:
Answer:
22.95
Step-by-step explanation:
What is the value of x in 2x+8+3x+5=123
Answer:
5x + 13 = 123
- 13 - 13
5x = 110
5x/5 = 110/5
x = 22
it’s take 4 minutes to fill an empty aquarium to a depth of 2/5 meters. what is the unit rate in minutes per meter?
The unit rate is calculated by dividing the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, the unit rate for filling the aquarium is 10 minutes per meter.
Explanation:To calculate the unit rate, you divide the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, for the unit rate in minutes per meter, you would set up the division as follows:
4 minutes / (2/5) meters
When you divide 4 by 2/5, you actually multiply 4 by the reciprocal of 2/5, which is 5/2.
So, 4 * (5/2) = 10
Therefore, the unit rate for filling the aquarium is 10 minutes per meter.
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hi guys I am dumb so can you guys help
Answer:
study more that should help you out
Step-by-step explanation:
study more
Answer:
try to study
Step-by-step explanation:
6000(1-(1+0.06)‐³²)/0.06(1+0.06)
Answer:
79716.98
Step-by-step explanation:
At noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .48. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage.
The probability that in a sample of 12 customers at Noodles & Company restaurant, none of them will order a nonalcoholic beverage is 0.020211.
Explanation:In this question, we are given that the probability that a customer will order a nonalcoholic beverage at Noodles & Company restaurant is 0.48. We are asked to find the probability that in a sample of 12 customers, none of them will order a nonalcoholic beverage.
To find the probability that none of the 12 customers will order a nonalcoholic beverage, we can use the concept of independent events and the multiplication rule of probability.
The probability that a customer will order a nonalcoholic beverage is 0.48, so the probability that a customer will not order a nonalcoholic beverage is 1 - 0.48 = 0.52. Since each customer's decision is independent, the probability that none of the 12 customers will order a nonalcoholic beverage is (0.52)^12 = 0.020211.
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really need help !!?????
Answer:
x = (150/360)(2π) = (5/6)π
A total of 216 people bought tickets for the matinee and night showing of the school play. Students bought
of the tickets foi
the matinee, while g of the night show's tickets were sold to students. If there were a total of 118 tickets sold to students,
which system of equations can be used to determine the total number of tickets sold for the matinee, x, and for the night
showing y?
© x+y= 216 and < x+y=118
x+y = 118 and ž x+2y=216
x+y = 218 and x+ žy - 118
x+y = 118 and ģx+ Ży-118
the answer is A
Step-by-step explanation:
Answer:
A. x + y = 216 and Two-thirds x + StartFraction 4 Over 9 EndFraction y = 118. ☁︎✮
Step-by-step explanation:
the measure of two supplementary angles have a ratio of 5:4 what is the measure of the large angle?
Answer:
100°
Step-by-step explanation:
The larger one is 5/(5+4) = 5/9 of the total, so is ...
5/9 × 180° = 100°
The measure of the larger angle is 100°.