PLS HELP ASAP
Choose the (factored) form of the given equation.
6 x2 + 2 x - 8 = 0
1. (6 x - 8)( x + 1) = 0
2. (6 x + 8)( x - 1) = 0
3. (6 x + 1)( x - 8) = 0
Answer:
1,=(6x-8)(x+1)
=6x²+6x-8x-8
=6x²-2x-8
2,=(6x+8)(x-1)
=6x²-6x+8x-8
=6x²+2x-8
3,=(6x+1)(x-8)
=6x²-42x+x-8
=6x²-41x-8
Answer:
second option
Step-by-step explanation:
Expand the factors using FOIL
1
(6x - 8)(x + 1) = 0
6x² - 2x - 8 = 0 ≠ 6x² + 2x - 8
2
(6x + 8)(x - 1) = 0
6x² + 2x - 8 = 0 ← True
3
(6x + 1)(x - 8)
= 6x² - 47x - 8 = 0 ≠ 6x² + 2x - 8 = 0
Thus the factored form is
6x² + 2x - 8 = 0
(6x + 8)(x - 1) = 0 → second option
A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel? What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
Answer:
6-hours
D = C + T
Step-by-step explanation:
The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...
C = 45x
T = 60x
Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...
45(x+2) = 60x ... distribute 45 evenly
45x + 90 = 60x ... subtract 45x from both sides
90 = 15x ... divide both sides by 15
6 = x
Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...
D = C + T
What is 100% of 80?????
Answer:
80/100
Step-by-step explanation:
Answer:
The answer to your question is going to be 80
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
yes, phone companies, are only allowed to charge for the amount of data you use
Step-by-step explanation:
A grounds keeper needs grass to cover a circular field 290 feet in diameter.a store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain ir show your reasoning
Answer:The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.
Given:
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
To find:
The smallest number of bags the groundskeeper must buy to cover the field.
Solution:
Diameter of the field = 290 feet, radius = 145 feet
Step-by-step explanation:
In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.
Answer:
148º
Step-by-step explanation:
Use the information given:
The measure of a straight line is 180º. So angle PST=180-(2R+8)Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.Combine like terms, 212-R=180Subtract, -R=-32Convert to positive, R=32ºWith R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:
32º+72º+108º+STR=360ºCombine like terms, 212º+STR=360ºSubtract, STR=148ºSolve the system by substitution 2x-y=39 and -6y=x
Answer:
x=18,y=-3
Step-by-step explanation:
Tell whether the sequence is arithmetic if it is identify the common difference. -7, -3, 1, 5
Step-by-step explanation:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
d=-7+3=-3-1=1-5=-4
so it is an arithmetic sequence
hope it helps
A government estimates the cost to design new radar technology over a period of $m$ months. The government estimates $840,000 for equipment, $15,000 for software, and $40,000 per month for wages. Use an algebraic expression to find the total cost the government estimates when the project takes 16 months to complete.
Answer:
$1,495,000
Step-by-step explanation:
From the above, we can infer that the first two costs for equipment and software are fixed cost, while wages is the cost that is influenced by the number of months (m).
The above implies that we would multiply number of months 'm' with $40,000.
= 840,000 + 15,000 + 40,000m
Where month (m) = 16
= 840,000 + 15,000 + 40,000(16)
= 840,000 + 15,000 + 640,000
= $1,495,000
Therefore, the total cost is $1,495,000
Which is the domain of y=arctan(x)
Answer:
D. All real numbers
Step-by-step explanation:
please someone help me
Answer:
56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
got it from person above me have nice day
If any one knows French math I need help
Answer:
I dont speak french but if you translate it for me Im pretty sure I could most definitely solve this :)
Step-by-step explanation:
If cot theta is greater then 0 or sin theta is smaller than 0 then terminal arm of an angle lies in quadrants
Answer:
4th quadrant
Step-by-step explanation:
Given that:
cot θ > 0 or sin θ < 0
[tex]cot \theta = \dfrac{1}{tan \theta}[/tex]
where;
[tex]tan \theta = \dfrac{sin \theta}{cos \theta}[/tex]
∴
If [tex]cot \theta = \dfrac{cos \theta}{sin \theta}>0[/tex] or sin θ < 0, then the terminal arm of the angle lies in the 4th quadrant
Mae Ling earns a weekly salary of $335 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?
Answer:
She made $664 during that work week.
Step-by-step explanation:
As Mae Ling earns $ 335 per week plus a commission of 7% with respect to the value of the sales she makes, and in the week she made sales for $ 4,700, to determine how much money she earned in the week the following calculation must be made:
335 + (4,700 x 7/100) = X
335 + (32,900 / 100) = X
335 + 329 = X
664 = X
Therefore, during that week Mae Ling earned $ 664.
Which equation has a graph that is parallel to the graph of 2x - y = -1?
Find the missing side length in the right triangle.
I’m pretty sure the answer is 6, please correct me if I am wrong.
Answer:
12.7
Step-by-step explanation:
help, please I would appreciate it.
Natasha is growing a plant for a science project. On monday she measured the plant and found it was 2 1/8 inches tall. On Wedensday she measured the plant and found it was 3 2/8 inches tall. Natasha told her teacher that her plant is 5 3/8 inches from monday to Wednesday
Answer:
Step-by-step explanation:
she is correct?
2 1/8+3 2/8= 5 3/8
What is the highest common factor of 4xy ,12x2y
Answer:
Step-by-step explanation:
12x^2y / 4xy = 3x
So 4xy is the highest common factor.
Answer:
4x2y
Step-by-step explanation:
4xy = 4x4y
12x ÷ 4 = 3x
2y ÷ 2 = 1y
Hope this helps !
Merry Christmas
Solve the exponential equation: 4x – 2 = 2x
Answer:
x=1
Step-by-step explanation:
Plz answer!! What is 35% of 75
It's 26.25.
Step-by-step explanation:
Hope this helps! :)
solve for w
30= w/5 + 17
simply as much as possible
Answer:
w = 65
Step-by-step explanation:
What number that when divided by 5 the quotient can be added to 17?
65 :D (wish it was 69 though)
Answer:
65
Step-by-step explanation:
A gymnast's score for a routine is calculated by finding the sum of a difficulty score and an execution score, minus any penalties. The execution score starts at 10 and is reduced by deductions. The gymnast's score can be represented by: 6.9 + (10 – 1.534) – 0.3. What is the gymnast's score?
Answer:
the gymnast score is 15.066
Step-by-step explanation:
The computation of the gymnast score is shown below:
Given that
6.9 + (10 - 1.534) - 0.3
Here the 10 denotes the execution score
6.9 denotes the difficulty score
0.3 denotes the penalties
Based on the above information, the gymnast score is
= 6.9 + (10 - 1.534) - 0.3
= 6.9 + 8.466 - 0.3
= 15.066
Hence, the gymnast score is 15.066
Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?
Answer:
The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ LAMP is a square
∵ The sides of the square are equal in lengths
∴ LA = AM = MP = PL
Let us find the length of one side of it
∵ L = (-2, -3) and A = (4, -1)
∴ x1 = -2 and y1 = -3
∴ x2 = 4 and y2 = -1
→ Substitute them in the rule of the distance above to find LA
∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]
∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]
→ Simplify the root
∴ LA = 2[tex]\sqrt{10}[/tex] units
∵ The perimeter of the square = 4 × side
∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]
∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]
∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Select all of the following that are quadratic equations.
1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7
Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0
Pic’n’mix sweets cost 56p per quarter. How much would 9 ounces cost? (There are 4 ounces in a quarter.)
Answer:
126p
Step-by-step explanation:
56 divided by 4 = 14p per ounce
14 x 9 = 126p per 9 oz.
Find the value of below algebriac expression for x=2,y=-1 and z=2 i. 4x2−3y2+5z24x2−3y2+5z2 ii. 3x3−2x(4yz+5x2)3x3−2x(4yz+5x2) iii. 1−4x(yz+3xy)1−4x(yz+3xy)
Answer:
i. 33
ii. 1488
iii. 65
Step-by-step explanation:
i. 4x² − 3y² + 5z²
Putting the values x=2, y=-1 and z=2
4(2)² − 3(-1)² + 5(2)²
4×4 − 3×(1)² + 5×(4)
(16) - (3×1) + (20)
16 - 3+ 20
36 - 3
33
ii. 3x³ − 2x(4yz+5x²)
Putting the values x=2, y=-1 and z=2
[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]
[3(8)³ − 2×2(-8 + 5×4)]
[3 ×512 - 2×2(-8 +20)]
[1536 - 4(12)]
[1536 - 48]
1488
iii. 1−4x(yz+3xy)
Putting the values x=2, y=-1 and z=2
[1 - 4 × 2((-1)×2 + 3×2×(-1))]
[1- 8(-2 + (-6))]
[1- 8 (-2 -6)]
[1 - 8(-8)]
[1 +64]
65
CAN SOMEBODY PLEASE HELP ME NOW I AM IN A RUSH!!!!!!!!!!!!!!!!!!!
Which system of linear equations appears to have a solution of (3, 0)?
On a coordinate plane, 2 lines intersect at (0, negative 2).
On a coordinate plane, 2 lines intersect at (0, 1).
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect at (0, 3).
Answer:
i’m pretty sure it is 3 but i could be wrong
Step-by-step explanation:
HELPPP ACELLUS ALGEBRA 2
Divide.
3x^3 + 2x^2 – 3x + 54
/x + 3
Answer:
The answer is 5
Step-by-step explanation:
What is the best estimate of the sum of the fractions?
31/4+17/3+8/18
Answer:
The answer is 14 1/2.
Step-by-step explanation:
The reason this is the answer is because once you add it all up u get 13 31/36 and estimated it is closer to thats than any other answer choice.
Answer:
I got c on edg 2021
Step-by-step explanation:
