Answer:
What problem do you need help with.
simplify (2x − 5)(3x² + 7x− 8)
Answer:
6x³-x²-51x+40
Step-by-step explanation:
(2x − 5)(3x² + 7x− 8)
vv
6x³ +14x² -16x -15x² -35x +40
add like terms:
6x³ -x² -51x +40
and ice cream factory makes 240 quarts of ice cream in 2 hours. how many quarts could be made in 36 hours? What was that rate per day?
Answer:
Step-by-step explanation:
So first I divided 240 by 2 to get the hourly rate, which is 120. Then i multiplied 120 times 36 and got 4,320 quarts in 36 hours. The daily rate is 2,880, I got that by multiplying 120 by 24 because there are 24 hours in a day.
15. Mr. Taylor rides his moped down the country road in front of his house. His wife and their two sons ride bicycles in the opposite direction on the same road. If they leave at the same time and Mr. Taylor travels 24 mi/hr while Mrs. Taylor and the boys travel 8 mi/hr, how much time will pass before they are 24 mi apart?
Answer:
b67
Step-by-step explanation:
A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45°
90°
180°
270°
Answer:
C) 180
Step-by-step explanation:
I hope this helps
Good luck ;)
The difference between the intercepted arc is 180°
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.
A secant and a tangent meet at a 90° angle outside the circle. Hence:
90° = (1/2) * difference between the intercepted arc
Difference between the intercepted arc = 180°
The difference between the intercepted arc is 180°
Find out more on angle at: https://brainly.com/question/25770607
please help it’s attached please
Answer:
The 17th term number of the arithmetic sequence will be: -97
i.e.
[tex]a_{17}=-97[/tex]Step-by-step explanation:
Given the arithmetic sequence
[tex]a_n=-6n+5[/tex]
Put [tex]n=17[/tex] in the arithemetic sequence to get the 17th term number
[tex]a_{17}=-6\left(17\right)+5[/tex]
[tex]a_{17}=-6\cdot \:17+5[/tex]
[tex]a_{17}=-102+5[/tex]
[tex]a_{17}=-97[/tex]
Therefore, the 17th term number of the arithmetic sequence will be: -97
i.e.
[tex]a_{17}=-97[/tex]
Need help ASAP!!!!!!
Answer:
Step-by-step explanation:
1) (x+2)(x+2)=-x-2
[tex]x^{2}[/tex] +2x +2x +4+=-x-2
[tex]x^{2}[/tex]+4x+4+x+2
[tex]x^{2}[/tex]+5x+6
2) [tex]x^{2}[/tex] +4x +12 -16x +24=0
[tex]x^{2}[/tex] -12x+36=0
3) (x-4)(x+1)
x=4 and/or x=-1
4) (x-5)(x-6)
x=5 and/or x=6
5) (x-7)(x+2)
x=7 and/or x=-2
6) [tex]x^{2}[/tex]+3x-10=0
(x-5)(x+2)
x=5 and/or x=2
7) [tex]x^{2}[/tex]+x-20
(x-5)(x+4)
x=5 and/or x=-4
Please hurry I need this fast.
Answer:
Option 3
Step-by-step explanation:
The two triangles are proved congruent to each other so CPCTC proves that the angles are also congruent.
how many arrangements are there of the letters in the word: CHAPTERS
Answer: 40320 ways
Step-by-step explanation:
From the question, we are informed that we should the number of arrangements that are in the letters in the word: CHAPTERS.
First, we should note that there are 8 letters in the word CHAPTERS, therefore the number of ways that the word can be arranged is 8! which simply means:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 40320 ways
Keisha is a language arts and civics tutor. She offers tutoring sessions that are hours long. The equation 20h+25 represents her charge in dollars for a Language arts session that is h hours long. For civics, she charges the same one-time fee but a different hourly rate. She charges $124 for a 3-hour civics tutoring session. Write an equation in slope-intercept form that represents the total charge, , of a civics tutoring session that is h hours long, and find the reasonable range of that equation.
Answer:
y = 33h + 25
Step-by-step explanation:
Given that :
Equation for the amount charged for language art session :
20h + 25 ;
Slope intercept equation :
mx + c
c = intercept, m = hourly charge
Here, the one time fee = 25
For civics:
One time fee is the same;
Hence, c = 25
Amount charged for a 3 hours civic tutoring session = $124
y = mh + c
h = number of hours ; c = $25
Amount charged per hour (m) :
$(124 - 25)/ 3
= $99 /3
= $33
m = 33
Hence,
Total charge y ;
y = 33h + 25
HELP PLS MY MOM IS GONNA BE MADDDD
5/8 ÷ 1/4
5/8 • 4/1
5/2
Answer:
2.5 If I am right
Step-by-step explanation:
5/8 divided by 1/4= 2.5
I think
24 Which expression 18 a factor of 81.x2 – 25?
Answer:
[F]Step-by-step explanation:
9x-5 is a factor of [tex]81x^{2} -25[/tex]
Which notation best represents the phrase “at least 24”?
Answer:
less than or equal to 24
Step-by-step explanation:
this symbol ≤
please help i give brainliest
Answer:
9 cm
Step-by-step explanation:
Simplify (3m5)2. what's the awser
Answer:
9 m¹⁰
Step-by-step explanation:
(3m⁵)²
= (3)²(m⁵)²
= 9 (m⁽⁵⁾⁽²⁾)
= 9 m¹⁰
Can you please help with geometry??
Find the specific measure below.
Answer:
m∠Y = m∠Z = 34
Step-by-step explanation:
m∠Y + m∠Z = 68
68 ÷ 2 = 34
Check:
180 - 68 = 112
112 + 34 + 34 = 180
On a coordinate plane, a triangle with side length of 5 has points (negative 4, 1), (0, 4), (4, 1). A triangle with a side length of x has points (negative 2, negative 1), (0, negative 2), (2, negative 1).
The smaller triangle is the image of the bigger triangle after a sequence of transformations. What is the value of x?
x =
units
Answer:
X=2.5
Step-by-step explanation:
On Edge
Please help me with this
Answer:
x = 19 degrees
y = 84 degrees
Step-by-step explanation:
recall that for an isosceles triangle (which is pictured), the base angles have the same value.
In our case, we can see that the base angles are 48 deg and (3x-9) deg
if they are equal, we can equate them like this:
48 = 3x-9 (add 9 to each side)
48 + 9 = 3x
57 = 3x (divide both sides by 3)
x = 57/3
x = 19 degrees (answer)
also recall that the sum of the interior angles of a triangle add up to 180 deg, hence
48 deg + 48 deg + y deg = 180 deg
2(48) + y = 180
96 + y = 180
y = 180 - 96
y = 84 deg
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+163x+148
Answer:
x=5.09 seconds (times at max)
Step-by-step explanation:
The time at which the height of the rocket is maximum is 5.09 seconds and the maximum height is 563.14 feet.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A rocket is launched from a tower.
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
The quadratic equation is given below.
[tex]\rm y=-16x^2+163x+148[/tex]
Differentiate the equation with respect to x, then we have
[tex]\rm y' = \dfrac{dy}{dx}=\dfrac{d}{dx}(-16x^2+163x+148)\\\\y' =-32x + 163[/tex]
For y' = 0, then we have
32x = 163
x = 5.09
Then the maximum value of the rocket will be
[tex]\rm y=-16(5.09)^2+163(5.09)+148\\\\y = - 414.53 + 829.67 + 148\\\\y = 563.14\ ft[/tex]
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
#SPJ2
ASAP PLEASE!!!
Find the supplementary angle of an angle measuring 183. If the supplementary angle does not exist, explain why. (1 point)
The supplementary angle is 177,
The given angle does not have a supplementary angle because supplementary angles add to the sum of 360'. The supplementary angle would need
to be 177 , and the supplement for it cannot be greater than 90° based on the definition of supplementary angles.
The supplementary angle is 107
The given angle does not have a supplementary angle because supplementary angles add to the sum of 180°. The supplementary angle would then
need to be -3, and negative angles are not allowed based on the definition of supplementary angles.
Answer:
"The given angle does not have a supplementary angle because supplementary angles add to the sum of 180°. The supplementary angle would then need to be -3, and negative angles are not allowed based on the definition of supplementary angles."
Step-by-step explanation:
A supplementary angle completes an angle less than 180 degrees by filling in what's left. Ex. 170 and 10 are supplementary angles because they add up to a straight line, 180.
Since 183 is greater than 180, no angle (a negative angle isn't an angle) can complete it.
How do I solve this?
-6x-1+5x^2 = 8x^2
Thanks
Answer:
[tex]\displaystyle x=\frac{-3+\sqrt{6}}{3}\text{ and } x=\frac{-3-\sqrt{6}}{3}[/tex]
Or, by approximating:
[tex]x\approx-0.1835\text{ or } x\approx -1.8165[/tex]
Step-by-step explanation:
Let’s convert this to standard form. We have:
[tex]-6x-1+5x^2=8x^2[/tex]
Subtract 5x² from both sides:
[tex]-6x-1=3x^2[/tex]
And add 6x and 1 to both sides:
[tex]0=3x^2+6x+1[/tex]
This is not factorable. So, we will need to use the quadratic formula.
The quadratic formula for a quadratic in standard form is given by:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}[/tex]
In this case, a=3; b=6, and c=1.
Substitute appropriately:
[tex]\displaystyle x=\frac{-6\pm\sqrt{6^2-4(3)(1)}}{2(3)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{-6\pm\sqrt{24}}{6}[/tex]
We can simplify the square root:
[tex]\sqrt{24}=\sqrt{4}\cdot\sqrt{6}=2\sqrt{6}[/tex]
Hence:
[tex]\displaystyle x=\frac{-6\pm2\sqrt{4}}{6}[/tex]
Simplify:
[tex]\displaystyle x=\frac{-3\pm\sqrt{6}}{3}[/tex]
Hence, we will have two solutions:
[tex]\displaystyle x=\frac{-3+\sqrt{6}}{3}\text{ and } x=\frac{-3-\sqrt{6}}{3}[/tex]
Approximating them, we can see that our solutions are approximately:
[tex]x\approx-0.1835\text{ or } x\approx -1.8165[/tex]
The left and right page numbers of an open book are two consecutive integers whose sum is 331 Find these page numbers.
Answer:
165 and 166
Step-by-step explanation:
You can divide 331 by 2 to get 165.5. You then round down for one answer, 165, and round up for the other, 166. This evens out the rounding, and to check your answer you can add 165 and 166, which is 331.
Triangle ABC has vertices A( -3, 5) B ( 6, 9) and C ( -4, - 12) in the coordinate plane. The triangle is reflected over the x- axis and then rotated 90˚ about the origin to form triangle A''B''C''. What are the coordinates of triangle A''B''C''.
Answer:
The coordinates of triangle A"B"C" will become
A( 5,-3 ) B( 9,6 ) C( -12 ,-4 )
Step-by-step explanation:
Original vertices of triangle ABC are ;
A ( -3, 5 ) B( 6, 9 ) C ( -4, -12 )
after reflection over x-axis
A( -3,-5 ) B( 6, -9 ) C( -4,12 )
when the triangle is rotated
x coordinates becomes -y while y coordinates becomes x
The coordinates of triangle A"B"C" will become
A( 5,-3 ) B( 9,6 ) C( -12 ,-4 )
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I need help plsssssss
Answer:
C. y= 7x
Step-by-step explanation:
Hello, I don’t understand this equation and the steps to do it so could you help me out?
Circumference= C=(pie)d
Solve for d in the equation.
Answer:
c is circumference which is equal to 3.14 multiplied by d
Step-by-step explanation:
You bought your friend's bike and owe $60.00 to your friend to finish paying for it. You do chores and earn $4.00 per day (7 days per week). If you give your friend all your money how much money would you have after 3 weeks of working?
Answer:
$24.
Step-by-step explanation:
I multiplied 4 by 7 to get 28. Then I multiplied $28 by three weeks and got $84. Since $84 is more than I owe I subtracted $84 by $60 and got $24. I would give my friend $60 and keep $24. Hope this helps! Have a great day!
Ava, Natalie, Esraa, and Savannah are all running a race. Each girl finishes at a different time. Ava finishes the race in 12.89 seconds. Natalie finishes the race in 12 34 seconds. Esraa finishes the race in 12 2/10 seconds. Savannah finishes the race in 12.988 seconds. Which girl finished in 2nd place?
Natalie
Step-by-step explanation:
Esraa finishes in 12.2 secons making her first.
natalie finishes in 12.34 seconds making her second.
Ava finishes in 12.89 making her third.
and Savannah finishes in 12.988 seconds making her last.
when multiplying numbers in scientific notation, what do you do to the leading numbers?
Answer:
Multiply them together.
Step-by-step explanation:
Multiply them together. If they multiply to a number greater than or equal to 10, then divide the product by 10 and add 1 to the exponent of the 10.
The length of a rectangular park is 20 feet longer than the width of the park. If the length of the park is 36 feet, what is the width of the park?
A.
4 feet
B.
16 feet
C.
42 feet
D.
56 feet
Answer: B. 16 feet
Step-by-step explanation:
We know that the length is 20 feet longer that the width. If the length of the park is 36 feet, the width is 20 feet less.
36 - 20 = 16 feet
So, the width of the park is 16 feet.
hope this helps!
A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a ride from the airport is $7. The driver collected a total of $294 for the day. Let x represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair (x,y) that represents the solution in this situation.
Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
[tex] x + y = 27 [/tex] => equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
[tex] 14x + 7y = 294 [/tex] => equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 × [tex] x + y = 27 [/tex]
1 × [tex] 14x + 7y = 294 [/tex]
Thus:
[tex] 7x + 7y = 189 [/tex] => equation 3
[tex] 14x + 7y = 294 [/tex] => equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1
[tex] x + y = 27 [/tex]
[tex] 15 + y = 27 [/tex]
Subtract both sides by 15
[tex] y = 27 - 15 [/tex]
[tex] y = 12 [/tex]
The ordered pair would be (15, 12)