Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...
Step-by-step explanation:
The solution of the equation:
x = -0.28 to the nearest tenth.
x = 4.53 to the nearest tenth.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
A quadratic equation,
4x²-27x-5 = -10x
Simplifying,
4x²-27x-5 + 10x = 0
4x²-17x-5 = 0
So,
x = {-(-17) ± √(289 + 80)}/8
x = (17 ± √369) / 8
When we take - sign,
x = - 0.276
x = -0.28 to the nearest tenth.
When we take + sign,
x = 4.526
x = 4.53 to the nearest tenth.
Therefore, the values are x = -0.28 and x = 4.53.
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Divide 32 in the ratio 5 : 3.
Answer:20,12
Step-by-step explanation:
32×5/8=20
32×3/8=12
if 7 less than 5 times a number is two more than twice that number, what is the result when that number is added to 8
Answer:
11
Step-by-step explanation:
[tex]5x - 7 = 2x + 2\\3x = 9\\x = 3[/tex]
3 + 8 = 11
The class needs to collect 20.5 pounds of cans for recycling over the next 5 months. Students plan to collect 3.75 pounds each month.
Use the drop-down menus to complete the statements below about the can collection.
Answer:
There will still be 1.75 pounds of trash left
Step-by-step explanation:
I need help with this math ASAP due today
Answer:
C. 1/16 choice c because this is what the calculator gave me
PLEASE DONT SAY YOU DONT KNOW JUST FOR POINTS
Answer:
D
Step-by-step explanation:
Mariah worked for 3 hours and earned a total of $28.50. Which equation can be used to find r the amount of money Mariah earns per hour.
Answer:
28.50/3=r
Step-by-step explanation:
Answer:
28.50 divided by 3.
Step-by-step explanation:
This is because if 28.50 is the total and we know she worked for 3 hours that means that the answer to our equation: 9.5 means that each hour she worked for she was given 9.50 or 9.5 dollars. We can check this by doing 9.5 x 3 which gives us 28.5 or 28.50. :)
HELP PLEASEE ASPA 30 points
Answer:
[tex]x = 75[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
Factor the polynomial by its greatest common monomial factor.
44k5 – 66k4 +77k3
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
B
Step-by-step explanation:
April, May and June have 90 sweets between them. May has three-quarters of the number of sweets that June has.
April has two-thirds of the number of sweets that May has. How many sweets does June have?
Answer:
40
Step-by-step explanation:
as shown, several parallelograms are formed in an expandable gate. The angles of the parallelograms change as the gate is expanded and compressed. Find m
Answer:
m = 145
Step-by-step explanation:
All angles inside a parallelogram = 360
∠ABC = ∠ADC
35 = ∠ADC
360 = 2(∠ABC) + 2( ∠DAB)
360 = 70 + 2( ∠DAB)
290 = 2( ∠DAB)
145 = ∠DAB
The adjacent angle of the parallelogram are supplementary angles. If the angle ∠ABC is 35°. Then the angle ∠DAB will be 145°.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.
In the parallelogram ABCD, the angle ∠ABC is 35°.
We know that adjacent angle of the parallelogram are supplementary angles.
∠ABC + ∠DAB = 180°
35° + ∠DAB = 180°
∠DAB = 180° – 35°
∠DAB = 145°
More about the parallelogram link is given below.
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i really need help please!!!
Answer:
5x-4y=0
Step-by-step explanation:
[tex]\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0[/tex]
(4+6)2 PEMDAS
Please answer this ASAP
Answer:
20
Step-by-step explanation:
(4 + 6)2 | Parenthesis first
(10) × 2 | Distribute
20
What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15
Answer:
d. 8 over 15 = 136 over 15 this is the right answer okay
What is the area of this figure?
Enter your answer in the box.
mm²
Composite figure composed of a a right triangle with a base of 3 mm and a height of 4 mm, and two rectangles, one with side lengths of 3mm and 4mm, the other with side lengths of 1 mm and 6 mm.
Answer:
18 mm²
Step-by-step explanation:
Firstly, I do not think the person above me has the correct answer.
Okay, so I am not very good at explaining things but I will try. When finding the area of a composite figure, you add Area A + Area B.
So for this equation, figure one has a length of 4mm and a width of 3mm. Remember when we are finding the area of a shape, we multiply Length times Width. So, figure one has an area of twelve. The Same applies to figure two. Figure two has a length of 1mm and a width of 6mm, we multiply one by six and get six. Now we add the area of the twelve and six and we get 18mm²
I understand that my explaining skills suck, so I will show it in an easier way
Area A = 4mm x 3mm
Area A = 12mm
Area B = 1mm x 6mm
Area B = 6mm
Area A + Area B = Total Area
12mm + 6mm = 18mm²
So, 18mm² will be your answer.
I hope this helps.
Sorry if it isn't helpful or correct.
The total area of the composed figure with right triangle and two rectangles is 24 square millimeters.
What is Area of Rectangle?The area of Rectangle is length times of width.
Composite figure has a right triangle and two rectangles.
right triangle with a base of 3 mm and a height of 4 mm
Area of triangle = 1/2×4×3
=6 square millimeter
Area of first rectangle with side lengths of 3mm and 4mm
Area of first rectangle = 3 × 4
= 12 square millimeter
Area of second rectangle with side lengths of 1mm and 6 mm
Area of second rectangle =1×6
=6 square millimeter
Total area is 6+12+6 which 24 square millimeters.
Hence, the total area of the composed figure with right triangle and two rectangles is 24 square millimeters.
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PLEASE HELPP ASAP
PLEASE HELPP ASAP
Answer:
The answer is b
Step-by-step explanation:
hope it helped bye :)
Randy hung a total of 900 feet of Christmas lights on the exterior of his house this past holiday season. If 1 foot equals 30.48 centimeters, how many centimeters of Christmas lights did Randy hang?
If Jose can make 3 baskets in 20 seconds, what is the unit rate?
Marlin obtains a 20/6 balloon mortgage to finance $305,500 at 5.75%. How much principal and interest will he have already paid when his
balloon payment is due?
$188,267.86
$152,285.77
$154,430.64
$249,256.48
Answer:
$154,430.64
Step-by-step explanation:
The first step is for us to determine the monthly payment as follows:
Mortgage amount can be found as the present value of all monthly payments, hence, using the formula below we can determine monthly payment as follows:
mortgage amount=monthly payment*(1-(1+r)^-n/r
mortgage amount=$305,500
monthly payment is unknown
r=monthly interest rate=5.75%/12=0.4791667%
n=number of monthly payments in 20years=20*12=240
305,500=monthly payment*(1-(1+0.4791667% )^-240/0.4791667%
305,500=monthly payment*(1-0.31750756 )/0.0047916670
305,500=monthly payment*0.68249244 /0.0047916670
monthly payment=305,500*0.0047916670 /0.68249244
monthly payment=$2,144.87
Number of months that payments have been made=6*12=72
total paid=$2,144.87*72
total paid for 6 years=$ 154,430.64
ANSWER THIS plzzzzzzzzzzzzzzz will mark brainliest
Answer:
second
Step-by-step explanation:
What is the price of a $25 meal with a 20% tip?
Answer: 30:00$
Step-by-step explanation:
Because 20% is 5 dollars i think 25+5 is 30 If i'm wrong please Correct.
Find x.
I had been stuck on this one for awhile
Answer:
34 degrees
Step-by-step explanation:
ok so 180-111=69
then the opposite angle from 37 is also 37
the the missing angle from the left triangle has to be 103
so then the angle below x is 77
and so we know x = 34 degrees
I hope that made sense.
it says I have 4 cups of white paint for 3 cups of red paint? what is the equivalent for 1 cup of red paint in white paint?
Answer:
1 cup of red paint = 4/3 or 1 1/3 cups of white paint
pweeze help
i will give brainliest :(
Answer:
Sorry I was unable to answer the other questions but I can answer for the coordinates.
Point M: (2,3)
Point N: (6,3)
Point K: (6,6)
Point Q: (2,-3)
Point R: (6,-3)
Point S: (6,-6)
What is 5+2 x 1-3+8 and 2+5 x 1
Answer:
Step-by-step explanation:
1) 5+2*1-3+8 = 5+2-3+8 = 7-3+8 = 4+8 = 12
2) 2+5*1 = 2+5 = 7
Answer:
a) 5+2 x 1-3+8
5+2-3+8
=12
b) 2+5 x 1
2+5
=7
Step-by-step explanation:
Round 3.46 to the nearest integer
Answer: 3.5 integers can be in decimals too. and any number counts as an integer except for 0
Answer:
3
Step-by-step explanation:
Find the number in the whole number place 3 and look one place to the right for the rounding digit on the right side of the decimal point 4. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
A hot air balloon is descending at a rate of 287 feet per minute.
Find the total change in elevation of the balloon in 4 minutes.
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptA hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.
A student jogged at a constant rate of 7 miles per hour for
1 1/3
hour. The function d = 7t can be used to find the
distance in miles the student jogged during t, the time in hours.
What is the range of the function for this situation?
A - 0_< t _< 1/3
B - {0,7/3}
C - 0_< d _< 7/3
D - {0,1/3}
Answer:C
Step-by-step explanation:
i did it and it’s c the one with 0<_d<_ 7/3
Answer:
C. 0< d < 7/3
Step-by-step explanation:
Five families have signed up to bring a pie. If a single serving of pie is 1/6 of the entire pie, how many people will 5 pies serve?
Answer:
30
Step-by-step explanation:
That means that there are 6 pie pieces in each pie so just multiply by 5
another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6
On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?
x = −6
x = −4
y = −6
y = −4
Answer:
The equation of parallel line passes through the point (−4,−6 ) is:
y = -6
Please also check the attached graph.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven that on a coordinate plane passes through (-8, 4) and (8, 4).
As the value of y remains the same for any value of x.
i.e. y = 4 for any value of x.
Thus, the given line is a horizontal line.
We know that the slope of a horizontal line is zero.
Also it is clear that at x = 0, the value of y = 4. In other words, we can observe that the y-intercept b = 4.
so substitutig m = 0 and b = 4 in the slope-intercept form
y = mx + b
y = 0x + 4
y = 4
Therefore, the equation of line passing through the point (-8, 4) and (8, 4) is:
y = 4
Now, we also know that the slope of parallel lines is equal.
Thus, the slope of the line parallel to the line y = 4 is also 0.
As the parallel line passes through (−4,−6 ).
so substituting m = 0 and (-4, -6) in the slope-intercept form of line equation to determine the y-intercept b
y = mx + b
(-6) = 0(-4) + b
-6 = 0 + b
switching the sides
0 + b = -6
b = -6
Thus, the slope-intercept b = -6
now substituting m = 0 and b = -6 in the slope-intercept form of line equation
y = mx + b
y = 0(x) + -6
y = 0 - 6
y = -6
Therefore, the equation of parallel line passes through the point (−4,−6 ) is:
y = -6
Please also check the attached graph.
Answer:
1351
Step-by-step explanation: