Given:
[tex]y=2x^2-8x-10[/tex]
To find:
The interval(s) on which the given function is positive.
Solution:
We have,
[tex]y=2x^2-8x-10[/tex]
[tex]y=2(x^2-4x-5)[/tex]
[tex]y=2(x^2-5x+x-5)[/tex]
[tex]y=2(x(x-5)+1(x-5))[/tex]
[tex]y=2(x+1)(x-5)[/tex]
For zeroes, [tex]y=0[/tex]
[tex]2(x+1)(x-5)=0[/tex]
[tex]x=-1,x=5[/tex]
-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].
Interval Selected Value [tex]y=2(x+1)(x-5)[/tex] Sign
[tex](-\infty,-1)[/tex] -2 [tex]y=2(-2+1)(-2-5)=14[/tex] +
[tex](-1,5)[/tex] 0 [tex]y=2(0+1)(0-5)=-10[/tex] -
[tex](5,\infty)[/tex] 6 [tex]y=2(6+1)(6-5)=14[/tex] +
So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].
We can say that the function is positive for interval x < -1 and x > 5.
Therefore, the correct option is B.
Very Short Answer Questions
3. The total surface area of a cube is 1,944 sq cm. Find its side.
35 points and will be mark as brainlist
[tex]\huge\bf\underline{Answer}[/tex]
Given :- Total surface area of a cube = 1944cm²To Find :- Side of the cubeFormula :-[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]
Where, TSA = Total surface area of a cubea = Side of a cubeSolution :-Let the Side of a cube be 'x'
By substituting values according to the formula,[tex]\sf{:⇒6(x) ^{2} } = 1944cm^{2} [/tex]
[tex]\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }[/tex]
[tex]\sf{:⇒ {x}^{2} = 324}[/tex]
[tex]\sf{:⇒x = \sqrt{324} }[/tex]
[tex]\sf{:⇒x = 18cm}[/tex]
Hence, The Side of a cube is 18cmDoes this graph show a function? Explain how you know. URGENT ANSWERR NOW PLEASE PLEASE!! Godbless
Answer:
D
Step-by-step explanation:
A function never has the same points twice. That's why it failed the vertical line test.
Can Someone help with this
Answer:
x y
-2 5
-1 . 1
3 . 1
-1 -2
Step-by-step explanation:
in 1 just put in
x y
-2 5
-1 . 1
3 . 1
-1 -2
Which expression is equivalent to the measure of <4 in the image below?
M<1+m<2
M<1+m<3
M<2+m<6
M<5+m<6
Answer: a
Step-by-step explanation:
flips a fair coin until a tail first appears, and if the number of tosses equals m, then Tom gets a payoff for 2 m pounds. Calculate the expected value of his payoff.
Answer: the expected value of Tom's payoff is m²
Step-by-step explanation:
Given the data in the question,
E[x] = mp
where p = 1/2
Now Tom gets payoff pounds until a tail first appears = 2m pounds
so
E[x] = m × 1/2 × 2m
E[x] = m²
Therefore the expected value of Tom's payoff is m²
Alisa programs her robot to make two moves on a line.
Positive numbers move the robot forward and negative
numbers move the robot backwards. First, it moves
117 cm. Then, it moves - 241 cm. what is the position of the robot relative to its start position
ANSWER ASAP PLSSS
Solve 2,341 ÷ 68 = ________
32 r 42
34 r 29
34 r 42
32 r 29
Answer:
it's third one
Step-by-step explanation:
make it braintliest please
Theresa's computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family's phones, tablets, and cloud storage? Type your answer in scientific notation. Her family's phones, tablets and cloud storage equal 9.6 gigabytes.
Answer:
Hope this helps! ( if not then sorry)
In scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.
To calculate the additional storage in bits that Theresa's computer has compared to her family's phones, tablets, and cloud storage, we first need to convert the 1 terabyte to bits and the 9.6 gigabytes to bits.
1 terabyte = 1,000,000,000,000 bytes
1 byte = 8 bits
So, 1 terabyte = 8 × 1,000,000,000,000 bits
= 8,000,000,000,000 bits
9.6 gigabytes = 9.6 × 1,000,000,000 bytes
= 9,600,000,000 bytes
9.6 gigabytes = 8 × 9,600,000,000 bits
= 76,800,000,000 bits
Now, we can calculate the difference in bits:
Difference = Theresa's computer storage - Family's phones, tablets, and cloud storage
Difference = 8,000,000,000,000 bits - 76,800,000,000 bits
Difference = 7,923,200,000,000 bits
Difference = [tex]7.9232 \times 10^{12}[/tex] bits.
Thus, in scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.
Learn more about the Scientific Notation here :
https://brainly.com/question/20533245
#SPJ2
a Ford f 150 truck is consider a half ton truck because that is how much it can haul . how many pounds can the truck haul
Answer:
1,000 pounds
Step-by-step explanation:
One ton is 2,000 pounds so half of one is a 1,000.
7. Triangle FIP was dilated by a scale factor of centered at the origin to
create triangle F'I'P', which has coordinates F' (1,-),1'(2,-1),P'(1,2).
Write the coordinates of the vertices of triangle FIP in the spaces
provided below.
FC
16
IC
17
PC
18
Answer:
AB is parallel to A'B'.
DO,1/2 (1/2x, 1/2y) =
The distance from A' to the origin is half the distance from A to the origin.
Step-by-step explanation:
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A.
left
B.
down
C.
up
D.
right
Answer:
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A. left
B. down
C. up
✓D. right
Right is the right answer.
Answer:
Down
Step-by-step explanation:
I took the test and got it right
Can someone please help me
8. Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his students are athletes. Of the part, the whole, and the percent, which information is still unknown to Ms. Morgan? Find this unknown value. a. b. Of the part, the whole, and the percent, which information is still unknown to Mr. Gregory? Find this unknown value.
Answer:
A=30%
B=27
Step-by-step explanation:
Of the 100 students that were surveyed 36 students say
they were on their phone less than one hour a day. Of the
55 females, 40 use their phone more than one hour a
day. How many males say they use their phone less than
one hour a day?
HELP
Answer:
15 females say they use their phone less than an hour a day
36 - 15 = 21 males that use their phone less than an hour a day
(equation above is the total number of students that use their phone less than an hour a day, with the 15 females that do being subtracted from it. that will leave the number of males that use their phone less than an hour a day, which is your answer.)
A triangle has one angle that measures 42°. Which of the following could be the measures of the other two angles?(1 point) 54° and 84° 42° and 42° 90° and 58° 102° and 216°
Answer:
54° and 84°
Step-by-step explanation:
i just took test
Express the following numbers as a ratio between an integer and a natural number:
1 and 2/5, 0.3, -3 and 1/4, -27, 0
9514 1404 393
Answer:
7/53/10-13/4-27/10/1Step-by-step explanation:
The mixed numbers can be expressed as improper fractions in the usual way. The integer portion can be expressed as a multiple of the fraction denominator divided by itself.
Integers can be expressed as a ratio with 1 as the denominator.
1 2/5 = (1×5/5) +2/5 = (5+2)/5 = 7/5
0.3 = three tenths = 3/10
-3 1/4 = -(3×4/4 +1/4) = -(12+1)/4 = -13/4
-27 = -27/1
0 = 0/1
CAN ANYONE HELP ME PLEASE!!!!!!
Which of the following points is in the solution set of y < x²- 4x + 3?
A. (-3,0)
B. ( 1, 0)
C. (2,-1)
If 5 people need 1,250 meters of cloth to
make tracksuits, how
many
meters of
cloth will 12 people need?
Answer:
3000m
Step-by-step explanation:
5 people need cloth=1250 m
1 people need cloth=1250/5
12 people need cloth=1250/5*12
=3000 m
pls mark me as brainliest its nice
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
b/4 +2 = -1
what is b?
Cindy types 180 words in 2 minutes
Enter the number of words Cindy types in 5 minutes at this rate.
A park is rectangular with a length of 2/3 miles. If the area of the park is 3/9 square miles, what is its width? Input your answer as a fraction.
Answer:
6/9 miles
Step-by-step explanation:
z = -3x +5y
Minimum value of z?
Answer:
minimum value of z is 0
Step-by-step explanation:
if x and y both equal zero, then the value of z is zero, which is your answer.
Help me plssssssssss
Answer:
The answers are as follows:
5. [tex]12+3 = 3+12[/tex]
7. [tex](6+4)+8 = 6+(4+8)[/tex]
9. [tex](10*5)*7 = 10*(5*7)[/tex]
Step-by-step explanation:
5. 12 and 3
Commutative property of addition states that the order of two numbers in addition doesn't matter; the result will be the same. If a and b are two numbers then the property will be:
a+b = b+a
For the given question, the commutative property will be:
[tex]12+3 = 3+12[/tex]
Associative property deals with three numbers or variables. It states that when 3 numbers are being added or multiplied their order doesn't affect the result.
It can be stated as:
(a+b)+c = a+(b+c)
7. 6,4 and 8
The associative property will be:
[tex](6+4)+8 = 6+(4+8)[/tex]
9. 10,5 and 7
[tex](10*5)*7 = 10*(5*7)[/tex]
Hence,
The answers are as follows:
5. [tex]12+3 = 3+12[/tex]
7. [tex](6+4)+8 = 6+(4+8)[/tex]
9. [tex](10*5)*7 = 10*(5*7)[/tex]
Which of the following polynomials have degree 5?
Answer:
lll
Step-by-step explanation:
*dab
it feels good to know the answer
Lou buys 20 pounds of apples for $40. How many pounds can she buy for one dollar?
Answer:
She can buy 2 pounds per dollar.
Step-by-step explanation:
#7 There are 24.5 ounces of uncooked rice in a bulk container. A customer is removing rice from the container at a rate of 3.25 ounces per second. How many ounces of uncooked rice are in the container after 4 seconds? *
A. 11.5 ounces
B. 21.25 ounces
C. 27.75 ounces
D.37.5 ounces
Answer:
(A) 11.5 ounces
Step-by-step explanation:
Multiply 3.25 by 4
3.25 x 4 = 13
Subtract 13 from 24.5
24.5 - 13 = 11.5
= 11.5 ounces
X= What does ×= 88, 89 or 90
Last year, there sugar factories in a town
produced 24809565
bags,
187385 76 bags
and 95 64 568 bags of sugar what were the total number of bags
produced?
Answer: 53,112,709 bags
Step-by-step explanation:
Three sugar factories produced 24,809,565 , 18,738,576 and 9,564,568 bags of sugar respectively.
The total number of sugar bags produced in the country is their sum which is:
= 24,809,565 + 18,738,576 + 9,564,568
= 53,112,709 bags
10 POINTS
Please help directions are at the top of the picture, please leave just a lil explanation also I’ll mark brainliest. :)
Answer:
C, F, D
Step-by-step explanation:
For each side of each triangle, think of the side as the hypotenuse of a right triangle. Then use the Pythagorean theorem to find the length of the hypotenuse, which is the side of the triangle.
Left problem:
From point C to point A, go 2 left and 7 up.
[tex] AC = \sqrt{2^2 + 7^2} = 7.3 [/tex]
From point A to point B, go 5 right and 1 down.
[tex] AB = \sqrt{5^2 + 1^2} = 5.1 [/tex]
From point B to point C, go 6 down and 3 left.
[tex] BC = \sqrt{6^2 + 3^2} = 6.7 [/tex]
Perimeter = 7.3 + 5.1 + 6.7 = 19.1
Do the same for the other triangles.
Middle problem:
From point F to point D, go 2 left and 7 up.
[tex] FD = \sqrt{2^2 + 7^2} = 7.3 [/tex]
From point D to point E, go 7 right and 2 down.
[tex] DE = \sqrt{7^2 + 2^2} = 7.3 [/tex]
From point E to point F, go 5 down and 5 left.
[tex] EF = \sqrt{5^2 + 5^2} = 7.1 [/tex]
Perimeter = 7.3 + 7.3 + 7.1 = 21.7
Right problem:
From point L to point J, go 7 left and 1 up.
[tex] LJ = \sqrt{7^2 + 1^2} = 7.1 [/tex]
From point J to point K, go 4 up and 5 right.
[tex] JK = \sqrt{4^2 + 5^2} = 6.4 [/tex]
From point K to point L, go 2 right and 5 down.
[tex] KL = \sqrt{2^2 + 5^2} = 5.4 [/tex]
Perimeter = 7.1 + 6.4 + 5.4 = 18.9
I NEED HELP!!!!! :)))))
Answer:
in very much deed you do need help :)))))))
Answer:
Area of the triangle is :-----[tex] \huge\boxed{\frac{1}{2} \times base \times height} \\ [/tex]
[tex] \frac{1}{2} \times 10 \times x = 50 \\ x = \frac{50 \times 2}{10} \\ \boxed{x = 10}[/tex]
10 units is the right answer.