Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ6
Complete the work to solve for y:
2
5
(
1
2
y + 5 ) −
4
5
=
1
2
y − 1 +
1
10
y
1.Distributive property:
1
5
y + 2 −
4
5
=
1
2
y − 1 +
1
10
y
2.Combine like terms:
1
5
y +
6
5
=
3
5
y − 1
3.Subtraction property of equality:
6
5
=
2
5
y − 1
Addition property of equality:
11
5
=
2
5
y
4.Division property of equality:
Answer:
11/2
Step-by-step explanation:
me took it on Ed with this question
Answer:
11/2
Step-by-step explanation:
i just got it correct
Given f(x) = -5(2x-7 )- 19, what is the
value of f(-2)?
Answer:
X=1.8
Step-by-step explanation:
f(X)=-2
-5(2x-7)-19=-2
-10x+35-19+2=0
-10x=-18
X=-18÷(-10)
X=1.8
3, Find the total price of a a video game that costs $60.00 with a 7% tax-
Enter the number only. Round to the nearest cent.
In ASTU, u = 280 inches, 2T=63° and ZU=29º. Find the length of t, to the nearest
10th of an inch.
Answer:
514.6
Step-by-step explanation:
Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?
Answer:
C. Brian and Damien both answered 2 more questions correctly than Chris did.
Step-by-step explanation:
A. Brian and Damien both answered 2 fewer questions correctly than Chris did.
B. Brian and Damien both answered 4 more questions correctly than Chris did.
C. Brian and Damien both answered 2 more questions correctly than Chris did.
D. Brian and Damien both answered 4 fewer questions correctly than Chris did.
Let
B = number of questions Brian got right
C = number of questions Chris got right
D = number of questions Damien got right
The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.
B = 14 + (1/4) * C
Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.
D = (5/4) C - 2
If Brian and Damien have the same score,
14 + (1/4) * C = (5/4) C - 2
14 + 1/4C = 5/4C - 2
14 + 2 = 5/4C - 1/4C
16 = 5C-C/4
16 = 4/4C
C = 16
B = 14 + (1/4) * C
= 14 + 1/4*16
= 14 + 4
= 18
D = (5/4) C - 2
= 5/4*16 - 2
= 5*4 - 2
= 20 - 2
= 18
Write the exponential equation for the given situation. A tennis tournament starts with 128 participants. Each round, half of the participants gets eliminated from the tournament
Answer:
y= 128(1-.5)^t
Step-by-step explanation:
A math test had 26 questions. The questions were either true/false or multiple choice. The true/false questions were worth 2 points each and the multiple choice were worth 5 points each. If the test is worth 100 points, how many of each type of question are included on the test?
Answer:
True/ false type 10 questions
Multiple choice type 16 questions
Step-by-step explanation:
Using the given formation we can make equations to solve for the number of questions of either type is to be included
let the no of true/false be =x
let the number of multiple choice to be included be = y
x + y=26 .............(1)
now making the equation of points
2x + 5y = 100 .........(2)
substitute y = 26-x from first equation in the second equation
2x + 5(26 - x ) = 100
2x - 5x + 130 = 100
3x=30
x=10
y =26-10=16
what is two plus two
need help pease its due at 11;59pm today explian
Answer:
65
Step-by-step explanation:
you add all the numbers inside.
80+35= 115
You have to make sure it equals to 180 to find angle 1.
Therefore, 180-115=65.
which shows graph (-3,5) and (4,-3) plotted correctly?
Answer: D
Hope it helps
Answer:
the forth one (d)
Step-by-step explanation:
Consider the equation −3+(−9.25)+m=0 .
Let's solve your equation step-by-step.
−3−9.25+m=0
Step 1: Simplify both sides of the equation.
−3−9.25+m=0
−3+−9.25+m=0
(m)+(−3+−9.25)=0(Combine Like Terms)
m+−12.25=0
m−12.25=0
Step 2: Add 12.25 to both sides.
m−12.25+12.25=0+12.25
m=12.25
Answer:
m=12.25
The population of a county is growing at a rate of 9% per year, compounded continuously. If the county currently has 14,934 people, how many will there be in this county in 10 years? Round to the nearest person.
(5.31 x 103) – (2.8 x 103)
Answer:
258.53
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
I believe it is 258.53 ,,,,
What is the end behavior of the graph of q?
im not good at this...
im sorry if im wrong but i think it may be B
Answers are 1.–70 2.–12 3.–74 4.–36
Answer:
3. -74
Step-by-step explanation:
[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]
52-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than seven times the length of the first piece. Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.
Answer:
First piece = a = 5 inches
Second piece = b = 10 inches
Third piece = c = 37 inches
Step-by-step explanation:
Let us represent:
First piece = a
Second piece = b
Third piece = c
52-inch piece of steel is cut into three pieces.
a + b + c = 52 inches
The second piece is twice as long as the first piece
= b = 2a
The third piece is two inches more than seven times the length of the first piece.
= c = 2 + 7(a)
Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.
a + b + c = 52 inches
Substitute 2a for b
2 + 7a for c
a + 2a + 2 + 7a = 52
Collect like terms
10a = 52 - 2
10a = 50
a = 50/10
a = 5 inches.
b = 2a
b = (2 × 5)
b = 10 inches
c = 2 + 7a
= 2 + 7(5)
= 2 + 35
= 37 inches
PLS HELP
Frank received a $4.00 tip from a customer who had a $25.00 bill. Which decimal represents the fraction of the bill Frank received as a tip? 0.04 0.16 0.25 0.625
Answer:
0.16
Step-by-step explanation:
is 800 cm greater than 8 cm
Answer:
100
Step-by-step explanation:
Solve the following using the quadratic formula:
[tex]x^{2} - 9x - 45 = 0[/tex]
Answer:
AAAAAAAAAHHHHHHHHHHHHHH
Step-by-step explanation: I sorry but I can't answer this and still want to comment. See you this afternoon.
Answer:
x^2 - 9x-45=0
Step-by-step explanation:
x^2 - 9x-45=0
I NEED HELP PLEASE ILL GIVE YOU BRAINLIEST T-T
Answer:
1 true
2 false
3 true
4 false
5 true
6 true
Step-by-step explanation:
PLZ HELP ASAP!!!!
In a recent survey, 62 students out of 100 choose corn as their favorite lunch item. If Washington has 3,800 students, how many students at
Washington would say corn is their favorite?
can you help my sis out agan sorry
Answer:
That would be .51000
Answer:
[tex]5.1[/tex]×[tex]10^{-4}[/tex]
[tex]6.3[/tex]×[tex]10^{-3}[/tex]
Step-by-step explanation:
If you move the decimal 4 times to the right, since it's a negative, you'll get the number 0.00051.
If you move the decimal 3 times to the right, since it's also a negative, you'll get the number of 0.0063.
Hope this helps!
The temperature of a freezer started at 18°C. After cooling for a few hours, the freezer had a temperature of
-12°C. What is the difference between the new, colder temperature and the original temperature?
Answer:
30 C
Step-by-step explanation:
How to find difference: t1 - t2
Subsitute:
18 - (-12)
Double negative signs make a positive.
18 + 12
30
My question is, on Sunday, 77,098 fans attended a New York Jets game. The same day, 3,397 more fans attended a New York Giants game than attended the Jets game. Altogether, how many fans attended the games? Round each number to the nearest thousand to find an estimate of how many fans attended the games.
Answer:
Total number of fan = 80,495
Step-by-step explanation:
Given:
Number of fans attended = 77,098
Additional number of fans attended = 3,397
Find:
Total number of fan
Computation:
Total number of fan = Number of fans attended + Additional number of fans attended
Total number of fan = 77,098 + 3,397
Total number of fan = 80,495
What is the value of x in the equation x*3 = 27 512 ?
when j= -8 and k= 7, the value of the expression is
Answer: 539
Step-by-step explanation: PLATO and Edmentum
Expression will have a value of 116 for the specified values of j and k.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression -4j + 12k
where given, j = -8
and k = 7
Substituting the values in the given expression
=> -4 * -8 + 12 *7
=> 32 + 84
=> 116
Therefore, the value of expression for the given values of j and k will be 116.
Learn more about expression here:
https://brainly.com/question/23246712
#SPJ2
Complete question:
when j= -8 and k= 7, the value of the expression -4j + 12k is_____.
What does negative 3 over 5 > −2 indicate about the positions of negative 3 over 5 and −2 on the number line?
So,
Ignore the negatives and just make them positives.
For now.
Then, you look at 3/5 and say... it's 3 ticks towards the number five,
meaning it's between 4 and 5. After you do that whats happens is you place back the negatives and you have -3/5 and -2.
-2 < 5 and -2 < 4
Meaning it goes more to the left.
I could be wrong but If I'm right please mark brainliest
Which of the following is an IRRATIONAL number? (select ONE)
a
1.323232...
b
32/3
c
1.7284927172646362...
d
1.5
Answer:
Number C would be the irrational number
To simplify -36 ÷ (2)(3)^ 2 + 5, we first _____.
A.evaluate the exponent
B.divide -36 by 6
C.multiply the parenthesis
D.divide -36 by 2
Answer:
12
Step-by-step explanation:
Answer: evaluate the exponent
Step-by-step explanation: -36/2.3^2+5 there is no parenthesis so
p
e
m
d
a
s
so the next one is exponents
you may think that (2) (3) is parenthesis but when a number is like that (x)(x) just mean to multiply the values
If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?
Answer:
AAA
Step-by-step explanation:
GET ECKED
Answer:
13
Step-by-step explanation:
This is my first time posting, so sorry if this isn't that clear.
Anyways:
We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.
We can find the x-intercept by plugging in 0 as y. So:
x/4+0/12=1
x/4=1
x=4
a=4 (since a is equal to the x-intercept.)
We can find the y intercept by plugging in x as 0:
0/4+y/12=1
y/12=1
y=12
b=12
We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.
So, 12+4-3=13.
(In case you didn't know how I got y=-3x+12. This is how:
x/4+y/12=1
12(x/4+y/12)=1(12)
3x+y=12
y=-3x+12 )