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.
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please i need help asap. if u can help that’d be great
Answer:
The answer is B. (2x-3)
Given the following function, find f(-4), f(0), and f(3).
f(x)=x2-4
f(-4)=
f(0)=
f(3)=
y=-x^2+2x+4 in standard form
Answer:
I think it already is in standard form.
Step-by-step explanation:
Standard form means that a quadratic function is in the form [tex]ax^2+bx+c=y[/tex].
In this case, a=-1, b=2, and c=4.
Write in simplest form. 1/6 divided by 6 divided by 6
Answer:
1/216
Step-by-step explanation:
I am pretty sure this is correct
you have to make the whole number 6 into a fraction 6/1
now it is 1/6 divided by 6/1 but you need to do KCF keep change flip
so now it is 1/6 times 1/6 and you get 1/36
then turn 6 into a fraction again
then KCF
Now it is 1/36 times 1/6 and you get 1/216
We have that for the Question "Write in simplest form. 1/6 divided by 6 divided by 6" it can be said that
The simplest form of the statement is
[tex]x=\frac{1}{216}[/tex]
From the question we are told
Write in simplest form. 1/6 divided by 6 divided by 6
Generally the equation for the statement is mathematically given as
[tex]x=\frac{\frac{\frac{1}{6}}{6}}{6} \\\\ Therefore \\\\ x=\frac{\frac{1}{36}}{6}\\\\[/tex]
[tex]x=\frac{1}{216}[/tex]
Therefore
The simplest form of the statement is
[tex]x=\frac{1}{216}[/tex]
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2y + 12 = -3x
solve pls i have more
Put -3/2, and -1 1/4 and -1.75 in order from least to greatest. You can use the number line to help.
Answer:
-1.75, -3/2, -1 1/4
Step-by-step explanation:
Let me know in comments if I need to explain.
Angle ABC is a right angle. The measure of angle ABD is 65 degrees. The measure of angle DBC is x degrees. What is the value of x?
Answer:
25 degrees
Step-by-step explanation:
Angle ABC is a right angle. This means it has a value of 90 degrees. When you add that to angle ABD, which has 65 degrees, you get 155 degrees. To find the measure of angle DBC you subtract 155 from 180. Your answer is 25 degrees.
Answer:
25 degrees
Step-by-step explanation:
Took the test
Calculate the density of a material that has a mass of 100 g and a volume of 25
cm 3 .
Item 1
Find 11/12+(−7/12). Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
I think not sure.
bill weighs 120 pounds and is gaining ten pounds each month.phil weighs 150 pounds and is gaining 4 pound each month. how many months,m, will it take for bill to weigh the same as phil?
Answer:5 months
Step-by-step explanation:150 +4 5 times would be 170 and 120+10 5 times would be 170 as well
what is the answer to 9/11 - 4/11
Answer:
the answer is approximately 0.4545
Step-by-step explanation:
I just searched it on google. i got you my guy
Answer: 5/11
The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).
So: 9/11 - 4/11 = 5/11
Life gym charges a one-time fee to join of $40 and $20 each month. Write an equation that models the total cost, y, for x months of being a member at this gym.
Answer:
40+20x=y
Step-by-step explanation:
What is the equation of a line that contains the points (2,-2) and (0, -2)? y = 0
x=-2
y = -2
x=0
Answer:
Y=-2
Step-by-step explanation:
which of the following is the quotient of the rational expressions shown below
Answer:
Step-by-step explanation:
A high school class wants to make atleast $1500 by hosting a dance. The class knows that hey will make $500 in refreshments.
If the class sells tickets for $5 what’s the inequality to determine the number of tickets the class would need to sell to make at least $1500.
And determine the number of ticket the class would need to sell to make $1500
Answer:
1000=5x
Step-by-step explanation:
200 tickets
200*5 is 1000. 1000+500 is 1500
Solve the following: What number is 60% of 48?
Answer:
28.8
Step-by-step explanation:
x = .60(48)
x = 28.8
Step-by-step explanation:
hope this helps, good Night xD
I need help? I don’t know what to dooooooo
Work out the value of
5^8 x 5^-2 /
5^4
Answer:
the answer is 25
Step-by-step explanation:
After simplifying the expression the final value of the expression is given by 25
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here : The expression 5⁸×5⁻² / 5⁴
We know from the law of exponents, for any non-zero term a,
[tex]a^m.a^n=a^{m+n}[/tex]
Thus simplifying the expression we get
5⁸×5⁻² / 5⁴
=5⁸⁻² /5⁴
=5⁶⁻⁴
=5²
=25
Hence, The value of the expression is 25
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1. Which is an equation of the line parallel to y =2x-7 and passes through
(-1, 3)?
Answer: The answer is y=2x+5
Answer:
(-3.5,-7)
Step-by-step explanation:
I don't know if this is right or not but in that equation you have to first find what x is. so you would change the equation to look like 2x+y= -7. then you would write 2x+y×0= -7. then the equation would be 2x= -7 and then you would divide 2x÷2=x and -7÷2= -3.5. so for x it would be (-3.5,Y) no we have to figure out y.
so you would keep the equation as 2x+y= -7. and then would write 2x×0+y= -7. and then you would have the equation y= -7. so y= -7.
so if you fill in the spaces you get (-3.5,-7)
sorry if this is incorrect
10(x-5)+5x-6 solve using distributive property and simplify
Answer:
=15x-56
Step-by-step explanation:
$37 dinner bill with a 15% tip
Answer:
$5.55
Step-by-step explanation:
calculator
Answer:
$42.55
Step-by-step explanation:
Mark me Brainliest plz
Can somebody help me plz with this math problem!!
Answer:
Step-by-step explanation:
.
Answer:
thxxxxxxxxxx for the points
Step-by-step explanation:
Can someone help me with this??
Answer:
yes
no
yes
yes
Answer:
nope
sorry lad
Step-by-step explanation:
Find the midpoint of the line with endpoints G(-4,4) and H(6,4)
Answer:
(1,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
d − 21.4 = 87 . Help! What is D?
Answer:
108.4
Step-by-step explanation:
Answer:
d=108.4
Step-by-step explanation:
Just add 21.4 on both sides
Which types of dilation are the given scale factors?
Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
-5/4
3/8
-1.2
.5
Answer:
- 5/4: Englargement
3/8: Reduction
- 1.2: Englargement
.5: Reduction
Step-by-step explanation:
Any number from 1 up is an enlargement. Any number from 0 - 0.9 is a reduction. The same goes for negatives. Any number from -1 down is an enlargement. Any number from 0 - -0.9 is a reduction.
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft
Answer:
[tex]n = 3[/tex]
[tex]XY = 39[/tex]
[tex]XZ = 39[/tex]
Step-by-step explanation:
Given
[tex]XY = 9n + 12[/tex]
[tex]XZ = 15n - 6[/tex]
[tex]<XYZ = <YZX[/tex]
Solving (a): n
To solve for n;
We make use of
[tex]XY = XZ[/tex]
Substitute values for XY and XZ
[tex]9n + 12 = 15n - 6[/tex]
[tex]9n - 15n = -12 - 6[/tex]
[tex]-6n = -18[/tex]
Divide through by -6
[tex]n = 3[/tex]
Solving (b) XY
[tex]XY = 9n + 12[/tex]
Substitute 3 for n
[tex]XY = 9 * 3 + 12[/tex]
[tex]XY = 27 + 12[/tex]
[tex]XY = 39[/tex]
Solving (c): XZ
[tex]XZ = XY[/tex]
[tex]XZ = 39[/tex]
The value of n is 3, the measure of leg XY is 39 ft, and the measure of XZ is 39 ft and this can be determined by using the properties of an isosceles triangle.
Given :
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ.Given that the angle XYZ and angle YZX are congruent to each other and triangle XYZ is an isosceles triangle.
From the above statement, it can be concluded that the side length of XY and the side length of XZ is also congruent to each other, that is:
XY = XZ
9n + 12 = 15n - 6
Simplify the above expression in order to determine the value of 'n'.
18 = 6n
n = 3 ft
The measure of leg XY is given by:
XY = 9(3) + 12 = 39 ft
The measure of leg XZ is given by:
XZ = 15(3) - 6 = 39 ft
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Find the value of x ?
Answer:
x=10
Step-by-step explanation:
6x+4+12x-4=18x=180
18x=180
x=10
..........................Its ...........................going ...................to ..............be the,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,second one
a What fractions can you find that are equivalent to 2/3?
Answer:
4/6
Step-by-step explanation:
The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9
Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1).
Answer:y=-1/4x+5/4
Step-by-step explanation:
Perpendicular means the slope has to be the negative reciprocal.
Since the slope is currently 4, the perpendicular slope is -1/4.
It also has to pass through the point 1,1 , so you just plug x in which will be
1*-1/4=-1/4. from 1 to -1/4, its 5/4, so that's your b in y = mx+b
The equation will then be y=-1/4x+5/4
