Step-by-step explanation:
We need to write the function that have two real number zeros by calculating the discriminant i.e. [tex]b^2-4ac[/tex].
We know that,
If D>0 the roots are real and unequal
If D= 0 roots are real and equal
If D< 0 roots are imaginary or not real and unequal
Function (1)
[tex]f(x)=x^2 + 6x + 8\\\\D=6^2-4\times 1\times 8\\\\D=4[/tex]
D>0 the roots are real and unequal
Function (2)
[tex]g(x)=x^2 + 4x + 8\\\\D=4^2-4\times 1\times 8\\\\D=-16[/tex]
D<0 the roots are real and unequal
Function (3)
[tex]h(x)=x^2 -12x+32\\\\D=(-12)^2-4\times 1\times 32\\\\D=16[/tex]
D>0 the roots are real and unequal
Function (4)
[tex]k(x)=x^2 +4x-1\\\\D=(4)^2-4\times 1\times (-1)\\\\D=20[/tex]
D>0 the roots are real and unequal
Function (5)
[tex]p(x)=5x^2 +5x+4\\\\D=(5)^2-4\times 5\times 4\\\\D=-55[/tex]
D<0 the roots are real and unequal
Function (6)
[tex]t(x)=x^2 -2x-15\\\\D=(-2)^2-4\times 1\times (-15)\\\\D=64[/tex]
D>0 the roots are real and unequal
(1),(3),(4) and (6) have two real number zeroes.
Answer:
1,3,4,6
Step-by-step explanation:
EDGE
Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams? y = a * (.5) ^ (1/7)
Answer:
[tex]t \approx 50.4\,min[/tex]
Step-by-step explanation:
The time constant of the element X is:
[tex]\tau = \frac{13\,min}{\ln 2}[/tex]
[tex]\tau = 18.755\,min[/tex]
The decay function has the following form:
[tex]\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }[/tex]
[tex]t = -\tau \cdot \ln \frac{m}{m_{o}}[/tex]
[tex]t = -(13\,min)\cdot \ln \left(\frac{11\,g}{530\,g} \right)[/tex]
[tex]t \approx 50.4\,min[/tex]
Answer:
Its actually 72.7
Step-by-step explanation:
please help on this!
Answer:
A. [tex]11 + 3\frac{5}{8}[/tex]
Step-by-step explanation:
Subtracting a positive number is like adding a negative number, as in you move to the left on a number line. A negative number is the opposite of the positive, so you move to the right instead, which is equivalent to adding.
Make sure there are parenthesis around the negative number, otherwise, you might be seeing one minus sign as two!
Hope this helps!
what is the measure of one interior angle of the regular 32 gon?
Answer:
180°
Step-by-step explanation:
A polygon that has 32 sides is called a triacontadigon or a triacontakaidigon.
The angles of a triacontadigon add up to 5760°.
5760÷32=180°
Increase £180 by 10%
Answer:
£ 198
Step-by-step explanation:
10% of 180 = 18
180 + 18 = 198
Answer:
£198Step-by-step explanation:
[tex]180 \times \frac{10}{100} \\ = 18 [/tex]
[tex]180 + 18 = 198[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
WILL GIVE BRAINLIEST AND 5 STARS AND THANKS PLSS SOLVE NOWW Copy and complete.
Answer:
(a) Increased by %
(b) Increased by %
(c) Decreased by %
(d) Decreased by %
(e) Increased by %
(f) Decreased by %
Answer:
A is 100%
B is 50%
C is 33.333%
D is 50%
E is 200%
F is 66.666
Step-by-step explanation:
How does the circumference of circle E compare to the circumference of circle C? Complete the explanation.
Answer:
1/8
Step-by-step explanation:
It's 1/8 because you're halving the radius 3 times. and 1^-3 is 1/8
Answer is in the file attached below. But basically its 1/4 on both sides.
Hope this helps!
Need help!!! Answer asap!!
Answer:
Step-by-step explanation:
You must assume that N is the center of the circle.
NTP is a right triangle.
NM is the radius
NT is also a radius
The area of the circle is 25pi
25 pi = pi r^2
r^2 = 25
r = 5
The right angle triangle can be solved by
PT^2 + NT^2 = (r + 4)^2
PT^2 + 25 = (5+4)^2
PT^2 + 25 = 81
PT^2 = 56
PT = sqrt(56)
PT = 7.48
Find the volume of the prism.
The volume is
cubic centimeters.
So the right answer is 21/16 cubic centimetres
Look at the attached picture
Hope it will help you
good luck on your assignment
Simplify
6х + 5у — 2z — 4x — бу + 5z
Answer:
2x - y + 3z
Step-by-step explanation:
You have to combine like terms
Hope this helps
Fabian bought 223 feet of wood to build
wooden boxes. He estimates it will take 2
feet per box. How many boxes will Fabian be
able to build?
Answer:
111 boxes
Step-by-step explanation:
He bought 223 feet of wood
Each box will take 2 feet
To determine the total number of box he'll make from 223,
1 box = 2 feet of wood
X box = 223 feet of wood
X = (223 × 1) / 2
X = 111.5 box approximately 112 boxes
But technically, since its 111.5, he'll be able to make 111 boxes completely with 0.5 feet of wood left
What is the exponential form of the following equation? logb3 = -8
assuming b is the underscript of log, the formula is log _b_3=-8.
the formula for log is usually log_b_x=n, and to convert it to exponential would be the same as b^n=x
just fill in the numbers, b is still b, and -8 will be the in place of n, equal to 3.
b^-8=3
−5y+8x=−18
5y+2x=58
Solve the system of equations.
Answer:
1: −5y+8x=−18
Slope = 3.200/2.000 = 1.600
x-intercept = -18/8 = -9/4 = -2.25000
y-intercept = 18/5 = 3.60000
2: Slope = -0.800/2.000 = -0.400
x-intercept = 58/2 = 29
y-intercept = 58/5 = 11.60000
Step-by-step explanation:
1: Step 1 :
Equation of a Straight Line
1.1 Solve -5y+8x+18 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -5y+8x+18 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000
y-intercept = 18/5 = 3.60000
Calculate the X-Intercept :
When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000
x-intercept = -18/8 = -9/4 = -2.25000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
2: Same thing
help help help help help help help
Answer: 7x-56
Step-by-step explanation:
Multiply (x-8) by 7
Answer:
7x-56
Step-by-step explanation:
If a quadratic equation has no real roots, then its graph intersects the x-axis at how many points?
Answer:
It does not intersect the x axis
Step-by-step explanation:
If there are no real roots the quadratic does not intersect the x axis
If there is one root it touches the x axis
2 real roots it crosses twice
A chemical compound has a freezing point of -5°C and a boiling point of 97°C. What is the difference between the freezing point and the boiling point of the chemical compound?
Answer: The answer is
102
Step-by-step explanation:
pls help me out i need it
Answer:
answer is number 3.
Step-by-step explanation:
If x varies directly as y, and x = 200 when y = 11, find y when x = 500. Please algebraic solution :) thanks!
Answer:
x ⠀⠀200⠀⠀ ⠀500
y⠀⠀⠀ 11⠀⠀⠀⠀⠀a
As x directly varies with y
200 × a = 500 × 11
a = 5/2 × 11 = 27.5
Answer:
y = 27.5
Step-by-step explanation:
We know that directly proportional equations usually come in the format of
y = k × x where 'k' is the constant. In this problem we are presented with a directly proportional questions asking us to find y when x= 500 considering that y varies directly with x and x = 200 when y = 11. So let's substitute in the values
→ y = k × x
⇒ Substitute in the first set of values which is x = 200 and y = 11
→ 11 = k × 200
⇒ Divide both sides by 200 to isolate 'k'
→ 0.055 = k
Now we know that the constant is 0.055 we can substitute the second set of values in,
→ y = 0.055 × x
⇒ Substitute in the second value which is x = 500
→ y = 0.055 × 500
⇒ Simplify
→ y = 27.5
If y varies directly with x and x = 200 and y = 11, the value of y when x = 500 is 27.5
Help plz
1/2 (3)(4 + 2) =
The Answer Is 9
Step-by-step explanation:
0.5(3)(6)
1.5(6)
9
Answer:
9
Step-by-step explanation:
I chose 9 because first you have to add 4+2 because it's in parenthesis and the other with parenthesis has no other numbers so 4+2 first then 4+2 is 6 then you multiply 6 by the 3 in the parenthesis because it is in the parenthesis then divide by 2 because 1/2 is basically dividing by 2
Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.
If the graph of f(x) is:
(i) first translated 2 units in the positive x direction and 3 units in the positive y
direction
(ii) then, stretched vertically by a factor of 2
(iii) and then reflected across the x-axis
What is the resultant function in standard form and its graph?
Answer:
f(x) = -4x² + 19x - 18
Step-by-step explanation:
[tex]f(x) = 2x^2 - 1.5x - 5[/tex]
i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)
[tex]y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6[/tex]
f(x) = 2x² - 9.5x + 6
If it is then translated 3 units in the positive y, we add 3 to the input function to get:
[tex]y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9[/tex]
ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:
[tex]y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18[/tex]
iii) reflected across the x-axis
we multiply the parent function by –1, to get a reflection about the x-axis.
[tex]y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18[/tex]
67 2 3 % of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answer:
About 2/3 of the animals at the shelter are dogs
Step-by-step explanation:
Let's first transform the mixed number to the corresponding improper fraction.
67 2/3 is equivalent to (3*67 + 2)/3 = 203/3
we are asked to find a fraction equivalent to 203/3%. To do this, we have to divide the fraction by 10, as follows:
203/3% = (203/3)*(1/100) = 203/300 ≈ 2/3
Find the value of x.
F) 6m
G) 7.5m
H) 15m
I) 21m
Answer:
x = 6 m
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here A = 60, h = 8, a = 9 and b = x , thus
[tex]\frac{1}{2}[/tex] × 8 × (9 + x) = 60, that is
4(9 + x) = 60 ( divide both sides by 4 )
9 + x = 15 ( subtract 9 from both sides )
x = 6 m
Given the general form: ax + by = c How can we rewrite this general for the equation of a line, so that it is in slope intercept form? (a, b, and c are real numbers other than 0.) Hint: Substitute in values for a,b,c if you are confused) YOUR FINAL ANSWER SHOULD HAVE a,b,c in it. *
Answer:
[tex]y = \frac{c}{b} - \frac{ax}{b}[/tex] or [tex]y = \frac{c-ax}{b}[/tex]
Step-by-step explanation:
Slope intercept form is y = mx + b, so you rewrite it to equal y.
ax + by = c
by = c - ax
y = (c - ax) / b
[tex]y = \frac{c}{b} - \frac{ax}{b}[/tex]
In the image, all the lines overlap. This proves that all the equations are equal to each other.
idk this pls help don’t understand...
130 degrees because x would be 60. 60-10 would be 50 which would make both angles add up to 180.
Answer: The measure of angle TRV is 130 degrees.
Step-by-step explanation:
(x - 10) + (2x +10) =180
3x = 180
x= 60
2(60) + 10 = 130
8(–5 + v) = 96
Solve 2-step equations
Answer:
v = 17
Step-by-step explanation:
8(-5 + v) = 96
Distributive property
-40 + 8v = 96
8v = 136
v = 17
THIS PERSON NEED HELPPPPPP! BRAINLIEST IF U ANSWER NICELY AND A WHOLE 28 POINTSS!
Answer:
Step-by-step explanation:
Step 6: as the line on the line graph moves from left to right, the line falls.
step 7: (idk)
Answer:
See answer for Step 6 below.
Step 7: the slope is "-1/2" (negative 1/2)
Step-by-step explanation:
Step 6: A negative slope means that as the value of the coordinate "x" increases,the value of the coordinate "y" decreases, and the rate of change for points on the line is therefore negative. The line goes "DOWN" as you read the graph from left to right.
In order to calculate the slope, we can use the triangle defined by the points (0, 5), (4, 3) and (0, 3) as shown in the attached image:
Where the "run" is from 0 to 4 , that is: 4 - 0 = 4
and the rise is negative (from 5 to 3: that is 3 - 5 = -2
Therefore, the rise over the run becomes: -2 / 4 = -1/2
A piece of land is in the shape of a sector. Its area is 900 sq ft, while its arc length is 30 ft. What is the measure of the angle between the two radii of the sector?
Answer:
C= 2 radians.
Step-by-step explanation
Length of arc = r C where r = the radius and C is the angle in radians.
Area of the sector = 1/2 r^2 C
So we have:
30 = rC and
900 = 1/2 r^2 C
From the first equation we have r = 30/C so substituting for r:
900 = 1/2 (30/C)^2 * C
900 = 0.50 (900/C^2) * C
900 = 450/C
C= 2 radians.
PLEASE ANSWER THIS QUESTION ILL MARK YOU AS THE BRAINLIEST
Answer:
answer3
beacuse to find the x-intercept, substitute in 0 for y and solve for x .
if the manufacturer makes 1500 beanbag chairs per day, how many of those chairs would they expect to be understuffed?
Answer:
15 will be understuffed
Step-by-step explanation:
Answer:75 would be under stuffed
Step-by-step explanation:
pls help im having such a bad day already and i get yelled at 24/7
Which of the following is equivalent to the expression
(3x - 1)(2x + 4)?
A.
B.
C.
D.
Answer:
sis you dont have anything for abcd their blank. can you fix it so i can give you the correct answer
Step-by-step explanation:
Answer:
6 x ^2 + 10 x − 4
Step-by-step explanation:
Expand The Polynomial Using The Foil Method.
6 x ^2 + 10 x − 4
50 POINTS PLZ. HELP PLZ HELP PLZ
Answer:
no 6^2 + 8^2 ≠ 12^2 so this is not a right triangle
Step-by-step explanation:
The Pythagorean theorem tells you if you have a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 8^2 = 12^2
36+64 = 144
100 = 144
This is not true so this is not a right triangle