Step-by-step explanation:
For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.
=> (-z)² - 4(z - 5)(5) = 0
=> z² - 20(z - 5) = 0
=> z² - 20z + 100 = 0
=> (z - 10)² = 0
Therefore z = 10.
Which number represents the BASE?
42=16
A. 4
B. 2
C. 16
Answer:
2
Step-by-step explanation:
The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
Answer:
8 inches = 120 miles
Step-by-step explanation:
If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.
120 / 30 = 4
4 x 2 = 8
8 inches = 120 miles
To check;
30 x 4 = 120
8 / 2 = 4
Hope this helps!!!
Answer:
The answer is 8in.
Step-by-step explanation:
Calculated 120/30
Solving systems of equation using elimination
1)2x+2y = 8
x – 2y = 4
2)x+y=8
x-y=4
3)2x+2y=4
x-y=4
4)2x+2y=4
x-y=4
5)x+2y=8
x+3y=4
I need the answer for each problem. Please help is due in 30 minutes!
Answer:
2x+2y = 8
x – 2y = 4
3x=12
x=12/3=4
x=4
2x+2y=8
2(4) + 2y = 8
8+2y = 8
2y=8-8
2y=0
y=0/2=0
2(4)+2(0)=8
8+0=8
x+y=8
x-y=4
2x=12
x=12/2=6
6+y=8
y=8-6=2
6+2=8
2x+2y=4
x-y=4
2x+2y=4
2(x-y=4)
2x+2y=4
2x-2y=8
4x=12
x=12/4=3
2(3)+2y=4
6+2y=4
2y=4-6
2y=-2
y=-2/2=-1
2(3)+2(-1)=4
6+-2=4
x+2y=8
-(x+3y=4)
x+2y=8
-x-3y=-4
-1y=4
y=4/-1=-4
x+2(-4)=8
x+-8=8
x=8+8=16
Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.
Answer:
when y=65, x=20
Step-by-step explanation:
We are given:
y varies directly as x
and y=26, when x=8
We need to find x, when y = 65
y varies directly as x can be written as:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality.
Finding k, when y=26 and x=8
[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]
We get the value of k = 3.25
Now, we need to find value of x, when y=65 and k=3.25
[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]
So, when y=65, x=20
I need help please and thank you
if you roll a six sided die ten times, whats P(x>3)
Answer:
1 Binomcdf (10,1/6,3)
Step-by-step explanation:
John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?
Answer:
Yes
Step-by-step explanation:
3(3x+1) = 9x+3
2x+3+7x = 9x+3
A butcher has 3 1 3 pounds of ground beef that will be priced at $1.35 per pound. He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $ .
Answer:
$0.56
Step-by-step explanation:
Cost of 3 1/3 pounds of beef at $1.35 per pound
= 3 1/3 × 1.35
= 10/3 × 1.35
= $4.5
He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $
= $4.5 / 8
= $0.5625
Approximately $0.56 to the nearest cent
PLEASE PLEASE PLEASE HELP
Answer:
The answer is 21
Step-by-step explanation:
cu = -3( 5, -12)
= -15 + 36
= 21
The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.
Answer:
l=25, w=10
Step-by-step explanation:
2(25)+2(10)=70
25*10=250
25-5=20
10+5=15
20*15=300
Answer:
width = 10
lenghth = 25
Step-by-step explanation:
Factor as the product of two binomials
36+12x+x^2
Answer:(x+6) (x+6)
(x+6)^2
Step-by-step explanation:
36+12x+x^2
x^2 +12x +36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
(x+6)^2
Khan said so:
(6+x) (6-x)
What is the image point of (−2,5) after a translation left 5 units and up 3 units?
Answer:
(-7,8)
Step-by-step explanation:
The given point (x,y)=(-2,5)
Assuming that right and up directions are positive, so left and down directions are negative.
So, after a translation left 5 units and up 3 units, the image point = (x-5, y+3)
=(-2-5, 5+3)= (-7,8)
Hence, the image point is (-7,8).
7 lbs of dog food cost $6.30. What is the unit price? 20 points-
Answer: 9 cents
Step-by-step explanation: 6.30 divided by 7 is 0.9
Use a number line to order the numbers from least to greatest.
HELLLPPPP!!!!!
Find the slope of the line through (3, -4) and (5, 4). Be sure to simplify completely.
Answer: 4
Step-by-step explanation: (3,-4) (5,4)
4-(-4)= 8
5-3= 2
Divide both numerator and denominator by 2
The slope is 4
Argyle sells computers. He keeps one
eighth of his sales as a commission.
How much must he sell to earn $500?
Answer:
Note: I'm assuming that he keeps 1/8 of the money spent for himself.
If this is what the question was asking, then the answer would be:
Argyle must sell $4,000 worth of computers.
Step-by-step explanation:
First, we write an equation.
1/8n = $500
Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.
Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:
1/8n * 8 = $500 * 8
= n = $4000
Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.
what is the slope of the line y=2x+5?
Answer:
2
Step-by-step explanation:
Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?
Answer:
B . 980 just trust me
Step-by-step explanation:
You set up proportions
an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?
Answer:
y = -⁴/₅x + 14Step-by-step explanation:
Changing to slope-intercept form:
-10x + 8y = 3 {add 10x to both sides}
8y = 10x + 3 {divide both sides by 8}
y = ⁵/₄x + ³/₈
Two lines are perpendicular if the product of their slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
y = ⁵/₄x + ³/₈ ⇒ m₁=⁵/₄
⁵/₄×m₂ = -1 ⇒ m₂ = -⁴/₅
The line y=-⁴/₅x+b passes through point (15, 2) so the equation:
2 = -⁴/₅×15 + b must be true
2 = -12 + b
b = 14
Therefore equation in slope-intercept form:
y = -⁴/₅x + 14
The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.
Find the value of x in the isosceles triangle 40inches x 25 inches
Answer:
l
Step-by-step explanation:
Acela Express, the fastest train between Washington D.C and Boston covers a distance of 455 miles in 7 hours. How many miles will the train travel in 4 hours?
Answer:
260 miles
Step-by-step explanation:
Given that:
Distance covered in 7 hours = 455 miles
Number of miles train will travel in 4 hours
Average travel speed per hour :
Distance traveled / time taken
455 miles / 7 hours
= 65 miles per hour
Number of miles traveled in 4 hours :
Average Speed per hour * time
(65 * 4) = 260 miles
HELLPPP
2. If the temperature is given by the equation y= 5x + 50, how would you describe what is
happening to the temperature?
Answer:
Step-by-step explanation:
The temperature starts at 50 and increases because the slope is positive.
A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
Answer:
There are two possible solutions for [tex]g(x)[/tex]:
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Step-by-step explanation:
From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:
[tex]g(x) = f(x) +5[/tex] (1)
If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:
[tex]g(x) = (x+3)^{2}-10+5[/tex]
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Answer:
There are two possible solutions
Step-by-step explanation:
2) translation: 1 unit right and 2 units down
Which choices are equivalent to the fraction below? Check all that apply. 16\20
Answer:
To write 16.20 as a fraction you have to write 16.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 16.20 = 16.20/1 = 162/10 And finally we have:
Step-by-step explanation:
hope it work for you.
Given ABCD what is the value of y?
Answer:
x=7
y=5
Step-by-step explanation:
quadrilaterals have 360 degrees, and their opposite angles are equal
15x+5=16x-2
7=x
(plug back in to find angle)
15(7)+5=110
that angle, plus opposite angle, equals 110.
360-220=140
140/2=70
now we know the value of other unsolved angle
70=12y+10
60=12y
5=y
If f(x) = 2x, which of the following shows the graph of f(x) = 2(x) + 2?
Answer: the first graph
Step-by-step explanation:
The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The correct option is A.
What is the y-intercept of a function?The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At the y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
Given f(x)=2, therefore, the graph will have a y-intercept as 0.
But when the value of f(x) = 2(x) + 2, then the graph of the function will have the y-intercept at 2.
Hence, the correct option is A.
Learn more about Y-intercept:
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