Answer:
Step-by-step explanation:
4x^2-8x-5=0
The discriminant is the number under the √. In this case it's 144
Answer:
[tex]\Delta=144[/tex]
Step-by-step explanation:
For a quadratic in standard form, the discriminant is given by:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]4x^2-8x-5=0[/tex]
Hence, our a=4; b=-8; and c=-5.
Substituting into our formula, we acquire:
[tex]\Delta=(-8)^2-4(4)(-5)[/tex]
Evaluate:
[tex]\Delta=64+80[/tex]
Add:
[tex]\Delta=144[/tex]
Therefore, our discriminant is 144.
Notes:
Since our discriminant is a positive value, this tells us that our quadratic has two real roots.
A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
[tex]26M + 56D = 2278[/tex] ---- equation 1
[tex]M = 3D[/tex] ---- equation 2
A microscope costs S51 and a dissection kit costs S17
Step-by-step explanation:
Given
Represent microscope with M and Dissection kits with D
Cost:
[tex]M = 3D[/tex]
[tex]Total = 2278[/tex]
Required
Represent as an equation:
To do this, we represent the equation in terms of cost and quantity
In terms of cost, we have:
[tex]26M + 56D = 2278[/tex] ---- equation 1
and
[tex]M = 3D[/tex] ---- equation 2
Substitute 3D for M in equation 1
[tex]26*3D + 56D = 2278[/tex]
[tex]78D + 56D = 2278[/tex]
[tex]134D = 2278[/tex]
Divide both sides by 134
[tex]D = \frac{2278}{134}[/tex]
[tex]D = 17[/tex]
Substitute 17 for D in [tex]M = 3D[/tex]
[tex]M = 3 * 17[/tex]
[tex]M = 51[/tex]
Hence:
A microscope costs S51 and a dissection kit costs S17
work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)
Answer:
Y=-2x+9
Step-by-step explanation:
The first thing is to know the formula which is Y÷x
Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y
So it will be Y-7÷X-1 = the gradient which is - 2
So multiply both sides by X-1
So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign
Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers
What is x in 7-onethirdx =11
Answer:
[tex]\frac{-1}{3} x = 11-7\\\\\frac{-1}{3} x = 4\\\\-1x = 4*3\\-1x = 12\\\\x = -12[/tex]
help me please i have 2 more after this
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent
Can someone please help? I will give Brainliest.
Answer:
Ask your mom and she might tell you
Step-by-step explanation:
Answer:
ye
Step-by-step explanation:
The toy rocket is how much inches long?
You move right seven units. You end at 2,2. Where did you start?
Answer:
(2-7,2) = (-5,2)
Step-by-step explanation:
r+3y=6 in slope intercept
Answer:
Step-by-step explanation:
y = - [tex]\frac{1}{3}[/tex] r + 2
6th grade math
34/51 = x/3
solve pls
Please help. Questions in the picture.
Answer:
Step-by-step explanation:
(2 , 0) ; (0, 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]= \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}[/tex]
m = -1/2 ; (2 , 0)
Equation of the line : y - y1 = m(x - x1)
[tex]y - 0 = \frac{-1}{2}(x-2)\\\\ y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\ y = \frac{-1}{2}x+1[/tex]
slope = (-1/2)
y - intercept = 1
Roll a number cube. If the number cube comes up odd, you win the same number of points as the
number on the cube. If the number comes up even, you lose 4 points.
What is the expected number of points per roll?
-0.25
-0.5
0
Oo oo
0.25
0.5
Answer:
-0.5
Step-by-step explanation:
The height of a widescreen television varies directly with its width. A television that is 60 cm wide and 33.75 cm high. Write and solve a direct variation equation to find the height of a television screen that is 90 cm wide.
90 in + 60 in= 130 square inches? I guess you can do that
Have a good day
I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282
Answer:
8.6395761e+25
Step-by-step explanation:
no
Yesterday, grace drove 41.5
miles. she used
1.25 gallons of gasoline.
What is the unit rate for miles per gallon?
Answer:
33.2 mpg
Step-by-step explanation:
Mitchell swims several times per week in a lake near his home. Last summer, the average water temperature was 20 degrees Celsius. This summer, the average water temperature was 21 degrees Celsius. What was the percent of increase in the temperature?
Answer:
5% increase
Step-by-step explanation:
last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20
20° is to 100% as
1° is to ?%
cross multiply
?% *20 =1*100
divide by 20 both sides
?%= 100/20 = 5
What is the value of (-8)(45)(1/8)
7th grade math
Answer:
-45
Step-by-step explanation:
1/8=.125
-8x45=-360
-360x.125=-45
how do i find my sister's math question she just posted how do i find it
Answer:
You can find it on her profile, in the questions section.
Step-by-step explanation:
Tap her profile picture, which will take you to her profile.
Tap the questions bar, which should lead you to all questions she has posted.
Lastly, tap the question you want! It should show you the date or time it was posted.
A brainiest is this doggo's bone!
What is the order fractions least to greatest 3/5 1/4 1/2 2/5
Answer:
1/4, 2/5, 1/2, 3/5
Step-by-step explanation:
1/4=0.25
3/5=0.6
2/5=0.4
1/2=0.5
Answer:
[least] 1/4, 2/5 , 1/2, 3/5 [greatest]
Step-by-step explanation:
Well lets find out LCD (least common denominator) for 4,5 and 2
LCD-20
12/20 =used to be 3/5
5/20=used to be 1/4
10/20=used to be 1/2
8/20=used to be 2/5
Now that you know all of them and have common denominator lets order!!
[least] 1/4, 2/5 , 1/2, 3/5 [greatest]
Hope this helps :3
Determine the Domain & Range of the Function
3)
5)
Domain is
from?
Left to
Range is from?
Bottom to TM
Yes
<
Function?
Domain:
Domain:
Range:
Range:
Answer:
look dude or girl (just incase) I know the answer but since your parents and teachers want the best for you. You need to do it on your own.
Step-by-step explanation:
The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
y=x+3
y = -2x - 3
Answer:
y = -2x + 13
Step-by-step explanation:
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)
Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is
unknown.
13 meters
14 meters
200 meters
208 meters
Answer:
Your anwser is 14 hopw this helpss
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
the answer is 14 i know this because the person before me said the same thing.
10³ ÷ (25×4) = Please
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10³ ÷ (25×4)
1000 ÷ 100 = 10
The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was
Answer:
2°C
Step-by-step explanation:
Morning
-5°C
Noon (+3)
-2°C
4pm (+?)
0°C
Equation I used:
(-5) + (3) + x = 0
I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)
Determine whether the given equation has one solution, no solution, or infinitely many solutions.
2 - 3(x + 4) = 3(3 - x)
cannot be determined
one solution
no solution
infinitely many solutions
Answer:
one solution is your answer to the question
Answer:
Perform the indicated multiplication: 2 - 3x - 12 = 9 - 3x
Gather all the x terms on one side and all the constants on the other:
-3x + 3x = 9 + 12 - 2, or 0 = 19
since this is never true, 2 - 3x - 12 = 9 - 3x has no solution.
PLEASEEEE 10 points
Answer
7?
Step-by-step explanation:
A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make
Answer:
they made 3 batchs
Step-by-step explanation:
my bros if 1+1 was to = 3 would 2+2=5?
Answer:
No
Step-by-step explanation:
1+1=2 2+2=4
The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3).
Answer:true
Step-by-step explanation:
What si the answer of Y = 7x -3 for x
Help
Answer:
[tex]x=\frac{1}{7}y+\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]y=7x-3[/tex]
[tex]7x-3=y[/tex]
[tex]7x-3+3=y+3[/tex]
[tex]\frac{7x}{7}= \frac{y+3}{7}[/tex]
[tex]x=\frac{1}{4}y+\frac{3}{7}[/tex]
A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?
Answer:
12
Step-by-step explanation:
It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.