Answer:
Step-by-step explanation:
value of discriminant:
[tex]5^{2} - 4 (2)(-4)\\=25+32\\=57\\[/tex]
As the value of discriminant is larger than zero, so there are 2 distinct solutions.
2 solutions also mean there are 2 x-intercepts.
The Tucker family had a meal catered for wedding anniversary dinner. Th cost of the dinner was $489 they had a coupon for 10% off and there was a 5% sales tax what was the total cost including the discount and sales tax nearest cent
Answer:415.65
Step-by-step explanation:
Answer:
415.65
Step-by-step explanation:
trust me
The Massachusetts Body of Liberties __________.Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)?
Answer:
Step-by-step explanation:
The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.
Use the diagram of trusses for a railroad bridge.
AM I CORRECT DO I NEED TO ADD AN ANSWER OR TAKE AWAY ONE
You should take off E and add C and D because perpenidcular bisector means not only does it form a right angle to the line, it also bisects it, or cuts it into 2 equal portions. Also, If you look at triangles BED and BEF, they are congruent as both have right angles and equal sides BE, and DE = EF. So, BD = BF.
E is wrong because you don't know if line AC is perpendicular to DA, nor do you know if it's parallel to DF. And you don't know if DA is parallel to BE either. You ONLY know that BE is the perpendicular bisector of DF.
find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7
Answer:
TSA=115.5cm²
Step-by-step explanation:
T.S.A=3πr²
Given r=3.5cm
eq.
3×22/7×3.5×3.5
=3×22×0.5×3.5
=115.5cm²
Answer:
[tex]19.25cm^{2} \\[/tex]
Step-by-step explanation:
Formula
[tex]\frac{\pi r^{2} }{2}[/tex]
Solve
[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=
[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPMEEEEEEEEEEEEEEEEE!!
Use the information to answer the following question.
the table shows the relationship between the number of hours, h, jorge has been hiking
and the total distance, d,he has traveled in kilometers.
The graph shows the distance sara hiked over the same period of time.
who hikes faster?Explain.
Answer:
Step-by-step explanation:
Sara is faster she got a longer distance to Jorge
What is the average rate of change for a
babysitter that earns $9 for 1hr and $36
for 4 hrs?
3
Can somebody help me please I needed this for the longest (3x+2) and (x-7)
Answer:
They intercept at (-4.5, -11.5)
Step-by-step explanation:
Find the GCF of 38 and 49.
Answer:1
Step-by-step explanation:
I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1
Answer: The greatest common factor is 1
Step-by-step explanation:
49 is not even like 38 so the only one they have together in 1.
In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is
Answer:
where is the figure and without figure what to do
What is the domain of this quadratic function?
The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.
Find all whole values for y for which the double inequality is true: -5
Answer:
The values of y for which the inequality is true are;
-4,-3,-2,-1,1,0,1
Step-by-step explanation:
Here, we want to give all the values of y for which the given inequality is true
We have the inequality as;
-5 < y < 2
This can be read as -5 is less than 5 which is less than 2
This means that the correct y-values lie between -5 and 2 which are not inclusive
So the correct values of y in this case are;
-4,-3, -2, -1 , 0, 1
Answer this for 15 points
Answer:
A.
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
(x, y) = (3, 0)
0 = -2/3 (3) + b
0 = -2 + b
b = 2
y = -2/3 x + 2
Answer: A.
Answer:
y = - 2/3 + 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = - 2/3x + b Input Slope
Step 3:
0 = - 2/3 ( 3 ) + b Input x and y
Step 4:
0 = - 2 + b Multiply
Step 5:
2 = b Add 2 on both sides
Answer:
y = - 2/3 + 2
Hope This Helps :)
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were made during the game?
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
Answer:
x = -15/-3
Step-by-step explanation:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
Sam starts his hike at an elevation of 311 feet above sea level. When
he reaches the end of the hike, he is 6371 feet above sea level. What
was the change in elevation from the start of his hike to the end?
label optional
Answer:
6060 feet
Step-by-step explanation:
6371-311=6060
-3x-4=-5y-8 what is the y-intercept and x-intercept
Answer:
3/5x + 4/5 = y
or
y = 3/5x + 4/5
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To find the y-intercept just need to put 0 instead of x in the equation.
[tex] - 3(0) - 4 = - 5y - 8[/tex]
[tex] - 4 = - 5y - 8[/tex]
Add sides 8
[tex] -4 + 8 = - 5y - 8 + 8[/tex]
[tex] 4 = - 5y[/tex]
Divide sides by -5
[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]
[tex]y = - \frac{4}{5} \\ [/tex]
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To find the x-intercept just need to put 0 instead of y in the equation.
[tex] - 3x - 4 = - 5(0) - 8[/tex]
[tex] - 3x - 4 = - 8[/tex]
Add sides 4
[tex] - 3x - 4 + 4 = - 8 + 4[/tex]
[tex] - 3x = - 4[/tex]
Negatives simplifies
[tex]3x = 4[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]
[tex]x = \frac{4}{3} \\ [/tex]
Done...
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Write an equation of a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3
Answer:
y = (-3/5)x + 4
Step-by-step explanation:
Parallel lines have the same slope.
So the slope to the other line would be -3/5 as well.
Slope-intercept form is y = mx + b where m is the slope.
So you substitute the slope in making it y = (-3/5)x+b.
To find b, the y-intercept, you have to plug in the point for y and x in it. So you use the point (5,1) for it. That would get to 1 = (-3/5)5 + b.
To simplify that, it would get to 1 = -3 + b
Then you add 3 on both sides getting to b = 4.
Then you substitute b in, getting y = (-3/5)x + 4.
Hope this helped! If not, please let me know! <3
An equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.
Given that, a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
We know that, the slope of a line parallel to given line is m1=m2
By comparing y= (-3/5)x -3 with y=mx+c, we get m= -3/5
So, the slope of parallel line is -3/5
Now, put m= -3/5 and (x, y)=(5, 1), that is
1=-3/5 (5)+c
c= 4
So, equation with m=-3/5 and c=4, we have y=-3/5 x+4
Therefore, an equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in wall per gallon?
35/25
1 7/25
1/2
1 3/32
Answer:
Since your answer needs to be in walls per gallon I would assume you divide 4/5 by 5/8 since that would tell you how many walls he can paint in an hour.
4/5 walls÷5/8 gallons=1.28walls/gallon.
Step-by-step explanation:I hope this helps. Let me know if anything is unclear.
Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years
Answer:Arnold earns $87 of interest in 5 years.
Step-by-step explanation:
Solve the equation for all real solutions.
k^2+8k+22=6
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[tex] {k}^{2} + 8k + 22 = 6 [/tex]
Subtract sides 6
[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]
[tex] {k}^{2} + 8k + 16 = 0[/tex]
[tex] ({k + 4})^{2} = 0[/tex]
Thus ;
[tex]k + 4 = 0[/tex]
Subtract sides 4
[tex]k + 4 - 4 = - 4[/tex]
[tex]k = - 4[/tex]
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530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help
Answer:
6% of 530 is 31.8 hope this is what you ment
So who wants to help mehhhhh
Answer:
I will
Step-by-step explanation:
what is 1,935,825 in scientific notation ?
answer:1.935825×10 to the sixth power
step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.
What is the slope, the Y-intercept and the equation for this graph??
Answer:
equation of the line: y=1/2x-1
slope :1/2x
y intercept: -1
Step-by-step explanation:
using y1-y2/x1-x2:
-1-0/0-2= -1/-2=1/2
the slope is 1/2.
plug in the numbers from the given points to find the y intercept:
-1=1/2•0+b
b= -1
the y intercept is -1.
with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.
so, the equation of the line is y=1/2x-1
Helps me solve this problem please please
IT LOOKS LIKE transtive:)))))
Answer:
D
Step-by-step explanation:
Tyler looks at a map on his phone. He zooms in until the map scale for centimeters to kilometers is 0.3 to 1/5. How many centimeters does the map use to show 1 kilometer?
one kilometer is equal to a hundred thousand centimeters
First to awnser will the question correct will get brainlyist
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
-49%
Step-by-step explanation:
i know this one by doing a long math formula
Answer:
49.0%
Step-by-step explanation:
take the 2 numbers and find the difference
51 - 26 = 25
take the difference and divide it by the orginal number
25÷51 = 0.49019607843
then times that number by 100
(25÷51) × 100 = 49.0196078431
so the number was decreased by 49.0 %
Multi Step Problem (Show work!!)
-4 + -5 = 8
Answer:
the answer is -9 not 8
Step-by-step explanation:
If 4x = 64,
find the value of 2x + 3.
Answer:
35
Step-by-step explanation:
4x=64
divide that: =16
x=16
2(16)+3
35
12 cups equal:
A. 3 gallons
B. 6 quartz
C. 2 gallons
D. 24 quartz
E. 6 pints
Answer:
6 pints
Step-by-step explanation:
I just asked Alexa
Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries. If Joy wants to use 6 cups of blueberries in the fruit salad, how many cups of strawberries will she need to use? Use Scratchpad to draw a tape diagram to show your work.
Answer:
Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Step-by-step explanation:
Given,
Cups of blueberries used for 3 cups of strawberry = 2
Ratio of cups of blueberry to strawberry = 2:3
Joy wants to use 6 cups of blueberries.
Let,
x be the cups of strawberry for 6 cups of blueberries.
Ratio of cups of blueberries to strawberries = 6:x
Using proportion;
Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries
Product of extreme = Product of mean
Dividing both sides by 2