Answer: She got 30 questions right and 6 questions wrong.
Step-by-step explanation:
Let x = Number of correct questions, y = Number of wrong questions
As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.
Total score = 3x-1y
If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.
Now, x+y = 36 (1)
and 3x-y =84 (2) (as she scored 84)
Adding (1) and (2), we get
4x = 120
Divide both sides by 4, we get
x= 30
y = 36-30=6
hence, she got 30 questions right and 6 questions wrong.
Write the linear equation in slope intercept form y-2=1/2(x+4)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
Point-slope form; y - 2 = 1/2(x + 4)
Step 2: Rewrite
Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4Answer:
y=1/2x+4
Step-by-step explanation:
y-2=1/2(x+4)
(distribute the 1/2)
y-2=1/2x+2
(add 2 to both sides)
y=1/2x+4
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).
Answer:
2minutesStep-by-step explanation:
Since the expression for the amount of gas in the tank is given as
g = 5t + 4
we already know that g=14 which is the capacity of the tank
so let us put g=14 we have
14=5t+4
solving for t, which is the time taken to fill up the tank that already has 4 gal already we have
14=5t+4
14-4=5t
10=5t
t=10/5
t=2min
Therefore the time taken to fill the tank is 2minutes
Write your answer as a whole number and remainder.
73 : 8= R
Answer:
9 R 1
Step-by-step explanation:
73/8 = 9 R 1
we know 8x 9 = 72 so we know we have a remainder of 1
Point Q (-3,2) is translated 4 units left and 2 units down. What is the ordered pair of Q' after this translation?
a.(-7,0)
b.(4,0)
c.(4,4)
d.(1,4)
e.(1,0)
(-7,4)
Answer:
A (-7,0)
Step-by-step explanation:
I just drew it cause it's way easier than typing out :)
How can I turn this into a graph in Desmos,
Answer:
in Desmos there should be a plus sign right above the list of your equations on the left side. Click that plus sign and then click "table". then enter your numbers. then your points will be shown on the graph
to turn this into a line long press on the button next "y" on the table you have made, then select "lines"
Answer:
you go to desmos and you go to the left side of the website. choose which graph you want to do. if you want to use a regression line graph, or anything else. lmk if you need help
Step-by-step explanation:
Nedd help for this one
Answer:
20, -7, -14, 10, -5, 8
20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)
38 + (-26) - add like terms
12
12/6 -divide sum by number of values
2 - answer
hopes this helps
Step-by-step explanation:
Make s the subject of the formula
T^2=2p+as
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order.
Answer:
Step-by-step explanation:
Using the formula for calculating confidence interval
CI = xbar±z×S/√n
xbar is the mean of the sample
z is the z score at 90% = 1.645
S is the standard deviation of the score
n is the sample size = 26
Since we are not given the scores, we can assume the values of our mean and standard Deviation
Let xbar = 38
S = 3.0
Substitute the given values into the formula
CI = 38±(1.645×3.0/√26)
CI = 38±(1.645×3.0/5.099)
CI = 38±(1.645×0.5884)
CI = 38±0.9678
CI = (38-0.9678, 38+0.9678)
CI = (38.0322, 38.9678)
CI = (38.0, 38.9)
Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9
Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.
The function g(x) is a transformation of the cube root parent function,
f(3) = Vz. What function is g(x)?
g(x)
O A. g(x) = 1 + 2
O B. g(x) = x + 2
O c. g(x) = 273
OD. g(Q) = v
PREVIOUS
Answer:
C
Step-by-step explanation:
Apex
The value of function of g (x) is,
⇒ g (x) = 2∛z
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function g(x) is a transformation of the cube root parent function,
The function is,
⇒ f (x) = ∛z
Now, After translation we get;
The value of function of g (x) is,
⇒ g (x) = 2∛z
Thus, The value of function of g (x) is,
⇒ g (x) = 2∛z
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Graziano predicted that he would sell 420 tablecloths. He actually sold 520 tablecloths. What are the values of a and b in the table below? Round the answer to the nearest tenth.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Tablecloths
420
520
a
b
a = -100/420; b = -23.8%
a = -100/520; b = -19.2%
a = 100/520; b = 19.2%
a = 100/420; b = 23.8%
Answer
-19.2
Step-by-step explanation:
Answer:
-19.2
Step-by-step explanation:
Yes
Which are the partial products of 3,706 × 4?
Answer:
14824
Step-by-step explanation:
the product is 14824
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
which expression represents this model?
Answer:
3-6 I think
Step-by-step explanation:
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
There are two angles and sides marked as congruent\
The angles in the middle are congruent by the Vertical Angles Theorem
They have congruent side with congruent angles adjacent so it's Angle Side Angle
i'm in a math test and i need help what is 1 + 1
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?
How long will it take for them both to have the same amount saved?
How much will they both have when they have the same amount?
Answer:
120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210
Step-by-step explanation:
120 +10w = 75 + 15w
120-75= - 10w+15w
45=5w
45/5=9
9 weeks
120 + 90 = 75 + 135
210= 210
44 kg of tomatoes cost $352. How many
kilograms of tomatoes can you get with
$216?
Answer:
27 tomatoes
Step-by-step explanation:
Answer:
27kg
Step-by-step explanation:
352 divided by 44 equals 8. 216 divided by 8 equals 27. So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.
Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)
3-4 what is the answer I am dumb plz helq
Answer:
Its -1. Do not call yourself dumb, though, negatives are the easiest subject
Step-by-step explanation:
The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What
Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)
Answer: − 10 x + 7.5
Step-by-step explanation:
Answer:
− 10 x + 7.5
Step-by-step explanation:
Hope this helped!
The polynomial p(x)=3x^3-5x^2-4x+4 has a known factor of (x-2)
Answer:
3x^2-x-2 or (x+1) (3x-2) (x-2)
Step-by-step explanation:
I'm assuming you have to divide:
(x-2)[tex]\sqrt{3x^3-5x^2-4x+4}[/tex]
Hope this helps.
Answer:
p(x)=(x+1)(3x-2)(x-2)
Step-by-step explanation:
A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage
SP of a machine = Rs. 990
Profit% = 10 %
SP of other machine = Rs. 1960
loss% = 2 %
Find:his gain or loss percentage
Solution:We know that,
CP * (100 + profit%)/100 = SP
So,
First machine :
CP * (100 + 10)/100 = 990
⟹ CP = 990 * 100/110
⟹ CP = Rs. 900
Second machine :
We know that,
CP * (100 - loss%)/100 = SP
⟹ CP * (100 - 2)/100 = 1960
⟹ CP = 1960 * 100/98
⟹ CP = Rs. 2000
Now,
We have to find the total loss or profit percentage.
Total SP = 990 + 1960 = Rs. 2950 Total CP = 900 + 2000 = Rs. 2900.We observe that,
SP > CP.
so, a gain is occured.
gain % = gain/CP * 100
gain = SP - CP
So,
gain% = (2950 - 2900)/2900 * 100
⟹ gain% = 50/29
⟹ gain% = 1.72 %
∴ A gain of 1.72% is occured in the whole transaction.
I hope it will help you.
Regards.
Answer:
HELLO SISO❤
IT'S ME YIREN
Step-by-step explanation:
→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%
please help, and it’s ok if you don’t understand it or get it wrong, please don’t feel guilty ^-^
Answer:
i think its 4.5
Step-by-step explanation:
is 1.908x10 to the 17 power scientific why or why not
Answer:
Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.
Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
Please help ASAP !! Need it rn
Answer:
if the lines have arrows at the end then the domain is infinite.
Step-by-step explanation:
Lines are infinite
Answer:
Domain: x ∈ all real numbers
Step-by-step explanation:
It appears to be the function |x|-1 and that is defined by all values of x. Meaning that the domain is x can be any value.
put this numbers from greatest to least
0.2734, 23.74, 0.0347, 0.43,0.0043
Answer:
Step-by-step explanation:
23.74, .43, .2734, .0347, .0043