Answer:
Step-by-step explanation:
First we need to find the score of the incorrect answers and the questions that were not answered.
Score for the incorrect answers = 4*(-2) = -8
Score for the questions not answered = 6*(-1) = -6
Score for the questions answered correctly = 106 - [ (-8) + (-6) ]
= 106 -[-14]
= 106 + 14
= 120
Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer
= 120 ÷ 4
= 30
30 questions were answered correctly.
Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.
Answer:
g(x) is the translation of f(x) 2 units to the left and 4 units down
Find the x- and y-intercepts of the quadratic function below. Give non-integer
coordinates in fractional form.
f(x) = 2x2 - 5x + 3
-
Answer:
Step-by-step explanation:
Answer the Both (a) and (b) . And show the method too. I will make Brainelist + 50 points
#a
4p-6pq+9q-64p-3(2pq+3q-2)#b
That be x and y
So
x+y=15--(1)2x+4y=64--(2)So
from eq(1)
x=15-y--(3)Put in second one
2(15-y)+4y=6430-2y+4y=642y=34y=17Put in third one
x=15-17x=-2Take it positive
x=2Answer:
(a) (i) Factorize [tex]\sf 4p-6pq+9q-6[/tex]
Rewrite by swapping the order of the first two terms:
⇒ -6pq + 4p + 9q - 6
Factorize the first two terms and the last two terms separately:
⇒ -2p(3q - 2) + 3(3q - 2)
Factor out the common term (3q - 2):
⇒ (3q - 2)(-2p + 3)
(ii)
Square of the binomial: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Rewrite [tex]9.9[/tex] as [tex]10 - 0.1[/tex]
Therefore, [tex]a = 10[/tex] and [tex]b = -0.1[/tex]
Also, remember that multiplying a number by 0.1 is the same as dividing it by 10. (when dividing a decimal number by 10, simply move the decimal point 1 place to the left).
[tex]\begin{aligned}\implies 9.9^2 & =(10-0.1)^2\\ & =10^2-2 \cdot 10 \cdot 0.1+0.1^2\\& = 100-\dfrac{2 \cdot 10}{10}+\dfrac{0.1}{10}\\& =100-2+0.01\\ & =98 + 0.01\\ & = 98.01\end{aligned}[/tex]
(b) (i)
Let x = number of motor bicycles
Let y = number of cars
Given:
There are 15 vehicles of two types⇒ x + y = 15
Given:
The number of tires in all vehicles is 64⇒ 2x + 4y = 64
(ii) Rewrite x + y = 15 to make x the subject:
⇒ x = 15 - y
Substitute into 2x + 4y = 64 and solve for y:
⇒ 2(15 - y) + 4y = 64
⇒ 30 - 2y + 4y = 64
⇒ 30 + 2y = 64
⇒ 2y = 34
⇒ y = 17 cars
Substitute found value of y into x = 15 - y to find x:
⇒ x = 15 - 17 = -2 motorbikes
**There must be an error in the question, as with the given information, the number of motorbikes is -2, which is impossible.**
Here are the possible combinations of number of motorbikes (M) and number of cars (C) whose sum of tires is 64. As you can see, there is no combination that sums to 15 vehicles:
0 M + 16 C = 16 vehicles
2 M + 15 C = 17 vehicles
4 M + 14 C = 18 vehicles
6 M + 13 C = 19 vehicles
8 M + 12 C = 20 vehicles
10 M + 11 C = 21 vehicles
12 M + 10 C = 22 vehicles
14 M + 9 C = 23 vehicles
16 M + 8 C = 24 vehicles
18 M + 7 C = 25 vehicles
20 M + 6 C = 26 vehicles
22 M + 5 C = 27 vehicles
24 M + 4 C = 28 vehicles
26 M + 3 C = 29 vehicles
28 M + 2 C = 30 vehicles
30 M + 1 C = 31 vehicles
32 M + 0 C = 32 vehicles
Which rule(s) represents a linear function?
Answer:
f(x) = ax + b, where a and b are real numbers.
As a waitress, Willow earns an average of 18% tips on all food sales. Last week she worked five days and sold an average of $381.00 in food each day. How much did Willow earn in tips last week? (4 points)
$68.58
$104.27
$342.90
$396.91
The Amount in tip was first computed which is $68.58 per day, in five days, Willow will earn $342.90 in tips
Percentage of NumbersGiven Data
Tip = 18%Amount earned each day = $381.00Let us find the amount of tip earned per day
Amount in tip = 18/100*381.00
Amount in tip = 0.18*381.00
Amount in tip = 68.58
Hence, for five days, her tip will be
= 68.58*5
= $342.90
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Simplify and write the trigonometric expression without any fractions: tan(u)+cot(u)
Answer:
[tex]\csc(u).sec(u)[/tex]
Step-by-step explanation:
[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
(Sin²u + Cos²u) = 1
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan (u) + Cot (u)
We know that,
Tan x = sin x / cos x
Cot x = cos x / sin x
Now,
Tan (u) + Cot (u)
= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)
Simplify by forming into a fraction.
= (Sin²u + Cos²u) / Sin(u)Cos(u)
[ sin² + cos² = 1 ]
So,
(Sin²u + Cos²u) = 1
= 1 / Sin(u)Cos(u)
= 1/Sin(u) x 1/Cos(u)
= Cosec(u) x Sec(u)
Thus,
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
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What is the equation of a circle with center (−5, −8) and radius 2?
(x − 5)2 + (y − 8)2 = 4
(x + 5)2 + (y + 8)2 = 4
(x + 5)2 + (y + 8)2 = 2
(x − 5)2 + (y − 8)2 = 2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Standard equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of centre k = y - coordinate of centrer = radius of the circle
Now, let's plug in the values ~
[tex]\qquad \sf \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]
Therefore, the correct choice is B
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4
How to determine the circle equation?The center of the circle is given as:
Center (a,b) = (-5, -8)
The radius is given as:
Radius, r = 2
The equation of the circle is calculated using:
(x - a)² + (y - b)² = r²
Substitute values for r and (a,b)
(x + 5)² +(y + 8)² = 2²
Evaluate the square of 2
(x + 5)² +(y + 8)² = 4
Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4
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Please need help on this one
Answer:
○ [tex]\displaystyle -\frac{3}{4}\:houses\:per\:day[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-8 + 2}{-2 + 10} = m \hookrightarrow \frac{-6}{8} = m \\ \\ \boxed{-\frac{3}{4} = m}[/tex]
I am joyous to assist you at any time.
The fuel tank of chris new lawn mower holds 1/2 gallon of gasoline chris poured 0.4 gallons into the tank did chris fill the tank explain?
I took the Integrity Pledge.
Do I put True or False ?
True or False
What does integrity mean?
Answer:
a little confusing, but i think its a fake quiz that asks for your pledge so you put true, and integrity: the quality of being honest and having strong moral principles; moral uprightness
Step-by-step explanation:
250 lottery tickets were sold and there are 5 prizes on these ticket if Kunal has purchased one lottery ticket what is the probability that he wins a prize
Total number of tickets sold = 250
Number of prizes = 5
Number of favorable outcomes = 5
[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]
[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]
Simply the expression 3(2y - 8) - 2y(5-y)
Answer:
-4y - 24 + 2y²
Step-by-step explanation:
1. Simplify the distributive properties
⇒ 3(2y - 8) - 2y(5 - y)
⇒ 6y - 24 - 10y + 2y²
2. Combine like terms
⇒ 6y - 24 - 10y + 2y²
⇒ y(6 - 10) - 24 + 2y²
3. Simplify the expression
⇒ y(6 - 10) - 24 + 2y²
⇒ -4y - 24 + 2y²
find GCF of 40 and 120
Answer:
Hi there!
Find the GCF of 40 and 120The GCF of 40 and 120 is 4040 ÷ 40 = 1
120 ÷ 40 = 3
Hope its help!A garden table and a bench cost $668 combined. The garden table costs $82 less than the bench. What is the cost of the bench?
Step-by-step explanation:
let the cost of the bench = x
the cost of the garden table = x + 82
x + (x + 82) = 668
2x + 82 = 668
2x = 586
x = 293
The bench costs $293 and the garden table costs 293 + 82 = $375
can you mark me as brainliest, it will help me a lot. thank you in advance
Whats 0.3(x-5)=7.2 as a numerical
Answer:
x=29
Step-by-step explanation:
0.3(x-5)=7.2
multiply by 10
3(x-5)=72
divide by 3
[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]
Let R be the shaded region bounded by the graphs of y = e^x, y = -1, x = 1, and the y-axis. R is the base of a solid with cross sections perpendicular to the x-axis as squares. Find the volume of the solid.
Answer:
get a graphing caculator and type the numbers in the rectangle and see what you get
Step-by-step explanation:
Allie and Roman are now trying to graph the red line shown here.
Allie entered this equation: y=-2
Roman entered this equation: x=-2
Who is right, and how do you know?
What is the equation of the line in slope-intercept form -8 and 8 ?
Answer:
y = x - 8
Step-by-step explanation:
y = x - 8
Check your answer using (0, -8):
y = x - 8
-8 = 0 - 8
-8 = -8
This statement is true
Also, view the attached graph.
Hope this helps!
I will mark you brain list and Give you 90 point if you do it right and answer right thanks
Answer:
11 Students
Step-by-step explanation:
It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.
Answer:
Step-by-step explanation:
At the movie theatre , child admission is $ 6.40 and adult admission is $ 9.60 . On Monday , 153 tickets were sold for a total sales of $ 1270.40 . How many adult tickets were sold that day ?
Answer:
91 adult tickets
Step-by-step explanation:
Algebra is really useful here:
Let a = number of adult tickets sold and c = number of child tickets sold.
Thus, we can say that
a + c = 153 (number of tickets)
6.40c + 9.60a = 1270.4. (cost of all of the tickets)
Solving,
c = 153 - a
6.40(153 - a) + 9.60a = 1270.4
979.2 - 6.40a + 9.60a = 1270.4
3.20a = 291.2
a = 91
What is the median of this data set?
{13, 13, 13, 15, 15, 16, 16, 17, 17}
{13, 13, 13, 15, 15, 16, 16, 17, 17}
the median is 15
Answer:
it is 15.
Step-by-step explanation:
the median is the middle number in the data set. in this case, 15 is in the middle.
PLEASE HELP ME |x-5|+|x+5| if x>5
Answer:
If you don't understand handwriting
then comment ok
Find the perimeter and area of the following figure.
10 ft
5 ft
8 ft
3 ft
Answer:
33ft
Step-by-step explanation:
1. Work out the missing length.
2.10-3=7 so it is 7.
10+5+8+3+7=33ft
Refer to Figure 8-9. The loss of producer surplus as a result of the tax is a. $3,000. b. $6,000. c. $9,000. d. $12,000.
The loss in producer surplus as a result of the tax given the information in the diagram is $9000.
What is the loss in the producer surplus?Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product
The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax
Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)
12000 - 3000 = $9000
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∠45° is complementary to which of the following angles?
∠45°
∠135°
∠315°
∠55°
The answers people keep on giving is 90 but it doesnt say it here. Can someone help me?
Answer:
45°
Step-by-step explanation:
complementary angles add up to 90° so it's 90-45
J F F 570 K po 142° G H Find the value of x.
Answer:
I'm stuck on the same question
Step-by-step explanation:
NEED HELP!
What is the zero of the function?
f (x) = x2+x-42/x2+3x-28
Enter your answer in the box.
[tex]f(x)=\cfrac{x^2+x-42}{x^2+3x-28}\implies \stackrel{f(x)}{0}=\cfrac{x^2+x-42}{x^2+3x-28}\implies 0 = x^2+x-42 \\\\\\ 0=(x+7)(x-6)\implies x= \begin{cases} 6\\ -7 \end{cases}[/tex]
Pls help!!!!!!!!!!!!!!!!!!!!
Answer:
step 1,×+8=_2
step2,×=_2_8
step3,×=_10
40 Points !!!!
Find the slope of line e.
a. -1/2
b. 1/2
c. -2
d. 2
Eliana draws a quadrilateral that has sides measuring 12 centimeters, 10 centimeters , 12 centimeters, and 10 centimeters in length. The angles are NOT right angle. What type of quadrilateral did Eliana draw?
Answer:
parallelogram
Step-by-step explanation:
opposite sides are congruent so this meets the minimum requirement to be a parallelogram.