Answer:
(-3, 0) and (1, 0)
(0, 4)
Step-by-step explanation:
x-intercept is the point where y = 0.
y-intercept is the point where x = 0.
or points ...
f(x) = y = -4×|x + 1| + 8
let's start with the y-intercept (x = 0)
y = -4×1 + 8 = -4 + 8 = 4
the y-intercept point (only 1 point) is (0, 4).
for x = 0 the absolute value function contains 0+1. and that is always +1.
the x-intercept(s) :
0 = -4×|x + 1| + 8 (dividing by -4)
0 = |x + 1| - 2
|x + 1| = 2
because of the absolute value we have 2 possibilities :
+(x + 1) = 2
x + 1 = 2
x = 1
and
-(x + 1) = 2
-x - 1 = 2
-x = 3
x = -3
so the points of x-intercept are (-3, 0) and (1, 0)
Need help with this geometric question ASAP, Thank you
Answer:
a. x = 9
b. GH = 30; GK = 20
Step-by-step explanation:
An angle bisector in a triangle divides the sides proportionally.
a.In this triangle, that means ...
(3x +3)/18 = (3x -7)/12
2(3x +3) = 3(3x -7) . . . . . . . multiply by 36
6x +6 = 9x -21 . . . . . . . . . eliminate parentheses
27 = 3x . . . . . . . . . . . . . . add 21 -6x
x = 9 . . . . . . . . . . . . . . . divide by 3
__
b.The segment lengths are found by substituting the value of 3x in each of the given expressions:
GH = 3x +3 = 27 +3 = 30
GK = 3x -7 = 27 -7 = 20
Three and one fifth of 1 1/2 is what number?
Answer:
3 1/5 = 16 / 5
1 1/2 = 3 / 2
16 / 5 * 3 / 2 = 48 / 10 = 24 / 5
The correct answer is 24 / 5 = 4 4 /5
(You can check on your calculator)
Find the missing vertical angles.
Answer:
L1 = 113°
L4 = 67°
Step-by-step explanation:
L1 + L2 = 180°
L1 = 180° - L2
L1 = 180° - 67°
L1 = 113°
L3 + L4 = 180°
L4 = 180° - L3
L4 = 180° - 113°
L4 = 67°
Proof-
Combination of L1,L2,L3 and L4 should be 360°
113°+67°+113°+67° = 360°
Which choice correctly compares the two numbers? A) 2.41 > 2.37 B) 2.75 < 2.24 9 2.75 > 3.24 D) 3.48 < 2.47
Answer:
A 2.41 > 2.37
Step-by-step explanation:
2.41 is greater than 2.37
Answer:
A
Step-by-step explanation:
others arent true
solve this sum. ....
Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3
OQ = QR = RS = SPDraw a number line and find three equal points
so points:
Q = 0.75R = 1.5S = 2.25Answer:
[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]
Step-by-step explanation:
Given information:
O = 0P = 3Points Q, R and S are between O and POQ = QR = RS = SPTherefore, there are 4 segments of equal distance between points O and P.
Length of OP = 3 - 0 = 3
⇒ Length of each segment = 3/4
To find the point of Q, R and S, add 3/4 to each point:
Point O = 0
⇒ Point Q = 0 + 3/4 = 3/4
⇒ Point R = 3/4 + 3/4 = 3/2
⇒ Point S = 3/2 + 3/4 = 9/4
Point P = 9/4 + 3/4 = 3
Therefore,
[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]
Which ordered pair is a solution to the following system of inequalities
Look at this parallelogram. Find the value of p.
Answer:
15
Step-by-step explanation:
15 is the answer
If you need solution do let me know in the comments
A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon. If 750 people go to this store each day, how many people would you expect to use a coupon?
If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon
What is probability?Probability is the likelihood of occurrance of an event. It is given by:
Probability = number of occurrence / total number of possible occurence
A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.
Probability of using coupon = 32/40 = 0.8
Hence if 750 people go to this store each day, number of people sampled = 75.
Number of people expected to use the coupon = 75 * 0.8 = 60
If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon
Find out more on probability at: https://brainly.com/question/24756209
PLEASE HELP
The graph of g(x)=3x^2+bx-24 has the same x-intercepts. what is the value of b?
(A) -6
(B) 14
(C) -2
(D) 1
The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2.
How to determine a missing coefficient in a second order polynomial
Second order polynomials are represented graphically by parabolae and it may have two, one or no x-intercepts. The quantity of x-intercepts can be deducted from the discriminant of the quadratic formula, which is defined below:
For a · x² + b · x + c = 0, the discriminant is defined by:
d = b² - 4 · a · c (1)
There are three rules to determine the number of possible intercepts:
If d < 0, then there are no x-intercepts.If d = 0, then there is only one x-intercept.If d > 0, then there are two x-intercepts.Then, we have to find a value of b so that (1) has the following form:
b² - 4 · 3 · (-24) = 0
b² - 288 = 0
b = 12√ 2
The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2. [tex]\blacksquare[/tex]
RemarkThe answer choices do not correspond with the given statement, the phrase "same x-intercepts" may lead to confusion and possible graph cannot be found. A possible corrected statement is shown below:
The graph of g(x) = 3 · x² + b · x - 24 has only one x-intercept. What is the value of b?
To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/10572747
Answer:
Step-by-step explanation:
Can someone help me out? I can't understand this shape. (Explanation also please). I'll mark brainliest
The surface area of the rectangular prism is 46m²
How to find surface area of a rectangular prism?length = 4mwidth = 2.5mheight = 2mSurface area of a rectangular prism = 2(width×length + height×length + height×width)
SA = 2(wl + hl + hw)
= 2(2.5×4 + 2×4 + 2×2.5)
= 2(10 + 8 + 5)
= 2(23)
= 46m²
Therefore, the surface area of a rectangular prism is 46m²
Learn more about surface area:
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The total weight of a delivery truck is equal to the weight of the empty truck plus
the weight of the packages. The truck weighs 8,200 lb when empty.
Write an equation that shows how to use the total weight of the truck to
find the weight of the packages. Show your work.
The weight of the package is an illustration of a linear function
The total weight of the package is p = 8200 - T
How to determine the total weight of the package?The given parameter is:
Weight of empty truck = 8200 lb
Represent the total weight of the truck with T, and the weight of the package with p.
So, we have:
T = 8200 + p
Make p the subject
p = 8200 - T
Hence, the total weight of the package is p = 8200 - T
Read more about linear equations at:
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Pls help me 20 points
Step-by-step explanation:
a volume is created (calculated) by multiplying 3 dimensions (e.g. length, width and height).
am area is created by multiplying 2 dimensions (e.g. length and width).
but a scale factor applies only to any length in the model (but then separately for every dimension of the model).
so, when we multiply 2 dimensions, we have to multiply the scale factor with every dimension (2 times) in there too.
and for 3 dimensions 3 times.
so,
1.
the scale factor 1/100 or 0.01 says that every side of the model cube is 1/100 the side length of the real cube.
and so, while the volume of the real cube is
side × side × side = 3,401,244 ft³,
the volume of the model cube is
side × 1/100 × side × 1/100 × side × 1/100 =
= side × side × side × (1/100)³ =
= real volume × 1/1,000,000 =
= 3,401,244 / 1,000,000 = 3.401244 ft³
2.
the scale factor is 3/4.
that means that it applies to length as well as to width of the floor.
so, the area of the first floor is
length × width = 1,260 ft²
and the area of the second floor is then
length × 3/4 × width × 3/4 =
= length × width × (3/4)² =
= area first floor × 9/16 = 1,260 × 9/16 = 708.75 ft²
PLEASE HELP ASAP!!!!!
a lower auto insurance deductible usually means a higher __
a.) maintenance cost
b.) max out of pocket
c.) premium
d.) ticket.
The deductible is the amount one pays towards the auto insurance
The complete statement is: a lower auto insurance deductible usually means a higher premium
What is deductible?When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible
As a general rule, the more the deductible, the lower the premium; and vice versa.
This means that: a lower auto insurance deductible usually means a higher premium
Hence, the text that completes the statement is premium
Read more about deductible and premium at:
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Select the correct answer
What is the range of this function?
Please help it’s multiple choice wil choose brain list an 100 points!!!!!
LETTER B IS THE CORRECT ANSWER
Which expression is equivalent to the following complex fraction?
Consider the fraction first ;
[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]
Hence, Option B) is required answer
9
Emily drives 186 miles in 3 hours.
(a) What is her average speed?
Answer:
Her average speed would be 62 mph.
Step-by-step explanation:
Step 1. Do 186 divided by 3
Step 2. The answer you would get is 62
Step 3. Label to get 62 miles per hour (mph)
I hope that this helps! :)
Step-by-step explanation:
Displacement = 186 miles
Time taken = 3hours
Average speed = ?
Now,
[tex]average \: speed = \frac{total \: distnce}{total \: time \: } \\ = \frac{186}{3} \\ [/tex]
= 62 miles per hour
Find the difference of 7 2/3 and 6 3/7
Answer:
Fraction answer (about):
1 1/4
Decimal answer (about):
1.24
Step-by-step explanation:
7 2/3 - 6 3/7 =
1.2380952381
1.2380952381 = about 1.24
The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4
Have a great rest of your day
#TheWizzer
Answer:26/21
Step-by-step explanation:
8. Which statement about quadrilateral is true? A All rectangles are always squares B. All trapezoids are always rhombuses C. All rectangles are always rhombuses. D. All rectangles are always parallelogram
Answer:
I think it's D. All rectangles are always parallelogram
Step-by-step explanation:
Please mark me brainliest if correct
Which set of data is represented by the box plot? Interactivate: Box Plot Question 6 options: {1, 4, 6, 10, 12, 13, 17, 20, 21} {1, 4, 6, 10, 12, 14, 19, 20, 25} {4, 5, 8, 10, 15, 17, 19, 20, 25} {1, 4, 6, 7, 8, 9, 10, 12, 25}
To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
What is a Box Plot?If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.
The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.
Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
Learn more about box pot on:
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what is the volume of a oblique cylinder with the height of 6 cm and a 4 cm as the radius of its base
Answer :
301.44 cm³⠀
Explanation :
We know,
[tex]{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}[/tex]
Where,
r is the radius of the cylinder. Here, the radius is 4 cmh is the height of the cylinder. Here, height is 6 cmHere, we will take the value of π as 3.14 approximately .⠀
Substituting the values in the formula :
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}[/tex]
⠀
Therefore,
The volume of the cylinder is 301.44 cm³ approximately.The diagram shows two straight lines. Both lines intersect at point A. У y = 4x A х A y = -2 Identify the coordinates of point A. (3-2) (-2,-5) , -8 (-2,2) () (2-2 ) A B D
Answer:
Point [tex]A[/tex] is at [tex](-1/2,\, -2)[/tex].
Step-by-step explanation:
The intersection [tex](x,\, y)[/tex] of two lines in a plane could be found by solving a linear system of two unknowns ([tex]x[/tex] and [tex]y[/tex]) and two equations (one for each line.)
In this question, the equation of the two lines are [tex]y = 4\, x[/tex] and [tex]y = -2[/tex], respectively. The corresponding system of equations would be:
[tex]\left\lbrace \begin{aligned} & y = 4\, x \\ & y = -2\end{aligned} \right.[/tex].
Solve this system for [tex]x[/tex] and [tex]y[/tex]:
[tex]y = (-2)[/tex].Substitute [tex]y = (-2)[/tex] into the first equation and solve for [tex]x\![/tex]: [tex]x = (-1/2)[/tex].Therefore:
[tex]\left\lbrace \begin{aligned} & x = -\frac{1}{2} \\ & y = -2\end{aligned} \right.[/tex].
Thus, the coordinates of this intersection [tex](x,\, y)[/tex] would be [tex](-1/2,\, -2)[/tex].
Given the equation, what is the center and radius of the circle?
(X-2) ^2+ (Y+11)^2=100
Answer:
Center: (2, -11)
Radius: 10
Step-by-step explanation:
(x - 2)² + (y + 11)² = 100
(x - h)² + (y - k)² = r²
-------------------------------
x - 2 = 0
+2 +2
x = 2
------------
y + 11 = 0
-11 -11
y = -11
------------------------------
r² = 100
r = √100
r = 10
----------------------------
Center: (h, k)
Radius: r
-------------------------------
Center: (2, -11)
Radius: 10
I hope this helps!
We are given the equation of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (2, -11)Radius = 10 unitsMARK AS BRAINLIEST
Below is the table of values of a function. Write the output when the input is n.
input
1
2
8
n
output
5
6
12
?
Answer:
Step-by-step explanation:
the answer is correct so good job ok
Stedents are decorating a banner to hang in the school way. The banner is 9 1/2 feet long and 2 1/2 feet wide . What is the area of the border the students are decorating?
3 4/5square feet
12 square foot
24 square feet
23 3/4square feet
Answer:
it would be 12 square feet human
Step-by-step explanation:
9 1/2+2 1/2=12 so 12 square feet
Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B, and a hypotenuse of length z opposite the right angle. If [tex]sinB=1/sqrt(3)[/tex] and x=8, find the length of the other side (y) and the length of the hypotenuse (z).
Answer:
y = 4√2 ≈ 5.66z = 4√6 ≈ 9.80Step-by-step explanation:
From the sine of the angle, the other trig function values can be determined:
cos(B) = √(1 -sin²(B)) = √(1 -(1/√3)²) = √(2/3) = (√6)/3
tan(B) = sin(B)/cos(B) = (1/√3)/(√2/√3) = 1/√2 = (√2)/2
__
Then the unknown side can be found from ...
Tan = Opposite/Adjacent
tan(B) = y/x
y = x·tan(B) = 8·√2/2 = 4√2 ≈ 5.66
__
And the hypotenuse is ...
Cos = Adjacent/Hypotenuse
cos(B) = x/z
z = x/cos(B) = 8/√(2/3) = 8√(3/2) = 4√6 ≈ 9.80
?? im so confused please help
Answer:
y = 5.5 ·x
Step-by-step explanation:
x= pounds purchased
y = cost in $
Given:
4 pounds for $22
x pounds for $ y
Find unit price so will know how much will pay for 1 pound
22/4 = 11/2 = $ 5.5 for 1 pound
Make a general formula :
y = 5.5 ·x
what is the volume of a rectangular prism with height of 12 inches and a base with an area of 2 square inches.
Answer:
24 cubic inches
Step-by-step explanation:
Volume is side x side x side. You already have done side x side so it is just side x area.
A={2,4,6,…,18,20} then n(A)=
Answer:
n(A) = 10
Step-by-step explanation:
The number of elements in the set of even numbers from 2 to 20 is 10.
n(A) = 10
_____
Additional comment
Dividing the set elements by 2 maps them to the Natural numbers 1 .. 10. This makes them easy to count.
How many inches are in 6 3/4 feet? Enter only a number. Do not include units.
Answer:
81 inches
Step-by-step explanation:
I believe this is it…
Find the value of x
What is the answer
Answer:
35
Step-by-step explanation:
well, you know the angles of a triangle add up to 180 degrees, and you have the other 2 degrees right there, so all you have to do is add both of the other angles 111+34= 145 and then subtract by 180, 180-145=35 so your answer is 35