[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \:f(x) =- 8x + 14 + 15 {x}^{2} [/tex]
we have to find value of f(-3), so plug the value of x as -3 in the equation ~
[tex]\qquad \sf \dashrightarrow \:f( - 3) =- 8( - 3) + 14 + 15 {( - 3)}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 24 + 14 + 15 {(9)}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 38+ 135 [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 173 [/tex]
I hope it's easy to understand now ~
f(-3):
[tex]\\ \rm\Rrightarrow 15x²-8x+14[/tex]
[tex]\\ \rm\Rrightarrow 15(-3)²-8(-3)+14[/tex]
[tex]\\ \rm\Rrightarrow 15(9)+24+14[/tex]
[tex]\\ \rm\Rrightarrow 135+38[/tex]
[tex]\\ \rm\Rrightarrow 173[/tex]
Help with this question please
Answer:
See below
Step-by-step explanation:
(a)
[tex]\angle A\cong \boxed{\angle Z}[/tex][tex]\angle B\cong \boxed{\angle Y}[/tex][tex]\angle C\cong \boxed{\angle X}[/tex](b)
[tex]\overline{AB}\cong \boxed{\overline{ZY}}[/tex][tex]\overline{AC}\cong \boxed{\overline{ZX}}[/tex][tex]\overline{BC}\cong \boxed{\overline{YX}}[/tex](c)
[tex]\triangle CAB \cong \triangle \boxed{XZY}[/tex]Line v passes through points (10, 9) and (1, 13). Line w is perpendicular to v. What is the slope of line w?
Answer:
9 / 4
Step-by-step explanation:
The slope of line V can be found using the formula for slope: (y2 - y1) / (x2 - x1).
(y2 - y1) / (x2 - x1)
(13 - 9) / (1 - 10)
(4) / (-9)
Two slopes are perpendicular when the values are reciprocals. The slope of line V is 4 / (-9). The reciprocal of this is: 9 / 4.
a monkey is trying to climb a coconut tree. he takes 3 steps forward and slips back 2 steps downwards. each step is 30 cm and each backward step is 40cm. how many steps are required to climb a 100cm tree? Thank you!
if [tex]\frac{1}{x} +\frac{2}{3x} =4[/tex], what is the value of x
Answer:
[tex] \frac{5}{12} [/tex]
Hope it helps............
How many Pennies did she collect in total
Answer: 4
Step-by-step explanation:
add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression b square +10b
Answer:
+ 25
Step-by-step explanation:
b² + 10b
using the method of completing the square
add ( half the coefficient of the b- term)²
b² + 2(5)b + 25
= (b + 5)² ← a perfect square
i have number 9 , i just need number 10
if the circle is centered at point O, what is the measure of MON ?
2. A tent is cylindrical in shape with a conical top above it. The radius of the base of the tent is 7 m. The height of the cylindrical part is 10 m and the height of the conical part is 4 m. Find the volume of air in the tent and the area of canvas cloth needed to construct the tent.
Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal length?
A. x√2
B. x √3/2
C. x^2/2
D. 2x√2
Answer:
Hello your answer is either A. B. C. OR D.
Step-by-step explanation:
This is correct cus it cant be wrong
also my other acc
is brokededed =(
Answer:
it could be one of those answers
Step-by-step explanation:
:P
Nuggets~
If stu=(13x-6), msu=(21x+8) and mut=143 find mst
The value of arc ST in the circle with center at point V is 125 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
mSU = 2 * ∠STU (angle at center is twice angle at circumference)
21x + 8 = 2(13x - 6)
x = 4
mSU = 21(4) + 8 = 92°
mSU + mUT + mST = 360° (angle in a circle)
92 + 143 + mST = 360
mST = 125°
The value of arc ST in the circle with center at point V is 125 degrees.
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y varies inversely as x and y = 11 when x = 8. Determine the value of y when x = 16
22
5.5
17
34
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's get started ~
According to question :
[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]
where, k = proportionality constantNow, we have been given that when y = 11, x = 8
Let's plug these values in equation to find value of k ~
[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]
[tex]\sf \dashrightarrow k = 11 \times 8[/tex]
[tex]\sf \dashrightarrow k =88[/tex]
we got the value of proportionality constant. now we have been asked to find the value of y when x = 16
So, let's use the equation ~
[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]
[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]
[tex]\sf \dashrightarrow y = 5.5[/tex]
I hope you understood the whole procedure ~
two boys decided to buy a computer. The second boy had 5/6 of the amount of money the first had. The first boy had 7/8 of the price of the computer. Together they had $696 more than they needed to pay. What was the price of the computer
Answer:
1152$
Step-by-step explanation:
b1 = 7/8 C
b2 = 5/6 b1 = 35/ 48 C
7/8 C + 35/48 C = C + 696
42/48 C + 35/48 C = 48/48 C + 696 * 48/48
(42 + 35 - 48 ) C = 696 * 48
29 C = 33408
C =1152.
8 oz of cream cheese for $1.98 or 1 pound for 3.75?
There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75
On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is
.
The slope of diagonal QR is
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is
The midpoint of QR is
.
The diagonals of the square are perpendicular bisectors because the diagonals are
Answer:
Step-by-step explanation:
Answer: The answers are: -1, 1, (2, 2), (2, 2), & perpendicular and share the same point.
Step-by-step explanation: Trust Me! Answer is correct in Edge.
Good Luck! :)
The slope of diagonal PS is -1 The slope of diagonal QR is 1The midpoint of PS is (2, 2) The midpoint of QR is (2, 2)The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same point.Which is greater: 10 centimeters or 103 millimeters? How much greater?
PLEASE HELP
Answer:
Step-by-step explanation:
103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more
The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.
Answer:
7 ft ×6 ft
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W ft respectively.
Form 2 equations using the given information:
LW= 42 -----(1)
L= 3W -11 -----(2)
Substitute (2) into (1):
(3W -11)(W)= 42
Expand:
3W² -11W= 42
3W² -11W -42= 0
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
Applying quadratic formula:
[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]
[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]
[tex]W= \frac{ 11± 25}{6} [/tex]
W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)
Substitute W= 6 into (1):
L(6)= 42
L= 42 ÷6
L= 7
Thus the dimensions of the rectangle is 7 ft ×6 ft.
The coordinates of quadrilateral jklm plotted on a coordinate plane are j(-2,3), k(3,7), l(6,5) and m(1,1).
enter a number in the box to complete the sentence.he perimeter of the quadrilateral is 90units. round your answer to the nearest tenth.
The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.
What is the Perimeter of a Quadrilateral?Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.
Given the coordinates of quadrilateral JKLM as:
J(-2,3)K(3,7)L(6,5)M(1,1)Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .
JK = √[(3−(−2))² + (7−3)²]
JK = √41
JK ≈ 6.4 units
KL = √[(3−6)² + (7−5)²]
KL = √13
KL ≈ 3.6 units
LM = √(1−6)² +(1−5)²]
LM = √41
LM ≈ 6.4 units
JM = √(1−(−2))² + (1−3)²]
JM = √13
JM ≈ 3.6 units
Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.
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Hello I really needs some help this is algebra
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[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]
✳︎ 5-3x=-10. what is x?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
➪ First, subtract 5 on both sides:-
-3x=-10-5
❒ Which simplifies to:-
✩ -3x=-15
Divide by -3 on both sides:-
✩ x=5
So we conclude that the value of x is 5.
Good luck.
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-3(v+1)-3
What is the answer I really need help
Answer:
=-3v-6
Step-by-step explanation:
Distribute:
=(−3)(v)+(−3)(1)+−3
=−3v+(−3)+(−3)
Combine like terms:
=(−3v)+(−3+(−3))
=−3v+−6
=-3v-6
Hope this helps, this was easy!
please help- ive provided an image btw
Answer:
Just plug in the values and then calculate :[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]
[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]
---------- HappY LearninG <3 ------
Answer:
the answer is 34
Step-by-step explanation:
see the image
Helpppp pleaseeeee is
Answer:
Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)
a. (4/8 - 1/8)/(4/2 - 1/2)
3/8 / 3/2
3/8 x 2/3 = 2/8 = 1/4
y - 1/8 = 1/4(x - 1/2)
y - 1/8 = 1/4x - 1/8
y = 1/4x
b. (1400 - 1200)/(1000 - 500)
200/500 = 2/5
y - 1200 = 2/5(x - 500)
y - 1200 = 2/5x - 200
y = 2/5x + 1000
c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95
y - 13.95 = 13.95(x - 1)
y - 13.95 = 13.95x - 13.95
y = 13.95x
d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156
y = .16(x - 0)
y = .16x
or y = .156x
The art teacher, ms. garcia, gave each student half a sheet of paper. then she asked the students to color one fourth of their sheets of paper. what part of the original sheet did the students color?
The students will colour the 1/8th part of the sheet given to them by their teacher.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:-
The art teacher, ms. garcia gave each student half a sheet of paper. then she asked the students to colour one-fourth of their sheets of paperNow the sheet student have = 1 / 2
Students will colour 1/4th of the sheet they have = ( 1/2 x 1/4 )
= 1 / 8
Therefore the students will colour the 1/8th part of the sheet given to them by their teacher.
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Can you please help me. The question is in the attachment. THIS IS WORTH 15 POINTS
Answer:
Length = 14 and width = 7 cm,
Step-by-step explanation:
Let the width be x cm then the length is 2x cm
2x + 2(2x) = 42
6x = 42
x = 7
Length = 14 and width = 7.
Book-club members are required to buy a minimum number of books each year. Leslee bought 3 times the minimum. Denise bought 7 more than the minimum. Together, they bought 23 books. What is the minimum number of books?
Answer: 4 books
Step-by-step explanation:
x = minimum number of book
Leslee
= 3x (bought 3 times the minimum)
Denise
= x + 7 (bought 7 more than the minimum)
Together
= (3x) + (x + 7)
(3x) + (x + 7) = 23 (books they bought together)
3x + x + 7 = 23
3x + x = 23 - 7 (isolate the like variables together)
4x = 16 (divide both sides by 4)
x = 4
4 is the minimum number of books
To check:
3(4) + (4+7)
12 + 11 = 23
The diagram shows a cuboid 4cm 5cm 9cm what is the volume of the cuboid
Answer:
180cm cubed (the tiny three symbol)
Step-by-step explanation:
4 x 5 x 9
(4 x 5) x9
20 x 9
=180cm cubed
Please help with this! Thanks
a) The arrangement of 9 paintings can be done 9 ways.
b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
a) Here if she has 9 paintings so the number of the arrangements will be
[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]
b) The arrangement of the 4 out of 9 paintings will be
[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]
Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.
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A parabola can be drawn given a focus of (6, 0) and a directrix of y=8 Write the equation of the parabola in any form.
Answer:
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:
Step-by-step explanation:
What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predicts this? a. 0.2975 b. 0.0525 c. 0.0975 d. 0.5525 e. 0.6325
The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:
a. 0.2975.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, we have that the events are as follows:
Event A: Carbon emission beyond the permissible emission level.Event B: Test predicts this.We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:
[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]
[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]
Which means that option a is correct.
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PLEASE HELP! 20 POINTS!! PIC ATTACHED :)
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
What is the median of this data set?
{12, 8, 9, 12, 10, 13, 8}
The median of the data set is 10.
What is the median of the data set?Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. It is a measure of central tendency.
Data set = 8, 8, 9, 10, 12, 12, 13
Median = 10
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the median of this dataset?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
❖ First, arrange the data in the data set from least to greatest:-
[tex]\textsc{12, 8, 9, 12, 10, 13, 8}\mapsto\textit{8, 8, 9, 10, 12, 12, 13}[/tex]
Now, the median is the number in the middle, or
[tex]\textit{10}[/tex]
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