The domain is all real numbers, and the range is all real numbers less than or equal to 4.
How to determine the true statement?The equation of the function is given as:
f(x) = -(x + 3)(x -1)
The above function is a quadratic function, and the domain of a quadratic function is the set of all real numbers
Expand the function
f(x) = -(x² + 3x - x - 3)
f(x) = -(x² + 2x - 3)
Expand
f(x) = -x² - 2x + 3
Differentiate
f'(x) = -2x - 2
Set to 0
-2x - 2 = 0
Add 2 to both sides
-2x = 2
Divide through by -2
x = -1
Substitute x = -1 in f(x)
f(-1) = -(-1 + 3)(-1 -1)
Evaluate
f(-1) = 4
This means that the maximum value of the function is 4
Hence, the domain is all real numbers, and the range is all real numbers less than or equal to 4.
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Answer: C: The domain is all real numbers, and the range is all real numbers less than or equal to 4.
Step-by-step explanation: EDGE 2022
A science test, which is worth 100 points, consists of 24 questions. E
points. If x is the number of 3-point questions and y is the number of
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions
The test contains 4 three-point questions and 20 five-point ques
The test contains 10 three-point questions and 14 five-point que
The test contains 14 three-point questions and 10 five-point qu-
O The test contains 20 three-point questions and 8 five-point que
Answer:
B
Step-by-step explanation:
actually the question is about to solve x and y
x + y = 24, x = 24 - y, put into the other equation
3x + 5y = 100
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
2y = 28
y = 14
x = 24 - 14 = 10
no. of 3 point question = 10, no. of 5 point question = 14
what is 73 divided by 8 equal in remainder???
Answer:
9 remainder 1
Step-by-step explanation:
Not sure but uh... 73/8=9 remainder 1.
Is this what you are looking for?
73 divided by 8 equals 9 with a remainder of 1.
To find the quotient and remainder when dividing 73 by 8, we perform long division.
Here's how it works:
We start by dividing the first digit of the dividend (7) by the divisor (8). Since 7 is smaller than 8, the quotient will be 0, and the remainder will be 7.
We bring down the next digit from the dividend, which is 3, making the new number 73.
Now, we divide 73 by 8. The largest multiple of 8 that fits into 73 is 9 (8 times 9 equals 72). So, the quotient becomes 9.
We subtract 72 (8 times 9) from 73, resulting in a remainder of 1.
Therefore, 73 divided by 8 equals 9 with a remainder of 1.
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Find the solution(s) to (x+ 3)2 = 49. Check all that apply.
. A. x= -10
] B. X =-7
C. x =4
. D. x =7
0 E.X=-4
Answer:
A) x - = -10
C) x = 4
Step-by-step explanation:
(x + 3)² = 49
(x + 3)² = 7²
Take square root both sides,
[tex]\sf \sqrt{(x + 3)^2}=\sqrt{7^2}[/tex]
x + 3 = ± 7
x + 3 = +7 ; x + 3 = -7
x = 7 - 3 ; x = -7 -3
x = 4 ; x = -10
x = 4 , -10
Can someone explain
Answer:
See below ~
Step-by-step explanation:
Applying the rule (x - 5, y - 3) to the coordinates :
The coordinates are :
(2 - 5, -3 - 3) = (-3, -6)(2 - 5, 2 - 3) = (-3, -1)(5 - 5, -3 - 3) = (0, -6)(5 - 5, 2 - 3) = (0, -1)As evidenced by the rule :
The rectangle is translated 5 units to the left and 3 units down.
Which graph models Y<1/2|X-2|
Answer:
Which graph models Y<1/2|X-2| ...........no.2
Math question 10 points
Answer: 31
Step-by-step explanation:
C = 18w + 53
611 = 18w + 53
- 53 -53
558 = 18w
divide both sides by 18.
558 / 18 = 31
Please do provide a correct answer because other ways I will report/block you. Please be honest and help me, please.
Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team. The principal uses a computer to randomly select the name of a student from all the students in the school. With the computer program, it is possible to draw the name of the same student twice. If the principal selects the name of a student from the Acres on the first try, what is the probability she will draw the name of a student from the Acres on the second try?
A. 1/78
B.38/399
C.19/100
D.39/200
Answer:
incomplete
Step-by-step explanation:
please send the full information, I can't see students belonging to acers
A triangular prism is 18 inches long and has a triangular face with a base of 16 inches and a height of 15 inches. The other two sides of the triangle are each 17 inches. What is the surface area of the triangular prism?
Answer:
16+ inches i think
Step-by-step explanation:
beacuse the with is 16 meanimg it nedds to be the same or bigger
Lucy is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?
The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
What is permutation and combination?A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.
We have:
Total number of outcomes for pyramid = 4
Total number of outcomes for spinner = 5
Total outcomes = 4×5 (multiplication rule of counting)
= 20
Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
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PLSSS HELP I WILL AWARD BRAINLIEST
Answer:
A) f(x) = |x|
B) f(x) = -|x+3| + 3
Step-by-step explanation:
Absolute value functions
The general form of an absolute value function is f(x) = a|x-b| +c
a indicates the 'amplitude' or multiplier
b indicates horizontal shift
c indicates vertical shift
The turning point of f(x) = |x| is (0, 0)
a = y/x when b = 0 and c = 0
A) f(x) = |x|
Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0
We have the point (2, 2), thus a = 2/2 = 1
f(x) = a|x-b| + c
f(x) = |x|
B) f(x) = -|x+3| + 3
The turning point is at (-3, 3) b = -3 and c = +3
We have the point (3, -3), thus a = y/x = -3/3 = -1
f(x) = a|x-b| + c
f(x) = (-1) (|x-(-3)|) + (+3)
f(x) = -|x+3| + 3
how could lola solve this colored pencil problem quickly?
Answer:
use a ruler.
Step-by-step explanation:
Carl is trying to determine the length of segment mn using the pythagorean theorem. on a coordinate plane, line m n has points (negative 3, 1) and (4, negative 4). step 1: find the vertex of a possible right triangle. v(4, 1) step 2: find the leg lengths of the right triangle. nv = 7, mv = 5 step 3: substitute the values into the pythagorean theorem. 7 squared 5 squared = c squared step 4: solve for c. 7 squared 5 squared = c squared. 49 25 = c squared. 74 = c squared. startroot 74 endroot = c. which best describes the accuracy of carl’s solution? carl’s work and answer are both entirely correct. carl’s answer is correct, but he incorrectly labeled the leg lengths in step 2. carl’s work and answer are incorrect. he choose a vertex, v, that does not make a right triangle with mn. carl’s work and answer are incorrect. he substituted and solved incorrectly.
The option that describes the accuracy of Carl's solution in the Pythagoras is C. Carl's work is correct but he incorrectly labeled the leg lengths in step 2.
What is Pythagoras?It should be noted that a Pythagoras theorem is a theorem that states that the sum of the squares that are on the leg of a right angle will be equal o the square of the hypotenuse.
In this case, the steps given show that Carl's work is correct but he incorrectly labeled the leg lengths in step 2.
Therefore, the correct option is C.
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Answer:
c
Step-by-step explanation:
Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.
Pleassere helppppp meeeee
can someone help me with this? I dont get how to do it. Thank you!
Answer:
V = 162 ft³
Step-by-step explanation:
given 2 similar figures with ratio of sides a : b , then
ratio of volumes is a³ : b³
here ratio of sides = 3 : 1 , then
ratio of volumes = 3³ : 1³ = 27 : 1
this means that the volume of figure A is 27 times the volume of figure B
volume (V) of figure A is then
V = 27 × 6 = 162 ft³
A triangle has sides with lengths of 14 meters, 16 meters, and 20 meters. Is it a right triangle?
Answer:
No, it is not a right triangle.
Using the Pythagorean theorem the longest side would need to be 21.26 meters , not 20, in order to be a right triangle.
100 POINTS NEED IMMEDIATLY PLEASE HELP!!!
Determine the approximate ordered pair for f(x) = g(x).
There is a screenshot that I have attached and here are the options that you can answer:
(3, 12)
(3, 18)
(12, 3)
(18, 3)
The approximate ordered pair is the coordinate where both functions graph intercect
That's can be found only by observing graph.
As we observe we find that
The coordinate at where f(x)=g(x) is (3,18)
It means that
at this the values of both the functions are equal
i.e
f(3)=g(3)=18Answer:
b) (3, 18)
Step-by-step explanation:
f(x) = g(x) at the point where the two lines intersect.
From inspection of the graph, we can see that the x-value of the point of intersection is between 0 and 10. Therefore, from the options given, it must be x = 3 (since 12 > 10 and 18 > 10).
From inspection of the graph, we can see that the y-value of the point of intersection is between 10 and 20, but it's nearest to 20 than it is 10. Therefore, from the options given, it must be y = 18.
Therefore, the approximate ordered pair is (3, 18)
please help. i have test tomorrow and i need to know how to do this.
Answer:
Answer is D
Just expand
And remember
[tex] \sqrt{ - a} = \sqrt{a} i[/tex]
Goodluck tomorrow
Maria walked 3/4 of a mile. Cody walked 6/10 of a mile. How much farther did Maria walk than Cody?
Answer:
She walked 3/20 more than Cody
Step-by-step explanation:
6/10 = 12/20, 3/4 = 15/20. 15/20 - 12/20 = 3/20
Answer:
3/4 = 15/20
6/10 = 12/20
15/20 > 12/20
Maria walked a further distance of 3/20 miles than Cody.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer answer please please
Answer:
b
Step-by-step explanation:
you have to solve each equation to find the smallest to largest.
Answer: it is choice b . The second choice is correctly ordered from greatest to largest .
HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
please solve 14 and 15 only
i will mark brainliest!!!!
Answer:
see explanation
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle
-------------------------------------------
(14)
∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then
∠ 1 = 180° - 58° = 122°
∠ 2 + ∠ 3 = ∠ 4
∠ 2 + 32° = 58° ( subtract 32° from both sides )
∠ 2 = 26°
∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°
∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°
(15)
∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°
∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°
∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°
∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°
The area of a triangle that has a base of 7 and a height of 17 is:
Answer:
59.5
Step-by-step explanation:
First we have to multiply 7 by 17 (7x17).
Then you have to divide it by 2.
1/2 X base x height
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B. 5/8
Step-by-step explanation:
To find this you will want to find what the 2 denominators have in common. In this instance if you multiply 4 by 2 you will get 8. Once you find what you can do to get the same denominators you will multiply the numerator with the same number as the denominator. So 4x2 and 1x2 gives us 2/8 as our new fraction. After this adding fractions is much simplier. It's as simple as adding the numerators together and keeping the denominator as the same. 3/8 + 2/8 = 5/8.
Help me oh please!!!!!!!!
Answer:
[tex]\frac{23a^2+6}{12a^2}[/tex]
Step-by-step explanation:
hope this helps:)
Which is the value of Sin^2 51+Cos ^2 51 ?
Answer:
1
Step-by-step explanation:
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
Here, both of these angles are 51 so they will be equal to 1.
verify the theorm proved above for p=2,p=5 and for a^2=1, 4,9,25,36,49,64 and 81
Theorem : Let p be a prime number. If p divides a² , (where a is a positive integer), then p divides aLet say prime factors of a area = p₁ , p₂ , p₃ ........., pₓ where p₁ to pₓ are prime numbera = (p₁ × p₂ × p₃ ×.........× pₓ)a² = (p₁ × p₂ × p₃ ×.........× pₓ) (p₁ × p₂ × p₃ ×.........× pₓ)if p divides a² then it is one of (p₁ × p₂ × p₃ ×.........× pₓ)as a = (p₁ × p₂ × p₃ ×.........× pₓ) so p divides aVerification forp = 2, p = 5 and for a square = 1, 4, 9, 25, 36, 49, 64 and 81.2 is factor of 4 , 36 & 642 is factor of 2 , 6 & 85 is factor of 255 is a factor of 5 also
Supervisor: "you took 500 calls in 30 days." representative: "that means i took an average of __________ calls per day. i'm pretty pleased with that."
Answer:
an average of around 16 calls per day
Step-by-step explanation:
Simply divide 500 by 30 and that comes out to 16.66666
But because you cannot take half a call you just use 16 as your answer!
please help me!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
the area of a rectangle is always
length × width
so, here we have
8x³y³z⁷ × 7x³y⁸z⁴
since we don't have further information about the variables, we can't calculate a specific number, but we can simplify the result expression.
remember, factors with the same base can be combined (when multiplying terms of the same variable by different exponents, we summit add the exponents).
and multiplication is freely commutative : the sequence of factors does not matter.
8x³y³z⁷ × 7x³y⁸z⁴ = 8×7 × x³x³ × y³y⁸ × z⁷z⁴ =
= 56x⁶y¹¹z¹¹
There's supposed to be 2 ansers for x, by the way
Answer:
x = 143° and x = 323°Step-by-step explanation:
Solving
3tanx = -4tanx = -4/3tan values are negative in the 2nd and 4th quadrantThe base value is x = 53°In Quadrant II,
90° + 53°⇒ x = 143°In Quadrant IV,
270° + 53°⇒ x = 323°Now
we know tan53=4/3
But it's negative
So tan is either in 2nd or 4th quadrant
For 2nd Quarter
x=π/2+53=90+53=143°For 4th quadrant
x=3π/2+53=270+53=323°79 x 31 rounding or compatible numbers . show how you estimate
Answer:
80 × 30 = 2,400
Step-by-step explanation:
We can easily round 79 up to 80 and round 31 down to 30. This would make our expression 80 × 30, which is much easier to compute. We just take 8 × 3 (which is 24) and add two zeros onto the end of the number. This yields us an answer of 2,400 which is very close to the actual multiplication of 79 × 31 which is 2,449 (only 49 more than our estimation).
What is the diameter of the circle if the circumference is 18.8 cm round to the nearest tenth
Answer:
d= 6
Step-by-step explanation:
radius r = 2.9921129301276 cm
diameter d = 5.9842258602553 cm
circumference C = 18.8 cm
area A = 28.1258615432 cm2
Diameter of circle is 6cm, if the circumference is 18.8 cm
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.
The formula to find circumference is
C=2pi r
Given circumference is 18.8 cm, we need to find diameter.
To find diameter first we need to find radius
18.8=2×3.142×r
18.8=6.284r
Divide both sides by 6.284
r=2.99
We know that Diameter is two times of radius
d=2r
d=2×2.99
d=5.98=6
Hence diameter of circle is 6cm, if the circumference is 18.8 cm
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