Answer:
Step-by-step explanation:
By zero product property,
Zeros of the given quadratic equation,
m² - 121 = 0
m² - (11)² = 0
(m + 11)(m - 11) = 0
m = -11. 11
Option C is the answer.
9x² - 3x - 2 = 0
9x² - 6x + 3x - 2 = 0
3x(3x - 2) + 1(3x - 2) = 0
(3x + 1)(3x - 2) = 0
x = [tex]-\frac{1}{3}, \frac{2}{3}[/tex]
Option B is the answer.
4x² + 2x - 6 = 0
2x² + x - 3 = 0
2x² + 3x - 2x - 3 = 0
x(2x + 3) - 1(2x + 3) = 0
(x - 1)(2x + 3) = 0
x = [tex]-\frac{3}{2},1[/tex]
Option A is the answer.
The model below is shaded to represent an expression. Which expression represnts the model?
Answer:
stop rushing me aaaaaaaaaahhhhhhhh
Step-by-step explanation:
What is the area in square meters of the trapezoid below
Answer:
69.3 meters squared
Step-by-step explanation:
1) Think of the shape as being divided into two sections (a rectangle and a triangle)
2) multiply 5.2 times 7 to find the area of the rectangle (36.4)
3) subtract 5.2 from 14.6 to find the base of the triangle (9.4)
4) multiply 9.4 by the height of the triangle 7 (65.8)
5) divide 65.8 by two because a triangle is half of the needed rectangle
6) this leaves 32.9
7) add 32.9 and 36.4 to get your final answer of 69.3 meters squared
hope this helps :)
which number is equivalent to
6^2×6^3
A. 150
B. 623
C. 327
D. 252
Answer:
150
Step-by-step explanation:
Rewrite as equivalent rational expressions with denominator (x+3)(x−4)(x+4)
An equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).
The given denominator are (x+3), (x−4) and (x+4).
What is a rational expressions?A mathematical expression that may be rewritten to a rational fraction, an algebraic fraction such that both the numerator and the denominator are polynomials.
Here, an equivalent rational expressions is
[tex]\frac{1}{x+3}+\frac{1}{x-4} +\frac{1}{x+4}[/tex]
The LCM of denominators is (x+3)(x-4)(x+4)
= (x+3)(x²-16)
= x(x²-16)+3(x²-16)
= x³-16x+3x²-48
= x³+3x²-16x-48
Now, [tex]\frac{(x-4((x+4)+(x+3)(x+4)+(x+3)(x-4)}{x^3+3x^2-16x-48}[/tex]
= (x²-16+x²+7x+12+x²-x-12)/(x³+3x²-16x-48)
= (3x²+6x-16)/(x³+3x²-16x-48)
Hence, an equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).
Learn more about the rational expressions here:
https://brainly.com/question/19585906.
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Francis surveyed a random sample of 70 7070 students at Franklin High School about their favorite season. Of the students surveyed, 18 1818 chose fall as their favorite season. There are 1816 18161816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Choose 1 answer: Choose 1 answer:
Answer:
467
Step-by-step explanation:
Determine the percentage of those sampled whose favourite season is fall
(18/70) x 100 = 25.7%
the sample is representative of the population of students. So, 25.7% of the students would like fall
number of students at Franklin High School whose favourite season is fall = 25.7% x 1816 = 466.7 students
rounding off to the nearest whole number gives 467
Answer:
467
Step-by-step explanation:
Given
BAI BD
mZCBD = 40 +52
m ABC = 82 - 10°
Find mZCBD:
B
D
Answer:
m∠CBD=68°
Step-by-step explanation:
BA is perpendicular to BD, meaning they form a right angle (90°)
This means m∠CBD + m∠ABC=90, or they are supplementary.
We have expressions given for these angles, so
4x+52+8x-10=90
12x+42=90
12x=48
x=4
Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.
4(4)+52=68
m∠CBD is 68°.
find the measure of each angle
Answer:
Step-by-step explanation:
m∠ 1 = 180 - 117
m∠ 1 = 63
m∠2 = the same as m∠ 1
m∠2 = 63
m∠3 is also the same b/c of the same length of the "legs" of the triangle
m∠3 = 63
WRITE AN EQUATION THAT MATCHES THE STORY!! Five students came for after-
school tutoring. Priya's teacher assigned each of them the same number of
problems to complete. Then she assigned 2 more problems to one of the
students. 27 problems were assigned in all.
Answer:
5 + 2 = 27
Step-by-step explanation:
Answer:
let's take s as student
let's take p as problem
sp as student that has gotten a problem
1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p
5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p
20sp + 1s × 7p
20sp + 7sp
27sp
8X=35
WHAT IS THE VALUE FOR X THAT MAKES THE EQUATION TRUE?
Answer:
x= 35/8 or 4 3/8
Step-by-step explanation:
8X=35
/8 /8
x= 35/8
x= 4 3/8
Kyle is going to the County Fair with his friends. It
costs $8 to get into the fair and then $2 for each
ride ticket. If Kyle spent $28 total, how many ride
tickets did he buy?
9514 1404 393
Answer:
10
Step-by-step explanation:
After spending $8, Kyle had $20 left to buy $2 ride tickets. He could buy ...
$20/$2 = 10 . . . tickets
__
An equation for the total Kyle spent is ...
total spent = (entry fee) + (ride cost) × (number of rides)
28 = 8 + 2n . . . . fill in the known values
20 = 2n . . . . . . . subtract 8
10 = n . . . . . . . . . divide by 2
Kyle bought 10 ride tickets.
Use the law of sines to find the value of a.
B
95°
D
40°
a
4.7 cm
С
sin(A)
a
sin(B)
Law of sines:
sin(C)
C
Answer:
Step-by-step explanation:
''he Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.''
The best approximation value of a by using sine rule is 3.0cm. so option C is correct.
What is sine rule?The sides and angles of non-right triangles are related according to the Law of Sines.
The relationship between the angles and lengths of the sides:
a/sinA = b/sinB = c/sinC
We know according to law of sines:
a/sinA = b/sinB = c/sinC
by putting the values we can write,
a/sin40° = 4.7/sin95°
a = (4.7 ×sin40°)/sin95°
= 3.032
by putting the value of Sin40° and Sin95°.
we get a = 3.03cm.
Approximation value of a is 3.0cm.
To know more about sine rule check:
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The complete question:
what is the best approximation of the value of a?
2.4 cm
2.7 cm
3.0 cm
3.3 cm
Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.
Someone help me pls thanks :)
Answer:
I think you need to add them.
Answer:
0.24
Step-by-step explanation:
Miles he drives: x
55.96+0.12x=49.96+0.16x
0.04x=6
x=0.24mi
FACTOR this trinomial: 2x^2+17x+35
**show step by step explanation or no brainliest**
Answer:
which class question ???????
Step-by-step explanation:
and which chapter...........
Answer:
(2x+7)(x+5)
Step-by-step explanation:
2 x ² + 17 x +35=2 x ² + 7 x + 10 x +35=x(2x+7)+5(2x+7)=(2x+7)(x+5)
Can someone help me please?
A textbook store sold a combined total of 447 sociology and psychology textbooks in a week. The number of psychology textbooks sold were 43 less than the number of sociology textbooks sold. How many textbooks of each type were sold
Answer:
404
Step-by-step explanation:
For the function f(x) = 3x ^ 2 - 8 what is the average rate of change on the interval from to 10?
A. 0.03
B. 28.4
C.30
D. 292
Answer:
C
Step-by-step explanation:
Start from left to right
Answer:
Step-by-step explanation: it is jedn
help ASAP with working if possible
Answer:
1. The volume of the cylinder is approximately 0.153 m³
2. 25 cm
3. [tex]25.\overline 6 \ cm[/tex]
4. 16 m
5. 1,785 m³
Step-by-step explanation:
The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid
1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top
The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m
The area of the circular cross-section, A = π·d²/4
∴ A = π × 0.5²/4 = 0.0625·π
A = 0.0625·π m²
The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m
∴ The volume of the cylinder, V = A × h
∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153
The volume of the cylinder, V ≈ 0.153 m³
2. The given volume of the trapezium, V = 8550 cm³
The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively
The height of the trapezium from the diagram, h = 18 cm
The cross-sectional area of the trapezium, 'A', is found as follows;
A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²
The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium
∴ l = V/A
By substitution, we have;
l = 8550 cm³/(342 cm²) = 25 cm
∴ The Missing Length, l = 25 cm
3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³
The area of the (uniform) cross-section of the solid, A = 15 cm²
∴ The length of the solid, 'l', from V = A × l, is given as follows;
l = V/A
∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm
The length of the solid, l = 25.[tex]\overline 6[/tex] cm
4. From the diagram, we have;
The cross-sectional area of the solid, A = 216 m²
The length of the solid, l = 16 m
5. The cross-section of the solid can can be assumed to be either;
1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.
2. A triangle located above a rectangle
For scenario one, we have;
The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25
For scenario two, we find 'A' as follows;
A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25
∴ The cross-sectional area of the solid, A = 89.25 m²
The length, 'l', of the solid, is given as l = 20 m
The volume of the solid, V = A × l
∴ V = 89.25 m² × 20 m = 1,785 m³
The volume of the solid, V = 1,785 m³.
At a glass vase factory, 2 out of the last 20 vases produced were chipped. Considering this data, how many of the next 10 vases would you expect to be chipped?
2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.
I would expect 1 out of the next 10 to be chipped.
Answer:
1
Step-by-step explanation:
15) Solve the equation: x(x – 2)(x – 7) = 0
A) x = 0, 2, or 7
B) x = 2 or 7
C) x = -2 or -7
D) x = 0, -2, or -7
16) Solve the equation: (x + 6)2 = 0
A) x = 6
B) x = -6
C) x = -6 or 6
D) x = 0, -6, or 6
17) Solve the equation: (x – 7)(x + 7) = 0
A) x = 7
B) x = -7
C) x = -7 or 7
D) x = 0, -7, or 7
18) Solve the equation: (x – 3)(x + 8) = 0
A) x = 0, 3, or -8
B) x = 3 or -8
C) x = -3 or 8
D) x = 0, -3, or 8
19) (x + 3) (5x + 17) = 0. Which values are solutions to this equation? Choose all that apply.
A) 0
B) -3
C) 3
D) 3.4
E) -3.4
20) Solve the equation: 6(2x + 19) = 0
A) 6 or 9.5
B) -9.5
C) 6
D) 6 or -9.5
funniest thing you'll see all day
Answer:
My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol
Step-by-step explanation:
Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews
Is (–3, –10) a solution to this system of inequalities? y ≥ 7x − 2 y < 4x + 7
Answer:
No, it is not a solution
Step-by-step explanation:
Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;
7x-2≤y<4x+7
Equate both values of y, the point of intersection occurs when;
7x-2 = 4x+ 7
7x - 4x = 7 + 2
3x = 9
x = 9/3
x = 3
Substitute x = 3 into y = 7x - 2
y = 7(3) - 2
y = 21 - 2
y = 19
Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect
The mean of a data set is 124. The mean absolute deviation is 38. What is the greatest possible number within the mean absolute deviation?
Answer:
Infinity
Step-by-step explanation:
The given parameters are;
The mean of the data, μ = 124
The mean absolute deviation = 38
The mean absolute deviation is given as follows;
[tex]Mean \ absolute \ deviation = \dfrac{\sum \left | X - \mu \right |}{N} = 38[/tex]
Where;
μ = Mean
X = Score
N = The number of scores
Therefore;
[tex]N \times 38 = \sum\limits_{i = 1}^N \left | X - \mu \right |} = \sum\limits_{i = 1}^N \left | X -124 \right |}[/tex]
When there are an infinite number of terms, N = ∞, the greatest possible number within the mean absolute deviation is therefore also infinite
[tex]\infty \times 38 = \sum\limits_{i = 1}^{\infty} \left | X - \mu \right |} = \infty[/tex]
[tex]Greatest \ possible \ value \ for \left | X - \mu \right |} = \infty[/tex]
PLEASE HELP RIGHT NOW ASAP IF CORRECT I WILL GIVE BRAINLIEST HELP NOW
Answer:
x^4
is the answer
Is this correct? Answer if you know the answer and correct me if I am wrong.
Answer: Is correct trust me.
Step-by-step explanation:
Find the circumference and area of each circle. PLEASE HELP!
Answer:
There are so many!
For circumference use = 2 pi r
For area use = pi r²
I have told only formula, else you may lack practice. try to solve yourself
Solve for the values of x and y:
y = 3x - 5 ........(i) and y = -x + 7 ........(ii)
Answer:
x= 3, y= 4
Step-by-step explanation:
y= 3x -5 -----(i)
y= -x +7 -----(ii)
Substitute (i) into (ii):
3x -5= -x +7
3x +x= 7 +5
4x= 12
x= 12 ÷4 (÷4 on both sides)
x= 3
Substitute x= 3 into (ii):
y= -3 +7
y= 4
Find the length of the third side. If necessary, write in simplest radical form.
Answer: 84 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
[tex]\sqrt{20}[/tex]
Step-by-step explanation:
Using the pathogrean Theroem we know that --->
a^2+b^2=c^2
In this picture we are given a and b so lets replace our values and solve
2^2+4^2=c^2 ---->
4+16=c^2
20=c^2
[tex]\sqrt{20}[/tex]
Math Question plz help
Answer: y = 4/5 - 6.2
y = mx + b
first get the 2 points and plug it in to the equation
y - y1 = m (x -x1)
y - 3 = 4/5 (x - 4)
y - 3 = 4/5x - 3.2
add 3 on both sides
y = 4/5 - 6.2
Step-by-step explanation:
plz help PLEASE.........
Answer:
7x² + 11x - 18
Step-by-step explanation:
13x² - 8 + 11x - 6x² - 10
13x² - 6x² + 11x - 8 - 10
7x² + 11x - 18
Angel está adaptando un espacio para hacer actividades recreativas en casa y quiere rodear el borde con plantas, cuántos metros mide el borde si la ecuacion para calcularlo es 2a+2b, donde a representa el ancho y b el largo del espacio, a=1 metro y b=2 metros
Answer:
El borde mide 6 metros.
Step-by-step explanation:
Sabemos que la ecuación para el borde está dada por:
borde = 2*a + 2*b
Si sabemos que:
a = 1 metro
y
b = 2 metros
podemos simplemente remplazar esos valores en la ecuación para el borde, asi obtendremos:
(es decir, donde hay una "a" en la ecuación, escribimos "1 metro", y end donde hay una "b" en la ecuación, escribimos "2 metros", luego resolvemos)
borde = 2*(1 metro) + 2*(2 metros) = 2 metros + 4 metros = 6 metros.
Podemos concluir que el borde mide 6 metros.