Solve the simultaneous equations.
Show all your working.
3x + 4y = 14
5x+2y=21
Answers
Step-by-step explanation:
hear is your answer in attachment
Related Questions
Identify the domain of the function shown in the graph. Need heal ASAP
Answers
Answer:
D
Step-by-step explanation:
the domain of the function is the boundaries in the X condition. using the graph we see X starts at 2 and ends at 7 so the domain is
[tex]2 \leqslant x \leqslant 7[/tex]
how do I solve this equation?
[tex]x + 8y = 20 \\ 2x + 4y = 4[/tex]
Answers
Answer:
Subtract x x from both sides of the equation. 8y=20−x 8 y = 20 - x. Divide each term by 8 8 and simplify.
Solve for x 2x-4y=4. 2x−4y=4 2 x - 4 y = 4. Add 4y 4 y to both sides of the equation. 2x=4+4y 2 x = 4 + 4 y. Divide each term by 2 2 and simplify.
2(-8y + 20) +4y = 4
-16y + 40 + 4y = 4
-12y +40=4
Subtract 40 from each side
-12y= -36
Divide both by -12
y = 3
Plug Y=3 in to find x
X + 8(3) = 20
X + 24 = 20
Subtract 24
x = -4
The slope of a line is -, and the y-intercept is 10/3. What is the equation of the line written in general form?
Answers
As slope is y=mx+b so substitute your slope for the coefficient of x and then add your y intercept to the end.
Will mark Brainlest hellpppp
Answers
[tex]h(-3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
Step-by-step explanation:
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8} [/tex]
How do you find the amplitude, period, and shift for f(x)=−4cos(3x−π)+1?
Answers
Answer:
(a) Amplitude = 4
(b) [tex]T = \frac{2\pi}{3}[/tex] --- Period
(c)
[tex]C = \frac{\pi}{3}[/tex] --- phase shift
[tex]D =1[/tex] --- vertical shift
Step-by-step explanation:
Given
[tex]f(x) = -4\cos(3x - \pi) + 1[/tex]
Rewrite the function as:
[tex]f(x) = -4\cos(3(x - \frac{\pi}{3}) + 1[/tex]
Solving (a): The amplitude
A cosine function is represented as:
[tex]f(x) = A\cos[B(x - C)] + D[/tex]
Where:
[tex]|A| \to Amplitude[/tex]
So, in this equation (by comparison):
[tex]|A| = |-4|[/tex]
[tex]|A| = 4[/tex]
The amplitude is 4
Solving (b): The period (T)
This is calculated as:
[tex]T = \frac{2\pi}{B}[/tex]
By comparison:
[tex]B =3[/tex]
So:
[tex]T = \frac{2\pi}{3}[/tex]
Solving (c): The shift
The phase shift is C
The vertical shift is D
By comparison:
[tex]C = \frac{\pi}{3}[/tex] --- phase shift
[tex]D =1[/tex] --- vertical shift
Helpppppppp thank u so much
Answers
Answer:
acute triangle
Step-by-step explanation:
First find the other angle
The sum of the angles is 180
x+65+60 = 180
x + 125 = 180
x = 180-125
x = 55
All three angles are different so all three side lengths are different
All the angles are less than 90 so all the angles are acute
This is an acute scalene triangle
Answer:
im is 55 so the only correct option is c
Step-by-step explanation:
hope this helps! have a great day!!
Calculate the unit price. Round to the nearest cent, if necessary.
0.75 lb of salami for $2.65
$4.64 per lb of salami
$2.65 per lb of salami
$3.53 per lb of salami
$1.99 lb of salami
per
Answers
Answer:
$3.53 per lb of salami
Step-by-step explanation:
0.75 lb of salami for $2.65
The price per of salami will be :
0.75 lb = $2.65
1 lb = x
Using cross multiplication :
0.75 * x = $2.65 * 1
0.75x = $2.65
Divide both sides by 0.75
0.75x / 0.75 = $2.65 / 0.75
x = $3.533
This means that :
The price per unit of salami is $3.53
Answer:
0.75 lb of salami for $2.65 is $3.53 per lb of salami.
Please help
A. B.C. D
Answers
If x = 82°, find the measures of angles 1, 2, and 3
Answers
Answer:
98
Step-by-step explanation:
x(o) + 1(o) = 180(o)
∠2° = ∠x°
∠1° = ∠3°
Answer:
angle 2 is 82 also and angle 3 and 4 is 180 - 82 = 98
The area of a triangular sign is 6x² + 24x What is the measure of the base? (View attachment)
Answers
Answer:
[tex]2x + 8[/tex]
Step-by-step explanation:
Area of triangle equal
[tex] \frac{b \times h}{2} = a[/tex]
where b is the base and h is the height.
Plug in what we know.
[tex] \frac{b \times 6x}{2} = 6 {x}^{2} + 24x[/tex]
Multiply 2 by both sides.
[tex]b \times 6x = 2(6 {x}^{2} + 24x)[/tex]
Divide 6x by both sides.
[tex]b = \frac{12 {x}^{2} + 48x }{6x} = 2x + 8[/tex]
mary is 1 m 15 cm tall. her friend larry is 1 m 30 cm tall. who is taller and by how much?
Answers
Answer:
Mary's friend Larry is taller by 15cm.
Step-by-step explanation:
First look for the bigger number.
Then subtract the smaller number from the bigger number.
25. Approximate the sample variance and standard deviation given the following frequency distribution: Class Frequency 0–9 13 10–19 7 20–29 10 30–39 9 40–49 11
Answers
Sample variance = 228.408
Standard deviation = 15.113
Step-by-step explanation:The well formatted frequency table has been attached to this response.
To calculate the sample variance and standard deviation of the given grouped data, follow these steps:
i. Find the midpoint (m) of the class interval.
This is done by adding the lower bounds and upper bounds of the class intervals and dividing the result by 2. i.e
For class 0 - 9, we have
m = (0 + 9) / 2 = 4.5
For class 10 - 19, we have
m = (10 + 19) / 2 = 14.5
For class 20 - 29, we have
m = (20 + 29) / 2 = 24.5
For class 30 - 39, we have
m = (30 + 39) / 2 = 34.5
For class 40 - 49, we have
m = (40 + 49) / 2 = 44.5
This is shown in the third column of the attached table.
ii. Find the product of each of the frequencies of the class intervals and their corresponding midpoints. i.e
For class 0 - 9, we have
frequency (f) = 13
midpoint (m) = 4.5
=> f x m = 13 x 4.5 = 58.5
For class 10 - 19, we have
frequency (f) = 7
midpoint (m) = 14.5
=> f x m = 7 x 14.5 = 101.5
For class 20 - 29, we have
frequency (f) = 10
midpoint (m) = 24.5
=> f x m = 10 x 24.5 = 245
For class 30 - 39, we have
frequency (f) = 9
midpoint (m) = 34.5
=> f x m = 9 x 34.5 = 310.5
For class 40 - 49, we have
frequency (f) = 11
midpoint (m) = 44.5
=> f x m = 11 x 44.5 = 489.5
This is shown in the fourth column of the attached table.
iii. Calculate the mean (x) of the distribution i.e
This is done by finding the sum of all the results in (ii) above and dividing the outcome by the sum of the frequencies. i.e
x = ∑(f x m) ÷ ∑f
Where;
∑(f x m) = 58.5 + 101.5 + 245 + 310.5 + 489.5 = 1205
∑f = 13 + 7 + 10 + 9 + 11 = 50
=> x = 1205 ÷ 50
=> x = 24.1
Therefore, the mean is 24.1
This is shown on the fifth column of the attached table.
iv. Calculate the deviation of the midpoints from the mean.
This is done by finding the difference between the midpoints and the mean. i.e m - x where x = mean = 24.1 and m = midpoint
For class 0 - 9, we have
midpoint (m) = 4.5
=> m - x = 4.5 - 24.1 = -19.6
For class 10 - 19, we have
midpoint (m) = 14.5
=> m - x = 14.5 - 24.1 = -9.6
For class 20 - 29, we have
midpoint (m) = 24.5
=> m - x = 24.5 - 24.1 = 0.4
For class 30 - 39, we have
midpoint (m) = 34.5
=> m - x = 34.5 - 24.1 = 10.4
For class 40 - 49, we have
midpoint (m) = 44.5
=> m - x = 44.5 - 24.1 = 20.4
This is shown on the sixth column of the attached table.
v. Find the square of each of the results in (iv) above.
This is done by finding (m-x)²
For class 0 - 9, we have
=> (m - x)² = (-19.6)² = 384.16
For class 10 - 19, we have
=> (m - x)² = (-9.6)² = 92.16
For class 20 - 29, we have
=> (m - x)² = (0.4)² = 0.16
For class 30 - 39, we have
=> (m - x)² = (10.4)² = 108.16
For class 40 - 49, we have
=> (m - x)² = (20.4)² = 416.16
This is shown on the seventh column of the attached table.
vi. Multiply each of the results in (v) above by their corresponding frequencies.
This is done by finding f(m-x)²
For class 0 - 9, we have
=> f(m - x)² = 13 x 384.16 = 4994.08
For class 10 - 19, we have
=> f(m - x)² = 7 x 92.16 = 645.12
For class 20 - 29, we have
=> f(m - x)² = 10 x 0.16 = 1.6
For class 30 - 39, we have
=> f(m - x)² = 9 x 108.16 = 973.44
For class 40 - 49, we have
=> f(m - x)² = 11 x 416.16 = 4577.76
This is shown on the eighth column of the attached table.
vi. Calculate the sample variance.
Variance σ², is calculated by using the following relation;
σ² = ∑f(m-x)² ÷ (∑f - 1)
This means the variance is found by finding the sum of the results in (vi) above and then dividing the result by one less than the sum of all the frequencies.
∑f(m-x)² = sum of the results in (vi)
∑f(m-x)² = 4994.08 + 645.12 + 1.6 + 973.44 + 4577.76 = 11192
∑f - 1 = 50 - 1 = 49 {Remember that ∑f was calculated in (iii) above}
∴ σ² = 11192 ÷ 49 = 228.408
Therefore, the variance is 228.408
vii. Calculate the standard deviation
Standard deviation σ, is calculated by using the following relation;
σ =√ [ ∑f(m-x)² ÷ (∑f - 1) ]
This is done by taking the square root of the variance calculated above.
σ = [tex]\sqrt{228.408}[/tex]
σ = 15.113
Therefore, the standard deviation is 15.113
Can someone please please please help me? I need this to be correct or else I’m gonna be grounded for the rest of the summer…
The difference between two numbers is 28. The first number is three times the other number. What are the numbers?
A. 14 and 42
B. 26 and 42
C. 14 and 14
D. 15 and 43
No links or fake answers please
Answers
Answer:
A
Step-by-step explanation:
42-14=28
Answer:
A. 42 and 14
Step-by-step explanation:
first number = x
second number = y
x - y = 28
3x - x = 28
(y is now x because it says the second number is whatever x was, but three times less)
x = 14
3(14) - (14) = the original number, 28
PLEASE HELP ME
WITH STEPS
Answers
Answer:
,(i) answer is 203,918
(ii)answer is227,306.36
9x5
pls help meeeeeeeeee
Answers
Answer:
45
hope this helps
Answer:
45
Step-by-step explanation:
9x5=45
What is the HFC of the following: 4 (x2-x+1) and 28 (x3+1)?
Answers
Your Answer is in the above image.
help me please if you can't don't touch it
Answers
Answer:
option B : 31.4 cm
Step-by-step explanation:
Given radius , r = 5cm
Circumference = [tex]2 \pi r[/tex]
= 2 x 3.14 x 5
=10 x 3.14
= 31.4 cm
Answer:
b. 31.4
Step-by-step explanation:
The radius of the circle can be plugged into C=(pi)2r. So 5x2= 10 and 10x(pi)= 31.4
PLEASE HELP
If the absolute value represents the distance from zero, can we have a negative distance?
Answers
Answer:
No, you cannot have a negative distance.
Step-by-step explanation:
No, you cannot have a negative distance.
Let's say you were asked for the absolute value of -4. How many units is -4 away from 0? The answer would be 4. There is no negative distance from 0.
Hope this helps, please mark brainliest! :)
A gardener wants to plant 875 roses in the garden. Can he plant them in rows having 7 plants each without any plants left? Justify your answer. *
Answers
Answer:
Yes
Step-by-step explanation:
875 roses / 7 plants per row
875 / 7 = 125 rows, which is a whole number, meaning nothing is left over
9. Use the Distributive Property to simplify (-5 - c)(-1).
a 5 - C
b C
c-5 + c
d 5 + C
Answers
Answer:
D. 5 + c
Step-by-step explanation:
( - 5 - c ) ( - 1 )
use distributive property ; to multiply -5 and - c by -1.
= -1 × - 5 - ( +1 ) × - c= 5 + cWhich expression is equivalent to -6(-⅔+2x)?
O-4-12x
O-4+ 2x
O 4-12x
O 4+ 12x
Answers
Answer:
4-12x
Step-by-step explanation:
opening the brackets;
(-6×-2/3)- 12x
-2×-2 -12x
4-12x
Answer:
4 - 12x
Step-by-step explanation:
We can find an equivalent expression by distributing
-6(-⅔+2x)
Distribute by multiplying -6 times what's inside of the parenthesis ( -2/3 and 2x )
-6 * -⅔ = 4
-6 * 2x = -12x
We would be left with 4 - 12x
ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=1). write your answer as a fraction.
Answers
Explanation:
P(T = 1) is the notation that means "The probability of getting exactly one tail". The table shows 3/8 in the bottom row, under the "1" in the top row. So that's why P(T = 1) = 3/8
Or it might make more sense to say P(one tail) = 3/8 so we don't have too many equal signs going on.
Nine subtracted from four times a number is -21 what is the number?
Answers
Answer:
-3
Step-by-step explanation:
My knowledge ;D
Which system of equations is represented by the matrix below?
54 5-167
7 -4 23
O A. x+ 5y = -16
x - 4y = 23
OB. 4x + 5y = -16
7x - 4y = 23
C. 4x + 5y = -16
7x + 4y = 23
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
In order for the matrix to represent the equations, the coefficients in the equations need to match the terms in the matrix. That is only the case for choice B.
__
Details are important in math.
22 hours. A
Silas ran 100 m race at a speed of 8 m/s. How long did it take him to com-
plete the race?
Answers
Answer:
100/8 = 12.5 (s)
Step-by-step explanation:
hmm bro
Answer:
[tex]{ \boxed{ \tt{formular : { \bf{ \green{time = \frac{distance}{speed} }}}}}} \\ time = \frac{100}{8} \\ { \boxed{time = 12.5 \: seconds}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
Which of the following phrases are expressions?
Answers
Answer:
C ,D , E just follow it . thank me later if its right
Answer:
E
Step-by-step explanation:
(10+7)(50+1)
=17×51
=867
Somebody help me with this
Answers
Multiply(distribute) (x2-x+7) with (3x2+4x-2) and combine like terms.
Answer:
3x4 +x3+ 15x2+30x-14
Step-by-step explanation:
Un recipiente cilíndrico tiene un diámetro de 160cm. y la misma altura. ¿Cuánto litros de agua puede caber?
Answers
Respuesta:
3215360 cm³
Explicación paso a paso:
Dado que :
Radio = 160/2 = 80 cm
Altura, h = 160 cm
Volumen de un cilindro = πr²h
Volumen del cilindro = π * 80² * 160
Volumen = 3215360 cm³
plzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeee
i do anything just help
1.) Create a table of x and y values that represents a proportional relationship.
a) Explain how you know the relationship is proportional.
b) What equation models the values in the table?
2) Create a table of x and y values that represents a linear, non-proportional relationship.
a) Explain how you know the relationship is non-proportional.
b) What equation models the values in the table?
Answers
Answer:
Table could be first x = 2, y = 4, then x = 4, y = 8. It is proportional because both (x,y) values equal 1/2. The equation is x = 1/2y. Last, the table could be the same, or you could do first, x = 6, y = 12, then x = 12, y = 24, because they still equal 1/2.
Step-by-step explanation:
find the value of tan 45° + sin 30°
Answers
Answer:
I think it's approximately 44°