Answer:
x is equal to -2, and y is equal to 2.
Step-by-step explanation:
You can solve this type of question by solving one of the equations for a given variable, and substituting it into another.
Because both of these are definitions of y, we could simply say, y = y, and thus:
x + 4 = -2x - 2
3x = -6
x = -2
This tells us also that y, being equal to x + 4, must equal 2
We can find the same solution by solving one of them for x, then substituting that into the other. We know:
y = x + 4
so we can also say:
x = y - 4
If we substitute that into the other:
y = -2x - 2
y = -2(y - 4) - 2
y = -2y + 8 -2
3y = 6
y = 2
which we can then plug into either of the original equations to solve for x:
y = x + 4
2 = x + 4
x = -2
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Answer: its 3x+20 to my calculations
Step-by-step explanation:
27. The traffic officer issued violation tickets to traffic
violators. If 68 of them composed 80% of the total
violators, how many violators are there in all?
A. 83
B. 84
C. 85
D. 86
28. There are 18 roses in a bunch of 24 flowers.
What percent of the flowers are roses?
A. 18%
B. 24% C. 60% D. 75%
29. A number is 20% of 50. What percent it is to
200?
A. 5%
B. 10% C.15% D. 20%
Please help
I really need it I'm gonna give u Brainliest
Answer:
27. C
28. D
29. A
Factor the expression. Rewrite the
expression by factoring the Greatest
Common Factor GCF.
32xy + 24x
GCF
Answer:
8x(4y+3)
Step-by-step explanation:
32xy+24x
GCF is 8x, so factor that out
8x(4y+3)
distribute to check,
32xy+24x
2.
(02.05 MC)
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
P' = 1/3 P
reflection in the y-axis just changes the sign of all the x-values.
Since P" ≅ P', and P' is smaller than P, P" cannot be ≅ to P
It is, however, similar to P.
Answer:
P' = 1/3 P
Step-by-step explanation:
Reflection in the y-axis just changes the sign of all the x-values. Since P" ≅ P', and P' is smaller than P, P" cannot be ≅ to P . It is, however, similar to P.
Good luck!!
2 x + 2y = 12 2x x - 2y = 6
Answer:
y = [tex]\frac{x}{2}[/tex] - 3
y = - [tex]\frac{x}{4}[/tex] + 6
Step-by-step explanation:
is (x-4) a factor of 2x^4-9x^3-20x^2+147x-180? find out by using the factor theorem.
Answer: (x-4) is not a factor of the given polynomial.
===================================================
Explanation:
Rule: If (x-k) is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem. We can take this in reverse to say that if p(k) = 0, then (x-k) must be a factor of p(x).
In this case, we have k = 4 and we can find that:
p(x) = 2x^4-9x^3-20x^2+147x-180
p(4) = 2(4)^4-9(4)^3-20(4)^2+147(4)-180
p(4) = 24
The result we get is not zero, so that means (x-4) is not a factor of p(x).
Can someone help me with this plz??
Answer:
f(-3) = -2(-3)^3 - 3
f(-3) = 54 - 3
f(-3) = 51
g(3) = -5(3) + 4
g(3) = -15+4
g(3) = -11
Hope this helps!
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.
base+perimeter
20mm+60mm
=80mm
I need help with this
Answer:
The length of AB is 18
Step-by-step explanation:
Do the pygotham theorem
24^2 + 7^2 = 625
Square root the answer
[tex]\sqrt{625}[/tex] = 25
Line BO equals 7 because CO is 7 and they are both radiuses
Subtract the answer to the length BO
25 - 7 = 18
18 is the length of AB bro
Find the logarithm of 2025 to the base 3√5
Answer:
3.99 ≈ 4
Step-by-step explanation:
I wish this is correct
Given p || q and ∠4 = 130°, find the measure of angles 1, 2, 3, 5, 6, 7, and 8. Label on the diagram.
I NEED HELP ASAP
Solve | 2x - 6 | = |x| by graphing
Answer:
X=2 & X=6
Step-by-step explanation:
If you graph the equation (I recommend using desmos) you can see that X equals 2 & 6.
"Two planes leave the airport at the same time. Plane 1 travels just 9 miles east from
the airport while Plane 2 travels 40 miles north from the airport. What is the diagonal
distance from plane 1 and 2?"
(iii) A relation between a and b such that point (a,b) isequidistant from the points (8,3) and (2,7)
Answer:
7.21 units
Step-by-step explanation:
GIven data
Point 1= (8,3)
x1= 8
y1= 3
Point 2= (2,7)
x2= 2
y2= 7
The expression for the distance between two points is given as
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((2-8)²+(7-3)²)
d=√((-6)²+(4)²)
d=√36+16
d=√52
d= 7.21
Hence the distance between the points is 7.21 units
Solve for X: |x-7|=8
Please help
Answer:
x=1
Step-by-step explanation:
remember ll means absolute value
the absolute value of x is x and the absolute value of -7 is 7
now we have x+7=8
step 1 subtract each side by 7
7-7 cancels out
8-7=1
we're left with x = 1
On a BWIA flight, 2/3 of the
passengers are from Trinidad.
If there are 189 passengers
altogether, how many were
from Trinidad?
Answer:
126 passengers from Trinidad.
Step-by-step explanation:
Given that,
On a BWIA flight, 2/3 of the passengers are from Trinidad.
Total passengers = 189
We need to find how many were from Trinidad. It can be calculated by finding 2/3 of 189 such that,
[tex]P=\dfrac{2}{3}\times 189\\\\=126[/tex]
Hence, there were 126 passengers from Trinidad.
Can you help me image is here which 2 should I Drag
Graph the equations to solve the system y= -2x+1 y= -x +4
Answer:
(-3, 7)
General Formulas and Concepts:
Algebra I
Functions
Graphing
Reading a Cartesian PlaneCoordinates (x, y)Solving systems of equations by graphing
Step-by-step explanation:
Where the 2 equations intersect is the solution to the systems of equations.
3) Josie's collection of 39 coins includes twice as many nickels than quarters. If
the sum of the nickels and quarters is $4.55, How many quarters does Josie
have in her collection?
Answer:
13 quarters, 26 nickels.
Step-by-step explanation:
n will be number of nickels, q will be number of quarters, and we have 39 total coins
so n + q = 39 (number of nickels + number of quarters = 39 coins.
The problem also says there are twice as many nickels as quarters. so we can call the number of nickels n or we can call it 2q (2 times the number of quarters)
which means
n + q = 39
2q + q = 39
3q = 39
q = 13
and she has 2 times as many nickels as quarters... 2 x 13 = 26 nickels
LMK if you have questions.
If you want to double check the money,
n(0.05) + q(0.25) = 4.55 is the equation to use.
26(0.05) + 13(0.25) = 1.3 + 3.25 = $4.55
.On 1st March 2001, the ratio of Freddie’s age to his mother’s age was 1:11
On 1st March 2018, the ratio of Freddie’s age to his mother’s age was 2:5
Write the ratio of Freddie’s age to his mother’s age on 1st March 2030
Answer:
[tex]Ratio =16 : 31[/tex]
Step-by-step explanation:
Let
x = Freddie's age and y = His mother's age
Given
2001:= [tex]x : y = 1 : 11[/tex]
2018:= [tex]x +17: y + 17= 2 : 5[/tex]
Required
The ratio of their age in 2030
[tex]x : y = 1 : 11[/tex]
[tex]x +17: y + 17= 2 : 5[/tex]
Express as fractions
[tex]\frac{x}{y} = \frac{1}{11}[/tex] --- (1)
[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex] -- (2)
In (1), make y the subject
[tex]\frac{x}{y} = \frac{1}{11}[/tex]
[tex]y = 11x[/tex]
Substitute [tex]y = 11x[/tex] in (2)
[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex]
[tex]\frac{x+17}{11x+17} = \frac{2}{5}[/tex]
Cross Multiply
[tex]5(x +17) = 2(11x + 17)[/tex]
[tex]5x +85 = 22x + 34[/tex]
Collect like terms
[tex]22x - 5x = 85 - 34[/tex]
[tex]17x = 51[/tex]
[tex]x =3[/tex]
[tex]y = 11x[/tex]
[tex]y = 11*3[/tex]
[tex]y = 33[/tex]
This means that: In 2001, Freddie was 3 and his mother was 33
In 2030 (29 years after);
Freddie will be: 3 + 29 = 32
His mother will be: 33 + 29 = 62
So, the ratio is:
[tex]Ratio =32 : 62[/tex]
Divide by 2
[tex]Ratio =16 : 31[/tex]
A committee consisting of 2 faculty members and 3 students is to be formed. Every committee position has the same duties and voting rights. There are 7 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?
A number decreased by the sum of the number and seven. what is the algebraic expression?
Answer:
Step-by-step explanation:
n-(7+n) which is a strange problem to give you as that is equal to
n-7-n which always equals -7
And that means n can be any real number and the expression still equals -7
The algebraic expression will be -7. x is the assumed algebraic expression. The equation is solved by subtraction.
What is an algebraic expression?An algebraic expression is a phrase that has been combined using operations like addition.
Let n is the number and x be the solution for the given condition;
If the number is decreased by 7 then the equitation will be (n-7).
From the given condition;
[tex]\rm x=\rm n-(n-7) \\\\ x=n-n-7 \\\\ x=-7[/tex]
Hence the algebraic expression will be -7.
To learn more about the algebraic expression refer to the link;
https://brainly.com/question/953809
f(x)=(1)/(18)(x+5)^(2)-11
I need help graphing this!
Answer:
The graph is in the form 1/x^(2)
Step-by-step explanation:
See the pinned image.
What is the slope between the points (2,5) and (6,13)
Let me = slope
m = (13 - 5)/(6 - 2)
m = 8/4
m = 2
The slope is 2.
5. Which equation does not represent a line
with an x-intercept of 3?
A y= -2x + 6
B y = -1/3x + 1
C y= 2/3x - 2
D y = 3x - 1
What fractions will make the comparison true? 5/8>
Answer:
7/10
Step-by-step explanation:
i7/10 is greater than 5/8
need help geometry question central angles and arcs?
Answer:
135
Step-by-step explanation:
360-90=270
270/2=135
Like the land bridge people, what factors might have pulled the Solutreans into North America?
overpopulation
job opportunities
better schools
grasses and animals
Answer:
mayne because of grasses and animals
Answer:
D
Step-by-step explanation:
figure above shows a bkock of isometric projection draw the 1st angle projection taking F a as a font elevation
117AUG 2017
Answer:
ufhvuaejahejgjbhrthugjwergkwer
Step-by-step explanation:
erlgluerhbferihgqerhggyefuqwheuhqhwgh4ht43y3yhebr
What is the value of ?
18 - (2 x ? ) = ? x 4
Answer:
?= 3
Step-by-step explanation:
let x = ？
18-2x=4x
6x=18x
x=3
Answer:
The value of ? is 3
Step-by-step explanation
Lets call ? x
18-2x = 4x
18=6x
3=x
