Consider the system of equations.
y = 4x + 2
y=-2x + 6
Part A
Graph the equations. Estimate the solution of the system of equations.
Estimated solution:
Part B
Solve the system algebraically,
Show your work
I need help like I get it at some points and some at nun
Answers
this is the graph for y =4x+2
Related Questions
HELP FAST!! The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. Find the score that is one and one-half standard deviations below the mean.
Answers
Answer:
91
Step-by-step explanation:
130 - 1 1/2 ( 26) = 91
In parallelogram crhs, the measure of angle c is 48.Find the measure of angle h?
Answers
Answer:
48°
Step-by-step explanation:
we know that opposite angle of parallelogram is equal
so,
angel C is equal to opposite angle H
H = 48
angle C = 48°
angle R = 132°
angle H = 48° (opposite of angle C)
angle S = 132°(opposite of angle R)
Mark me Brainiest please
A picture 8 3/4 feet long is to be centered on a wall that is 12 1/2 feet long. How much space is there from the edge of the wall to the picture?
Answers
Answer:
15/4
Step-by-step explanation:
Find a common denominator in this case 4.
Turn both mixed numbers to an improper fraction
12 1/2 = 25/2
8 3/4 = 35/4
multiply 2 to 25/2 = 50/4
50/4 - 35/4 = 15/4
f(x)=x^2. What is g(x)?
Answers
f(x)=x²
f(1)=1²=1Hence.
g(x)=5f(x)g(x)=5x²Answer:
welp hopefully its right
Step-by-step explanation:
-1.5
15
- 10
-3
2
The sum of two numbers is 5/9.if one of the numbers is 1/3 find the other
Answers
Answer:
2/9
Step-by-step explanation:
The sum of two numbers is 5/9 can be expressed as:
[tex]\displaystyle \large{x+y=\dfrac{5}{9}}[/tex]
One of the numbers is 1/3. Find the other - this means that either x or y is 1/3 but that doesn’t matter as we can either let x = 1/3 or y = 1/3 via property:
[tex]\displaystyle \large{x+y = y+x}[/tex]
Hence, let x = 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}+y=\dfrac{5}{9}}[/tex]
Solve for y - subtract both sides by 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}-\dfrac{1}{3}+y=\dfrac{5}{9}-\dfrac{1}{3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1}{3}}[/tex]
We know that we can only evaluate the fractions if both have same denominator so what we have to do is to multiply 1/3 by 3 for both top and bottom:
[tex]\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1\cdot 3}{3\cdot 3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{3}{9}}\\\displaystyle \large{y=\dfrac{2}{9}}[/tex]
Therefore, the other number is 2/9
Answer:
The other number is 2/9
Step-by-step explanation:
"a" is the other number
The equation:
[tex]a+\frac{1}{3} =\frac{5}{9}[/tex]
Then
[tex]a=\frac{5}{9} -\frac{1}{3} =\frac{15-9}{27} =\frac{6}{27}[/tex]
simplifying the fraction:
[tex]a = \frac{2}{9}[/tex]
Hope this helps
As the number of trials increases, the __________ probability will approach the __________ probability.
Answers
Answer:
Empirical probability
And
Theoretical
hope this helps! :)
The radius of a circle is 17 yards. What is the circle's circumference? Use 3.14 for .
Answers
Answer:
Circumference of circle is 106.76 yardsStep-by-step explanation:
Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:
Circumference of circle = 2πr
2 × 3.14 × 17
6.28 × 17
106.76 yards
Hence,
Circumference of circle is 106.76 yards⠀
Step-by-step explanation :
⠀
As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.
⠀
We know that,
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]
⠀
Here,
r is the radius of the circle.We'll take the value of π as 3.14⠀
Now, substituting the values :
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]
⠀
Therefore,
The circumference of the circle is 106.76 yardsPLEASE HELP 20 POINTS!!
Which statements are true about the graphed function?
Answers
Step-by-step explanation:
The Amplitude is 4
The period is 2π
The midline is y=1.5
OPTION 1, 3,6
Answer:
See below ~
Step-by-step explanation:
The period of the function is 2π as it is the time taken to travel between successive troughs/crestsThe midline of the function is the mean of the highest y-value and lowest y-value ⇒ 4 - 1 / 2 = 3/2 ⇒ y = 1.5Similarly, amplitude is the distance between the top of the crest and axis ⇒ A = 4Find the area of a regular hexagon with a perimeter of 12cm.
Answers
Answer:
[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.
So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.
The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].
So plugging in 2 gets us the area of one triangle.
s = 2
[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]
The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].
if 9% of 84 students like pizza if 6% like hotdogs and 15% like nachos and 6% like candy how much percentage is left popcorn
Answers
Answer:
64%
Step-by-step explanation:
36% like everything else, leaving a 64%
Answer: 64%
Step-by-step explanation:
9 + 6 + 15 + 6 =36
popcorn = 100- 36% = 64%
64/100 × 84/1
A passenger train left new york and traveled north while a freight left from the same place, and the same time and traveled south. After traveling for 6 hours the traines were 720 miles apart. if the passenger train was traveling at 80mph, how fast was the freiht train traveling.
Answers
The freight train was traveling at 40 mph.
Let's use the formula for distance:
distance = rate x time
We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:
distance = distance traveled by passenger train + distance traveled by freight train
Since they started at the same time, the time traveled by both trains is the same, so we can write:
distance = 80 mph x time + rate of freight train x time
Using the given information, we can write:
720 = 80 x 6 + rate of freight train x 6
Simplifying:
720 = 480 + 6(rate of freight train)
240 = 6(rate of freight train)
rate of freight train = 40 mph
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What percentage of take-home pay is spent on expenses? (round to nearest whole percent) a) 67% b) 68% c) 84% d) 85%
Answers
The percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.
What is percentage of a number?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%' known as percentage symbol.
In the attached image below the monthly budget is shown. In this budget the take home salary is $5388 and the total expences is $4558.
The percentage of take-home pay is spent on expenses is,
[tex]P=\dfrac{4558}{5388}\times100\\P=0.8459\\P\approx85\%[/tex]
Thus, the percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.
Learn more about the percentage here;
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Find the perimeter of the composite figure
Answers
7+7+5+5=24
So therefore the permeter is 24
Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answers
Answer:
x = 53.15
Step-by-step explanation:
use Pythagoras theorem
first find for the triangle that has both sides given and then solve for the other
A committee of four people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the four people chosen on the committee are women? a) 0.518 b) 0.429 c)0.215 d) 0.322
Answers
Answer:
D
Step-by-step explanation:
pls help with math it is due soon
Answers
Answer:
x = 25
Step-by-step explanation:
[tex]x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25[/tex]
A punch recipe calls for 4 1/3
cups of pineapple juice per serving. Julie is making 1 2/5
servings.
Which equation shows the amount of pineapple juice
Answers
Answer:
The equation is 4 1/3(2/5+1)
Step-by-step explanation:
So, it's 4 1/3+1 11/15=
65/15+26/15=91/15
6 1/15
2/5x4 1/3
Which is 2/5 x 13/3
Which is 26/15
Which is 1 11/5
Determine tan(S) and tan(T).
Answers
[tex]\tan S = \dfrac{RT}{RS}= \dfrac{5}{12}\\\\\\\tan T = \dfrac{RS}{RT}= \dfrac{12}5[/tex]
Question Find the surface area of the prism. The surface area is square centimeters.
Answers
Answer:The answer is12
Step-by-step explanation:
Mrs. Mueller writes an inequality on the board. The table shows the responses of six students for possible values of x.
Which students have correct responses to Mrs. Mueller's inequality?
Select ALL that apply.
Answers
Answer:
Maya, Pablo
Step-by-step explanation:
We solve the inequality to find how big x must be to fit the inequality.
[tex]\frac{3}{5}x > 6\\ x > 10[/tex]
Since x has to be greater than 10, anyone with an answer above that is correct.
Maya and Pablo are the only two.
One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2. Find the value of coefficient c.
Answers
Answer: c = -28
Step-by-step explanation:
substitue x for 2
2(2^2) + 10(2) + c = 0
8 + 20 + c = 0
28 + c = 0
c = -28
The value of coefficient c of the quadratic equation 2x^2+10x+c=0 is -28.
One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2.
What is the root?The roots of a quadratic equation are the values of the variable that satisfy the equation.
They are also known as the solutions or zeros
The equation is 2x^2+10x+c=0.
a=2, b=10 and c=?
To substitute x for 2
2(2^2) + 10(2) + c = 0
8 + 20 + c = 0
28 + c = 0
c = -28
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each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. find the range and domain of the relation.
Answers
Using the domain and range concepts, it is found that:
For the first relation, the domain is [tex]-1 \leq x < 1[/tex], and the range is [tex]-1 \leq y \leq 0[/tex].For the second relation, the domain is [tex]-1 \leq x \leq 1[/tex], and the range is [tex]-1 \leq y \leq 1[/tex].What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In a graph:
The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.Hence:
For the first relation, the domain is [tex]-1 \leq x < 1[/tex], and the range is [tex]-1 \leq y \leq 0[/tex]. The open circle at x = 1 means that x = 1 is not part of the domain, hence we have an open interval.For the second relation, the domain is [tex]-1 \leq x \leq 1[/tex], and the range is [tex]-1 \leq y \leq 1[/tex].More can be learned about domain and range concepts at https://brainly.com/question/27566140
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What is the probability that the spinner will land on the number 1?
Answers
Answer:
30% or 4/12
Step-by-step explanation:
Answer:
33.333...% (2/3)
Step-by-step explanation:
the number 1 makes up one third of the numbers on the spinner.
Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
Answers
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
Answers
The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Pythaogram theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 10ft
Other sides are x and (x+2)ft
According to the theorem:
10^2 = x^2 + (x+2)^2
x^2 + (x+2)^2 = 100
Expand
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Divide through by 2
0.5x^2 +x - 24 = 0
0.5x(x+2) = 24
Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
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The solid below is made from cubes.
Find Its volume.
Answers
Answer:
20
Step-by-step explanation:
2x2x5
Scientists are looking for a drone that crashed into a forest. They decide to use a map and conduct a
circular search to find the missing drone according to the equation y? + y2 - 12x - 4y + 24 = 0 in miles.
Which of the following statements are correct? Select all that apply.
A. The search radius is less than 5 miles.
B. The search radius more than 10 miles.
C. The search is centered on the map at point (12, -4).
D. The search is centered on the map at point (-2, -6).
E. The search is centered on the map at point (6, 2).
Answers
5. Consider the system of equation:
x+4y=13
3x +2y =19
(a) Multiply both sides of the second equation (b) Add the equation from (a) to the first
hu -2. What equation results?
equation. What happens? What can you
now solve for?
(d) What could you have multiplied both sides of
the first equation by to eliminate the x
instead of the y?
Answers
Answer:
A
Step-by-step explanation:
What is the volume in cubic inches
Answers
Answer:
80 cubic inches
Step-by-step explanation:
Hey there!
In order to find the volume, you need to split this shape in two parts
We are going to take the big rectangle and the small rectangle as our two shapes
The bigger rectangle has dimensions 5.5 x 6 x 2 which is 66 cubic inches
So now we need to get the volume of the smaller rectangle which has the dimensions: 2x2x3.5 which is 14 cubic inches
Now we add both volumes
66+14 is 80
So the total volume is 80 cubic inches
Work-
7.5•3.5•2=52.5
5.5•2.5•2=27.5
52.5+27.5=80
Work out
92.6
% of
103.93
km
Give your answer rounded to 2 DP. HURRY
Answers
92.6% of 103.93km
solution:Our output value is 103.93.
let's represent the unknown as x.
103.93=100%
Similarly, x=92.6%
103.93= 100% (1)
x= 92.6% (2)
By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:
103.93/x = 100%/ 92.6%
the reciprocal of both sides gives:
x/ 103.92 = 92.6/100
= 96.23918
2 dp= 96.24
so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.
Answer:
96.24 km
Step-by-step explanation:
To Find :
92.6% of 103.93 kmSolving :
% to decimal = ÷ by 10092.6% = 0.926⇒ -.926 x 103.93⇒ 96.23918⇒ 96.24 km (In 2 decimal places)