Answers
Answer:
The graph of the system of equations solves the equation [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C
Step-by-step explanation:
Let us revise some important notes about the slope and y-intercept of a line
The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept
If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the leftThe y-intercept (0, b) is the the point of intersection between the line and the y-axis
If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negativeTo solve our question without any calculation, let us find the direction of the slopes and their y-intercepts
∵ The direction of the blue line is to the left
→ That means m in the equation is negative
∴ Its slope is negative
∵ The line intersects the y-axis at point (0, 2)
→ That means b in the equation = 2
∴ The number in the equation is 2
→ Look at the answer we have two answers have negative slope and
y-intercept 2 in the left hand side ⇒ C and D
∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2
→ that means the equation of the red line is represented by the right side
∵ The direction of the red line is to the right
→ That means m in the equation is positive
∴ Its slope is positive
→ Only C has a positive slope in the right side
∴ The equation of the red line is represented by 2x - 7
The graph of the system of equations solves the equation [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7
Another way:
You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph
Related Questions
rationalise the denominator of 5√7 / √5
Answers
Rationalize the denominator of 5√7/ √5
Answer5√7 / √5
=> 5√7/√5×√5/√5
=> 5√7×5/(√5)^2
=> 5√35/5
=>√35
=> 5√7
So, the required answer is 5√7 .A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3 4 pounds the first month and 11 5 8 pounds the second month. How much weight must be lost the third month for the goal to be achieved?
Answers
Given :
A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3/4 pounds the first month and 11 5/8 pounds the second month.
To Find :
How much weight must be lost the third month for the goal to be achieved.
Solution :
Let, weight lose in third month is x.
So, 8 3/4 + 11 5/8 + x = 26
[tex]\dfrac{32+3}{4}+\dfrac{88+5}{8}+x=26\\\\x = 26 - ( \dfrac{35}{4}+\dfrac{93}{8})\\\\x=5.625\ pounds[/tex]
Therefore, weight lose in third month is 5.625 pounds.
Hence, this is the required solution.
5/16 ÷ 5/12
3 1/5 • 2 3/4
6 3/8 ÷ 2 1/4
i need all of these to be reduced to lowest term, if someone could do a step by step process that'd be great. thank you :)
Answers
Answer:
1.) 3/4
2.) 44/5 or 8 4/5
3.) 17/6 or 2 5/6
Step-by-step explanation:
1.) 5/16 ÷ 5/12
To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:
5/16 × 12/5
5 × 12 / 16 × 5
Cancel out 5 since both numerator and denominator has it:
12 / 16
Divide both by 4:
12 ÷ 4 / 16 ÷ 4
3/4
2.) 3 1/5 • 2 3/4
You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:
3 1/5 = 3×5 + 1 = 16/5
2 3/4 = 2 × 4 + 3 = 11/4
Now you can multiply the numerator to numerator then denominator to denominator:
Since 16 is a factor of 4, you can cancel it out, which leaves 4:
16 / 5 × 11/4
4 × 11 / 5 × 1
44/ 5
3.) 6 3/8 ÷ 2 1/4
Convert to improper fraction:
6 3/8 = 6× 8 + 3 = 51/8
2 1/4 = 4 × 2 + 1 = 9/4
(51 × 4)/ (9×8)
51 × 1/ 9× 2
51 / 18
Divide by 3:
17/6
A ladder is placed against a wall. The foot of the ladder is 3 feet away from the wall and the top of the ladder hits the wall 15 feet off the ground. What is the slope of the ladder?
Answers
Answer:
Slope = 15.2970585
Step-by-step explanation:
(–1) + 5 – (–6) – 5 =
Answers
Answer:
The answer is 5
Answer:
The answer is 5
Step-by-step explanation:
how do i simplify 6⁴ 6⁸ please help its dou today
Answers
Answer: 6^12 (or 2176782336)
When you multiply exponents with the same base, you add the exponents together. (e.g., x^m · x^n = x^m+n)
6^4 · 6^8 = 6^4+8 = 6^12
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the nearest cent if necessary. $26.85 $28.91 $437.78 $439.85At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which expression represents how much she will receive in commission from the sale? 569 (0.18) 569 (0.72) 569 (1.18) 569 minus left-bracket (569) (0.18) right-bracket
Answers
Answer: See explanation
Step-by-step explanation:
1. Cost = $413
Sales percent = 6.5%
Cost of bike = $413 + (6.5% × $413)
= $413 + (0.065 × $413)
= $413 + $26.845
= $439.85
2. Cost of dishwasher = $569
Commission rate = 18%
The expression for the commission will be:
= 18% × $569
= 18/100 × $569
= 0.18($569)
Answer:
D
Step-by-step explanation:
3) You owe a friend $50.60. You pay them back $18.90. How much money do you still owe your friend?
Answers
Answer:
31.7
Step-by-step explanation:
Just subtract
why is algebra so hard
Answers
ZA is a supplement of 2B. ZA is a complement of LC, and m2B= 124. Thus,
m2B + m2
degrees.
Answers
65.7 x 10^6 =
What is this answer
Answers
Answer:
65700000x
Step-by-step explanation:
thats the answer
Answer: 65700000
Step-by-step explanation:
65700000x
given : 2x+8=5x-13; prove x=7
Answers
Answer:
True
Step-by-step explanation:
The left side 22 is equal to the right side 22 , which means that the given statement is always true.
Step-by-step explanation:
If we want to prove that x is equal to seven, we should first solve the equation for x so:
2x + 8 = 5x - 13
We should first add 13 on both sides and subtract 2x from both sides:
2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x
21 = 3x
We can then divide both sides by 3 to get:
x = 7
1.The sales tax for a $49.30 sandals with a 8.25% sales tax is $
2.The total cost of the sandals is $
Answers
Answer:
$53.36
Step-by-step explanation
Please I need some answers
Answers
Step-by-step explanation:
1)4+9 = 13
2)9+16 = 25
3)4+16 = 18
4)9+25 = 34
Answer:
i) 13 ii) 25 iii) 20 iv) 34
Step-by-step explanation:
they are all exponents of 2 so you multiply each number by itself once.
i) 2x2 + 3x3
ii) 3x3 + 4x4
iii) 2x2 + 4x4
iv) 3x3 + 5x5
(next time you can use a calculator lol)
In HIJ below, what is the value of y?
PLEASE ANSWER
Answers
Answer:
110
Step-by-step explanation:
The value of x in the given figure is y = 110. Hence option 3 is true.
Given that,
A triangle is shown in the image.
Apply the concept of the triangle that states,
The sum of two opposite interior angles in a triangle is equal to the measure of the exterior angle.
Hence we get;
y° + 20° = 130°
Subtract both sides by 20,
y = 130° - 20°°
y = 110°
Therefore, option 3 is true.
To learn more about the triangle visit;
brainly.com/question/1058720
#SPJ6
(9,3) (0, 12) dtermine the slope of the line
Answers
Answer:
-1
Step-by-step explanation:
(9,3) (0,12)
(x1,y1) (x2,y2)
to find the slope, use this equation:
y2-y1/x2-x1
12-3/0-9
the slope is 9/-9 = -1
School was starting and James had $300 to spend on clothes. He bought a pair of shoes for$62.50, 3 shirts for $17.25 each, and 5 pairs of jeans at $27.75 each. How much change will James get back? *
Answers
Answer:
$47
Step-by-step explanation:
Multiply the quantities of each by the prices, then add it all together to find total spent. Subtract total spent from what he has to spend to find the change:
3 shirts x 17.25 = 51.75
5 jeans x 27.75 = 138.75
Total pent : 62.50 + 51.75 + 138.75 = $253.00
Change : 300 - 253 = $47.00
You are a photographer Acustomer wants you to make
a photographic display that is 4.} feet tall by 21 feet
wide. Each photograph is sa inches tall by 3 - inches
wide. The photographs are to be displayed with the
longer dimension vertical and with no overlaps.
How many photographs will fit on the display?
8
9
30
54
72
Answers
a 95% confidence interval is found to be (24, 30). The sample standard deviation is 7.5, and the sample size is 25. If you wanted a smaller interval what could you do?
A. increase the confidence level to 99.7%.
B. increase the sample size to 36.
C. decrease the sample size to 20.
D. None of these.
Answers
Answer:B. Increase the sample size to 36
Step-by-step explanation:
First of all, the size of the sample must be greater than 30. Then the correct option is B.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
A 95% confidence interval is found to be (24, 30).
The sample standard deviation is 7.5, and the sample size is 25.
First of all, the size of the sample must be greater than 30. Then we have to increase the sample size up to 36.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ2
Given f(x)=2x+3 and g(x)= -2x2 - 4x +4, find the value of f(3)
Answers
Answer:
9
Step-by-step explanation:
f(x)=2x+3
f(3) = 2(3) + 3
= 6 + 3 = 9
An advertisement reads “All Toys 35% Off.” How much money will you save if you buy a remote-control helicopter originally priced at $49?
$14.00
$17.15
$20.00
$31.85
Answers
Answer:
$17.15
Step-by-step explanation:
Answer:
17.15
Step-by-step explanation:
Can someone help me??
Answers
Answer:
E
Step-by-step explanation:
3x is the 3 lines.
+5 is the 5 dots
= -4 is the 4 black dots
SOLVE QUESTION 3 PART A AND B !! WILL GIVE BRAINLIST ..
Answers
Answer:
28π, reasonable
Step-by-step explanation:
A. Circumference is 2πr (or dπ), so we plug in 14 for r
this leaves us with 2π14, in which the 2 and 14 can multiply, so we get 28π
B. if we plug 28π into the calculator, you'll get 87.96, so 85cm is reasonable
Which statement justifies whether or not the two quadrilaterals are congurent
Answers
Answer:
is there photo
Step-by-step explanation:
please post the photo
A continuous function graph shows unbroken lines or curves or part of a line or curve.
Answers
This is very true for a function that is continuous.
| 2 +r | ≥ 3 (lines are absolute value)
Answers
Answer:
r ≤ -5 and r ≥ 1
Step-by-step explanation:
The solution has two parts:
1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive. Then:
2 + r ≥ 3, or r ≥ 1
and
that derived from | 2 +r | ≥ 3 when (2 + r) is negative. If (2 + r) is negative, then
|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3. Therefore, -2 -r ≥ 3, or -r ≥ 5. To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign: r ≤ -5
(-15) - (-16) (i need 20 characters so hey)
Answers
Step-by-step explanation:
-15+16 (as - - = +)
1
it will be positive as 16 is greater then 15 and have positive charge
Answer:
1
Step-by-step explanation:
(-15)-(-16) =
(-15)+16 =
1
Plz help! Is this right? Question is below!
Answers
Answer: I believe it's correct. Good Job! :D
Can someone help me ?please
Answers
Answer:
maybe try 672cm?
While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test?
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function.
Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation.
Because the vertical line did intercepted the vertical line exactly twice, the graph is a function and relation.
Because the vertical line intercepted the graph exactly twice, the graph is a function.
Answers
Answer:
The correct option is;
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function
Step-by-step explanation:
Given that a function maps a given value of the input variable, to the output variable, we have that a relation that has two values of the dependent variable, for a given dependent variable is not a function
Therefore, a graph in which at one given value of the input variable, x, there are two values of the output variable y is not a graph of a function
With the vertical line test, if a vertical line drawn at any suitable location on the graph, intercepts the graph at more than two points, then the relationship shown on the graph is not a function.
Answer:
a
Step-by-step explanation: