Answer:
x = 29 , b = -3
Step-by-step explanation:
5 = b + 8
5 - 8 = b
-3 = b
b = -3
2x + 3b = 156
156 / 3 = 52
52 / 2 = 26
x + b = 26
26 + 3 = 29
x = 29
Rachel found the following rate of change for the
scenario represented in this table.
What can you conclude from her work?
Check all that apply.
The scenario is represented by a linear function,
since the rate of change is constant.
The scenario is represented by a nonlinear function,
since the rate of change is constant.
The berries are picked at a constant rate of 53 per
hour.
The berries are not picked at a constant rate.
Answer:
A and C
Step-by-step explanation:
All the correct conclusion from her work are,
1) The scenario is represented by a linear function, since the rate of change is constant.
2) The berries are picked at a constant rate of 53 per hour.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
We have to given that;
Rachel found the following rate of change for the scenario represented in this table.
Now, By the given table,
Rate of change to picked berries = (181 - 128) / (5 - 4)
= 53 / 1
= 3
Which is similar in all given values.
Hence, We can conclude that;
The scenario is represented by a linear function, since the rate of change is constant.
And, The berries are picked at a constant rate of 53 per hour.
Learn more about the linear expression visit:
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simplify the following
Answer:
D. 64 z^ 2
Step-by-step explanation:
Simplify the expression.
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
[tex]\displaystyle v=46.07\ Km/h[/tex]
Step-by-step explanation:
Speed
The speed is the ratio between the distance x traveled by an object and the time t taken.
[tex]\displaystyle v=\frac{x}{t}[/tex]
The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:
[tex]t = 56 / 60 = 0.933\ h[/tex]
Now apply the formula:
[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]
evaluate = (√5+2√6) + (√8-√2√15)
Answer: 2√2 + 3√8 = 2√2 + 6√2 = 8√2 , because we simplified √8 = √(4 * 2)
Answer:
[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]
Step-by-step explanation:
[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{2} \cdot \sqrt{15} )[/tex]
[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{30} )[/tex]
[tex](\sqrt{5}+2\sqrt{6} ) + (2\sqrt{2} - \sqrt{30} )[/tex]
[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]
Hmmmmmmmmmmmmmmm?????????
Answer:whats the question?????
Step-by-step explanation:
If a=2, b=-3 and c=4, evaluate: b(a-c)^2
Solve the inequality below.
4(x + 3) < 6x – 2
Answer:
X > 7
Step-by-step explanation:
4(x + 3) < 6x – 2
4x + 12 < 6x -2
-6x -6x
-2x + 12 < -2
-12 -12
-2x < -14
----- -----
-2 -2
x > 7
The < change because it was divided by a negative number
Mandy makes cupcakes, she uses 8 3/4 cups of flour for 12 cupcakes. How many cups of flour are needed to make 1 cupcake? Explain how you found each amount.
Answer:
Step-by-step explanation:
.75=3/4
8.75 cups divided by 12 cupcakes = .73 (rounded up) cups of flour per cupcake
Please help ME!! I need help
Answer:
You want to make it so you have an even amount of both, correct? This is where you need to know your multiples... here is what I got...
Step-by-step explanation:
By 4 packs of hotdogs and 5 packs of hotdog buns, this way you end up with 40 of each.
Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3
Answer:
y = –5x – 17
Step-by-step explanation:
First, we shall determine the slope of the equation y = 1/5x – 3.
The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.
This is illustrated below:
y = 1/5x – 3
y = mx + c
Thus, the slope (m) of equation
y = 1/5x – 3 is 1/5
Next, we shall determine the slope of the line perpendicular to the equation as follow:
For perpendicular lines, their slope (m1 and m2) are related as follow:
m1 × m2 = –1
m1 = 1/5
1/5 × m2 = –1
m2/5 = –1
Cross multiply
m2 = 5 × –1
m2 = –5
Therefore, the slope of the line is –5.
Finally, we shall determine the equation of the line as follow:
Coordinate = (–5, 8)
x1 coordinate = –5
y1 coordinate = 8
Slope (m) = –5
y – y1 = m(x –x1)
y – 8 = –5(x – (–5))
y – 8 = –5(x + 5)
y – 8 = –5x – 25
Rearrange
y = –5x – 25 + 8
y = –5x – 17
Therefore, the equation is y = –5x – 17.
A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
Answer:
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
Step-by-step explanation:
The school plans to purchase 200 monitors for $89 each.
This is the calculation of the teacher
200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
The teacher's calculation is wrong
The correct calculation using Distributive property is
a(b + c) = ab + ac
200 × 89 = 200(80) + 200(9)
Because 80 + 9 = 89
Hence,
200 × $89 = 16000 + 1800
= $17,800
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
$17, 800 ≠ $15,000
Classify the system of equations.
2x = 5 - y
-3+y = -2x + 3
Click on the correct answer.
coincident
intersecting
parallel
Answer:
Parallel
Step-by-step explanation:
√12
A. 2√5
B. 2√3
Which one?
Answer:
B. [tex]2\sqrt{3}[/tex]
Hope this helps!
Answer:
B.2√3
Explanation:
√2^2×√3
√2^2√3
2√3
What is the length of c on the graph below?
6
10
8
14
Answer:
10 is the answer to the question
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
8. PLS ANSWER!!!!
and show work
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Factor and find all zeros
f (x) = x 4 + 5x 3 + 4x 2 + 20x
Answer:x(x+5)(x2+4)
Step-by-step explanation:
Select each set of points that are colinear.
Answer:
friend, a points are collinear
Answer:
points K and R are colinear
Step-by-step explanation:
I need help with 9and 10 pleas
Help Please I have a few minutes left :/
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply)
positive ÷ negative
negative ÷ positive
positive x negative
negative x negative
negative x positive
negative ÷ negative
positive ÷ positive
positive x positive
help asap please click the image to find the question
Answer:33
Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.
Solve the following equation
5(3x+5)=3(5x+1)
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
5(3x+5)=3(5x+1)
Step 1: Simplify both sides of the equation.
5(3x+5)=3(5x+1)
(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)
15x+25=15x+3
Step 2: Subtract 15x from both sides.
15x+25−15x=15x+3−15x
25=3
Step 3: Subtract 25 from both sides.
25−25=3−25
0=−22
Answer:
There are no solutions.
Write the equation in vertex form using the following information: vertex (4, -6) and a=1.
Submit
Answer:
y = (x - 4)² - 6Step-by-step explanation:
An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)
vertex (4, -6) means h = 4 and k = - 6
So:
y = 1(x - 4)² + (-6)
y = (x - 4)² - 6
whats 4*4
hrry answer it
Answer: 16
Steps: 4 × 4 = 16
PLz mark brainliest:)
Answer:
16
Step-by-step explanation:
4*2 is 8 and 8+8 is 16.
Which pair of quantities form a proportional relationship? Select all that apply
Answer:
The 4th and 6th
Step-by-step explanation:
How many lines of symmetry, does this quadrilateral have
Answer:
im going to say 4 hope it helps
Step-by-step explanation:
If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3
Answer: B - lines that intersect at a single point
Step-by-step explanation: Just took a test
Which table represents a linear function?
answers are in the picture plz help im timed
Answer: first table
Step-by-step explanation: go with the first one