Answer and Step-by-step explanation:
1-6
a.
What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.
The order that works is second machine, then first machine.
Second Machine:
y = [tex](6)^{2} -6[/tex] = 36 - 6 = 30
Plug into first machine now.
First Machine:
y = [tex]\sqrt{(30) - 5} = \sqrt{25} = 5[/tex]
We see that the result is 5.
b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.
However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.
1-7. The absolute value of a value is the positive version of that value.
a. |54| = 54
b. [tex]-|-7\frac{3}{5}|[/tex] = [tex]-7\frac{3}{5}[/tex]
c. |3| - |-1| = 3 - 1 = 2
d. |2.2 - 5.13| = |-2.93| = 2.93
1-8.
a.
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(5 boxes on each side)
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(6 boxes on each side)
b. The amount of squares on each side of the figure increases by 1.
c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.
1-9.
a. -42 - 17 = -59
b. 8 - (-9) = 8 + 9 = 17
c. 8(-9) = -72
d. -42 ÷ (-7) = 6
e. -2(-3)(-4) = 6(-4) = 24
f. -18 - 7 = -25
g. [tex](-5)^{2}[/tex] = 25
h. [tex]-5^{2} = -(5)^2 = -(25)[/tex] = -25
i. [tex]\sqrt{49}[/tex] = 7
1-10. x = 2 Plug 2 in for x, then solve.
a. y = 7 - 3(2) = 7 - 6 = 1
b. y = [tex](2)^2 -1[/tex] = 4 - 1 = 3
c. y = [tex]\frac{18}{2}[/tex] = 9
#teamtrees #PAW (Plant And Water)
I hope this helps!
How would I prove the congruency of these triangles?
Step-by-step explanation:
the radius cuts the segment into two equal parts because it is perpendicular to the chord
Answer:
Step-by-step explanation:
As O is the mid point of the circle
Similarly, B also becomes the mid point of the line AC.
So, line OB divides AB and BC equally.
Hence, lines AB = AC, but they are asking to prove congruency of triangles.
So, u have to join OA and OC.
Same way, line OB divides ∠OBA and ∠OBC.
So it is proved that AB = AC
2.
Graph the set of points. Which model is most appropriate for the set? (–6, –1), (–3, 2), (–1, 4), (2, 7)
A. linear
B. exponential
C. quadratic
Answer:
A. linear
Step-by-step explanation:
Please help! This is due soon!!!
Write a function that has roots at x=2,6.
Answer:
x^2-8x+12
Step-by-step explanation:
(x-2)(x-6) roots= 2,6
x^2-6x-2x+12
=x^2-8x+12
Find the slope of a line that contains the two points. (-2, 8) and (1, 2)?
Answer:
The slope is -2
Step-by-step explanation:
(-2, 8) and (1, 2)
Slope formula:
m= (y2-y1)/(x2-x1)
Work:
m= (2 - 8)/(1 + 2)
m= (-6)/3
m = -2
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7
Which one of the following
lists correctly places these
rational numbers in order from
least to greatest?
-1.20, -1/5 -174-17g. -1.30
Write 3.7777... As a mixed number
Answer:
3 7777/10000
Step-by-step explanation:
Answer:
[tex]3\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]3.777...=3+0.777...[/tex]
[tex]0.777...=x\\7.777...=10x[/tex]
[tex]10x-x=7.777...-0.777...\\9x=7\\x=\frac{7}{9}[/tex]
The answer is [tex]3\frac{7}{9}[/tex]
4.
Evaluate the expression below if
Y = -1 and y-3
3x-y
Answer:
• If y= -1 and x= -3-8• If y= -3 and x= -1-1Step-by-step explanation:
If you mean: Let y= -1 and x= -33x - y = ?3(-3) - (-1) = ?-9 - (-1) = ?-8If you mean:Let y= -3 and x= -13x - y = ?3(-1) - (-3) = ?-4 - (-3) = ?-1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
factorise
[tex]4p {}^{3} q + 12p {}^{2} q {}^{2} + 8pq {}^{3} [/tex]
[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]
I hope I helped you^_^
how to solve this things
Answer:
8/5
Step-by-step explanation:
...................
smg membantu, mff kl slh
What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?
WILL MARK BRAINLIEST: In a car park, 2/3 of the cars are red.
1/5 of the cars are blue.
What fraction of the cars are red or blue?
Answer:
13/15
Step-by-step explanation:
Answer:13/15
Step-by-step explanation:
4. 1 less than twice the square of a number
Answer:
2(x^2)-1
Step-by-step explanation:
The square of a number is just the number squared. We don't know what the number is so I will just say it is x. So we have 2 times x^2. Then we have to minus 1 from that. So 2(x^2)-1.
Hope this helps! :D
The expression "1 less than twice the square of a number" can be represented mathematically as [tex]\(2x^2 - 1\)[/tex], where x is the variable representing the number.
Expression: [tex]\(2x^2 - 1\)[/tex]
Step 1: Square the number x:
[tex]\((x)^2 = x^2\)[/tex]
Step 2: Multiply the squared number by 2:
[tex]\(2 \cdot x^2 = 2x^2\)[/tex]
Step 3: Subtract 1 from the result of step 2:
[tex]\(2x^2 - 1\)[/tex]
This is the final expression that represents "1 less than twice the square of a number."
For example, if we substitute a specific value for x, let's say x = 3:
Step 1: Square the number: [tex]\(3^2 = 9\)[/tex]
Step 2: Twice the squared number: [tex]\(2 \cdot 9 = 18\)[/tex]
Step 3: Subtract 1: 18 - 1 = 17
So, when x = 3, the expression [tex]\(2x^2 - 1\)[/tex] evaluates to 17.
To know more about square, refer here:
https://brainly.com/question/14123715
#SPJ3
A commodity was sold for 120.00 at a 20% loss on the cost. What is the price of the merchandise?
Answer:
$150
Step-by-step explanation:
CP = 100/(100 - L%) × SP
CP = 100/(100 - 20) × 120
CP = 100/80 × 120
CP = 5/4 × 120
CP = 5 × 30
CP = $150
PLEASE HELP ME IM RUNNING LOW ON TIME
Answer:
[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]
Which of the following properties is this?
8x/3 • 3/8x = 1
Answer:
Multiplication
Step-by-step explanation:
Multiplication
4r + 13 = -15 -3r
i dont know how to do this and its due at 4
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
7r = -28
r = -28/7
r = -4
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
Add 3r to each side
4r + 13+3r = -15 -3r+3r
7r +13 = -15
Subtract 13 from each side
7r+13-13 = -15-13
7r = -28
Divide each side by 7
7r/7 = -28/7
r = -4
jskaoqlqmsbdnsoqqk
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]
Answer:
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]
[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]
[tex]\\ \rm\longmapsto 5(3)[/tex]
[tex]\\ \rm\longmapsto 15[/tex]
Solve 15x squared + 40x
Answer:
265x{2} + 40x
Step-by-step explanation:
Squared mean to multiply the number times itself. So 15x times 15x.
[tex]15x^{2} = 225x[/tex]{2}
Then the problem says to add, but because one is squared and th other is not, they cannot be combined. So the answer is:
[tex]225x{2} + 40x
Answer:
see below
Step-by-step explanation:
15x^2 + 40x
These are not like terms so they cannot be combined.
If you mean
(15x) ^2 + 40x
(15x * 15x) + 40x
225x^2 + 40x
They are still not like terms so they cannot be combined.
Pringle's variety pack 18 cups for $6.48 cost per cup
Answer:
0.36
Step-by-step explanation:
(PLEASE ANSWER ASAP I JUST NEED TO KNOW IF I GOT THIS ONE CORRECT PLEASE EXPLAIN ALSO)
Hey there! I'm happy to help!
We have $100.75 to spend.
Each spool costs $3, and we have 24 spools.
3×24=72
Each glue costs $1 and we have 7 packages of glue.
7×1=7
We add up these expenses.
72+7=79
And we subtract from our total amount.
100.75-79=21.75
So, Joanna has $21.75 left after buying these things.
Have a wonderful day and keep on learning! :D
Answer:
21.75
total money she has is 100.75
1 spool of ribbon $3
she buys 24 spools = 24X3
$72
1 glue cost $1
so 7 package glue cost =7X1= $7
money that he left is equals to 100.75- 79
=21.75
36. A function g is described below
.
g(x) = (x - 3)2 + 1
• The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than
or equal to -
F. 1
H. -3
G. 3
J. 10
Answer: F
Step-by-step explanation:
A square is always positive:
[tex](x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\[/tex]
Answer:
F.
Step-by-step explanation:
The expression (x - 3)^2 is always >= 0.
The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.
The range of g(x) is all real numbers >= 1.
What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?
Answer:
p(x,y)= (2,3)
Step-by-step explanation:
i have used partition formula in the pic below. If there is any question you can ask me in comment.
Pls help me i’ll really appreciate it!!
this is loki ez
but just go in order
(a) Write these in order of size starting with the smallest 0.8 78% ⅞ 0.71
Answer:
0.71, 78%, 0.8, [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
78% = 0.78
7/8 = 0.875
I need the perimeter of this triangle. Round to the nearest tenth. Quickly please
Answer:
The perimeter of the triangle is about 17.1 units.
Step-by-step explanation:
The perimeter of a triangle is the sum of its three side lengths.
We can see that the two legs of the triangle both measure five units.
To find the third segment, we can use the Pythagorean Theorem since the x-axis is perpendicular to the y-axis. Recall that:
[tex]a^2 + b^2 = c^2[/tex]
Where a and b are the two legs and c is the hypotenuse.
Our two legs are 5 and 5. Hence:
[tex](5)^2 + (5)^2 = c^2[/tex]
Solve for the hypotenuse:
[tex]\displaystyle \begin{aligned} c &= \sqrt{(5)^2 + (5)^2} \\ &= \sqrt{2(5)^2} \\ &= 5\sqrt{2}\end{aligned}[/tex]
Hence, our perimeter will be:
[tex]\displaystyle P = 10 + 5\sqrt{2} \approx 17.1 \text{ units}[/tex]
In conclusion, the perimeter of the triangle is about 17.1 units.
The area of the square is 64 ft? What are the side lengths?
4
4 ft, 16 ft 4 ft, 16 ft
B)
16 ft, 16 ft, 16 ft, 16 ft
C)
8 ft. 8 ft, 8 ft. 8 ft
D)
4 ft. 4 ft 4 ft. 4ft
Answer:
C
Step-by-step explanation:
the square root of 64 is 8ft
please help me please.
Step-by-step explanation:
For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).
Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)
Please find the value of x
Answer:
[tex]2x - 10 = 3x - 40 \\ x \: terms \: togather \\ 3x - 2x = - 1 0 + 40 \\ x = 30 \\ thank \: you[/tex]