The solution to the inequality d / 7 + 4 ≤ 0 will be (–∞, –28]. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality equation is given below.
d / 7 + 4 ≤ 0
By simplifying the equation, we have
d / 7 ≤ – 4
d ≤ – 28
Then the value of d must be less than or equal to the negative 28.
Then the correct option is B.
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Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x-y=7.
We can rewrite the equation of the given line to be in slope-intercept form as follows.
[tex]x-y=7\\x=y+7\\y=x-7[/tex]
Thus, the slope of the given line is 1.
Since parallel lines have equivalent slopes, the slope of the line we want to find is also 1.
Substituting into point-slope form,
[tex]y-0=1(x-1)\\\\\boxed{y=x-1}[/tex]
pls answer this math problem
Answer:
-5
Step-by-step explanation:
Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.
__
use x=4When x=4, the equation becomes ...
-3x +9y = -57
-3(4) +9y = -57
-12 +9y = -57
solve 2-step equationThe first step is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.
-12 +12 +9y = -57 +12 . . . . . add the opposite of -12
9y = -45 . . . . . . . . . . . . . . simplify
The second step is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.
(1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9
y = -5 . . . . . . simplify
Which of the following graphs shows the solution set for the inequality below?
|x + 2| + 7 > 10
Work Shown:
|x+2| + 7 > 10
|x+2| > 10-7
|x+2| > 3
x+2 > 3 or x+2 < -3
x > 3-2 or x < -3-2
x > 1 or x < -5
The graph for x > 1 has an open circle at 1 and shading to the right.
The graph for x < -5 has an open circle at -5 and shading to the left
Both of these facts combine to describe Choice C
In other words, we have open circles at -5 and 1, with nearly everything shaded except for the region between the open circles.
The open circles are used to exclude those x values mentioned.
What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) sin 40° cos 40° 50° 0.643 0.766 0.839 tan 40° 90°
Answer:
x is approximately 20.89
Step-by-step explanation:
cos(40°) = 16/x
x cos(40°) = 16
x = 16 / cos(40°) = 16/.766 = 20.89
The approximate value of x in the diagram is,
⇒ x = 20.77
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, We can formulate by the given figure;
⇒ sin 50° = 16 / x
⇒ 0.77 = 16 / x
⇒ x = 16 / 0.77
⇒ x = 20.77
Thus, The approximate value of x in the diagram is,
⇒ x = 20.77
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Which equation has roots of 3 ± √2?
Answer:
D.
Step-by-step explanation:
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first.
-x³+4x-15; x+3
Is x + 3 a factor of -x +4x-15?
Yes or no?
Yes, by using the factor theorem and synthetic division method, x + 3 is a factor of -x³ + 4x - 15.
What is the factor theorem?
According to the factor theorem, a given polynomial of f(x) has a factor if and only if f=0.
From the given information:
The factor of -x³ + 4x - 15 is -(x+3)(x² - 3x + 5) = 0Using the synthetic division method:
[tex]\mathbf{= \dfrac{-x^3+4x - 5}{x+3} }[/tex]
[tex]\mathbf{\implies \dfrac{-(x+3) (x^2-3x + 5)}{x+3} }[/tex]
Cancel out the common factors, we have:
[tex]\mathbf{\implies - (x^2-3x + 5)}[/tex]
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Mitch needs to do his laundry. It takes him 75 minutes to do each load
when he washes and dries the load. It takes him 43 less minutes if he
hangs up his laundry to dry. He decides to hang up one load of laundry
to dry.
Mitch writes the equation 75r -43 = 332, where x is the number of loads
of laundry he needs to do in order to determine how long it is going to
take him.
The next step Mitch wrote to solve the equation is shown here: 75r = 375
Which property did he use to get to this step?
A
addition property of equality
B
distributive property
C
subtraction property of equality
D
combining like-terms
Answer: [A] addition property of equality
Step-by-step explanation:
Mitch used the addition property of equality because he added 43 to both sides of the equation.
75r - 43 = 332
43 + (75r - 43) = (332) + 43
75r = 375
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If k(x) = 5x-6, which expression is equivalent to (k+ k)(4)?
Example:
[tex](f+g)(x)=f(x)+g(x)[/tex]
To add this, we can substitute in the functions and combine like terms.
Solving the QuestionWe're given:
[tex]k(x)=5x-6[/tex][tex](k+k)(4)=?[/tex]Add k to k:
[tex](k+k)(x) = k(x)+k(x)\\(k+k)(x) = 5x-6+5x-6\\(k+k)(x) = 10x-12[/tex]
Input x as 4:
[tex](k+k)(4) = 10x-12\\(k+k)(4) = 10(4)-12\\(k+k)(4) = 40-12\\(k+k)(4) = 28[/tex]
Answer[tex](k+k)(4)=28[/tex]
(k+k)(4) is equivalent to 28.
What is function ?If we have two non-empty sets X & Y, then each element of X is relative to at least one element of Y. This relation between elements of two sets is called function.
Addition of two functions : If f(x) & g(x) be two functions, then
(f+g)(x) = f(x)+g(x)
What is the required result ?Given, k(x) = 5x-6
Now, Adding function k with k we get,
(k+k)(x) = k(x)+k(x)
= (5x-6)+(5x-6)
= 5x-6+5x-6
= 10x-12
We have to find, (k+k)(4)
∴ (k+k)(4) = (10×4)-12
= 40-12
= 28
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The short leg of a 90-45-45 triangle is 5. What is the long leg and the hypotenuse?
The long leg and the hypotenuse of the isosceles right triangle will be 7.07 units.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The short leg of a 90-45-45 triangle is 5.
The right triangle is an isosceles right triangle. Then the two side will be same.
Then the long leg and the hypotenuse will be
H² = 5² + 5²
H² = 25 + 25
H² = 50
H = 7.07 units
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An automobile tire has a diameter of 59m. What is the circumference of the tire
185.4m (rounded to 1dp)
Circumference of a circle is the diameter times by pi. 59×pi=185.4
Answer:
59 meters
or approximately 185.26 ( using 3.14 for pi)
or 185.3539666 meters using the pi button
Step-by-step explanation:
The circumference is given by
C = pi *d where d is the diameter
C = pi * 59 m
C = 59 pi meters
We can approximate pi by 3.14
C =185.26 meters
or by using the pi button the calculator
185.3539666 meter
If anyone can help me to solve this.
Answer:
1) x + 96 = 90°
2) x + 89 = 80°
Step-by-step explanation:
Consecutive Interior Angles Theorem
When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).
Question 1To find the measure of the angle circled on the diagram, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 96)° + (x + 96)° = 180°
⇒ x + 96 + x + 96 = 180
⇒ 2x + 192 = 180
⇒ 2x + 192 - 192 = 180 - 192
⇒ 2x = -12
⇒ 2x ÷ 2 = -12 ÷ 2
⇒ x = -6
Substitute the found value of x into the expression to find the measure of the angle circled on the diagram:
⇒ x + 96 = -6 + 96 = 90°
⇒ x + 96 = 90°
Question 2To find the measure of the angle circled on the diagram, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the expression to find the measure of the angle circled on the diagram:
⇒ x + 89 = -9 + 89
⇒ x + 89 = 80°
Answer:
[tex]\boxed {1) 90^{o}}\\\boxed {2) 80^{o}}[/tex]
Step-by-step explanation:
Part 1 :
x + 96 + x + 96 = 180 (angle pairs of a line)2x + 192 = 1802x = -12x = -6∠ = -6 + 96∠ = 90°Part 2 :
x + 109 + x + 89 = 180 (same reason)2x + 198 = 1802x = -18x = -9∠ = -9 + 89∠ = 80°27.9km to the nearest km
Answer: It rounds to 28 km
Explanation:
The units or ones digit is "7". The next digit over (9) is five or larger. This means we bump the 27 up to 28. Everything after the 7 is ignored.
So we could have something like 27.999871212512 and we still follow the same idea of focusing on the 27, bumping it up to 28, and everything else gets ignored.
The reason for this is because 27.9 is much closer to 28 than it is to 27. Draw out a number line to help see this. Split the region from 27 to 28 into 10 equal pieces. The 9th little piece represents 27 & 9/10 aka 27.9
Refer to the number line diagram below.
The factors of 25x4 − 49y2 are
Answer:
1
Step-by-step explanation:
49 is divisible by 7, 1, 49. 25 is divisible by 5, 1, 25. they are exclusively prime so the highest factor is 1 and the only
Answer:
Step-by-step explanation:
[tex]25x^4-49y^2=(5x^2)^2-(7y)^2\\=(5x^2+7y)(5x^2-7y)\\=(5x^2+7y)[(\sqrt{5} x)^2-(\sqrt{7y} )^2]\\=(5x^2+7y)(\sqrt{5} x+\sqrt{7y} )(\sqrt{5} x-\sqrt{7y} )[/tex]
Complete the following table using the equation: Y = negative 2 x Squared x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (0, 0), and goes through (1, 2). Graph B On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 1), has a vertex at (0, 0), and goes through (1, negative 1). a. 8, 2, 0, 2, 8; Graph A b. -8, -2, 0, -2, -8; Graph A c. 8, 2, 0, 2, 8; Graph B d. -8, -2, 0, -2, -8; Graph B Please select the best answer from the choices provided A B C D
The Graph B best represents a parabola , Option D has the correct data points and so is the right answer.
What is a function ?A function is a mathematical way of representing relation between two variables.
The function given is
y = 2x²
For x = - 2, y = -2(- 2)² = -8
For x = - 1, y = -2(- 1)² = -2
For x = 0, y = -2(0)² = 0
For x = 1, y = -2(1)² = -2
For x = 2, y = -2(2)² = -8
the table of x-y will be:
x - 2 - 1 0 1 2
y -8 -2 0 -2 -8
The graph is attached with the answer.
The parabola opens downward and has the data points as mentioned above .
Therefore Option D is the correct answer.
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Answer:
Step-by-step explanation:
Complete the following table using the equation: y = 2 x squared
x
-2
-1
0
1
2
y
Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (1, 3), has a vertex at (0, 0), and goes through (1, 3).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 1, negative 2), has a vertex at (0, 0), and goes through (1, negative 2).
a.
8, 2, 0, 2, 8; Graph A
b.
-8, -2, 0, -2, -8; Graph A
c.
8, 2, 0, 2, 8; Graph B
d.
-8, -2, 0, -2, -8; Graph B
Please select the best answer from the choices provided
A
B
C
D
answer is '' a ' got it right
can i charge my hp laptop more than 1000 times
Answer: Yes.
Step-by-step explanation: However, charging your battery to high voltages except for the first time can significantly decrease your battery's lifespan. According to some studies charging a battery to only 85% to 90% can improve its discharge cycle from 300 to even an extra 1000 recharges.
Which of the numbers below are whole numbers? Check all that apply.
A. 6830
B. 66
C. 717.59
D. 808
E. 42.3
F. 1/10
Step-by-step explanation:
Anything which has a decimal point is not a whole number
6830 is
66 is
717.59 is not
808 is
42.3 is not
1/10 = 0.1 ergo is not
complete the pattern 2, 6, 21, 88, ...
Answer:
445
Step-by-step explanation:
I think it is 445 because each term is +1 and time is the number of terms you want to find.
So
(2+1) time 2 = 6
(6+1) time 3 = 7
(88+1) time 5 = 445
PLEASE HELP!!!!!!!!!
The equivalent expression to ∑n(n+1) is ∑n²+∑n.
What is Equivalent expression?Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.
Here, given expression;
∑(n(n+1))
= ∑ (n² + n)
= ∑n²+∑n
Thus, the equivalent expression to ∑n(n+1) is ∑n²+∑n.
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John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to feet per second_
O 250.33 feet per second
Answer:
Step-by-step explanation:
Givens
r = 14 miles / hour
Problem
Convert to feet per second.
Solution
Later on, you will learn how to solve these kinds of conversion problems using a method called Unit Analysis. Since you likely have not been taught this method, will just use proportions.
1 mile = 5280 feet
14 miles = x Cross multiply
x = 14 * 5280 Simplify
x = 73920 feet
1 hour = 3600 seconds
Answer
r = 73920 feet / 3600 seconds
r = 20.533 feet / secpmd
Evaluate the expression. 7^14/7^15 Evaluate the expression . 714 715
Answer:
1/7
Step-by-step explanation:
Alternative Form: 0.142857, 7^-1
A cab company charges a $5 boarding rate in addition to its meter which is $3
for every mile. What is the equation of the line that represents this cab
company's total charge?
Re
co
Answer:
m3+5
Step-by-step explanation:
m is miles
take the number of miles multiply by3
take that answer add 5
The equation that represents the cab's total charge is y = 3x + 5 , Option A is the correct answer.
What is an Equation ?A statement that relate two expressions with an equal sign is called an Equation.
It is given that
A cab company charges a $5 boarding
Charges for every mile is $3 per mile
Let x be the mile travelled
The cab's total charge is represented by y
then y = 3x + 5
Therefore the equation that represents the cab's total charge is y = 3x + 5 , Option A is the correct answer.
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Which describes how the parent function, f(x) = |x|, is transformed to show the function
f(x) = 0.1|x – 3|?
It is wider and shifted 3 units to the left.
It is wider and shifted 3 units to the right.
It is narrower and shifted 3 units to the left.
It is narrower and shifted 3 units to the right.
It is wider and shifted 3 units to the left , Option A is the right answer.
What is a Function ?Function is a mathematical statement that shows relation between two variables.
The parent function given is
f(x) = |x|
The transformed function is given by
f(x) = 0.1|x -3|
The function is shifted towards the left
and as the scale factor is 0.1 therefore , It is wider
Therefore Option A is the right answer.
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Answer:
The answer for this is B.
Step-by-step explanation:
Figured it out the hard way on EDGE. 2022
(╯‵□′)╯︵┻━┻
The ratio of apples to oranges is 1 to .
For every apples, there are 6 oranges.
For every 4 apples, there are oranges.
Apples are % of the total number of fruits.
2.
Julia grows flowers in a garden that is the shape of a rectangle. The side lengths of
the garden are shown in the diagram.
5½⁄2 feet
3 feet
Which of these is equal to the area of the garden? Select all that apply.
A. 8
square feet
1
B.
5
feet x 3 feet
2
C.
151/11
square feet
D. 16
16¹ square feet
E. 5 feet +
11/12
F. (5 feet x 3 feet) +
foot + 3 feet
for
foot
The area of the rectangular garden given the length and width is 16 1/2 square feet
Area of the gardenLength = 5 1/2 feetWidth = 3 feetArea of a rectangular garden = length × width
= 5 1/2 feet × 3 feet
= 11/2 × 3
= 33/2
= 16 1/2 square feet
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If 1000 pencils cost $20, how much
would ten pencils cost? Can somone explain
Answer:
1000 pencils = $ 20.
10 pencils = ?
10 * 20 / 1000
200/1000
2/10
1/5
0.5.$
Answer:
$0.20
Step-by-step explanation:
If 1000 pencils cost $20, then we must first find the unit rate.
20/1000 = 0.02, so it costs $0.02 for each pencil. To find out what ten pencils cost, we multlipy 0.02 by 10.
0.02 * 10 = 0.2, or $0.20.
Brainliest, please :)
Select the correct answer.
Choose the system of inequalities that best matches the graph below.
Answer:
Its A
Step-by-step explanation:
I said so
This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!
Step-by-step explanation:
[tex] \frac{5 {}^{ - 4x + 7} }{125 {}^{x} } [/tex]
[tex] \frac{5 {}^{ - 4x + 7} }{5 {}^{3x} } [/tex]
[tex]5 {}^{ - 4x + 7 - 3x} [/tex]
[tex]5 {}^{ - 7x + 7} [/tex]
Which equation is equivalent to log3(x+5) = 2
Answer:
[tex]3^2=x+5[/tex]
Step-by-step explanation:
Given equation:
[tex]\log_3(x+5)=2[/tex]
Method 1
[tex]\textsf{Using the Log law:} \quad \log_ab=c \:\: \Longleftrightarrow \:\: a^c=b[/tex]
[tex]\implies \log_3(x+5)=2[/tex]
[tex]\implies 3^2=x+5[/tex]
Method 2
Make both sides of the equation the index to base 3:
[tex]\implies \log_3(x+5)=2[/tex]
[tex]\implies 3^{\log_3(x+5)}=3^2[/tex]
Apply the log law [tex]a^{\log_ax}=x[/tex] :
[tex]\implies x+5=3^2[/tex]
Swap sides:
[tex]\implies 3^2=x+5[/tex]
Solve for x
Although the question hasn't asked to solve for x, here is the solution:
[tex]\implies 3^2=x+5[/tex]
[tex]\implies 9=x+5[/tex]
[tex]\implies x=9-5[/tex]
[tex]\implies x=4[/tex]
Check
Substitute the found value of x into the original equation:
[tex]x=4 \implies \log_3(4+5)=\log_39=2 \quad \leftarrow\textsf{correct}[/tex]
[tex]\\ \rm\Rrightarrow log_3(x+5)=2[/tex]
log_a^b=c then b=a^c[tex]\\ \rm\Rrightarrow x+5=3^2[/tex]
[tex]\\ \rm\Rrightarrow x+5=9[/tex]
[tex]\\ \rm\Rrightarrow x=9-5[/tex]
[tex]\\ \rm\Rrightarrow x=4[/tex]
Help my son please!!!
Answer:
that makes no sence at all i read it over 3 times and still font understand a word of it
sorry :(
area of a trapezium base 8 top6 height 4
The area of a trapezium with base 8 top 6 height 4 is 28 cm².
Given that, base of trapezium (b)=8 cm, top of trapezium (a)=6 cm and height of trapezium = 4 cm.
What is the area of a trapezium?
The trapezium is a quadrilateral with pair of sides parallel. The area of a trapezium is the area enclosed within its four sides.
We know that area of a trapezium [tex]=\frac{1}{2}(a+b) \times h[/tex]
Where a and b are parallel sides of a trapezium.
Now, the area of a given trapezium [tex]=\frac{1}{2}(6+8) \times 4[/tex] cm²
=14×2=28 cm²
Therefore, the area of a trapezium with base 8 top 6 height 4 is 28 cm².
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