[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]
[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]
Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $300 per week, and spends $40 each week on his expenses. If he wants to save a total of at least $2,600, how many weeks at minimum does he have to work for in order to reach his goal?
Answer:
10 Weeks
Step-by-step explanation:
If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260..... 260x10=1200 So he would have to work 10 weeks at a minimum.
The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.
What is unitary method?The unitary method is used to find the value of a single unit from a given multiple.
For example, the price of 40 pens is Rs. 400
It should be noted that the concept of ratio and proportion is used for problems related to this method.
According to questions,
He makes $300 per week
and spends $40 each week on his expenses.
Therefore his total savings per week = $300 - $40
= $260.
Also he wants to save a total of at least $2,600.
Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260
= 10 weeks.
Hence the required number of weeks = 10 weeks.
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If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7
[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]
Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)
−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false
Answer:
−2≤−2 True
6.1<6.1 False
5.6≥5.6 True
5.6≥5.6 True
−4>4 False
Step-by-step explanation:
Hence, all the statements are true except option (4).
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.
[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].
Hence, all the statements are true except option (4).
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how many drinks are contained in a 60 ounce pitcher
Answer:
fill three pint glasses, five 12-ounce glasses or six 10-ounce glasses.
Step-by-step explanation:
One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are there in 3/4 inches?
Answer:
1.905
Step-by-step explanation:
I need help with solving this with synthetic division
Answer:
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.
Step-by-step explanation:
Set up the synthetic division.
Bring down the leading coefficient to the bottom row.
Multiply c by the value just written on the bottom row.
Add the column created in step 3.
Answer pls in standard form too
Answer:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0
Step-by-step explanation:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.
which angles are correspoding angles
Answer:
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.
Answer 1 and 2 seriously please.
Answer:
Step-by-step explanation:
1
(x+3)+(x-1)+(x+1) = 90°
3x + 3 = 90°
3x = 90 - 3
3x = 87
x = 87/3
x = 29°
2
x + (x+104) = 180°
2x + 104 = 180°
2x = 180 - 104
2x = 76
x = 76/2
x = 38°
Is that the right answer plzzzz help meee
Answer: Yes
Step-by-step explanation:
Yes area should be right because you are finidng how much it covers which would be area. A way I used to remember it was you looking for the AREA it covers so that awnser is area! Hope that helped!
To make I a subject of the formula V = IR, we *
subtract R from both sides
multiply both sides by R
divide both sides by R
divide both sides by I
The original
Equation is V = IR
Where I is multiplied by R
To solve for I you need to isolate it by dividing both sides by R
I = V/ R
Answer: divide both sides by R
Answer:
To make I a subject of the formula V = IR, we divide both sides by R.
Step-by-step explanation:
V = IR
V/R =IR/R
The R in IR/R cancels out because it is on the other side.
We then have:
V/R = I
Which can be written as:
I = V/R
Hope this helps! Have a great day!
write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2
Answer:
y=7x-65
Step-by-step explanation:
Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???
Answer:
1 decilitre
Step-by-step explanation:
You can look up charts for these. Look up litre chart
m(arc DE)=105 and M(arc BC)=70 Find M
Answer:
a. 70
Step-by-step explanation:
bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat
5/8 ,2/12 ,8/10 least to greatest
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
2/12 = 0.16
5/8 = 0.625
8/10 = 0.80
Which of the following rational functions is graphed below?
Considering the asymptotes, the rational function given below is the following:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:
x(x + 2).
The function has no x-intercepts, hence the numerator is of 1. So the function is given by:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
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the equation of the line which passes through the point (0,5) and has a gradient of 4 is
Answer:
y = 4x + 5
Step-by-step explanation:
slope = m = 4
y-intercept = b = 5
y = mx + b
y = 4x + 5
x/2 = y/3
find value of x, y if x+y =30
Answer:
x=12, y=18
Step-by-step explanation:
are 3x + 2 and 3 (x + 2 ) equal
Answer:
No
Step-by-step explanation:
Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.
Given the function below find f(0).
f(x)=x2−3x+5
Group of answer choices
-5
0
5
10
Answer:
5
Step-by-step explanation:
f(x) = x² - 3x + 5
f(0)
putting x as 0 in the equation
f(0) = 0² - 3(0) + 5
= 0 - 0 + 5
= 5
Nicholas borrowed $4 from his mother each of the last three months . How much money do owe his mother?
Multiply 4 by 3 to represent the amount he borrowed to the amount of months he did this.
4 x 3 = 12
So, he owes his mother 12 bucks.
3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse
the answer is assocative
[tex] \huge \bf༆ Answer ༄[/tex]
The property shown in the given question is an example of B. Associative property
[tex] \sf3(4 \times 6) = (3 \times 4)6[/tex]What math do high schoolers learn? Do they only learn trigonometry, geometry and equations?
Answer:
trigonometry
Step-by-step explanation:
hopes this helps
Answer:
This depends on the level they are at. For example, I am a 7th grader in Algebra 1 Honors, but most students take Algebra 1 in high school. Classes range from Algebra 1 - Calculus in High school.
Step-by-step explanation:
all objects with mass have momentum. true or false
Answer:
False
Step-by-step explanation:
Even though I said that, an object that moves with a velocity has momentum but on the other way around as far the object is at rest the object will have a momentum of zero a.k.a no momentum.
Find the 9th term of geometric sequence whose first term is 2 and common ratio is 2
520
512
506
256
Why is the addition or subtraction of k to the output of a function considered a translation?
Answer:
k translates a function up or down
Step-by-step explanation:
hope this helped :)
Complete the table of values for x-y=6
On the grid, draw x+y=6
Answer:
couldnt draw sorry but heres the answers for a
Step-by-step explanation:
for x = -2
x+y= 6
-2+8=6
so y=8
for x=-1 do the same and y= 7
for x =0 y=6
for x=1 y=5
for x=2 y=4
for x=3 y=3
A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?