Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.
Answer:
Step-by-step explanation:
here you go mate
step 1
-2(-4x-1)-x+3=−30 equation/Question
step 2
-2(-4x-1)-x+3=−30 distribute
7x+5=-30
step 3
7x+5=-30 subtract 5
7x=-35
step 4
[tex]\frac{7x}{7} =\frac{-35}{7}[/tex] divide
answer
x=-5
Answer:
-2(-4x-1)-x+3=-30
8x+2-x+3=-30
7x+5=-30
7x=-30-5
7x=-35
x=-35÷7
x=-5
Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−17x+1067 y=−17x+10
Answer:
[tex]\huge\boxed{y=-\frac{1}{7}x+ 10}[/tex]
Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)B) We can substitute a point inside an incomplete equation to try and find a missing value.So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
Reciprocal of 7: [tex]\frac{1}{7}[/tex] Opposite of [tex]\frac{1}{7}[/tex]: [tex]-\frac{1}{7}[/tex]So the slope of this line will be [tex]-\frac{1}{7}[/tex]. The y-intercept will change, and we can substitute what we know into the equation [tex]y=mx+b[/tex].
[tex]y = -\frac{1}{7}x+b[/tex]
Now, we can substitute a point on the graph (14, 8) into this equation to find b.
[tex]8 = -\frac{1}{7} \cdot 14 + b[/tex] [tex]8 = -\frac{14}{7} + b[/tex] [tex]8 = -2 + b[/tex] [tex]b = 10[/tex]Now that we know the y-intercept, we can finish off our equation by plugging that in.
[tex]y = -\frac{1}{7}x + 10[/tex]
Hope this helped!
Answer:
y=−17x+10
Step-by-step explanation:
shorter version
When rationalizing the denominator we multiply by the value of________.
A. 0
B. 1
C. 2
D. 3
Answer: You can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator.
Hoped this was helpful!
A scale drawing of a living room is shown below:
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
17 ft2
41 ft2
495 ft2
103 ft2
Answer:
103 ft.
Step-by-step explanation:
Answer:
TrIaNgLe
Step-by-step explanation:
Substitute x=5y into the expression -3x + 11 and simplify
Answer:
-15y+11
Step-by-step explanation:
-3(5y)+11
-15y+11
In Randy's town all stand alone store front signs must be exactly 8 feet high. When mounted atop a pole , the combined height of the sign and pole must be less than 20 feet or greater than 35 feet so that they dont interfere with the power and phone lines. Write a compound Inequality to represent the possible above ground height of the pole.
Answer:
[tex]x<12[/tex] or [tex]x > 27[/tex]
Step-by-step explanation:
Given
[tex]Lower\ Bound = 20[/tex]
[tex]Upper\ Bound = 35[/tex]
[tex]Height = 8[/tex]
Required
Represent as a compound inequality
Let the pole height be x:
So, the combine height of the pole and the sign is [tex]x + 8[/tex]
The height must be less than 20ft.
So, we have:
[tex]x + 8 < 20[/tex]
Subtract 8 from both sides
[tex]x + 8 - 8 < 20 - 8[/tex]
[tex]x < 20 - 8[/tex]
[tex]x<12[/tex]
or The height must be less than35ft
So, we have:
[tex]x + 8 > 35[/tex]
Subtract 8 from both sides
[tex]x + 8 - 8 > 35 - 8[/tex]
[tex]x > 35 - 8[/tex]
[tex]x > 27[/tex]
So, the compound inequality is:
[tex]x<12[/tex] or [tex]x > 27[/tex]
(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What type of random variable is X
Answer:
let me think
Step-by-step explanation:
i want free points
Helppppppppp!!!!!! Please
Answer:
x = 4.99°
Step-by-step explanation:
Reference angle = x
Opposite side to x = 20 cm
Hypotenuse = 230 cm
Applying trigonometric ratio formula, we would have the following equation:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
Plug in the values
[tex] sin(x) = \frac{20}{230} [/tex]
[tex] x = sin^{-1}(\frac{20}{230}) [/tex]
x = 4.99° (approximated to nearest hundredth)
What should be done first to simplify the expression?
7 - 4 × (3 + 3)2 + 5
Add 5.
Subtract 4 from 7.
Multiply 4 and 6.
Add 3 and 3.
Answer:
3 plus 3
Step-by-step explanation: its in the parenthesis
Answer:
You have to add 3 and 3 first. That has to be done first.
Homework Help! ASAP
Question: A 64-ounce bottle of apple juice cost $5.76. A 15-ounce bottle of apple juice costs $1.80. Which item costs less per ounce?
Write the rate for each bottle 64-ounce bottle:
15-ounce bottle:
b. Write the unit rates.
c. Which item cost less per ounce?
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
This is literally my hole grade and I need help this is what it looks like-
Answer:
Muhammed
Step-by-step explanation:
A school has a capacity of 965 students. If 541 students are already enrolled in the school, how many students remain? Round to the nearest ten.
Answer:
420 students
Step-by-step explanation:
965-541=424
round to the nearest ten and you get 420
i hope this helped, please mark this as brainliest! thanks
Answer:
The answer is 420
Step-by-step explanation:
You first do the equation 965 - 541. The answer to that is 424, but when you round it to the nearest ten, the answer would be 420.
Is the point (4,2) a solution of the equation y = 3x - 13?
No
Yes
Please answer this correctly without making mistakes
Answer:
2 pt + 1c
Step-by-step explanation:
There are 2 cups in a pint. So, 2c = p, dividing 2 from both sides, we get
c = (1/2)p
Replace c with 1/2 p in the equation
5 pt - (2pt + (1/2)p)
= 5pt - 2pi - (1/2)p
= 3pt - (1/2)p
= 2pt + (1/2)p
Replace back (1/2)p for c
2pt + (1/2)p =
2 pt + 1c
A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?
102 - Harder brackets
Find an expression without brackets
for the area of each rectangle.
(x + 3)
area =
12)
No
calc
р
(-9)
Total
area =
121
Answer:
For figure 1:
Area of rectangle = 7x + 21
For figure 2:
Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Step-by-step explanation:
We need to find area of rectangle
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
For figure 1:
Length = 7
Width = x+3
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]
So, area of rectangle = 7x + 21
For figure 2:
Length = p
Width = p-9
Putting values in formula and finding area of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]
So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]
Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.
Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.
Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .
Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.
The answer is C hope it helps
Find the slope between the two given points A(3,7), B(9,-5)
Answer:
Slope= -2
Step-by-step explanation:
If my puppy either 8 pounds when we first got her and now sieges 21 what is the percent change of her weight
What is the sum (-19X10) + 7
Answer:
-19×10= -190
-190+7= -183
Jimmy bought a sandwich. The price is $5 when he got the receipt he needed to pay 6% taxes, and he left a 10% tip how much did he spend?
Answer:
$5.8
Step-by-step explanation:
0.3 + 0.5 + 5 = 5.8
pls help I will give brainleist and all my points! but you can only get the points if you actually answer!!!!!
Answer:
y(6 1/4) = 11 3/4
Step-by-step explanation:
I hope this helps!! Also sorry if I'm wrong....
Please help me!!!!!!!!!!!!!!!!!!!!!
fill in the blanks please!!
Words you can use are in the picture.
1. A comparison of one number to another by division is a ________.
2.________ name the same comparison.
3. A ratio that compares quantities with different units is a ________.
4. A _______ is a ratio, or rate, that compares a number to 100
5._______ a fraction or a ratio by dividing the numerator and denominator by a common factor.
Answer:
1. Ratio
2. Equivalent Ratios
3. Rate
4.Percent
5.Simplify
What is the length of CD to the nearest tenth?
Answer: 9.4
Step-by-step explanation:
if you see on the screenshot if you draw a line between the 2 it mesures 9.4
Answer:
9.4
Step-by-step explanation:
Did the diagnosic
please help !!!! urgent
Answer:
[tex]P(x) = 16x - 100 - 0.1x^2[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 46x[/tex]
[tex]C(x) = 100 +30x +0.1x^2[/tex]
Required
Determine the profit function
This is calculated as follows:
[tex]P(x) = R(x)- C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 46x - (100 + 30x + 0.1x^2)[/tex]
Open bracket
[tex]P(x) = 46x - 100 - 30x - 0.1x^2[/tex]
Collect like terms
[tex]P(x) = 46x - 30x - 100 - 0.1x^2[/tex]
[tex]P(x) = 16x - 100 - 0.1x^2[/tex]
The points (-5, -31) and (3,r) lie on a line with slope 4. Find the missing coordinate r
Answer:
-7
Step-by-step explanation:
Solve (9 - 3 x 2)^2 someone help me please im failing
Answer:
9
Step-by-step explanation:
Using PEMDAS, we do what inside the parentheses first.
Multiplication before subtraction:
9-6 = 3.
Finally, 3^2 = 9
At Smith’s Bike Rentals, it cost $27 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use
Answer:
$4.50 per hour
Step-by-step explanation:
Step 1: 27 divided by 6 is 4.50
Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27
You can just pick one or something anything is appreciated