Answer: No solutions
Step-by-step explanation:
[tex]\large \bf \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex] [tex]\large \boldsymbol{} \bf 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]
If [tex]f(x-1)=2x+3[/tex] for all values of x, what is the value of [tex]f(-3)[/tex]
[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]
Think about the value f(x-1) and f(-3).f(-3) can be written in the form of f(x-1) .How?
[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]
As -3=-2-1Let's find x then
[tex]\\ \sf\Rrightarrow x-1=-3[/tex]
[tex]\\ \sf\Rrightarrow x=-3+1[/tex]
[tex]\\ \sf\Rrightarrow x=-2[/tex]
Now Substitute it in the function[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-1[/tex]
can u answer this question?
Step-by-step explanation:
sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.
if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.
really, that is all that is there to it.
so,
|11| = 11
|-12| = 12
no big magic, no mystery, no tricks or formulas to know.
it just is ...
A balanced scale has 3 marbles, 2 pennies, and 4 quarters on one side and 4 marbles, 2
quarters, and 1 penny on the other side. If pennies weigh one gram and quarters weigh
3 grams, find the weight of a marble. Explain or show your reasoning.
Answer:
See image
Step-by-step explanation:
An equation is really like a scale with two equal things on both sides. You could use the idea of a scale and lift off the same amount from both sides to keep it balanced. But I will show you the algebra version. When we subtract the same thing from both sides that's how we work back to our answer while keeping the scale balanced.
Let m = weight of a marble
p = weight of a penny = 1 gram
q = weight of a quarter= 3 grams
The problem says how many of each marble, penny, quarter, then set them equal to each other. See image
Use traditional division to solve 6432 ÷ 24.
Answer:
(not my answer but) its 268
Step-by-step explanation:
Help me pls you will get brainliest
Answer: C
Look at the graph the lines meet at this point, this is the logical answer
5,3
Step-by-step explanation:
LeRoy cut a length of string into 30
pieces, all the same length. If each
piece of string was 13 inches long, how long was the string before he cut it?
Answer:
390 inches long
Step-by-step explanation:
The string = x
[tex]\frac{x}{30} = 13[/tex]
[tex]30 (\frac{x}{30} ) = 30(13)[/tex]
x = 390 inches
A store has 3 separate displays of color markers. There are 14 sets of color markers in each display. There are 15 markers in each set. What is the total number of markers on display?
A.) 240
B.) 630
C.) 210
D.) 633
Answer:
C.) 630
Step-by-step explanation:
14x15=210
210x3=630
See attachment for answer and math work.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
1 in : 50 mi
Step-by-step explanation:
You can eliminate the choices that don't make any sense by comparing the given numbers to the offered choices:
given:
15 in : 750 mi
__
A. 1 in : 50 mi . . . . . . . . equivalent to dividing the given ratio numbers by 15
B. 15 in : 100 mi . . . . . . same inches, wrong miles
C. 1 in : 750 mi . . . . . . . wrong inches, same miles
D. 1 mi : 50 in . . . . . . . . both inches and miles are wrong (the ratio has the units swapped)
__
In the given ratio, the numerical number of miles (750) is 50 times the numerical number of inches (15). This is the ratio you're looking for among the answer choices. You need to pay attention to both the numerical values and their associated units.
if you discovered a leaking faucet in your home , do you think it would be important to get it fixed why or why not ??
Answer:
b
Step-by-step explanation:
It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.
It is important to get a leaking faucet fixed because of the following reasons;
1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.
2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.
3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.
4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.
Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.
Learn more about Water waste here;
https://brainly.com/question/29975969
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Write the equation of the line that passes through the points (2,6) and (-5,4)
Answer:
y=2/7 x+38/7
Step-by-step explanation:
equation of the line y =ax+b;
a = 4-6/ -5-2
3. A car travels 65 miles in one hour. How many miles would the car travel in / an hour?
HELP ASAP
Answer:
A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:
(Miles/hour) * (hours) = miles
So we can just plug in the values…
65 * 5 = 325
Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.
Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."
Answer:
65
Step-by-step explanation:
If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.
Which statement is true about the function shown in the graph?
[tex]f(x) = 2 \sqrt{x + 4} [/tex]
A. The function is strictly increasing.
B. The function is strictly decreasing.
C. The function is increasing and decreasing.
D. The function is constant.
Answer:
Function is slightly increasing
Step-by-step explanation:
PLATO
Are all real numbers either rational or irrational?
Answer:
Yes. All real numbers are either rational or irrational.
Step-by-step explanation:
The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.
Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.
For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)
Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.
Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.
Write the following statements in the form of equations.
If you subtract 6 from 3 times a number, you get 18.
can someone teach me how to do this?
the formula is a_{1}+(n-1) d
so a_{1} would be the first number in the sequence, which would be 13 in problem 9.
13+(n-1)d
then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)
13+(10-1)d
then you find the difference between each number, represented by d which in this case is 3
13+(10-1)3
13+(9)3
13+27=
40
Marking brainliest
What do you thinks this means and why does it matter
they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023
What is the domain and range of this graph
Man just pay attention in school
Erika ran 3/8 mile. Maria ran 3/4 mile. Who
ran farther?
Answer:
Maria, because 3/4=.75
Step-by-step explanation:
3/4=.75
3/8=0.375
The bigger number is 3/4
Which statement is true
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.
7/13 as a decimal rounded to the nearest hundredth
Answer:
0.54
Step-by-step explanation:
Answer:
0.54
Step-by-step explanation:
calculator. easy.
What is the product of ( 4 + 3 i ) and ( 12 − 2 i )
Answer:
54 + 28i
Step-by-step explanation:
I hope this helps!!!
What value of C will complete the square below and make the expression a perfect
square trinomial?
x? – 16x + c
2
-
[tex] {x}^{2} - 16x + 64 = [/tex]
[tex] ({x - 8})^{2} [/tex]
Thus :
[tex]C = 64[/tex]
21. Here are the ingredients for raspberry ripple ice cream.
250g raspberries
225g caster sugar
2 large eggs
4 large egg yolks
600ml double cream
A mother has 5 litres of cream to make ice cream for a party. Sugar comes in 1kg bags.
How many bags of sugar will be needed?
Answer:
10 bags for 5 litres of cream of ice cream.
2 bags of sugar will be needed.
What are comparing quantities?Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
here, we have,
It is given that,
600ml of cream requires = 225g of sugar
⇒ 1 ml of cream requires = 225/600g of sugar
⇒ 5000ml of cream requires = 225/600 * 5000g of sugar
= 1875g
=1.875 kg
Hence we see that , Sugar comes in 1kg bags.
Similarly, 1.875kg of sugar = 1kg bag + 0.875kg bag
⇒ 2 bags of sugar is needed.
Therefore, 2 bags of sugar will be needed.
To learn more about Comparing quantities :
brainly.com/question/1572596
#SPJ2
Simplify and leave your answer in index form
Answer:8a^7
Step-by-step explanation:
Answer:
8a⁷ is the simplified form of 4a² x 2a⁵.Step-by-step explanation:
4a² x 2a⁵=> 4 x a² x 2 x a⁵=> 8 x a²⁺⁵=> 8 x a⁷=> 8a⁷Conclusion:
Therefore, 8a⁷ is the simplified form of 4a² x 2a⁵.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten expression? 2 7 11 12
Answer:
11
Step-by-step explanation:
Use the translation rule (x, y) --> (x -10, y + 6) to find the image of A(5, - 10).
Answer:
(-5, -4)
Step-by-step explanation:
Plugin the values:
(x, y) ⇒ (x -10, y + 6)
= x - 10, y + 6
= (5 - 10, -10 +6)
= (-5, -4)
Therefore, A prime is (-5, -4).
write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)
Answer:
y=2/3x+3
Step-by-step explanation:
parallel means it stays the same so its still 2/3
now use the equation y=mx+b
plug in the slope which is 2/3
so we get y=2/3x+b
then plug in the 2 points
1= 2/3(−3)+b
1=-6/3+b
1=-2+b
add 2 to 1 and -2
3=b
so we get y=2/3x+3
Pleaseeeeee help
And THANK YOU
[tex] \: \: \: \: \: \: [/tex]
[tex]a.) \: \: \: \: \frac{36}{5} [/tex]
[tex]d.) \: \: \: \: - \frac{ 15}{2} [/tex]
refer to the attachment for explanationhope it helps
Answer:
A= 7 1/5
D= -7 1/2
Step-by-step explanation:
Hope this helped!
This is in mixed form btw
inproper fraction:
A= 36/5
D: -15/2
2x+5+2x+3x no solution, 2x+5+2x+3x one solution, 2x+5+2x+3x infinitely many solutions
Answer:
Step-by-step explanation:
*From what I'm getting, many of the blanks have multiple numbers that would work.*
No Solutions:
First Blank: 7
Second Blank: Any number but 5
One Solution:
First Blank: Any number but 7
Second Blank: Any number
Infinitely Many Solutions:
First Blank: 7
Second Blank: 5
