Answer:
(-3/2, -1) and (4, 10)
Step-by-step explanation:
Given the simultaneous equations
y = 2x^2 – 3x - 10 ... 1
2x - y = -2 .... 2
From equation2;
-y = -2-2x
y = 2x+2 ..... 3
Substitute 3 into 1
Recall y = 2x^2 – 3x - 10
2x+2 = 2x^2 – 3x - 10
Collect like terms
2x^2 – 3x - 10 - 2x -2 = 0
2x^2 – 5x - 12 = 0
2x^2 – 8x+3x - 12 = 0
2x(x-4)+3(x-4) = 0
(2x+3)(x-4) = 0
2x+3 = 0 and x-4 = 0
2x = -3 and x = 4
x = -3/2 and x = 4
Recall that
y = 2x+2
when x = -3/2
y = 2(-3/2) + 2
y = -3+2
y = -1
when x = 4
y = 2(4)+2
y = 8+2
y = 10
Hence the solutions are (-3/2, -1) and (4, 10)
911÷406 con operaciones
Answer:
2.24384236453
Step-by-step explanation:
division/división
Answer:
Step-by-step explanation:
2.24384236453 divicion y divicion
Can someone help me. The picture is attached. Thank you :) I will give brainliest
Answer:
5
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] = [tex]\sqrt[3]{5^3}[/tex] = 5
2. Juan Pablo makes an hourly salary of $15 and time-and-a-half for any hours over 40. Last week he worked 45 hours. Explain how you would calculate his weekly gross pay, his Social Security Tax (6.2%), and his Medicare tax (145N). You don't need to actually calculate the values, just explain what mathematical processes you would use and why
Answer:
Gross = $712.5
Social security = $44.175
Medicare = $10.33125
Step-by-step explanation:
Given that :
Hourly pay = $15
Hours over 40 = 1.5 * $15 = $22.5
Total hours worked last week = 45
Total pay :
(40 * $15) + (45 - 5)*$22.5
$600 + $112.5
= $712.5
Hence, weekly gross pay = $712.5
Social security tax percent =(6.2%)
0.062 * gross = 0.062 * $712.5 = $44.175
Medicare tax percent = (1.45%)
0.0145 * $712.5 = $10.33125
15. Which statements are true about
square EFGH? Select all that apply.
20.
P
E
н
A FP=2(EG)
© MZEFH = 45
DFH I EG
B) EP= EH
Answer:
[tex]EG \perp FH[/tex]
[tex]m\angle EFH = 45^\circ[/tex]
Step-by-step explanation:
Given
See attachment for square EFGH
Required
Select the true statements
The sides of the square are EF, FG, GH and HE while the diagonals are: EG and FH
The diagonals of a square meet at [tex]90^\circ[/tex] . This implies that: EG and FH are perpendicular i.e. [tex]EG \perp FH[/tex]
Also, the diagonals divide the angles at the edges ([tex]90^\circ[/tex]) into two equal angles ([tex]45^\circ[/tex])
This means that:
[tex]m\angle EFH = 45^\circ[/tex]
The other two options are false.
i.e.
[tex]EP \ne EH[/tex]
[tex]FP \ne 2(EG)[/tex]
Answer:
Step-by-step explanation:
Combine like terms.
y+3+2(y + 3) =
Please i need this for now
Answer:
3y+9
Step-by-step explanation:
The rectangle below has an area of 49-x^249−x 2 49, minus, x, squared square meters and a width of 7+x7+x7, plus, x meters. What expression represents the length of the rectangle?
Answer:
7-x meters
Step-by-step explanation:
Answer: (7-x)
Step-by-step explanation: khan
HURRY PLEASE!!!
Divya and Miguel were asked to find an explicit formula for the sequence 80\,,\,40\,,\,20\,,\,10,...80,40,20,10,...80, comma, 40, comma, 20, comma, 10, comma, point, point, point, where the first term should be h(1)h(1)h, left parenthesis, 1, right parenthesis. Divya said the formula is h(n)=80\cdot\left(\dfrac{1}{2}\right)^{{n-1}}h(n)=80⋅( 2 1 ) n−1 h, left parenthesis, n, right parenthesis, equals, 80, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript, and Miguel said the formula is h(n)=160\cdot\left(\dfrac{1}{2}\right)^{{n}}h(n)=160⋅( 2 1 ) n h, left parenthesis, n, right parenthesis, equals, 160, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript.
Answer: The answer is 80 * 1/2 ^ (n - 1) or 80 * 1/2(n-1)
Step-by-step explanation:
srry I don’t know which one I get confused
Answer:
The answer is 80 * 1/2 ^ (n - 1)
Step-by-step explanation:
3x+2.2is equal to x=1.7
Answer:
7.3 answer
Step-by-step explanation:
x=1.7
now
3x+2.2
3×1.7+2.2
7.3
What is 46x15?? Thank you so much!
Answer:
i think its a uhhh i think its a carrot..
Step-by-step explanation:
What is the domain of the function represented by the graph?
4
1
2-+
X
-2
TUL
NELL
A. X54
OB. all real numbers
C.
X20
OD
OsXs4
Answer:
Option C x>0
GOOD LUCK FOR THE FUTURE ! :)
All real numbers (In interval form (-∞,∞) )
What is domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). This set is the values that the function shoots out after we plug an x value in.
here, we have,
Given,
From the graph,
To find the domain of the function.
Now,
We know that a domain of a function is the set of the all the x-values for which the function is defined.
By looking at the graph of the function we see that it is a graph of a upward open parabola and the graph is extending to infinity on both the side of the x-axis this means that the function is defined all over the x-axis i.e. for all the real values.
Also, we know that the function will be a quadratic polynomial since the equation of a parabola is a quadratic equation and as we know polynomial is well defined for all the real value of x.
The domain of the function is:
Hence, All real numbers (In interval form (-∞,∞) )
Learn more about Domain at:
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Write an inequality relating NM and NL-
NM < NL
NM<_ NL
NM > NL
NM>_ NL
Answer:
NM > LN
Step-by-step explanation:
Here, we want to write an inequality
we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively
as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;
So we can conclude that;
NM > LN
Answer:
NM > LN
Step-by-step explanation:
Here, we want to write an inequality
we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively
as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;
So we can conclude that;
NM > LN
Whoever gives me the correct answer to this will get a brainlest
I need the answer ASAP!
Volume of cone= 1/3πr^2h
8842.24 m^3= 1/3πr^2h
1/3*3.14*33*r^2= 8842.24m^3
r^2 = 8842.24*3/3.14*33
r^2= 26526.72/103.62
r^2 = 256
r= √256
r= 16m
Hope it helps. Please mark brainliest.
what do u do when the question says what is an area of the rectangle Like
Division?
Multiply?
Subtract
Or add
Answer:
multiply
Step-by-step explanation:
Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.
Expand to write an equivalent expression: -1/4(-8x+12y)
PLEASE I NEED HELP!
which is the simplified rational expression for r^2-4r+5/r-4 - r^2+2r-8/r-4
C is incorrect!
Answer:Complete the statements.
When r = 2, the first expression is . 6
When r = 2, the second expression is 6.
When r = 5, the first expression is 21.
When r = 5, the second expression is .
The expressions are not equivalent. 12
Step-by-step explanation:
i got it right on e d g e n u i t y
Step-by-step explanation:
1. Sonnie is selling her artworks in the form of stickers and bags tags for
summer vacation.
The stickers (y) cost P50 each and the bag tag (x) cost P75. She needs to sell at least P1000
worth of items.
a. Write an inequality to represent the income from the artworks sold.
b. Sonnie knows that she needs to make at least 15 stickers. Write an equality to represent this
situation,
c. Identify a solution. How many stickers and bags should Sonnie sell?
PA HELP plssssssss
Answer:
50y + 75x ≥ 1000 ;
50(15) ≥ 750;
x ≥ 4
y ≥ 15
Step-by-step explanation:
Given that :
Number of stickers sold = y
Cost of sticker = 50
Cost of bag tag = 75
Number of bag tags sold = x
Total worth of items sold ≥ 1000
1)
50y + 75x ≥ 1000
2.)
To make atleast 15 stickers
y ≥ 15
Atleast 15 stickers :
50(15) ≥ 750
3.)
A possible solution :
50(15) + 75(x) ≥ 1000
750 + 75x ≥ 1000
75x ≥ 250
x ≥ 3.33
x ≥ 4
y ≥ 15
HELP FOR BAINLIST PLEAEEEE
Answer:
its 2.3
Step-by-step explanation:
PLEASE HELP!! view attachment!!
If f(x) = x^2 + 3x – 2. find f(-2) .
f(-2) = -4
f(-2) = 4
f(-2) = -2
f(-2) = 2
Answer:
f(-2) = - 4
Step-by-step explanation:
f(x) = x² + 3x - 2
f(-2) = ( -2)² + 3 *(-2) - 2
= 4 - 6 - 2
= 4- 8
= - 4
Hope it will help :)
A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was the percentage decrease in the number of registered members?
Number of registrations a website received during July = 2500
Number of registrations a website received during August = 2245
Number by which the registrations decreased :
[tex] =\tt 2500 - 2245[/tex]
[tex] =\tt 255[/tex]
Thus, the registrations decreased by 255.
Let x be the perrcentage of decrease.
Which means :
[tex] =\tt 255 = \frac{x}{100} \: of \: 2500[/tex]
[tex] = \tt255 = \frac{x \times 2500}{100} [/tex]
[tex] =\tt 255 = \frac{2500x}{100} [/tex]
[tex] = \tt255 \times 100 = 2500x[/tex]
[tex] = \tt25500 = 2500x[/tex]
[tex] =\tt \frac{25000}{2500} = x[/tex]
[tex]\color{plum} =\tt \bold{10.2\%}[/tex]
▪︎Thus, the percentage of decrease in the number of registered members = 10.2%
Can anyone help? Thanks
Answer:
jmmbnmmnbhm
Step-by-step explanation:
5y7ik6rto8i7tipupuj
Igor and sally both tan the same distance. Igor completed The distance in two hours. His average speed was 6 mph. Sally completed the distance in four hours. What with Sally is average speed for the journey? Give your answer in miles per hour
Answer: 3mph
Step-by-step explanation:
Speed is calculated as Distance/Time.
Igor's distance = Speed × Time
= 6 × 2
= 12m
Since they ran same distance, Sally also ran 12m
Sally's speed = Distance/Time
where,
Distance = 12m
Time = 4 hours
Average speed = 12/4 = 3mph
Write 7.812 correct to 2 decimal places
Answer:
7.81.
Step-by-step explanation:
The 3rd decimal place is 2 (its < 5) so we leave the 2nd place as it is.
SUPER EASY
just. determine if function or not
Ok so basically if an input (x) has more than one output (y) it is NOT a function. One output having more than one input is okay though.
So G) is a function, bc for every x there is just 1 y
H) is not a function
I) is not a function either
Then the 6 below ( i can't read their numbers so they're just gonna be 1-6, top 3 from left to right then the bottom three from left to right)
1. function
2. not a function
3. function
4. function
5. not a function
6. not a function
i might be wrong, but i hope this helps!
Answer:
G-Function, H-Not a function, I-Not a Function
Step-by-step explanation:
G is the only one that doesn't repeat its x values
Graph the relation. Is the relation a function? Why or why not?
{(-5, 6), (-2, 3), (3, 2), (6, 4)}
Yes; there is only one domain value for each range value.
Yes; there is only one range value for each domain value.
No; a domain value has two range values.
No; a range value has two domain values.
Answer:
Yes; there is only one range value for each domain value.
Step-by-step explanation:
For a relation to be a function, every input, x-value, needs to have a unique output, y-value. This means that one x-value cannot have multiple y-values. So, in a function x-values will never repeat. Since x-values do not repeat in this relation, it is a function.
Which relation is a function?
{(5, 0), (–8, –5), (–8, 5), (–5, –8)}
{(5, 0), (0, 5), (–5, –5)}
{(5, 0), (0, –8), (5, –5)}
{5, 0, –8, –5}
Jorge's soccer team is having its annu fundraiser. The team hopes to earn no less than three times as much as it did last year. This year the team earned $87. Write and solve an inequality to represent the team's earnings from last year.
Step-by-step explanation:
Last year, Jorge's team earned $87. This year it wants to earn three times that amount. Therefore:
Goal for this year = 3 x (Last year's earning) = 3 x $87 = $261.
Nine identical cakes weigh a total of 20¼ pounds. How much does each cake weigh? Simplify.
Answer:
[tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
20 1/4 = 20.25
20.25/9 = 2.25
2.25 = [tex]2\frac{1}{4}[/tex]
Each cake weighs 2.25 pounds.
The weight of each cake will be equal to 2(¹/₄).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
A mixed expression, also known as a complex fraction, is a fraction that contains a fraction in the numerator, the denominator, or both the numerator and the denominator.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Nine identical cakes weigh a total of 20¼ pounds.
20(¹/₄) = 20.25
20.25/9 = 2.25
2.25 = 2(¹/₄).
To know more about an expression follow
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I’ll give the first person to respond brainly :)
How is an exponential growth function of the form f(x)=a(1+r)x related to an exponential function of the from f(x)=a•bx?
When adding two mixed numbers, you should add the ignore the fractions and add the mixed numbers first.
True
False
Answer:
FALSE
.....
I think?