Answer:
The numbers are 4 and 6
Step-by-step explanation:
Let:
x - the smaller even consecutive integer x+2 - the larger even consecutive integerwe know that
[tex]x^{2} =(x+2)+10[/tex]
solve for x
[tex]x^{2} -x-12=0[/tex]
We can use the quadratic formula for quadratics in the form [tex]ax^{2} +bx+c=0[/tex]
[tex]x= \frac{-b(+/-)\sqrt{b^{2} -4ac}}{2a}[/tex]
to give us an answer of 4 and -3
Since the question states positive and even we use 4 and that gives us 6 as the other answer
4 and 6
Answer:
4 and 6
Step-by-step explanation:
x = smaller integer
x+2 = larger integer
x² = 10 + (x + 2)
x² = x + 12
x² - x - 12 = 0
factors are:
(x-4)(x+3) = 0
x-4=0; x = 4
x+3=0; x = -3
Since the question states the numbers are even and positive we use only the 4 and the next consecutive even integer is 6
X + 9.5 = 35 what is the answer??
Answer:
x=25.5
Step-by-step explanation:
x + 9.5 = 35
Using the subtraction property of equality, we can subtract 9.5 from both sides:
x + 9.5 - 9.5 = 35 - 9.5
x=25.5
The required solution of the given equation is given as x = 25.5.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
x + 9.5 = 35
Subtract 9.5 from both sides.
x = 35 - 9.5
x = 25.5
Thus, the required solution of the given equation is given as x = 25.5.
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Solve the system of equations by the substitution method.
x+11y=51 3x+5y=13
Answer:
(-4, 5)
Step-by-step explanation:
Hi there!
We are given the following system:
x+11y=51
3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable
It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.
x+11y=51
-11y -11y
_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:
3(51-11y)+5y=13
Multiply
153-33y+5y=13
Combine like terms.
153-28y=13
Subtract 153 from both sides
-28y=-140
Divide both sides by 28
y=5
Now substitute 5 as y in 51-11y to solve for x.
x=51-11y
x=51-11(5)
multiply
x=51-55
Subtract
x=-4
The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!
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Please answer this. I will give you Brainliest.
Answer:
51
Step-by-step explanation:
[tex]\frac{w-3}{7} + 2w[/tex]
[tex]\frac{24-3}{7} + 2(24)[/tex]
[tex]\frac{21}{7} + 48[/tex]
[tex]3 + 48[/tex]
51
Answer:
51
Step-by-step explanation:
24-3=21; 2x24=48; 21/7+48= 51
I Hope this helps! :D
In an isosceles triangle the measure of one angle is 90° and base = altitude. Find the length of the hypotenuse.
Answer:
Step-by-step explanation:
hypotenuse^2=alt^2+base^2
(a)^2=x^2+x^2
a^2=2x^2
a=√2x^2
a=x√2 cm.
Answer:
hypotenuse^2=alt^2+base^2
(a)^2=x^2+x^2
a^2=2x^2
a=√2x^2
a=x√2 cm.
Step-by-step explanation:
Let f(x)=x2 2x 3. What is the average rate of change for the quadratic function from x=−2 to x = 5? Enter your answer in the box.
The average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.
What is Slope?A slope is also known as the gradient of a line or the average rate of change of a number that helps to know both the direction and the steepness of the line.
The rate of change of any function is the slope of the function, therefore, the slope of the function is written as,
[tex]m = \dfrac{y_2 - y_1}{x_2-x_1}[/tex]
As the value of the y is the function of the x, while the value of x is given, therefore,
[tex]x_2 = 5\\x_1=-2\\\\[/tex]
Now, the value of y,
[tex]y_2 = f(5) = x^2 +2x+3 = (5)^2+2(5)+3 = 38\\y_1 = f(-2) = x^2 +2x+3 = (-2)^2+2(-2)+3 = 3[/tex]
Substituting the value of x and y in the formula of the slope, we can write the slope as,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{f(x=5) - f(x=-2)}{5-(-2)}\\\\m = \dfrac{38-3}{7}\\\\m= 5[/tex]
Hence, the average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.
Learn more about Slope:
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Find the value of x iready
HEHE SORRY BUT PLEASE! the sum of A plus B equals 15. if B = 9, which equation can be used to find the value of A?
Answer:
A + 9 = 15
Step-by-step explanation:
given:
A + B = 15
if B is given 9, put it into the equation.
A + B = 15
A + 9 = 15
A = 15 - 9
A = 6
PLEASEEE HELP MEEE!!!!!
Answer:
I think that it is B
Step-by-step explanation:
Answer:
it is C
Step-by-step explanation:
I cant explain it but if you know what your doing and how to do it you will figure it out and try and retrace your steps
need help on this question.
Answer:
vertical angles - angle 4 and angle 2
complementary angles - angle 2 and angle 3
supplementary angles- angle 2 and angle 1
Freezer A has interior dimensions 2 ft×2 ft×4 ft and sells for $399.99. Freezer B has interior dimensions 2.5 ft×2.5 ft×3 ft and sells for $499.99. Which freezer is a better buy in terms of dollars per cubic foot? Use pencil and paper. Show your work and explain your reasoning.
Answer:
Freezer A is a better buy in terms of dollars per cubic foot.
Step-by-step explanation:
Freezer A: V = 2*2*4 = 16 ft^3
P/V= 400/16 = 25 $/ft^3
Freezer B: V = 2.5*2.5*3 = 18.75 ft^3
P/V= 500/18.75 = 26.6 $/ft^3
--> 25 < 26.6 that mean Freezer A is cheaper per cubic foot.
Solve -2/3-x > 8 or -2/3-x < 4
Answer:
x=<_26/3
OR
x=>_14/3
Add them together and divide
Find the value of x.
Answer:
155°
Step-by-step explanation:
The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...
180° -60° = 120°
The angle x is the sum of the remote interior angles of that large triangle:
x = 35° +120° = 155°
__
Check
The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...
180° -55° -60° = 65°
The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)
Ashley compares the fees charged by two babysitting agencies.The fees are shown below. Determine which function is described in the table below.Drag-and-drop either agency A or agency B into each box to correctly identify which function is described.
Answer:
Agency A: y = 12x
So Agency A pays a rate of $12 per hour
Agency B: y = 10x + 20
So Agency B pays an initial fee of $20 plus a rate of $10 per hour.
Step-by-step explanation:
Agency A
To create a straight line equation for the data in table, use [tex]y = mx + b[/tex], where m is the slope and b is the y-intercept.
To find the slope m, take 2 points from the table and use the slope formula.
Let [tex](x_1,y_1)[/tex] = (3, 36)
Let [tex](x_2,y_2)[/tex] = (5, 60)
Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{60-36}{5-3}=12[/tex]
Now use the point-slope formula to create the final equation:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-36=12(x-3)[/tex]
[tex]\implies y=12x[/tex]
Therefore, Agency A pays a rate of $12 per hour.
Agency B
From inspection, the function is a straight line.
Therefore we can use the straight line equation [tex]y = mx + b[/tex],
where m is the slope and b is the y-intercept.
From inspection, we can see that the line crosses the y-axis at (0,20). Therefore, the y-intercept is 20.
[tex]\implies y=mx+20[/tex]
Taking 2 points on the line and using the slope formula to find the slope m:
Let [tex](x_1,y_1)[/tex] = (0, 20)
Let [tex](x_2,y_2)[/tex] = (3, 50)
Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-20}{3-0}=10[/tex]
Therefore, the final equation is: [tex]y=10x+20[/tex]
Therefore, Agency B pays an initial fee of $20 plus a rate of $10 per hour.
What is the slope in
this equation?
y = mx + b
A. M
B. B
Answer:
M
Step-by-step explanation:
B is the y-intercept, and obviously it couldn't be that. M is the slope, 200% sure. That wasn't a typo either lol.
9. Select the proper order from least to greatest for 2/3, 7,48,%20-
O A.48,23,910,76
O B.23,910,76,48.
O c.48,910,76,33
OD.7.%10,43,48
Answer:
Step-by-step explanation:
Great job and good luck :)
what is 20/16=d/12? what equals d?
Answer:
d = 15
Step-by-step explanation:
Divide the numbers
[tex]\frac{20}{16} =\frac{d}{12}[/tex]
[tex]\frac{5}{4} =\frac{d}{12}[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]12*\frac{5}{4} =12*\frac{d}{12}[/tex]
Cancel multiplied terms that are in the denominator
[tex]12*\frac{5}{4} =d[/tex]
Multiply the numbers
[tex]15=d[/tex]
Move the variable to the left
[tex]d=15[/tex]
Hence, d= 15.
[RevyBreeze]
evaluate the expression s = 7;6s2
Hey there!
6s^2 or 6s2
= 6(7)^2 or 6(7)(2)
= 6(7 * 7) or 42(2)
= 6(49) or 84
= 294 or 84
Possible answer #1: 294
Possible answer #2: 84
We will just that your answer is: 294
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Can someone help me solve these inequalities all of them 3/5x+30 is more or equal to 150
Emily earns $0.30 for every 0.75 mile she bikes. How much does she earn for 15 miles?
Answer:
Emily would earn a total of $6 after biking 15 miles.
Step-by-step explanation:
0.75 x ___ = 15
0.75 x 20 = 15
0.30 x 20 = 6
I WILL CHOOSE BRAINLIEST as long as it looks correct
Choose the equation that has solutions ( 5 , 7 ) and ( 8 , 13 ) .
3 x − y = 8
3 x − y = 8
y = x + 2
y = x + 2
y − x = 5
y − x = 5
y = 2 x − 3
y = 2 x − 3
ANSWER:
y=2x-3
HOPE IT HELPS
Step-by-step explanation:
Add the system of equations each one by one.
I added them all downwards until i found the 4th one to be correct
y = 2x - 3
y = 2x - 3
--------------
2y = 4x - 6
y = 2x - 3.
To find the value of y in each coordinates given above, substitute their respective x values.
1......y = 2(5) - 3
= 10 - 3
= 7.
2......y = 2(8) - 3
= 16 - 3
= 13.
then write the value you substituted in x on the left side of each bracket & the value you got when you substituted them on the right.
(5 , 7) (8 , 13)
Pls help thankssssssssss
8.333 is the answer, divide 25 with 3
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Brandon currently uses. Card A Card B Amount $957. 00 $1,476. 12 APR 11% 15% Monthly Payment $18. 22 $31. 21 After 6 years, approximately how much will Brandon have saved in interest by consolidating the two balances? a. $224. 64 b. $935. 28 c. $901. 20 d. $145. 44.
The amount will Brandon has saved in interest by consolidating the two balances is $935. 28.
Credit card:A credit card can be used for the purchase of goods and services. Generally, a credit card has a specific limit. It is known as a line of credit (LOC).
Given
The table below shows the information about the two credit cards Brandon currently uses.
Card A Card B Amount $957. 00 $1,476. 12 APR 11% 15% Monthly Payment $18. 22 $31. 21
72 months payment of Credit Card A
$18. 22 × 72= $1311.84
72 months payment of Credit Card B
$31. 21 × 72= $2247.12
The amount will Brandon have saved in interest by consolidating the two balances is;
$2247.12 - $1311.84 = $935. 28
Hence, The amount will Brandon has saved in interest by consolidating the two balances is $935. 28.
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Answer:
✅ A. $224.64i got it right⬇️
The area of a parallelogram that has the base of 15m and A height of 13
Answer:
···⇒Area=195m²
Step-by-step explanation:
[tex]Solution,\\\\Base(b)=15m\\\\Height(h)=13m\\\\Now,\\\\Area=b*h\\\\Area=15m*13m\\\\Area=195m^{2}[/tex]
Answer:
The area of parallelogram is 195 m².
Step-by-step explanation:
As per given question we have provided that :
[tex]\purple\star[/tex] Base = 15 m[tex]\purple\star[/tex] Height = 13 mHere's the required formula to find the area of parallelogram :
[tex]\longrightarrow{\pmb{\sf{A = B \times H}}}[/tex]
[tex]\pink\star[/tex] A = Area [tex]\pink\star[/tex] B = Base[tex]\pink\star[/tex] H = HeightSubstituting all the given values in the formula to find the area of parallelogram :
[tex]\longrightarrow{\sf{A = B \times H}}[/tex]
[tex]\longrightarrow{\sf{A = 15 \times 13}}[/tex]
[tex]\longrightarrow{\sf{A = 195}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{A = 195 \: {m}^{2}}}}}}[/tex]
Hence, the area of parallelogram is 195 m².
[tex]\rule{300}{2.5}[/tex]
A graph contains the points (16,-4) and (-8, -2). What is the slope of the
graph?
1/12
-1/12
-12
12
Slope=y2-y1/x2-x1
so substitiuting the value of y2 y1 x2 and x1 we get answer 1/12
What is the genetic material (DNA and proteins) found in the nucleus called?
atoms
chromosomes
molecules
nucleolus
2) chromosomes
Step-by-step explanation:
"In the nucleus of each cell, the DNA molecule is packaged into thread-like structures called chromosomes" explanation from g.
A real estate agent earns a 6% commission for the sale of a home. A home sold for $350,000. What was the commission earned by the agent? $210 $2100 $21,000 $210,000.
Answer:21,000
Step-by-step explanation:
350,000 ×6/100 = 350,000×0.00.06 =21,000
The commission earned by the agent is $21,000 which is the 6% of the total selling price.
What is meant by Percentage?Percentage is defined as the parts of a number per fraction of 100. So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Given that,
Price for which the home is sold = $350,000
Percentage as commission earned by real estate agent = 6%
Amount of commission = 6% of $350,000
= 6% × 350,000
= (6/100) × 350,000
= 0.06 × 350,000
= $21,000
Hence the commission earned by the real estate agent is $21,000.
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12. A man walks 7km in 0.7 hours. How fast does he walk?
Answer:
He walks 10kph.
Steps:
So he walks 1km every 0.1 hour,
1 * 10 = 10
^
(which is 1.0 hour)
Answer:
10 km/h
Step-by-step explanation:
Speed = rate at which the man walks
= distance travelled/ time taken to travel the distance.
Distance travelled = 7 kmTime took = 0.7 hoursSpeed = distance/time
= 7/0.7
= 70/7
= 10 km/h
Therefore, he walks at a speed of 10 km/h
Which terms complete the factorization of x2+27x+162 represented by the model?
27, 9x, 18x
9, 9x, 18x
27, 9x, 27x
9, 9x, 27x
Answer:Answer: 9, 9x, 18x
Step-by-step explanation:
Hope it helps
Please help important
15 The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced? A 8% B 80% C 60% D 40%
Answer:
60%
Step-by-step explanation:
Put the percentages into decimal form and multiply by the 20. When you do this to the 60%, you get what they say the final total is, 12
Answer:
Step-by-step explanation:
the mismimostt plain and simple answer is that it's 60%
hope this helps :)