Answer:
[tex]\large\boxed{\red{\sf x =6+\sqrt{53},6-\sqrt{53}} }[/tex]
Step-by-step explanation:
We would like to solve the given quadratic equation by completing the square method .The given equation is ;
[tex]\longrightarrow x^2=12x +17[/tex]
Subtract 12x to both sides ,
[tex]\longrightarrow x^2-12x = 17 [/tex]
Here the co-efficient of x² is already 1 . So , we shall rewrite it as ,
[tex]\longrightarrow x^2-2(6)(x) = 17 [/tex]
Add 6² on both sides ,
[tex]\longrightarrow x^2-2(6)(x) + 6^2=17+6^2 [/tex]
Now LHS is in the form of (a-b)² = a²-2ab+b² ; so that ;
[tex]\longrightarrow (x -6)^2 = 17+36 [/tex]
Simplify RHS ,
[tex]\longrightarrow (x-6)^2=53 [/tex]
Put square root on both sides,
[tex]\longrightarrow (x-6) = \pm\sqrt{53}[/tex]
Add 6 on both sides,
[tex]\longrightarrow x = 6\pm\sqrt{53} [/tex]
Separate the two solutions ,
[tex]\longrightarrow \underline{\underline{x =6+\sqrt{53},6-\sqrt{53}}} [/tex]
And we are done!
The value of square root of 35 is between 5 and 6. Which of the following is a more precise approximation of square root of 35?
Answer:6
Step-by-step explanation:
because [tex]\sqrt{35}[/tex] is closer to 6 than 5 and is also about 5.9...
Jeff makes $30 to mow lawns plus $2 per hour. If Jeff made #38 for one lawn, how many hours did he work?
Answer:
4 hours
Step-by-step explanation:
What I did was since he automatically makes 30 dollars when mowing lawns, you can take it away then you have 8 and divide it by 2 then get 4 hours
It pays 6% interest annually for 2 years.
Liam would like to earn $750 in interest.
How much money does he need to put in?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$750\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &2 \end{cases} \\\\\\ 750 = (P)(0.06)(2)\implies \cfrac{750}{(0.06)(2)}=P\implies 6250=P[/tex]
which of the following measures can have more than one value for a set of data?
A. Mean
B. median
C. mode
D.range
Answer:
C. mode
Step-by-step explanation:
The median and mean can only have one value for a given data set. The mode can have more than one value (see Mode section on previous page).
-15x+3g=9 solve for y
Answer:
its nothing bc there is no y
Step-by-step explanation:
Write 23.4571 correct to
4 significant figures
Step-by-step explanation:
23.4571
Sig Figs6
Decimals4
Scientific Notation2.34571 × 101
Words twenty-three point four five seven one
Elsa earns $140 for working 20 hours.
What is Elsa's rate of pay for each hour she works?
A) $6.50 per hour
B) $7.00 per hour
C) $7.25 per hour
D)$8.00 per hour
Answer:
$7
Step-by-step explanation:
Suppose she is earning an equal amount for each hour she works:
$140 = 20h divide both sides by 20
$7 = 1h she earns $7 per hour
QUICKKKKKKKKKKKKKKKKKKKKKK PLSSSSSSSSSS
ILL MAKE U BRAINLYEST oops spelt it wrong anyway QUICKKKKKKKK IM ON A TIMER!!!!!!!
Dan drinks 6 more glasses of water than Becky.
Becky drinks 5 glasses of water.
How many glasses of water did Dan drink?
Answer:
Dan drank 11 glasses of water
Step-by-step explanation:
5 + 6 = 11
Answer:
11
Step-by-step explanation:
5+6=11
The ratio of left-handed students to right-handed students in Mr. Johnson's first period class is 2: 3. If there are 30 students in this class, how many are left-handed?
Answer:
12 left-handed students
Step-by-step explanation:
The ratio 2:3 indicates 2 left-handed students for every 3 right-handed students. This means 2 left-handed students are expected for every 5 total students. You can use this information and set up and solve the proportion 2/5 = x/30
hi can youhelp me plese
If h(x) = 2x+3 and g(x) = 3x-2, find the value of goh(5).
Answer:
h(x)=2x+3
g(x)=3x-2
First we will find goh(x) then we will put the value of x i.e 5.
goh(x)= 3(2x+3)-2
goh(x)=6x+9-2
goh(x)=6x+7
Now put the value of x, we get
goh(5)=6(5)+7
We get the answer 37
Step-by-step explanation:
Assume the total cost of a tertiary education will be R75 000 when your child enters university in 18 years. You presently have R7 000 to invest. What rate of interest must you earn on your investment to cover the cost of your child’s tertiary education?
Answer: you need 5000 more
Step-by-step explanation: 70000 + 5000= 75000
A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week?
Answer:
the first car has 25 gallons of gases while the second car has 35 gallons of gases
By the age of 27 justin had visited 25 of the 50 states what fraction of the states had justin visited
A:2/1
B:25/50
C:1/2
D:1/3
Answer:
Answer is B
Step-by-step explanation:
Answer:
Hello...
Step-by-step explanation:
The answer is:c)1/2
25/50=5/10=1/2
HOPE IT HELPS YOU DEAR....
Kristen drinks 0.5 liter of orange juice with breakfast each day for 15 days . how many milliliters of orange juice does Kristen drink during the 15 days?
Answer:
7500 ml
Step-by-step explanation:
first times 0.15 x 15
you get 7.5 liters during the 15 days
convert that into milliliters and its 7500ml
find the slope of the line that passes through the points A(-6,2) and B(5,-1).
A 3/11
B -3/11
C -1
D -11/3
Answer:
[tex]\boxed{\sf{m=-\dfrac{3}{11} }}[/tex]
Step-by-step explanation:
You simply need to use a slope formula that passes through the points in order to solve this problem.
Slope:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }[/tex]
y2=(-1)
y1=2
x2=5
x1=(-6)
Rewrite the problem down.
[tex]\sf{\dfrac{-1-2}{5-(-6)}=\dfrac{-1-2}{5+6}=\dfrac{-3}{11}=\boxed{\sf{-\dfrac{3}{11} }}}[/tex]
-3/11
Therefore, the slope is -3/11, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
Kammi wrote the numbers -3, -3.5, 4, and -4.5 in order from least to greatest. How did she write the numbers?
Since she is writing the numbers from least to greatest, they would be written like this:
-4.5, -3.5, -3, 4
The greater the negative number, the more the value decreases. Negative numbers are always less than non-negative numbers.
pls answer this all pls quickly now
Answer:
1. 35 minutes
2. 12:15 p.m.
3. 110 minutes
4. 6:05 p.m.
5. 9:21 a.m.
Step-by-step explanation:
1. Subtract 2:55 from 3:30 = 35
2. Subtract 25 minutes from 12:40 = 12:15
3. Subtract 7:20 from 9:10 = 110
4. Add 35 minutes to 5:30 = 6:05
5. Subtract 33 from 9:54 = 9:21
In
= 2n+2n²
find the first five terms
[tex]t(n) = 2 {n}^{2} + 2n [/tex]
_________________________________
[tex]t(1) = 2 ({1})^{2} + 2(1) [/tex]
[tex]t(1) = 2 \times 1 + 2 \times 1[/tex]
[tex]t(1) = 2 + 2 = 4[/tex]
##############################
[tex]t(2) = 2 ({2})^{2} + 2(2) [/tex]
[tex]t(2) = 2 \times 4 + 2 \times 2[/tex]
[tex]t(2) = 8 + 4 = 12[/tex]
##############################
[tex]t(3) = 2 ({3})^{2} + 2(3) [/tex]
[tex]t(3) = 2 \times 9 + 2 \times 3[/tex]
[tex]t(3) = 18 + 6 = 24[/tex]
##############################
[tex]t(4) = 2 ({4})^{2} + 2(4)[/tex]
[tex]t(4) = 2 \times 16 + 2 \times 4[/tex]
[tex]t(4) = 32 + 8 = 40[/tex]
##############################
[tex]t(5) = 2 ({5})^{2} + 2(5) [/tex]
[tex]t(5) = 2 \times 25 + 2 \times 5[/tex]
[tex]t(5) = 50 + 10[/tex]
[tex]t(5) = 60[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
how do i solve this can someone give me the answer
Answer:
I don't see a question, so it Imma answer how it seems.
It looks like it's B. x < -6.
(You can tell bc the circle is open and the arrow is pointing left.)
I think this is right
Step-by-step explanation:
Drag each expression to show whether it is equivalent to 36x+9 or 9(4x−1).
Answer:
It is not equivalent.
Step-by-step explanation:
9(4x-1) simplifys out to 36x-9.
Solve 2x + 8 + 5x - 2 = 90
Answer:
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+5x−2=90
Step 1: Simplify both sides of the equation.
2x+8+5x−2=90
2x+8+5x+−2=90
(2x+5x)+(8+−2)=90(Combine Like Terms)
7x+6=90
7x+6=90
Step 2: Subtract 6 from both sides.
7x+6−6=90−6
7x=84
Step 3: Divide both sides by 7.
7x7=847
x=12
What is the least common multiple of 4 and 12? 4 12 24 D48
Answer:
12
Step-by-step explanation:
The area of the garden is 96 square feet. The width of the garden is 8 feet. What is the length of fencing needed to put around the garden?
Answer:
12 ft
Step-by-step explanation:
Length = x
Area = length * width = x * 8 = 8x
so 8x = 96
x = 12 ft
Solve-3.5+4.2=?solve
Answer:
Step-by-step explanation:
0.7
-3.5
+ 4.2
______
A store sells ice cream with assorted toppings. They charge $$$3.00 for an ice cream plus $$50 cents per ounce of toppings.
How much does an ice cream cost with $$11 ounces of toppings?
Answer:
$5.50
Step-by-step explanation:
so if its $3 for an ice cream plus .50 cents per ounce all you have to do is 11 x 0.50 witch would equal $ 5.50.
If I dilate a 2x2 square by a scale factor of 3, what will be the new area?
Answer:
36 square units
Step-by-step explanation:
A 2x2 square has sides that are 2 units long.
When you dilate by a factor of 3, each side has a length 3 times the original length. 2 * 3 = 6. Each side is now 6 units long.
area = side * side = 6 units * 6 units = 36 units^2
What is the constant of proportionality?
Enter your answer in the box.
Answer:
12
Step-by-step explanation:
The constant of proportionality is the slope of the line, the ratio of the y-coordinate to the x-coordinate.
k = 36/3 = 12 . . . . . from the lower left point (not the origin)
__
Additional comment
This comes from the equation for a proportion:
y = kx
Solving for k, we get ...
k = y/x
A proportion always graphs as a line through the origin. The slope of it is k, the constant of proportionality.
Lines M and N are parallel. Find the measure of ∠b.
Answer: C
Step-by-step explanation:
Alternate interior angles theorem