Answer:
x
=
±
2
√
3
−
3
Step-by-step explanation:
Add
3
to both sides of the equation.
x
2
+
6
x
=
3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
3
)
2
Add the term to each side of the equation.
x
2
+
6
x
+
(
3
)
2
=
3
+
(
3
)
2
Simplify the equation.
Tap for more steps...
x
2
+
6
x
+
9
=
12
Factor the perfect trinomial square into
(
x
+
3
)
2
.
(
x
+
3
)
2
=
12
Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?
Answer:
Two hours
Step-by-step explanation:
1/4 = 1/2
2/4 = 1
3/4 = 1 1/2
4/4 = 2
What is 2.5 repeating written as a simplified improper fraction?
Answer:
2.5 equals 23 /9 as an improper fraction or 25 /9 as a mixed number.
Step-by-step explanation:
you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10
What is 25% increase of 12
Answer:
15 or 3
Step-by-step explanation:
multiply 12 by .25 and you will get 3. that is 25% of 12. add 3 you will get 15.
I didn't know if you wanted to know how much it increased or final answer.
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
URGENT
6. Given a line with slope m=-2 that passes through the point (-3, 4), find the equation of
in standard form.
A. 2x + y - 2 = 0
B.2x -y-2 = 0
C. 2x + y + 2 = 0
D.y = 2x + 2
Answer:
first write the equation in point-slope form
y - 4 = -2 (x - (-3)) (then, solve the equation to get your answer)
y -4 = -2 (x +3) (use the distributive property)
y - 4 = -2x -6 (add 6 to both sides)
y +2 =-2x (add 2x to both sides)
2x +y +2= 0 (this is your answer)
The density curve below represents the number of minutes Anastasia takes to go from her chemistry class to her Spanish class. у x 1 3 4 N What is the height of the density curve?
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
Which of these angles can replace x in tan (x)?
A. □
B. None of these angles are correct.
C. φ
D. θ
Answer:
C. φ
Step-by-step explanation:
[tex]tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi[/tex]
Thus [tex] \Phi [/tex] can replace x
Point J (-8, -12) is reflected over the x-axis. Where is J?
Answer:
2,5
Step-by-step explanation:
9) Eva can knit 2/5 of a scarf in an hour. Her sister takes 3/4 of the time she
takes. How long will her sister take to knit 8 similar scarves?
The time taken by sister of Eva to knit 8 similar scarves, if Eva can knit 2/5 of a scarf in an hour. Her sister takes 3/4 of the time she takes is 2.4 hours.
What is the ratio?It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3.
Given:
Eva can knit 2/5 of a scarf in an hour. Her sister takes 3/4 of the time she takes,
Calculate the time taken by the sister of Eva as shown below,
The time taken by the sister to knit a scarf = 3 / 4 × 2 / 5 hours
The time taken by the sister to knit 8 scarves = 3 / 10 × 8 hours
The time taken by the sister to knit 8 scarves = 2.4 hours
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-26=b-13
Plz answer I’m a month late on this test
Answer:
B = -13
Step-by-step explanation:
Add 13 to both sides
- 13 = b
Find the value of x 6x+2-2x=3x+14-x
Step-by-step explanation:
x will equal 6
hope this helps bro if u need the explanation I'll explain to u if needed
6x + 2 - 2x = 3x + 14 - x
6x - 2x + 2 = 3x - x + 14
4x + 2 = 2x + 14
4x - 2x = 14 - 2
2x = 12
x = 12/2
x = 6
If the Age of a tree was predicted to be 800 years old using the regression equation, y = 4.39x - 6.77, what did the Diameter have to be?
Answer:125cm
Step-by-step explanation:
Identify the GCF of 36 and 24
6
12
2
8
Answer:
12...you already figured it out but alr
Step-by-step explanation:
Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling $7,435,000. The costs associated with each project were: Project 1: $1,245,000 Project 2: $985,689 Project 3: $1,723,000 Project 4: $2,567,054 Project 5: $633,768 How much profit did the company earn?
Answer:
the Profit earned by the company is $280,489
Step-by-step explanation:
Total Cost of 5 projects awarded = $7,435,000
Cost of Project 1 = $1,245,000
Cost of Project 2 = $985,689
Cost of Project 3 = $1,723,000
Cost of Project 4 = $2,567,054
Cost of Project 5 = $633,768
We need to find the profit earned by the company.
First we need to find Total cost spent on all 5 projects.
It can be found by adding cost spent on all projects.
Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5
Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768
Total cost spent on all 5 projects = $7,154,511
Now we can calculate profit earned using formula:
Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects
Profit earned = $7,435,000 - $7,154,511
Profit earned = $1,280,489
So, the Profit earned by the company is $280,489
A light bulb consumes 9900 watt-hours in 5 days and 12 hours. How many watt-hours does it consume per day?
Do y’all know the answer ?
Answer:
700
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
because it 719,283 so you have to look at the 71 for this equation and sense the 1 is in higher then 5 it stays the same
hope that helps :)
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: Decimal: Percent: %
Answer:
Fraction = [tex]\frac{19}{50}[/tex]
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area = [tex]\frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}[/tex]
= [tex]\frac{38}{100}[/tex]
= [tex]\frac{19\times 2}{50\times 2}[/tex]
= [tex]\frac{19}{50}[/tex]
Decimal form of the shaded area = [tex]\frac{38}{100}[/tex] = 0.38
Percent of the shaded area = [tex]\frac{38}{100}[/tex] = 38%
Answer:
Fraction =
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area =
=
=
=
The decimal form of the shaded area = = 0.38
Percent of the shaded area = = 38%
A store sell canned fruit in two sizes. A 24 ounce can for $2.63 and a 3.9 ounce can for $0.52. Which is the better buy? Explain (tell how much each would cost for 1 ounce)
Answer:
24 ounce one
Step-by-step explanation:
You divide 3.9 by 24 round it to 6 times .52 to 6 it is 3.12
2.63<3.12
ahh asap I need help ASAPPP ahhh
Answer:
2301
Step-by-step explanation:
Hope this helped
please mark me as brainlist :|(6e-3f-3/4) in a equivalent expression
Answer:
Step-by-step explanation:
(6e-3f-3/4) contains two terms which do not involve fractions and one fractional term (3/4).
We can safely remove the parentheses. Then:
(6e-3f-3/4) => 6e - 3f - 3/4
That is "an equivalent expression."
We could go further and create one equivalent fraction. Multiply the first two terms by 4/4, obtaining:
24e 12f 3 24e - 12f - 3 3(8e - 4f - 1
------ - ------ - ----- => ---------------------- => -------------------
4 4 4 4 4
Other equivalent expressions exist here.
the rate of change of function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1. Is function g linear, quadratic or exponential?
Answer:
We conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.
Thus, the function is linear.
Step-by-step explanation:
We know that the rate of change remains constant for a linear function.
In other words, the rate of change does not change for the entire domain of a linear function.Comparing with the slope-intercept form
The slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope or rate of change
For example, considering the linear function
[tex]y = 6x + 4[/tex]
Then the average rate of change is 6 over any interval selected.
Therefore, we conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.
Thus, the function is linear.
What is an equation in point slope form of the line that passes through the point (8,5) and has a slope -7?
The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is 24.2 gallons per year. A random sample of 101 people in the United States shows that the mean coffee consumption is 23.5 gallons per year with a standard deviation of 3.2 gallons. At α=0.05, can you reject the claim? Using a P-value, evaluate the claim. Using Rejection Regions for a z-test, evaluate the claim.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 24.2 \ gallons \ per \ year[/tex]
The sample size is n = 101
The sample mean is [tex]\= x = 23.5 \ gallons\ per\ year[/tex]
The standard deviation is [tex]\sigma = 3.2 \ gallons[/tex]
The null hypothesis is [tex]H_o : \mu = 24.2[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]
=> [tex]z = -2.198[/tex]
From the z table the area under the normal curve to the left corresponding to -2.198 is
[tex]P(Z < -2.198 ) = 0.013975[/tex]
Gnerally the p-value is mathematically represented as
[tex]p-value = 0.013975 * 2[/tex]
=> [tex]p-value = 0.02795[/tex]
From the value obtained we have that [tex]p-value \ < \ \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Using the Rejection Regions for a z-test method
Generally from the z table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]z_{critical} = \pm 1.96[/tex]
Not we are using [tex]\frac{\alpha }{2}[/tex] because it is a two - tailed test
Now comparing the critical value and the test statistics we see that the
region covered by the test statistics (i.e [tex]2.198 < z < -2.198[/tex]) is greater than the region covered by the critical value (i.e [tex]1.96 < z < -1.96[/tex])
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
i need help with this
Answer:
x w1ll b3 with the 4x+19
Step-by-step explanation:
I NEED HELP! WHO EVER ANSWERS FIRST I WILL MARK BRAINLIEST
Answer:
54
Step-by-step explanation:
30 is 5/6 of what number?
Answer:
12
Step-by-step explanation: because 30 divided by 5/6 gives you your simplified answer of 12 when you switch over the incomplete progress of elimination when overwriting your decimal place so , that gives you 12
The solution for a number that satisfies the condition ''5/6 times a number is 30.'' is, 12
We have to give that,
To find a number which is 5/6 times a number is 30.
Now, let us assume that,
A number = x
Hence, it can be written as,
⇒ [tex]\dfrac{5}{6} \times x = 30[/tex]
Solve for x,
Multiply by 6 on both sides,
⇒ [tex]5x = 10 \times 6[/tex]
⇒ [tex]5x = 60[/tex]
Divide 5 on both sides,
⇒ [tex]x = \dfrac{60}{5}[/tex]
Simplify it,
⇒ [tex]x = 12[/tex]
Therefore, the solution is, x = 12
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there are 9 computers and 75 students what is the unit rate of students to computers
Answer:
8.333333..... on and on
Step-by-step explanation:
For 15 please help
will mark as branliest
Answer:
c
Step-by-step explanation:
Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm
Answer:
D. 15 cm, 9 cm, 24 cm
Step-by-step explanation:
The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;
---sum of any two smaller sides chosen must be equal to the third side.
Test option A : 6 cm + 11 cm = 17 cm ( 17 cm ≠ 23 cm)
Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)
Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)
Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.
Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm