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3 years ago

Find the vertex of the parabola whose equation is y = x2 + 6x + 2

Mathematics

2 answers:

avanturin [10]3 years ago

6 0

the vertex would be -7

Natalija [7]3 years ago

4 0

The vertex would be -7 because

you first have to find the axis of symmetry which is -b/2a so -6/2 is -3, now you have to plug it back in so -3^2 would be 9-18+2 which is -7

i hope this helpeddd

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How do I solve a problem like -8(n+3)+28=-5n-5

Xelga [282]

<span>-8(n+3)+28=-5n-5

-8n-24+28=-5n-5

</span>-8n+4=-5n-5

-8n+4-4=-5n-5-4

-8n=-5n-9

-8n+5n=-5n+5n-9

-3n=-9

-3n/-3=-9/-3

n=3

n=3 is the correct answer

8 0

3 years ago

Help me pls i don't understand the problem so can u give me the answers and also explain

WARRIOR [948]

Step-by-step explanation:

$\frac{2}{3} +\frac{4}{5} =\frac{10+12}{15}=\frac{22}{15} .$

2) the same value of the denominator of the fractions.

3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.

Megan's answer is correct.

4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).

5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.

6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.

7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.

6 0

3 years ago

Determine the margin of error for a 99% confidence interval to estimate the population proportion with a sample proportion equa

Harman [31]

Answer:dudjdjdjdjdjdjdjdjdjdjdjdjdjdjdiidjdjdjdjd

Step-by-step explanation:

6 0

3 years ago

Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in

amm1812

Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

7 0

3 years ago

Y=x +20. What is the operation represented in this relationship?

dlinn [17]

Answer:

addition

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers