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3 years ago

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?

Mathematics

2 answers:

IRINA_888 [86]3 years ago

5 0

Factor out 3 from the first two terms (D)

madreJ [45]3 years ago

3 0

F(x)=3x^2+6x-8
Formula: a=-b/2(a)
a=-6/2(3)=-3
I guess the answer is d)

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Which is the best estimate of the correlation coefficient for the scatter plot?

olga55 [171]

Answer:

The best estimate of the correlation coefficient is 0.9 from the given data.

Step-by-step explanation:

From the scatter plot, the line of best fit will have a positive slope.

So, the correlation coefficient , $\rho$ is greater than 0.

so, $\rho$ ≠ - 0.9

Also, there is a deviation from absolute linearity.

So, $\rho$ ≠ 1

Again from the scatter plot it is closer to linearity than further.

Hence, $\rho$ ≠ 0.3 .

So $\rho$ = 0.9

6 0

3 years ago

The diagram shows a semi circle inside a rectangle of length 140m. the semi circle touches the rectangle at P, Q and R. Calculat

exis [7]

Answer: 250m

Step-by-step explanation:

Length of rectangle = 140m

Length of rectangle = diameter of semicircle = 140m

Therefore, Radius(r) = 140m / 2 = 70m

Perimeter of the shaded region:

Length of tangent at P + length of tangent at Q + shaded portion of arc(AB)

Length of tangent = diameter / 2

Length of tangent = 70m

Perimeter of a circle = 2πr = 2 × 22/7 × 70 = 440m

shaded portion = 440 / 4 = 110m

Therefore, perimeter of shaded portion equals

70m + 70m + 110m = 250m

4 0

3 years ago

xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

Two fifths of the children in the nursery were boys. What was the ratio of boys to girls in the nursery?

Shtirlitz [24]

The answer would be 2:3

6 0

3 years ago

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Yuto and Hila attempted to solve the same inequalit

enyata [817]

Answer:yes hila is incorrect

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers