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4 years ago

I need help with #2 (click the attached photo to view properly)I will mark Branliest

Mathematics

1 answer:

Shtirlitz [24]4 years ago

7 0

Hi there! :)

$\large\boxed{j(h(x))(2) = 31}$

Solve for j(h(x)):

h(x) = x² + 4

j(x) = 4x - 1

Substitute in h(x) into "x":

j(h(x)) = 4(x² + 4) - 1

j(h(x)) = 4x² + 16 - 1

j(h(x)) = 4x² + 15

Solve at x = 2:

4(2)² + 15 = 4(4) + 15 = 31.

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Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

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Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5x + x = 24

⇒6x = 24

⇒ $x=\frac{24}{6}=4$

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3 years ago

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3 years ago

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please help me A portion of Taquan's check register is shown. Before Taquan made his utility payment on March 24, the balance of

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The check register is used to show the total amount Taquan spent

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<h3>How to determine the amount before making the utility payment?</h3>

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Read more about check register at:

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2 years ago

In a group of 40 people, 27 can speak English and 25 can speak Spanish. How many can speak

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$\qquad {\: \:\bigstar \: {\underline{\overline{\boxed{\bf{Information \: provided \: with \: us }}}}}\: \bigstar}$

➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

$\qquad {\: \:\bigstar \: {\underline{\overline{\boxed{\bf{What \: we \: have \: to \: find ? }}}}}\: \bigstar}$

➻ The required number of people who can speak both English and Spanish .

$\qquad {\: \:\bigstar \: {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}$

Consider ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

$\qquad {\: \:\bigstar \: {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}$

➻ n (A) = 27

➻ n (B) = 25

➻ n (A∪B) = 40

➻ n(A∩B) = ?

$\qquad {\: \:\bigstar \: {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}$

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - n (A∩B)

➻ 40 = 52 - n (A∩B)

➻ n (A∩B) = 52 - 40

➻ ∴ n (A∩B) = 12

$\qquad {\: \:\bigstar \: {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}$

∴ Required Number of persons who can speak both English and Spanish are 12 .

━━━━━━━━━━━━━━━━━━━━━━

$\qquad {\: \:\bigstar \: {\underline{\overline{\boxed{\bf{Verification}}}}}\: \bigstar}$

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - 12

➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

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2 years ago

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Answer:

Step-by-step explanation:

Well you just plug in 10 as n.. and you get the equation:

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2 years ago

I need help with #2 (click the attached photo to view properly)I will mark Branliest​

I need help with #2 (click the attached photo to view properly)I will mark Branliest